Answers
Answer:
4.58258
Step-by-step explanation:
Pythagorean Theorem:
a² + b² = c²
Input:
2² + x² = 5²
Remember, c² is always the side opposite of the right angle...
4 + x² = 25
21 = x²
x = 4.58258
If my answer is incorrect, pls correct me!
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-Chetan K
Answer:
[tex]\sqrt{21}[/tex]
Step-by-step explanation:
let the missing side be x , then
Using Pythagoras' identity in the right triangle.
x² + 2² = 5²
x² + 4 = 25 ( subtract 4 from both sides )
x² = 21 ( take the square root of both sides )
x = [tex]\sqrt{21}[/tex] ≈ 4.6 ( to 1 dec. place )
Related Questions
HELP. Been wasting points because of trolls.
If another troll appears then I dont know npw maybe just end this sh t and I dont have friends too so I cant copy from anyone.
Answers
Answer:
A = 26.6°
Step-by-step explanation:
To obtain the measure of angle A :
We use the trigonometric relation :
Tan A = opposite / Adjacent
Tan A = 6 / 12
Tan A = 1/2
A = tan^-1(1/2)
A = 26.565°
A = 26.6°
You buy items costing $1900 and finance the cost with a fixed installment loan for 24 months at 8% simple interest per year.
1. What is the finance charge?
2. What is your monthly payment?
* Please explain how you got the answer*
Answers
9514 1404 393
Answer:
$304$91.83Step-by-step explanation:
1. The finance charge is found from the simple interest formula;
I = Prt
where P is the principal amount, r is the annual rate, and t is the number of years.
24 months is 2 years, so the interest charged is ...
I = $1900×0.08×2 = $304
The finance charge is $304.
__
2. The monthly payment will be the total amount due, divided by the number of months.
payment = ($1900 +304)/24 = $2204/24 ≈ $91.83
The monthly payment is $91.83.
Suppose one relatively large value is added to a set of all relatively small data values. Which of the following measures would not be affected (i.e. 10 12 16 12 150 13 - which average technique would not be impacted by the outlier)?
A. the mode.
B. the standard deviation.
C. the range.
D. the mean.
Answers
Answer:
A. the mode.
Step-by-step explanation:
Mean
Sum of all values divided by the number of values, so is affected by an outlier present in the data-set.
Standard deviation:
Square root of the sum of the differences squared between each value and the mean, divided by the sample size. As it's related to the mean, it is affected by an outlier.
Range:
Subtraction of the largest value of the data-set by the smallest value, and thus, is also affected by an outlier.
Mode
Value that appears the most often in the data-set, and thus, not affected by an outlier, which means that the correct answer is given by option A.
3. Teacher Carmen is a SPED teacher of children with behavioural problems. One day, she
found one pupil disturbing the rest of the class. Furious of what she saw, she got her
eraser and threw it to her pupil who was hit in the forehead. Do you agree with Teacher
Carmen's action to discipline her pupil?
a. Yes, because she has to correct the mis behaviour immediately.
b. No, because she acted at the height of her anger.
C. Yes, because the pupil's behaviour is disturbing the class and the teaching process.
The Teaching Profession
d. No, because a more appropriate technique can be used to control the behaviour
Answers
Answer:
d.
Step-by-step explanation:
No, because a more appropriate technique can be used to control the behaviour
A business student is interested in estimating the 90% confidence interval for the proportion of students who bring laptops to campus. He wishes a precise estimate and is willing to draw a large sample that will keep the sample proportion within seven percentage points of the population proportion. What is the minimum sample size required by this student, given that no prior estimate of the population proportion is available
Answers
Answer:
n = 106
Step-by-step explanation:
Given
p = 0.5 and 1-p = q = 0.5
Margin of error = 0.08
Confidence level = 90%
Z score for 90% confidence level = 1.65
As we know -
Margin of error = z * Sqrt (pq/n)
Substituting the given value, we get –
0.08 = 1.65 * Sqrt (0.5*0.5/n)
Squaring both the sides and solving, we get
n = 1.65^2*0.5^2/0.08^2
n = 106.34 = 106
Identify the cavity that develops entirely from the mesoderm.
Answers
Explanation:
The coelom is defined as a main body cavity that is developed entirely from the mesoderm.
Solve for x for this triangle (geometry)
Answers
Answer:
[tex]x=60^{\circ}[/tex]
Step-by-step explanation:
The are 180 degrees in a triangle and 180 degrees on a line. Therefore, call the third angle of the triangle [tex]y[/tex].
The following equation solves for [tex]y[/tex]:
[tex]y+119=180,\\y=61^{\circ}[/tex]
Solving for [tex]x[/tex]:
[tex]x+59+61=180,\\x=\boxed{60^{\circ}}[/tex]
Triangle T U V is shown. Side T U has a length of 5 units, side U V has a length of 8 units, and side T V has a length of 11 units.
Which statement is true regarding triangle TUV?
Angle T is the smallest angle.
Angle V is the smallest angle.
Angles U and V must be equal.
Angles U and T must be equal.
.
Answers
9514 1404 393
Answer:
(b) Angle V is the smallest angle
Step-by-step explanation:
The smallest angle is opposite the shortest side. Its vertex name will be the that of the vertex not involved in naming the shortest side.
The shortest side name is TU. The smallest angle is not T or U; it is V.
Angle V is the smallest angle
Answer:
(b) Angle V is the smallest angle
Step-by-step explanation:
What complex number is represented by the expression 7i5 + 9i8?
Answers
9514 1404 393
Answer:
9 +7i
Step-by-step explanation:
i^2 = -1, so i^8 = (-1)^4 = 1, and i^5 = (-1)^2×i = i
Then ...
7i^5 +9i^8 = 7i +9 = 9 +7i
3a. The distance around a circular track.
Circumference
Area
Answers
Answer:
Circumference
Step-by-step explanation:
The Circumference is the the distance around a circular region, it could be imagined as the distance covered by running or walking around the track of a circular athletic stadium. The Area in the other hand is used to describe the entire region enclosed within the circle. For instance the area may be described as the entire pitch region of an athletic stadium, if the circular distance is the Circumference, the enclosed region within the circle is the measure of the Area.
Solve the following equation for x: 2x – 3y = 6.
Ox = y + 3
Ox=y-3
3
2
Ox= -2y-3
2
Ox= -x + 3
Answers
Answer:
the answer is A
x=3/2y+3
Step-by-step explanation:
2x=6+3y
x=3+3/2y
x=3/2y+3 is the solution of the equation 2x-3y=6.
The given equation is 2x-3y=6
We need to solve for variable x in the equation.
Isolate the term with variable x.
Add 3y on both sides of the equation.
2x=6+3y
Now divide both sides by 2
x=3+3/2y
x is the solution of the equation.
x=3/2y+3
To learn more on Equation:
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can someone help me please?! I'll give brainlest for correct answer
Answers
Answer:
MBE, REU, XBy, XEW, BER is an acute angle
WRU, RUm, XBM is an obtuse angle
RU, XE, Mm, ME, MU, WE, XB, MB, My is a straight angle
BM, BE, BX, By is an angle of vertex B.
I don’t know (for e)
BER: REB
I don’t know (for g)
EBy and XBM are two supplementary angles.
Step-by-step explanation:
whats the formula for volume
Answers
Answer:
Volume for cube: L x W x H
L= Length, W= width, H=height
Help ASAP 100 PTS!!!!
Describe how to determine the average rate of change between x = 1 and x = 3 for the function f(x) = 3x3 + 1. Include the average rate of change in your answer. Please show all work and explain it thourougly.
Answers
Answer:
39
Step-by-step explanation:
Find the value of f(x) at both points
f(3) = 3(3)³ + 1 = 82
f(1) = 3(1)³ + 1 = 4
---------------------------
Average Rate of Change is just like slope
Divide the change in f(x) by the change in x
r = (82 - 4) / (3 - 1)
r = 78/2
r = 39
. What is the solution of the system of equations 3x + 2y = 4 and -2x + 2y = 24? *
Answers
Answer:
x= -4
y= -8
This will be the solution
What are the coordinates of point (6,-2) after D o, 1/2
Answers
Explanation: Cut each coordinate in half.
In other words, multiply each coordinate by 1/2 = 0.5
6*0.5 = 3
-2*0.5 = -1
The point (6,-2) moves to (3, -1) after the dilation. This trick only works because the origin is the center of dilation.
how many liters are there in 11.23 kiloliters?
A. 11.23
B. 112.30
C. 1123
D. 11,230
Answers
Answer:
D.11,230
Step-by-step explanation:
11.23 = 1 KILOLITER = 1000 LITERS
11.23*1000
11230
suppose a charity received a donation of $26.2 million. if this represents 49% of the charity's donated funds, what is the total amount of its donated funds? round your answer to the nearest million
Answers
Answer:
53 million.
Step-by-step explanation:
$26.2 / total = 0.49 ($ in millions)
Then total = (26.2) ÷ 0.49 = 53.47 millions which we can round up to 53 million $
True or False It is never sensible to calculate more than 100% of a number.
Answers
Answer:
False
Hope this helps!
I need help solving for x
Answers
Answer:
[tex]x=63.0^o[/tex]
Step-by-step explanation:
Given
[tex]RS = 35[/tex]
[tex]RT = 77[/tex]
The attached triangle
Required
Solve for x
The relationship between x, RS and RT is:
[tex]\cos(x) = \frac{RS}{RT}[/tex]
This gives:
[tex]\cos(x) = \frac{35}{77}[/tex]
[tex]\cos(x) = 0.4545[/tex]
Take arc cos of both sides:
[tex]x = \cos^{-1}(0.4545)[/tex]
[tex]x=63.0^o[/tex] --- approximated
if gh¢400.00 is deposited at a bank at 10% per annum compounded quarterly, how long will it take the deposit to double it value.
Answers
9514 1404 393
Answer:
7 years
Step-by-step explanation:
The multiplier each quarter is 1 +10%/4 = 1.025. The number of quarters, n, that must pass before the value is multiplied by 2 is given by ...
1.025^n = 2
Taking logarithms, we can solve for n:
n×log(1.025) = log(2)
n = log(2)/log(1.025) ≈ 28.071
It will take 28 quarters, or 7 years, for the value to double.
The value of p(x) = 5x− 4x + 3 for x = −1 is ________.
Answers
Answer:
Step-by-step explanation:
p(-1)=5*-1 -4*-1 +3
=-5-(-4) +3
=-5+4 +3
=-5+7
=2
Answer:
2
Step-by-step explanation:
p(-1)= 5(-1)-4(-1)+3
p(-1)= -5+4+3
p(-1)= 2
Becky created a graph to represent her distance away from home one afternoon. She left home and ran to the park, met some friends and stayed at the park, and then walked back home using the same route. Which graph could Becky have created?
Answers
Answer:
probably linear graph 'cause it's in a straight line
Answer:
Step-by-step explanation:
First graph is correct which satisfies the given informations.
The graph is attached below.
Given:
Becky made a graph to show how far she was from her house.
She started jogging from zero distance from the house when she left and sprinted to the park, so the second and fourth graphs are incorrect.
She then spent some time at the park with some friends before returning home on the same path. The first one is accurate since we can see that for a brief while, the graph is parallel to the time axis, but the third one demonstrates that she hasn't taken a break.
Learn more about distance here:
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There are 10 students in a class. The teacher chooses 3 students to go to the
library. The order in which they are chosen does not matter. How many ways
are there to choose the students?
A. 100
B. 90
C. 720
D. 120
Answers
Answer:
D
Step-by-step explanation:
Since the order does not matter, then it is a combination question,
So you just use the combination technique,
10C3 = 10!/(10!(10-3)!) = 120 ways
Answer: 120
Step-by-step explanation:
i just took the quiz
Write three solutions for the inequality 13 - 8X < -11
Answers
Answer:
x > 3
-x < -3
3 < x
-3 > -x
Step-by-step explanation:
-8x < -24
x > 3
-x<-3
(a)
There are 33 liters of orange juice at a school party. 1010 students want to drink all of the orange juice, and they all want to get exactly the same amount. How much orange juice can each get?
___liters
Enter your answer as a fraction or a mixed number.
(b)
Write a number sentence that represents the problem.
___________ = __________
In the first box write an equation like 1+11+11+1 . In the second box, write your answer.
PLS DON'T FOR GET TO DO PART B TOO I AM BEGING YOU!
Answers
Answer:
a) 30.60
b) 1010/33 = 30.60
Step-by-step explanation:
Rewrite the polynomial in the form ax^2 + bx + C and then identify the values of a, b, and c.
I really need help ):
Answers
Answer:
[tex]a = 5\\\\b = -1\\\\c=1[/tex]
Step-by-step explanation:
Given
[tex]-x+5x^2+1[/tex]
Required
Rewrite and identify a, b and c
The required form is:
[tex]ax^2 + bx + c[/tex]
Equate both expressions
[tex]ax^2 + bx + c = -x+5x^2+1[/tex]
Rewrite as:
[tex]ax^2 + bx + c = 5x^2-x+1[/tex]
Compare the expressions on either sides
[tex]a = 5\\\\b = -1\\\\c=1[/tex]
PLEASE HELPP!!
f(x) = 3x2 + 5x – 2
g(x) = 5x3 – 4x2 + 4
Find (f +g)(2)
O A. (f +g)(x) = 5x + 3x2 + x + 2
B. (f +g)(x) = 8x3 + x + 2
O c. (f +g)(x) = 523 – 2? + 5x + 2
O D. (f +g)(x) = -52% + 7x2 + 5x – 6
Answers
Answer:
C. (f+g)(x) = 5x^3 - x^2 + 5x + 2
Step-by-step explanation:
Combine like terms:
5x^3 + 0 = 5x^3
-4x^2 + 3x^2 = -x^2
5x + 0 = 5x
4 - 2 = 2
5x^3 - x^2 + 5x + 2
The sine of 30 degrees is 1/2. What is the cosine of 60 degrees?
Answers
Answer:
Sine (30°) = cosine(90-30) = cos(60°) = 1/2
Step-by-step explanation:
The value of the [tex]cos 60^0[/tex] is [tex]\dfrac{1}{2}[/tex].
Recall the relationship between the sine and cosine[tex]cos^2\theta= 1-sin^2\theta\\cos 2\theta = cos^2\theta - sin^2\theta[/tex]
How to find the cosine values?Given the value of [tex]sin30^0[/tex] is [tex]\dfrac{1}{2}[/tex].
Use the relation between the sine and cosine as-
[tex]\cos^230^0=1-\sin^230^0\\=1-\dfrac{1}{4}\\=\dfrac{3}{4}\\[/tex]
Use another relation [tex]\cos 2\theta = \cos^2\theta -\sin^2\theta[/tex] as-
[tex]\cos(2\times 30^0)=\cos^2{30^0}-\sin^2{30^0}\\=\dfrac{3}{4}-\dfrac{1}{4}\\=\dfrac{1}{2}[/tex]
Hence, [tex]\cos 60^0[/tex] is value is [tex]\dfrac{1}{2}[/tex].
Learn more about trigonometric functions here-
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PLZ HELP ASAP !!!!!!
Answers
Answer:
c there you go hi your welcome