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nikitadnepr [17]
2 years ago
13

a right triangle has a base that measures 39 inches and a height that measures 80 inches what is the length of the hypotense

Mathematics
1 answer:
mafiozo [28]2 years ago
4 0
A right triangle has three sides: the two sides that share a vertex are known as the legs, and the other side is known as the hypotenuse.  The legs are known as a and b, while the hypotenuse is c.
The Pythagorean Theorem states the a^2 + b^2 = c^2.  If we plug the numbers into this equation, we will find the length of the hypotenuse.
39^2 + 80^2 = c^2
1521 + 6400 = c^2
7921 = c^2
We have c squared now, but we want to know how much c is equal to.  The square root of c^2 will be our answer.
89 = c
The length of the hypotenuse of a right triangle with legs that measure 39 and 80 inches is 89 inches.


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sveticcg [70]

a) (x+6)^2-25

b) (-6, -25)

Step-by-step explanation:

Perfect square trinomial! If you have 12x, divide by two and get 6, so we have (x+6)^2+q. Then solve for q. You get q as -25.

For b, we just take the vertex from vertex form. We get x+6=0 so x=-6, and q = -25, so the answer is (-6, -25).

Hope that helped,

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3 years ago
Identify the missing factors: <br><br>d) 20 = (4) (?) <br>e) -14x = (7)(?)<br> f) x3 =x2 (?)
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Ur solution is in the attachment.

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3 years ago
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A machine that fills beverage cans is supposed to put 12 ounces of beverage in each can. The standard deviation of the amount in
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Answer:

\chi^2 =\frac{10-1}{0.0144} 0.0217 =13.54

The degrees of freedom are:

df=n-1=10-1=9

Now we can calculate the p value using the alternative hypothesis:

p_v =2*P(\chi^2 >13.54)=0.279

Since the p value is higher than the signficance level assumed of 0.05 we have enough evidence to FAIL to reject the null hypothesis and there is no evidence to conclude that the true deviation differs from 0.12 ounces

Step-by-step explanation:

Assuming the following data:"12.14 12.05 12.27 11.89 12.06

12.14 12.05 12.38 11.92 12.14"

We can calculate the sample deviation with this formula:

s =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

n=10 represent the sample size

\alpha=0.05 represent the confidence level  

s^2 =0.0217 represent the sample variance

\sigma^2_0 =0.12^2= 0.0144 represent the value to verify

Null and alternative hypothesis

We want to determine whether the standard deviation differs from 0.12 ounce, so the system of hypothesis would be:

Null Hypothesis: \sigma^2 = 0.0144

Alternative hypothesis: \sigma^2 \neq 0.0144

The statistic can be calculated like this;

\chi^2 =\frac{n-1}{\sigma^2_0} s^2

\chi^2 =\frac{10-1}{0.0144} 0.0217 =13.54

The degrees of freedom are:

df=n-1=10-1=9

Now we can calculate the p value using the alternative hypothesis:

p_v =2*P(\chi^2 >13.54)=0.279

Since the p value is higher than the signficance level assumed of 0.05 we have enough evidence to FAIL to reject the null hypothesis and there is no evidence to conclude that the true deviation differs from 0.12 ounces

7 0
3 years ago
Evaluate the expression. | -12 | - |8|
LenaWriter [7]

Answer:

it is 12 - 8

Step-by-step explanation:

The absolute value of -12 is 12. The absolue value of 8 is 8.

12 - 8 = 4.

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The formula for a come is V=πr^2h/3.

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