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3 years ago

ASAP someone please use the Pythagorean Theorem to solve for the missing side of these two right triangles.

Mathematics

1 answer:

solong [7]3 years ago

6 0

Answer:

9) x = 5

10) x = 4

Step-by-step explanation:

a^2 + b^2 = c^2

9) 6^2 + x^2 = 8^2

- 36 + x^2 = 64

- 36 - 36

_______________

x^2 = 28

Square root them

Squareroot x^2 is x

Square root 28 is 5.29 round is 5

so x = 5

*Correct me if im wrong*

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

9 + x^2 = 25

- 9 - 9

____________________

x^2= 16

Square root them

square root of x ^2 is x and square root of 16 is 4

so x = 4

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To estimate a population mean, the sample size needed to provide a margin of error of 3 or less with a 95% confidence when the p

Over [174]

Answer:

The minimum sample needed to provide a margin of error of 3 or less is 52.

Step-by-step explanation:

The confidence interval for population mean (μ) is:

$\bar x\pm z_{\alpha /2}\frac{\sigma}{\sqrt{n}}$

The margin of error is:

$MOE= z_{\alpha /2}\frac{\sigma}{\sqrt{n}}$

Given:

MOE = 3

σ = 11

The critical value for 95% confidence interval is: $z_{\alpha /2}=1.96$

**Use the z-table for critical values.

Compute the sample size (n) as follows:

$MOE= z_{\alpha /2}\frac{\sigma}{\sqrt{n}}\\3=1.96\times \frac{11}{\sqrt{n}}\\n=(\frac{1.96\times11}{3} )^{2}\\=51.65\\\approx52$

Thus, the minimum sample needed to provide a margin of error of 3 or less is 52.

7 0

3 years ago

5 tons of rocks cost $8,200.00. What is the price per pound? 2000 ibs =1 ton

natima [27]

Since 2000 lbs = 1 ton then 5 tons = 10,000 lbs. Then tak $8,200 ÷ 10,000 lb= $.82 per pound

8 0

3 years ago

Which graph represents the solution set for the system 6x + y > -3 and 2x + y ≤ 4?

VikaD [51]

This one.

The doubly-shaded area is the solution set. The dashed line is not included.

3 0

3 years ago

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A certain bacterium splits itself into 2 identical cells in 1 day. Each of those new cells is capable of splitting itself into 2

stiks02 [169]

Answer:

2 with the second power??

Step-by-step explanation:

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6 0

3 years ago

Lucy and Emily are racing with each other and Lucy is 90

Zina [86]

Using the system of equation created, Emily will catch up Lucy after 30 seconds

Given the Parameters :

Lucy's distance = 2t
Emily's distance = 5t

We can set up an equation to represent the required scenario thus :

Emily's distance = Lucy's distance + 90

5t = 2t + 90

We solve for t

Collect like terms :

5t - 2t = 90

3t = 90

Divide both sides by 3 to isolate t

t = 90/3

t = 30

Therefore, Emily will catch up with Lucy after 30 seconds

Learn more :brainly.com/question/13218948

8 0

2 years ago