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2 years ago

Please help fast Prefer A Expert or Above to Help Me out it’s the bottom one!

Mathematics

1 answer:

erastova [34]2 years ago

7 0

<h3>Answer: 45</h3>

The value is approximate.

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Explanation:

Focus on the upper triangle.

Label the unknown horizontal side as y

Use the pythagorean theorem to solve for y

a^2+b^2 = c^2

10^2 + y^2 = 26^2

100+y^2 = 676

y^2 = 676-100

y^2 = 576

y = sqrt(576)

y = 24

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Now move to the bottom triangle

With respect to the reference angle, the side y = 24 is opposite this. The hypotenuse is unknown.

Use the sine rule to connect the two and solve for x

sin(angle) = opposite/hypotenuse

sin(32) = y/x

sin(32) = 24/x

x*sin(32) = 24

x = 24/sin(32)

x = 45.2899179551967 which is approximate

x = 45 rounding to the nearest whole number

Side x is approximately 45 cm long.

Note: make sure your calculator is in degree mode.

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The circumference of a circular garden is 147.58 feet What is the diameter of the garden? Use 3.14 for and do not round your ans

Stella [2.4K]

Answer:

The diameter is 47

Step-by-step explanation:

Given

$C = 147.58$ --- Circumference

$\pi = 3.14$

Required

Determine the diameter (d)

The circumference of a circle is:

$C = \pi d$

Make d the subject

$d = \frac{C}{\pi}$

$d = \frac{147.58}{3.14}$

$d = 47$

7 0

3 years ago

The mean of your test scores is 83.75. Three of your scores are 71, 89, 100. What is your fourth test score

Margaret [11]

Answer:

Step-by-step explanation:

(71+89+100+x)/3=83.75

(83.75*4)

335-100-89-71=75

8 0

2 years ago

1)35% of _____is 42.<br> 2)92% of_____ is 115.

dangina [55]

35% of 120 is 42. (42/32 then multiply that by 100)

92% of 125 is 115. (115/92 then multiply that by 100)

5 0

3 years ago

Read 2 more answers

Find the critical value of x2 based on the given information H1 >3.5 n=14 a=0.05

egoroff_w [7]

Answer:

The degrees of freedom are given by:

$df = n-1=14-1=13$

The significance level is $\alpha=0.05$ and then the critical value can be founded in th chi square table we need a quantile that accumulates 0.05 of the area in the right tail of the distribution and for this case is:

$\chi^2_{\alpha}= 22.362$

And if the chi square statistic is higher than the critical value we can reject the null hypothesis in favor of the alternative.

Step-by-step explanation:

We have the followign system of hypothesis:

Null hypothesis: $\sigma^2 \leq 3.5$

Alternative hypothesis: $\sigma^2 >3.5$

The degrees of freedom are given by:

$df = n-1=14-1=13$

$\chi^2_{\alpha}= 22.362$

And if the chi square statistic is higher than the critical value we can reject the null hypothesis in favor of the alternative.

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=4-3%283%29%5E%7B2%7D%20%5C%5C%20%5Csqrt%7B1%2B5" id="TexFormula1" title="4-3(3)^{2} \\ \sqrt{1

yarga [219]

This would be.
-23√6 all over 6.
Or: around -9.39

5 0

2 years ago