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Masja [62]
2 years ago
9

Geometry hw help please.

Mathematics
1 answer:
OverLord2011 [107]2 years ago
5 0

Answer:

6

Step-by-step explanation:

You can solve this using Pythagorean Theorem;

a² + b² = c²

c is always the hypotenuse or the longest length in the triangle which is always opposite to the forming 90° angle.

a and b values can be the other 2 legs, doesn’t matter which one is which

we are given;

a = 8

c = 10

a² + b² = c²

(8)² + b² = (10)²

64 + b² = 100

b² = 100 - 64

b² = 36

√b² = √36

b = 6

Therefore the answer = 6

Hope this helps!

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uppose that an automobile manufacturer advertises that its new hybrid car has a mean gas mileage of 50 miles per gallon. You tak
Harlamova29_29 [7]

Answer:

t=\frac{47-50}{\frac{5.5}{\sqrt{30}}}=-2.988    

p_v =2*P(t_{(29)}  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can conclude that the true mean is significantly different from 50 mpg at 5% of signficance.  

Step-by-step explanation:

Data given and notation  

\bar X=47 represent the sample  mean  

s=5.5 represent the sample standard deviation

n=30 sample size  

\mu_o =50 represent the value that we want to test

\alpha=0.01 represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true mean is 50 or no, the system of hypothesis would be:  

Null hypothesis:\mu = 50  

Alternative hypothesis:\mu \neq 50  

If we analyze the size for the sample is = 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

t=\frac{47-50}{\frac{5.5}{\sqrt{30}}}=-2.988    

P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=30-1=29  

Since is a two tailed test the p value would be:  

p_v =2*P(t_{(29)}  

Conclusion  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can conclude that the true mean is significantly different from 50 mpg at 5% of signficance.  

4 0
2 years ago
Hans bought 3 CDs that were each the same price. Including sales tax, he paid a total of $53.40. Of that total, $3.60 was tax. W
Jet001 [13]

Answer:

$16.6

Step-by-step explanation:

x is the price of each CD before tax

so 3x + 3.60 = 53.40

3x = 53.40 - 3.60 = 49.80

x = 49.80/3 = 16.6

3 0
2 years ago
What is the period of the function f(x)=sin(x/2)
Liula [17]
The period of the function is 2pi
3 0
3 years ago
Landon used a semicirce, a rectangle, and a right triangle to form the figure shown.
ankoles [38]
Area of rectangle= base x height
6x4=24

Area of triangle= 0.5 base x height
We have the height but we don’t have the base, to calculate the base we subtract 10-6 which equals to 4
0.5 x 4 x4 =8

Area of a semicircle= o.5 x pi x r^2
We have the diameter and to find the radius we divide it by 2
4/2 = 2
0.5 x pi(or 3.14) x 2^2
=6.28
Total area = 24 + 8+ 6.28 =38.28cm^2


8 0
3 years ago
Read 2 more answers
determine if l || m based on the information given on the diagram. If yes, state the converse that proves the lines are parallel
kirza4 [7]

Answer/Step-by-step explanation:

1. YES.

Converse: If same side interior angles are supplementary, then l || m. (Same side interior angles)

Since the sum of the two same side interior angles, 65° and 115°, equals 180°, therefore, l || m.

2. YES.

Converse: if two angles angles are a linear pair, they are supplementary, therefore l || m. (Linear pair)

Thus,

128° + 53° = 180°.

3. YES.

Converse: if two angles are corresponding angles and congruent, therefore l || m. (Corresponding angles).

Thus,

The indicated angles which are equal to 90°, are corresponding angles therefore, l || m.

4. YES

Converse: if two alternate exterior angles are congruent, then l || m. (Alternate exterior angles)

Thus, the two exterior angles are congruent, therefore l || m.

4 0
3 years ago
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