Answers
The value of u is given by the equation u = 37°
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the sum of total internal angles of a triangle be = 180°
Now , the triangle be ΔABC
The measure of ∠A = u + 4°
The measure of ∠B = u
The measure of ∠C = ( 180° - ( u + 41° ) ) ( angles on a straight line = 180° )
From the triangle theorem ,
u + 4° + u + ( 180° - ( u + 41° ) ) = 180° be equation (1)
On simplifying the equation , we get
2u + 184° - u - 41° = 180°
u + 143° = 180°
Subtracting 143° on both sides of the equation , we get
u = 37°
Therefore , the value of u is 37°
Hence , the value of u in the triangle is 37°
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Related Questions
A contour map is shown for a function f on the square R = [0, 8] [0, 8].
(a) Use the Midpoint Rule with m = n = 2 to estimate the value of ∫∫R f(x,y) dA. (Round your answer to the nearest integer.)
1360 ×
(b) Estimate the average value of f. (Round your answer to one decimal place.)
21.3 ×
Answers
The average value of f is 16.25.
What is contour map?A contour line of a function of two variables is a curve along which the function has a constant value, so that the curve joins points of equal value. It is a plane section of the three-dimensional graph of the function f parallel to the-plane.
Given that, a contour map is shown for a function f on the square R = [0, 8] [0, 8].
Since the given square is 8 by 8 and we are using m=n=2, then each sub-rectangle is 4 by 4. So, the area of the given rectangle is 64 and the area of each sub-rectangle is 16, that is, ΔA=16
Furthermore, the centers of the sub-rectangles are (2,2),(2,6),(6,2),(6,6).
a) The estimated value of [tex]\int\limits\int\limits_R f{x} \, dA[/tex]
=16⋅f(2,2)+16⋅f(2,6)+16⋅f(6,2)+16⋅f(6,6)
≈16⋅27+16⋅3+16⋅12+16⋅23
≈1040
b) The average value of f will be
[tex]f_{avg}=\frac{1}{A}.\int\limits\int\limits_R (x, y) \, dA[/tex]
≈ 1/64 ×1040
≈ 16.25
Therefore, the average value of f is 16.25.
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If f(x) = 2x4 - 3x + 3, then what is the remainder when f(x) is divided by x - 1?
Answers
The remainder on dividing 2x⁴-3x+3 by x-1 is 2
What are functions?Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given here: 2x⁴-3x+3 by x-1
The remainder theorem states that when a polynomial p(x) is divided by (x - a), then the remainder = f(a)
∴ The remainder would is f(1) = 2×1-3+3
=2
Hence, The remainder on dividing 2x⁴-3x+3 by x-1 is 2
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Which integer in the set has the greatest value (4, -4, -3, 3)?
A. 4
B. 3
C. -3
D. -4
Answers
Answer:
A. 4
Step-by-step explanation:
4 is a positive number which is larger to 3 and bigger than negative numbers.
Answer:
Step-by-step explanation:
i\
i \
i \
i /
i /
Val had 2 1/2 hours to finish a slide presentation. It takes her 1/6 hour to create each slide. Will Val have enough time to create 12 slides? Explain ur reasoning
Answers
will she have enough time for 12 slides? we dunno, but we know it takes 1/6 hour to make one hmmm for 12 slides that'd be simply their product
[tex]\stackrel{slides}{12}\cdot \stackrel{\textit{it takes one}}{\cfrac{1}{6}}\implies \cfrac{12}{6}\implies 2~hours\qquad \textit{yeap, she has enough time}[/tex]
she even has an extra 30 minutes to check out what's for dinner.
A growing amusement park is able to sell 7 times as many tickets each year as it did the year before. If you list the number of tickets sold over time, what kind of sequence will you see?
tysm ;-;
Answers
The kind of sequence that you will obtain when you list the number of tickets sold over time is given as follows:
A geometric sequence.
How to classify the sequence?A sequence can be classified as either arithmetic or geometric, as follows:
Arithmetic sequence: the difference between consecutive terms is constant.Geometric sequence: the ratio between consecutive terms is constant.If none of these statements is true, then the function is neither arithmetic or geometric.
A growing amusement park is able to sell 7 times as many tickets each year as it did the year before, which means that there is a constant ratio of 7 between the amounts of tickets sold each year, and thus this sequence is a geometric sequence.
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7 time a number , increased by 4
Answers
Answer:
7 times a number increased by 4 times the number
Let a number and the number be an arbitrary variable. Let's call it x. We have an algebraic expression. Let's take it in pieces:
7 times a number: 7x
4 times the number: 4x
The phrase increased by means we add 4x to 7x:
7x + 4x
Simplifying, we get: (7 + 4)x
11x
Step-by-step explanation:
The volume of
a refrigerator, in cubic centimeters, is given
by the function V(x) = (x)(x + 1)(x – 2). Write a
new function for the volume of the refrigerator
in cubic millimeters if x is in centimeters.
Answers
The newly rewritten function expression of V(x) is V(x) = (x)(x + 1)(x – 2)/1000
How to rewrite the function expression?From the question, we have the following parameters that can be used in our computation:
A function expression
The function expression is given as
V(x) = (x)(x + 1)(x – 2)
Where if x is in centimeters and V(x) is in cubic centimeters
The new function for the volume of the refrigerator is stated to be in cubic millimeters
Using the above as a guide, we have the following:
1 cubic centimeters = 1000 cubic millimeters
So, we have
V(x) = (x)(x + 1)(x – 2)
1 cubic centimeters = 1000 cubic millimeters
Cross multiply
V(x) * 1000 = 1* (x)(x + 1)(x – 2)
Divide both sides by 1000
V(x) = (x)(x + 1)(x – 2)/1000
Hence, the function is V(x) = (x)(x + 1)(x – 2)/1000
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A monomial with a degree of 3
Answers
The polynomial 4 · x³ is a monomial of degree 3.
What is a monomial?
In algebra there are two types of numbers: constants and variables. Constants are constant real numbers, while variables are real numbers that may represent more than a real number.
Polynomials are the result of combination of constants, variables and fundamental operators (addition, multiplication) and can be classified according to the number of terms:
Monomial - Polynomial with one term.
Binomial - Polynomial with two terms.
Trinomial - Polynomial with three terms.
Polynomial - Polynomial with four or more terms.
The grade of the polynomial is the maximum power that accompany a term in a polynomial in standard form. Then, we can bring an example of polynomial with a degree 3 below:
p(x) = 4 · x³
This is a monomial (polynomial with one term) with degree 3.
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GEOMETRY PLEASE HELP. Can you see triangles in this baseball player’s posture? Find how players improve using the properties of geometry to evaluate their positions and postures. Choose at least three examples and explain how the concepts you learned about in this Unit relate to the examples you find. For example, you might look for certain triangles formed in golf or baseball swings, or you could look for the triangles formed by players on a soccer field.
Answers
Therefore , the solution to the given problem of trigonometry comes out to be Additionally, the symmetry of these basketball courts, tennis courts, and soccer fields is mirror imaged.
What is trigonometry?Trigonometry is the discipline of mathematics that studies correlations between angles and sides of triangles. Trigonometry is present in all of geometry because every straight-sided form may be reduced to a set of triangles. Amazingly intricate connections exist between trigonometry and other areas of mathematics, particularly calculus, real or complex, infinite series, logarithms, and infinite series.
Here,
Geometry has a wide variety of shapes depending on the size. The 2-d shapes include a variety of polygonal forms and the following: circle, triangle, square, rectangle, kite, trapezium, parallelogram, and rhombus.
The fundamental shapes in three dimensions are cube, cuboid, sphere, cone, and cylinder.
Many sports use geometric forms to help delineate the precise areas of play.
View the soccer field below to see how it is composed of quadrilaterals, rectangles, 90-degree angles, and circles.
Additionally, the symmetry of these basketball courts, tennis courts, and soccer fields is mirror imaged.
Therefore , the solution to the given problem of trigonometry comes out to be Additionally, the symmetry of these basketball courts, tennis courts, and soccer fields is mirror imaged.
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Melissa opened a savings account and deposited $700.00 as principal. The account earns 15% interest, compounded annually. What is the balance after 8 years?
Use the formula A=P1+
r
n
nt, where A is the balance (final amount), P is the principal (starting amount), r is the interest rate expressed as a decimal, n is the number of times per year that the interest is compounded, and t is the time in years.
Round your answer to the nearest cent.
Answers
Balance after 8 years is $2,306.86 at an interest rate of 15 % compounded yearly.
What is compound interest?Compound interest simply refers to the fact that an investment, loan, or bank account's interest accrues exponentially over time as opposed to linearly over time. The word "compound" is crucial here.
given, Melissa opened a savings account and deposited $700.00 as principal. The account earns 15% interest
from the general formula of compound interest
A = [tex]P(1 + r/n)^{nt}[/tex]
where A is the balance (final amount), P is the principal (starting amount), r is the interest rate expressed as a decimal, n is the number of times per year that the interest is compounded, and t is the time in years.
Given, P = 700$
r = 15%
t = 8 years
A = 700(1 + 15/100)⁸
A = 2306.86$
Therefore, At a 15% annual compounded interest rate, the remaining balance after 8 years is $2,306.86.
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what is reference angle for 7pi/4
Answers
The reference angle of 7pi/4 is pi/4
What is reference angle?The acute angle formed by the terminal arm or side and the x-axis is known as the reference angle.
There is always a positive reference angle. The reference angle is, in other words, the angle formed by the terminal side and the x-axis. It must always be positive and less than 90 degrees.
considering angle 7 pi/4, the angle is pi/4 away from 2 pi.
7 pi/4 + pi/4 = 8 pi/4 = 2 pi
We can therefore conclude that 7 pi/4 is an angle on the third quadrant and the reference angle is pi/4.
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Shirt Prices
$50, $35, $48,
$31, $34
What is the median price of the five shirts?
Answers
Answer: 35 would be the median
Step-by-step explanation: Put the numbers in order and whichever one is the middle value is the median
Answer:
35
Step-by-step explanation:
The median is the middle price when listed from smallest to largest
31, 34, 35, 48, 50
The middle price is 35
The median is 35
Using the following conversions between the metric and U.S. systems, convert the measurement.
Round your answer to 6 decimal places as needed
1 meter = 3.28 feet
1 Liter = 0.26 gallons
1 kilogram = 2.20 pounds
0.828 oz=________cg
Answers
Using the conversion between metric and U.S systems the value of 0.828oz is 2347.34 cg.
What is metric conversion?A system of measurements is called the metric system. It is employed in calculations and research across the globe. Some examples of metric system are distance in lengths, weights in grams, volume in milliliters and much more.
The conversion between ounces (oz) into centigram (cg) is given as follows:
1 oz = 2834.95
To convert 0.828 oz into centigram we need to multiply the value 0.828 oz with 2834.95 as follows:
(0.828) (2834.95)
2347.35
Hence the value of 0.828 oz is 2347.34 cg according to the conversion from metric to US system.
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Activity: Factor Theorem
Use the Remainder Theorem and Factor Theorem to determine whether the given
binomial is a factor of P(x).
P(x) = 9x³+ 6x - 40 - 2x² + 2x4; binomial: x + 5
the given problem.
Answers
The given polynomial is a factor of P(x) because P(-5)=0.
From the remainder theorem, how do you derive the factor theorem?The Remainder Theorem states that if a synthetic division of a polynomial by x = a results in a zero remainder, then x = an is a zero of the polynomial (thanks to the Remainder Theorem), and x an is also a factor of the polynomial (courtesy of the Factor Theorem).
How can you tell if P(x) is a factor of X C?The Factor Theorem states that x - c is only a factor of P(x) when P(c) = 0.
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Help me I do t know how to do this
Answers
1. Three graphs were created and the solution is identified on the graphs.
Solutions are
System A is upper right (1, 2)
System B is lower left ( 5, -6)
System C is lower right ( 1/2, 3)
2. Find the sum or difference. When you solve this way, you want either the x or the y values to cancel out so you can solve for one variable.
System A is already set up this way. See how the 4x and -4x cancel out?
4x + 3y = 10
-4x +5y = 6
__________
8y = 16
Divide both sides by 8 to solve
8/8 y = 16/8
y = 2
Sub y = 2 into either equation to solve x
4x + 3y = 10
4x + (3)(2) = 10
4x + 6 = 10
Subtract 6 from both sides to isolate variable
4x + 6 -6 = 10 - 6
Simplify
4x = 4
Divide both sides by 4 to solve
4/4 x = 4/4
x = 1
Solution pair is (1, 2)
System B has the y values ready to cancel out
2x + y = 4
x - y = 11
__________
3x .= 15
Divide both sides by 3 to solve for x
3/3 x = 15/3
x = 5
Sub x = 5 into either equation to solve for y
5 - y = 11
Subtract 5 from both sides
5-5 -y = 11 - 5
-y = 6
y = -6
Solution pair is ( 5, -6 )
System C - we need to multiply the second equation by -1 to create the cancel of x
8x + 11y = 37
8x + y = 7
-1. -1. -1
___________
-8x -y = -7
Now we can cancel the x’s and solve
8x + 11y = 37
-8x -y = -7
___________
10y = 30
Divide both sides by 10
10/10 y = 30/10
Simplify
y = 3
Now sub y = 3 into either equation to solve x
8x + (11)(3)= 37
8x + 33 = 37
Subtract 33 from both sides
8x + 33 - 33 = 37 - 33
8x = 4
Divide both sides by 8 to solve for x
8/8 x = 4/8
x = 4/8
Simplify
x = 1/2
Solution pair is ( 1/2, 3)
3. The graphs show the x horizontal line and y vertical line from the coordinate solution intersect with the lines of the two equations.
This was a lot of work. I hope it made sense.
FIND C.
Give your answer in the simplest form
Answers
Answer:
3
Step-by-step explanation:
[tex] \sin(45) = \frac{a}{7 \sqrt{2} } [/tex]
[tex]a = 7[/tex]
[tex] \tan(30) = \frac{7}{c} [/tex]
[tex]c = 7 \sqrt{ 3} [/tex]
therefore 3 is required in the green box
1 Chinese yuan= $0.14567. How many Chinese yuan can u buy for a dollar
Answers
The Chinese yuan you can buy for a dollar is 6.86483 Chinese yuan
How to determine how many Chinese yuan you can buy for a dollarFrom the question, we have the following parameters that can be used in our computation:
1 Chinese yuan= $0.14567
Divide both sides of the equation by 0.14567
So, we have the following representation
1/0.14567 Chinese yuan= $0.14567/0.14567
Evaluate the quotient
1/0.14567 Chinese yuan= $1
Evaluate the other quotient
6.86483 Chinese yuan= $1
This means that
$1 = 6.86483 Chinese yuan
Hence, you can buy 6.86483 Chinese yuan for $1
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You want to buy a $135,000 home. You plan to pay 5% as a down payment, and take out a 30 year loan at
6.1% interest for the rest.
How much is the loan amount going to be?
What will your monthly payments be?
How much total interest do you pay?
Suppose you want to pay off the loan in 15 years rather than 30. What will your monthly payment be?
Answers
On solving the provided question, we can say that - so, percentage - 400/500 X 100 = 80%
What is percentage?A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.
here,
total is 500
obtained is 400
so, percentage - 400/500 X 100 = 80%
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ccording to the Australian Bureau of Agricultural and Resource Economics, Queensland egg farmers produce millions of eggs every year. Suppose egg production per year in Queensland is normally distributed, with a standard deviation of 83 million eggs. If during only 3% of the years Queensland egg farmers produce more than 2,655 million eggs, what is the mean egg production by Queensland farmers (in million)?
Round your answer to 1 decimal place.
Answers
The standard deviation of 83 million eggs and 2,655 millions eggs represent that of 3% of the farmers, of the production that is normally distributed, indicates that the mean egg production by Queensland farmers is about 2498.1 million eggs.
What is a normal distribution?A normal distribution is a probability distribution such that the values of the distribution are symmetrical around the mean value of the distribution.
The standard deviation, σ = 83 million eggs
The percentage of farmers that produce more than 2,655 million eggs, x = 3%
The formula for the z-score is; [tex]Z = \dfrac{x - \mu}{\sigma}[/tex]
Therefore, we get;
[tex]Z = \dfrac{2655 - \mu}{83}[/tex]
From the z-score table for P(Z > Z₁), where Z₁ is the z-score corresponding to Φ(1 - 0.03) = Φ(0.97)
The z-value corresponding to Φ(0.97) is about 1.89
Therefore;
[tex]Z = \dfrac{2655 - \mu}{83} \approx 1.89[/tex]
83 × 1.89 ≈ 2655 - μ
μ ≈ 2655 - 83 × 1.89 = 2498.1
The mean egg production by Queensland farmers is about 2498.1 million eggs per year
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What is the greatest common factor of 20 and 65
Answers
Answer:
5
Step-by-step explanation:
Answer:I believe it would be 5
Step-by-step explanation:
because if you do it on a table chart you reach five first as the same number
Write the name of each of these polygons
Answers
Answer:
In geometry, a polygon can be defined as a flat or
plane, two-dimensional closed shape bounded with
straight sides. It does not have curved sides. The
sides of a polygon are also called its edges. The
points where two sides meet are the vertices (or
corners) of a polygon
1. polygon with four sides is called a Quadrilateral
2. polygon with six sides is called hexagon
3. polygon with five sides is called pentagon
Hope this helps?
A store sells the basic model of a phone for $60 and the upgraded model for $200. It costs the store $10 to buy each basic model and $50 to buy each upgraded model from the phone company. On Tuesday, the store has $1,800 in sales for these two models, and it paid the phone company $400 to buy these phones. How many upgraded models did the store sell on Tuesday?
6 upgraded phones
10 upgraded phones
15 upgraded phones
42 upgraded phones
Answers
Answer:
Step-by-step explanation:
C.) 15 upgraded phones
Rami's glass is 1/2 full. Will's glass is 3/8 full. Whose glass is fuller? How much fuller is it?
Answers
Rami's glass is fuller than Will's glass by 1/8
How to determine whose glass is fuller?From the question, we have the following parameters that can be used in our computation:
Rami's glass is 1/2 full. Will's glass is 3/8 full.
Convert the fractions to decimal
This gives
Rami's glass is 0.5 full. Will's glass is 0.375 full.
0.5 is greater than 0.375
So, Rami's glass is fuller
How much fuller is it?To do this, we calculate the difference
So, we have
Difference = 0.5 - 0.375
Evaluate
Difference = 0.125
Rewrite as
Difference = 1/8
Hence, it is 1/8 fuller
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Explain what an exponential form is but leveled down for high schoolers
Answers
The required exponential function is given as y = aˣ where the value of a should be positive always.
What is an exponential function?The function which is in format f(x) =aˣ where a is constant and x is variable, the domain of this exponential function lies (-∞, ∞).
here,
Since from the above definition exponential function is given as y = aˣ,
This shows the exponential increase and decrease, by means of exponential increase and decrease, a sudden in increase and sudden decrease of function as the value of a varies, see in the graph after the answer. And the value of an always remains positive.
Thus, the required exponential function is given as y = aˣ where the value of a should be positive always.
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In a certain chemical, the ratio of zinc to copper is 3 to 14. A jar of the chemical contains 686 grams of copper. How many grams of zinc does it contain?
Answers
Answer:
Ratios and fractions are connected. A ratio of 3 to 14 is the same thing as 3/14. Multiply 686 by 3/14. You will get 147. That is your amount of zinc. If we simplify 147/686, or 147:686, we get 3:14 confirming our answer.
Answer:
147 grams of zinc-----------------------------------
Let the amount of zinc be x. Then we have equal ratios:
3/14 = x/686Solve it for x:
x = 686*3/14x = 147a tee junction occurs when a connection meets an existing pipe of header at what angle? A 180 degree, B 30 degree, C. 90 degree, D.45 degree
Answers
Tee welding joints are formed when two members intersect at a 90-degree angle that makes the edges come together in the center of a plate or component
Database A contains 40 data items and is made up with an equal number of the values of 0 and 100 and has a mean of 50. Database B also has 40 entries made up equally of the values 49 and 51 and also has a mean of 50. Which database will have the smaller value for its standard deviation?
Answers
If we compare the given values then we can find that database B is more likely to have a smaller standard deviation.
What is the standard deviation?The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers.
While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.
Given that the values in database A are 0 from 100 and have a mean of 50 and Database B has entries from 49 to 51 and also has a mean of 50.
We are required to find the database whose standard deviation is lower.
Standard deviation measures the variation of values. It is calculated after finding the mean. The square of a standard deviation is known as a variance.
Database A has values from 0 to 100 and has a mean of 50. Because the values are somewhat very larger than 50 and database B has values from 49 to 51, there are more chances that the standard deviation of database B will have a smaller value than the standard deviation of database A.
Hence if we compare the given values then we can find that database B is more likely to have a smaller standard deviation.
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gretchen buys a sweater at a clearance sale for $35.74. The original price of the sweater was $59.99. Find the percent discount.
Answers
Answer:
59.5765%
Step-by-step explanation:
$35.74/$59.99
1. The height of a right triangular prism is 1 5/6 inches. Each side of the triangular base measures 10 inches, and the height of the base is 8 2/3 inches. The triangular prism is placed atop a cube whose side measures 10 inches so that one of the triangular prism’s bases lies completely on one side of the cube.
What is the surface area of the solid formed?
100 POINTS!!! IF YOU DRAW AN ACCURATE DIAGRAM TOO, YOU WILL BE AUTOMTIC BRAINLIEST!!!!!!
Answers
If the height of a right triangular prism is 1⁵/₆ inches. The surface area of the solid formed is 598.33 in².
What is surface area?The surface area of a solid object is a measure of the total area that the surface of the object occupies.
A three-dimensional solid form with six faces, including rectangular bases, is called a rectangular prism. A rectangular prism also refers to a cuboid. A cuboid and a rectangular prism have the same cross-section.
First step:-
Right triangular prism=1⁵/₆ inches= 11/6 inches
Height of the base=8²/₃ inches = 26/3 inches
Second step:-
Surface area = 5(10× 10) + (0.5÷ 10 × 26/3) + 3(10× 11/6)
Surface area = 5(100) +43.33+ 3(18.33)
Surface area = 500) +43.33 + 55
Surface area = 598.33 in²
Therefore the surface area of the solid formed is about 598.33 in²
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What is the ratio of 4 red pens to 7 black pens
Answers
Answer:
There could be 12 red pens and 21 black pens
Step-by-step explanation: