Answers
Answer: Angles 2 and 4 = 38, Angle 1 = 142
Step-by-step explanation:
Given that angle 3 is equal to 142, the angle between 2 and 3 has to add up to 180. 142 + 38 = 180. The same applies for angle 4 and 3. So, angle 1 + angle 2 has to add up to 180. We already know angle 2, so now we just have to subtract that from 180 to find angle 1.
Related Questions
There is a safety fence around a circular pool with a gate. The gate is 150 cm wide.
an image
What is the length of the fence not including the gate?
m
Use π
= 3.14
Answers
Length of fence = Circumference of the pool – width of the gate. Length of fence = 6.28x – 150 cm.
What is the length of the fence?Let the circular pool has the radius (r ) = x cm.Since the pool is in a circular shape so the circumference will be the length of the fence. Moreover, there is a 150cm wide so we have to subtract the 150 cm from the value of circumference in order to get the actual length of the fence.Length of fence = Circumference of the pool – width of the gate.Length of fence = 2 π r – 150Length of fence = 2 × 3.14 × x – 150Length of fence = 6.28x – 150 cm.a radius of a circle or sphere is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length. The name comes from the latin radius.To learn more about length of the fence refers to:
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40% of an hour?
(I've tried 24 minutes...it's not the answer)
Answers
Given there are 60 minutes in an hour, we can multiply this by 0.4 to find that 24 minutes constitutes 40% of an hour. I assume the system is not working properly for you, but 40% of an hour is 24 minutes.
40% of an hour is 24 minutes = 2/5 hours.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
Given that,
there are 60 minutes in an hour,
we can multiply this by 0.4 to find that 24 minutes constitutes 40% of an hour.
i.e. 60*40%= 24 minutes
Hence, 40% of an hour is 24 minutes = 2/5 hours.
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Jim rented a truck for one day. There was a base fee of 16.99, and there was an additional charge of 88 cents for each mile. Jim had to pay 149.87 when he returned the truck. For how many miles did he drive the truck?
Answers
Answer:
Step-by-step explanation: Total Cost: TC = $126.07
Base fee: B = $16.95
Rate per mile: r = $0.88/mile
Distance (miles) : d -->this is what we need to find
The general formula is:
TC = B + r*d
In this problem:
$126.07 = $16.95 + ($0.88/mile)*d
126.07 - 16.95 = 0.88d (I dropped the units starting here)
d = (126.07 - 16.95)/0.88 = 124 miles (notice the parentheses. subtraction has a lower precedence than division. If you omitted them when using a graphing calculator you would get an incorrect answer)
So the answer is 124 miles.
100 points Pls help me with the red ones
Answers
For 36 people with peanuts = 9 cups
For 4 people with peanuts = 1 cup
For 6 people with peanuts = 1.5 cups
For 4 people with M & MS = 8/12 cups or 0.67 cups
For 6 people with M & MS = 1 cup
For 36 people with raisins = 1.5 cups
For 4 people with raisins = 2/12 cups or 0.17 cups
For 6 people with raisins = 0.25 cups
For 36 people with candy corn = 3.9 cups
For 4 people with candy corn = 0.43 cups
For 6 people with candy corn = 0.65 cups
Step-by-step explanation:
1. Set up a proportion to find how many cups it takes to feed 36 people peanuts given that it takes 3 cups to feed 12 people. This means that the proportion would be 3/12 = x/36. Cross multiply. This would give you 12x = 108. Divide 12 on both sides. Now, the equation is solved since you found out x = 9 cups.
2. Set up a proportion to find how many cups it takes to feed 4 people peanuts given that it takes 3 cups to feed 12 people. This means that the proportion would be 3/12 = x/4. Cross multiply. This would give you 12x = 12. Divide 12 on both sides. Now, the equation is solved since you found out x = 1 cup.
3. Set up a proportion to find how many cups it takes to feed 6 people peanuts given that it takes 3 cups to feed 12 people. This means that the proportion would be 3/12 = x/6. Cross multiply. This would give you 12x = 18. Divide 12 on both sides. Now, the equation is solved since you found out x = 1.5 cups.
4. Set up a proportion to find how many cups it takes to feed 4 people M & Ms given that it takes 2 cups to feed 12 people. This means that the proportion would be 2/12 = x/4. Cross multiply. This would give you 12x = 8. Divide 12 on both sides. Now, the equation is solved since you found out x = 0.67 cups.
5. Set up a proportion to find how many cups it takes to feed 6 people M & Ms given that it takes 2 cups to feed 12 people. This means that the proportion would be 2/12 = x/6. Cross multiply. This would give you 12x = 12. Divide 12 on both sides. Now, the equation is solved since you found out x = 1 cup.
5. Set up a proportion to find how many cups it takes to feed 36 people raisings given that it takes 0.5 cups to feed 12 people. This means that the proportion would be 0.5/12 = x/36. Cross multiply. This would give you 12x = 46.8. Divide 12 on both sides. Now, the equation is solved since you found out x = 3.9 cups.
6. Set up a proportion to find how many cups it takes to feed 4 people raisins given that it takes 0.5 cups to feed 12 people. This means that the proportion would be 0.5/12 = x/4. Cross multiply. This would give you 12x = 2. Divide 12 on both sides. Now, the equation is solved since you found out x = 0.17 cups.
7. Set up a proportion to find how many cups it takes to feed 6 people raisins given that it takes 0.5 cups to feed 12 people. This means that the proportion would be 0.5/12 = x/6. Cross multiply. This would give you 12x = 3. Divide 12 on both sides. Now, the equation is solved since you found out x = 0.25 cups.
8. Set up a proportion to find how many cups it takes to feed 36 people candy corn given that it takes 1 1/3 cups to feed 12 people. Simplify 1 1/3 to 1.3. This means that the proportion would be 1.3/12 = x/36. Cross multiply. This would give you 12x = 46.8. Divide 12 on both sides. Now, the equation is solved since you found out x = 3.9 cups.
9. Set up a proportion to find how many cups it takes to feed 4 people candy corn given that it takes 1 1/3 cups to feed 12 people. Simplify 1 1/3 to 1.3. This means that the proportion would be 1.3/12 = x/4. Cross multiply. This would give you 12x = 5.2. Divide 12 on both sides. Now, the equation is solved since you found out x = 0.43 cups.
10. Set up a proportion to find how many cups it takes to feed 6 people candy corn given that it takes 1 1/3 cups to feed 12 people. Simplify 1 1/3 to 1.3. This means that the proportion would be 1.3/12 = x/6. Cross multiply. This would give you 12x = 7.8. Divide 12 on both sides. Now, the equation is solved since you found out x = 0.65 cups.
PLEASE HELP WITH EASY FRACTIONS APPRECIATED MUCH!!!
Answers
Answer: 3/4 is right
Step-by-step explanation:
In this case, how would it be resolved if it does not indicate any base, only brand X
Answers
The coordinates of the vertices of the square with height x is given as follows:
H(-x,x).I(0,x).J(0,0).K(-x,0).What is a square?A square is a figure for which all the four side lengths are congruent, that is, they have the same measure.
The side length of the square in this problem is given as follows:
x.
As the height is equals to the base.
The vertex J represents the origin, hence it has coordinates given as follows:
J(0,0).
Then the remaining coordinates of the square are given as follows:
H(-x,x). -> x units left and x units up from the origin.I(0,x). -> x units up from the origin.K(-x,0). -> x units left from the origin.More can be learned about squares at https://brainly.com/question/30179630
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Match each equation with the type of conic section it
represents.
Answers
Therefore , the solution to the given problem of equation comes out to be 1. circle, 2. parabola, 3. ellipse and 4. hyperbola.
Define equation.
Expressions that equal one another are the building blocks of an equation. The equation 4x²+3x = 22. A equation is an equation that has at least two variables and depicts the relationship between them.
Here,
are the definitions of each equation:
1. x^2 + y^2 - 4x + 6y - 5 = 0
The x2 and y2 terms share the same scaling factor, despite the fact that this equation contains a bunch of other garbage (which is 1). This ought to be screaming "circle" to you.
2. x^2 - 6y = 0
The x term is squared, but the y term is not, which is an important distinction to make. A parabola is clearly indicated by this fact.
3. 4x^2 + 9y^2 = 1
This is the result of adding an x-squared and a y-squared phrase. That kind of sounds circular, but the results are scaled by those two coefficients. Additionally, they vary. So, a closed curve that resembles a circle but is slightly stretched out is what we're searching for. An ellipsis appears there.
4. 7x^2 - 9y^2 = 343
A few squared terms for x and y are present here. However, we are removing rather than adding to them. This denotes a hyperbola.
Therefore , the solution to the given problem of equation comes out to be 1. circle, 2. parabola, 3. ellipse and 4. hyperbola.
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6 divided 109 can you help?
Answers
Answer: 18.1666666667
Step-by-step explanation:
x^2-2/3x+9 factored
Answers
Answer:
x^2 - 2 /3 (x+3)
Step-by-step explanation:
Select the graph that correctly displays the solution of the system of inequalities. y > 2x – 4 y ≤ –x – 7
Answers
The solution to the system of given inequalities is (-7, 0).
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
The given system of inequalities are y> 2x-4 and y≤ -x-7.
The solution of the system of inequalities is the intersection region of all the solutions in the system.
x<y/2 +2 and x≤-y-7
The solution of the system of inequalities is (-7, 0)
Therefore, the solution to the system of given inequalities is (-7, 0).
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the ratio of students to adults at the open house is 9:7 suppose there are 832 students and adults at the open house. how many students are there
Answers
Answer:
To determine the number of students at the open house, you can use the fact that the ratio of students to adults is 9:7 and set up the following proportion:
students/adults = 9/7
You can then cross-multiply to find the value of "students":
7 * students = 9 * adults
7 * students = 9 * (832/(9+7))
7 * students = 832
students = 832 / 7
students = approximately 118.85714285714 students
To determine the number of students at the open house, you can use the fact that the ratio of students to adults is 9:7 and set up the following proportion:
Copy code
students/adults = 9/7
You can then cross-multiply to find the value of "students":
Copy code
7 * students = 9 * adults
7 * students = 9 * (832/(9+7))
7 * students = 832
students = 832 / 7
students = approximately 118.85714285714 students
Since the number of students must be an integer, the number of students at the open house is approximately 118 students.
Step-by-step explanation:
If a pair of shoes was discounted from an original price of P5000 to P2800 what is the percent decrease or discount
Answers
Work Shown:
a = old price = 5000
b = new price = 2800
c = change in price
c = b-a
c = 2800-5000
c = -2200
The value of c is negative to indicate a price decrease.
d = percent change
d = (c/a)*100%
d = (-2200/5000)*100%
d = -44%
There is a 44% decrease or discount.
approximate v46 to the nearest hundredth
Answers
Answer:
6.78
Step-by-step explanation:
Solve 0.5(-2+ 4d) - 2d=-13 for d.
O Infinite solutions
O No solution
O d=-11
O d = 1.375
Answers
Answer:
(b) No solution
Step-by-step explanation:
You want the solution to 0.5(-2+ 4d) - 2d = -13.
SimplifiedEliminating the parentheses using the distributive property, we have ...
-1 +2d -2d = -13
Collecting terms gives ...
-1 = -13 . . . . . false
No value of d will make this true. There is No Solution.
hat is the following sum?
0 7(10√/x²y)
O
O
0 7(²√x²¹x²)
Answers
The sum of the given equation is 7[tex]\sqrt[5]{x^{2} y}[/tex].
What is fractional equation?A fractional equation is one in which one or more of its terms have the unknown as their denominator. Equations involving fractions can be resolved using the Cross-Product property.Therefore, when we reduce or simplify a fraction, we aim for maximum simplicity. In order to do this, we divide both the numerator and the denominator by the biggest integer that can be divided precisely into both numbers. In other words, we choose the greatest number that the top and bottom have in common and divide them by that.Equations using fractions require the solution of equations in which the unknown variable is a component of the fraction's numerator or denominator. To solve fractional equations, we must determine the value of the undetermined variable.Given data :
4 ([tex]\sqrt[5]{x^{2} y}[/tex].) + 3 ([tex]\sqrt[5]{x^{2} y}[/tex].)
Add similar elements
= 7[tex]\sqrt[5]{x^{2} y}[/tex].
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What information will be useful to know to answer the main question? How can you get it? How will you use that information
Answers
Answer:
Step-by-step explanation:
Can u give more detail as to what the question is asking pease
Find the slope (-7,4) and (-7,-8)
Answers
Answer: The slope for this line is not defined.
Step-by-step explanation: We can find the slope of a line using the formula m = y2 -y1/x2 - x1
here, (x1,y1) = (-7,4)
and, (x2,y2) = (-7,-8)
now, m= -8-4/-7+7
m = -12/0
So, the slope for this line is not defined as we are getting zero in the denominator.
Write the word sentence as an equation.
11 3/4 is the quotient of a number y and 6 1/4
An equation that represents this sentence is ?
Answers
The equation that represents the sentence is y ÷ 6₄¹ = 11₄³
What is quotient?
The word quotient is the outcome when dividend is divided by a divisor.
The result that comes from a division process is termed as quotient. While writing an equation quotient is placed on the right-hand side of the equal sign.
The number that is divided by other number is called dividend and this other number is called divisor.
Write the word sentence as an equation given in question?11³₄ is the quotient of a number y and 6¹₄.
47/4 is the quotient of a number y and 25/4
hence, y is the dividend and 25/4 is the divisor
y ÷ 25/4 = 47/4
y × 4/25 = 47/4
y = 1175/16
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Abby is making tie dyed T-shirts for her class field trip each shirt costs 3.95. the dye costed 0.50 then she bought two boxes of salt to mix for 4.50 each. If she had 124.70 how many shirts can she make?
Answers
Answer:
3.95 + 0.50 + 4.50 × 2 = 13.45
13.45 × x = 124.70
x = 9
Therefore, she can make 9 shirts.
Find the midpoint and distance between (-3,10) and (15,-2)
Answers
Logic, Reasoning and Puzzles Assignment
Solving a Payment Puzzle
A wealthy and generous owner of an Internet company offers two
options of payment to her new vice president.
Option 1: a monthly salary
of $50000 per month paid
at the beginning of each
month
Name: Yaseen
Option 2: a monthly salary
based on 1¢ the first day,
2¢ the second day, 4c the
third day, 8¢ the fourth day,
and so on. The monthly salary
will be the amount calculated
for the last day of the month.
Assume there are 30 days in the month.
A. How can you calculate the vice president's earnings under
Option 2?
B. Compare the monthly earnings for the two options.
1.9
C. Which payment option would you take if you were the vice
president? Why?
Answers
Answer:
very long question
Step-by-step explanation:
X 1 3 5 7
у -9 -17 -25 -33
find the equation of the linear function represented by the table in slope intercept form
Answers
The equation of the linear function represented by the table in slope intercept form is y = -4x - 5.
What is slope-intercept form?
The line with m as the slope, m and c as the y-intercept is the graph of the linear equation y = mx + c. The values of m and c are real integers in the slope-intercept form of the linear equation.
Given two points (x,y), the slope is the change in y divided by the change in x.
The points are (1,-9) and (3,-17) -
m = (y2-y1)/(x2-x1)
m = [-17-(-9)]/(3-1)
m = -8/2
m = -4
Then the slope equation will be -
y = -4x + b
Taking points (1,-9) and substituting in the equation to get the value of b -
-9 = -4(1) + b
-9 = -4 + b
-9 + 4 = b
b = -5
Therefore, the slope intercept form of equation is y = -4x - 5.
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find an equation for the line that passes through the points (-6,-3) and (4,5).
Answers
The equation of the line that passes through the points (- 6, - 3) and (4, 5) is y = (4 / 5) · x.
How to determine the equation of the line from two points
In this question we have the knowledge of two points, of which we must derive the equation of a line, whose definition is shown below:
y = m · x + b
Where:
x - Independent variable.y - Dependent variable.m - Slopeb - y-InterceptThe slope of the line can be determined by secant line formula:
m = Δy / Δx
Where:
Δx - Change in independent variable.Δy - Change in dependent variable.First, determine the slope of the line:
m = [5 - (- 3)] / [4 - (- 6)]
m = 8 / 10
m = 4 / 5
Second, determine the intercept of the line:
b = y - m · x
b = 5 - (4 / 5) · 4
b = 5 - 5
b = 0
Third, write the equation of the line:
y = (4 / 5) · x
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ABC~A'B'C'. Their scale factor is 7:9. If the perimeter of smaller ABC is 42, then the
perimeter of A'B'C' is.
Pls hurry!!
Answers
Answer:
54
Step-by-step explanation:
ratio is 7:9
7=42
9=?
9×42÷7
Which graph represents the solutions to this equation?
X²+8x=-20
Answers
Answer:
The one with the vertex of (-4,4)
Step-by-step explanation:
Y=(x-3)^2+3
vertex form to standard form
Answers
Answer:
y = x² -6x +12
Step-by-step explanation:
You want the quadratic equation Y=(x-3)^2+3 written in standard form.
Standard formDepending on where you go to school, the given equation may already be in standard form.
Other places, standard form means the equation is simplified and terms are written in order of decreasing degree.
y = (x -3)² +3 = (x² -6x +9) +3
y = x² -6x +12
Target buys a pair of shoes for 20, but they sell it to the public for 35. what is the percent of change that target marks the shoes up for
Answers
Answer:
75%
Step-by-step explanation:
To find the percent of change that Target marks the shoes up for, you need to calculate the difference between the cost of the shoes to Target and the price at which they sell it to the public, and then divide that difference by the cost of the shoes to Target. Finally, you need to multiply the result by 100 to express the answer as a percentage.
Using this formula, the percent of change that Target marks the shoes up for is:
(35 - 20) / 20 * 100 = 15 / 20 * 100 = 0.75 * 100 = 75%
This means that Target marks the shoes up by 75% of their cost.
Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°
Answers
Answer:
m∠5+m∠6=180°
m∠2+m∠3=m∠6
m∠2+m∠3+m∠5=180°
Step-by-step explanation:
Verify each option
case A) we have
m∠5+m∠3=m∠4 ----> equation A
we know that
m∠3+m∠4=180° -----> by supplementary angles
m∠4=180°-m∠3 ----> equation B
substitute equation B in equation A
m∠5+m∠3=180°-m∠3
m∠5+m∠3+m∠3=180°
This equation is true when m∠2=m∠3
Therefore Is not always true
case B) we have
m∠3+m∠4+m∠5=180° ----> equation A
we know that
m∠3+m∠4=180° -----> by supplementary angles
m∠4=180°-m∠3 ----> equation B
substitute equation B in equation A
m∠3+(180°-m∠3)+m∠5=180°
m∠5=0°
This option is not true
case C) we have
m∠5+m∠6=180°
we know that
m∠5 and +m∠6 are supplementary angles
so
Their sum is always 180 degrees
Therefore this option is always true
case D) we have
m∠2+m∠3=m∠6 -----> equation A
we know that
m∠5+m∠6=180° ----> by supplementary angles
m∠6=180°-m∠5 ----> equation B
substitute equation B in equation A
m∠2+m∠3=180°-m∠5
m∠2+m∠3+m∠5=180°
Remember that the sum of the interior angles of a triangle must be equal 180 degrees
Therefore this option is always true
case E) we have
m∠2+m∠3+m∠5=180°
Remember that the sum of the interior angles of a triangle must be equal 180 degrees
This option is always true
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A person is using a new teenis ball launching machine that is 15 inches by 14. Assuming the machine uses tennis balls that are spherical and 2.7 inches in diameter, how many tennis balls should fit in one of the top of the machine?
Answers
The number of tennis ball fit in the machine are 305 balls.
What is volume?Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.
Finding an object's volume can help us calculate the quantity needed to fill it, such as the volume of water needed to fill a bottle, aquarium, or water tank.
given dimensions of machine 15 x 15 x 14
volume of machine is 15 x 15 x 14 = 3150 cubic inches
and shape of ball is spherical,
with dia = 2.7 inches
radius of ball = 2.7/2 = 1.35 inches
volume of sphere is 4/3πr³
V = 4/3πr³
V = 4/3(3.14)(1.35)³
V = 4/3(3.14)(2.46)
V = 10.30 cubic inches
the area covered by 1 ball is 10.30 cubic inches
the number of ball in machine is 3150/10.30
the number of ball in machine = 305.82 = 305 approx
Hence 305 balls can be fit in machine.
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A tank is 80c ,nu 60cm by 75cm, find the volume of water that will fill up
Answers
A tank that is 80 cm tall and has a base that is 60 cm by 75 cm.
To find the volume of the tank, you can use the formula for the volume of a rectangular prism, which is:
Volume = length * width * height
Using the dimensions given, we can plug them into the formula as follows:
Volume = 60 cm * 75 cm * 80 cm = 4,500 cm^3
This means that the tank has a volume of 4,500 cubic centimeters, and it would take 4,500 cubic centimeters of water to fill it up
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Answer:
Step-by-step explanation:
To find the volume of water that will fill up a tank that is 80 cm tall, 60 cm wide, and 75 cm deep, you can use the formula for the volume of a rectangular prism. The formula for the volume of a rectangular prism is length x width x height, so in this case, the formula would be:
60 cm x 75 cm x 80 cm = 36,000 cm^3
So the volume of water that will fill up the tank is 36,000 cubic centimeters.
Alternatively this also can be written as 806075 cubic cms
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