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3 years ago

Find the length of the missing side. Leave your answer in simplest radical form.

Mathematics

2 answers:

malfutka [58]3 years ago

5 0

Solve for hypotenuse

Hypotenuse = $\sqrt{a^{2}+b^{2}}$

Substitute 3 for A and 4 for B
$\sqrt{3^{2}+4^{2}}$

Solve exponents
3^2 = 9
4^2 = 16
$\sqrt{9+16}$

Add
9 + 16 = 25
$\sqrt{25}$

Solve square root
$\sqrt{25}$ = 5
5 is your answer

Lemur [1.5K]3 years ago

4 0

Answer:

Q1 5

Q2 6

Q3 C(no;13^2+21^2=24^2)

Q4 obtuse

Q5 C (8 2 squared)

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Factor completely, then place the factors in the proper location on the grid.

mash [69]

Answer:

2(8x+3y)*squared*

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3 years ago

Which contract costs more per month? An 18 month cable contract for $2070 or a 12 month contract at $1776? Which is the better d

Dafna1 [17]

Answer:

Contract A is cheaper because $115 per month is less than $148 per month

Step-by-step explanation:

To find the unit price we divide the total cost given by the total months given for each contract to find out the cost per month.

$2070/18 months = $115 per month

$1776/12 months = $148 per month

Contract A is cheaper because $115 per month is less than $148 per month

7 0

3 years ago

2. Jessica is a waitress. Her customer’s bills totaled $300. She earned $45 in tips. What percent did her customers tip her? ___

zepelin [54]

Answer:

15%

Step-by-step explanation:

$45/$300 = 0.15 = 15%

4 0

3 years ago

Read 2 more answers

A theory predicts that the mean age of stars within a particular type of star cluster is 3.3 billion years, with a standard devi

Luden [163]

Answer:

Null hypothesis: $\mu \leq 3.3$

Alternative hypothesis: $\mu > 3.3$

$z=\frac{3.4-3.3}{\frac{0.4}{\sqrt{50}}}=1.768$

Since is a one right tailed test the p value would be:

$p_v =P(z>1.768)=0.039$

Step-by-step explanation:

Data given and notation

$\bar X=3.4$ represent the sample mean

$\sigma=0.4$ represent the population deviation for the sample

$n=50$ sample size

$\mu_o =3.3$ represent the value that we want to test

$\alpha$ 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 to be tested

We need to conduct a hypothesis in order to determine if the mean is higher than 3.3, the system of hypothesis would be:

Null hypothesis: $\mu \leq 3.3$

Alternative hypothesis: $\mu > 3.3$

Compute the test statistic

We know the population deviation, so for this case is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-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".

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

$z=\frac{3.4-3.3}{\frac{0.4}{\sqrt{50}}}=1.768$

P value

Since is a one right tailed test the p value would be:

$p_v =P(z>1.768)=0.039$

6 0

3 years ago

If the area of a rectangle in terms of x is x2 + 15x + 26 / 6x2 and its width is x2 - 3x - 10 / 30x3 Find the length of the rect

Veseljchak [2.6K]

Answer:

The length of the rectangle is;

5x(x+13)/(x-5)

Step-by-step explanation:

Mathematically, we know that the area of a rectangle is the product of the length and width of the triangle

To find the length of the rectangle, we will have to divide the area by the width

we have this as;

(x^2 + 15x + 26)/6x^2 divided by (x^2-3x-10)/30x^3

thus, we have ;

(x^2 + 15x + 26)/6x^2 * 30x^3/(x^2-3x-10)

= (x^2+15x+ 26)/(x^2-3x-10) * 5x

But;

(x^2 + 15x + 26) = (x+ 2)(x+ 13)

(x^2-3x-10) = (x+2)(x-5)

Substituting the linear products in place of the trinomials, we have;

(x+2)(x+13)/(x+2)(x-5) * 5x

= 5x(x+13)/(x-5)

4 0

3 years ago