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2 years ago

can anyone help me and show work for this Find the length of the third side. If necessary, write in simplest radical form.

Mathematics

1 answer:

tiny-mole [99]2 years ago

5 0

Answer:

Step-by-step explanation:

Use Pythagorean theorem

Hypotenuse² = base² + altitude²

= 9² + 10²

= 81 + 100

= 181

hypotenuse = √181

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A car travels 470.7 kilometers on 52.3 liters of gas. How much gas will it need to go 345.6 kilometers?

murzikaleks [220]

Answer:

38.4[litres].

Step-by-step explanation:

$1. \ the \ rule \ \frac{470.7[km]}{52.3[l]} =\frac{345.6[km]}{x};$

$2. \ x=\frac{345.6*52.3}{470.7}=38.4[l].$

3 0

2 years ago

A group of physical education majors was discussing the heights of female runners and whether female runners tended to be tall,

Anna11 [10]

Answer:

The 90% confidence interval for the mean µ of the population of female runners.

( 65.0328 , 66.5672)

Step-by-step explanation:

Step(i)

Given A sample of 12 runners showed a sample mean height of 65.80 inches and a sample standard deviation of 1.95 inches.

Given sample size is n = 12 <30 so small sample

Given sample mean (x⁻) = 65.80 inches

sample standard deviation (S) = 1.95 inches.

Step(ii)

Assume the population is approximately normal.

The 90% confidence interval for the mean µ of the population of female runners.

$(x^{-} - t_{\alpha } \frac{S}{\sqrt{n} } ,x^{-} +t_{\alpha } \frac{S}{\sqrt{n} } )$

substitute all above interval

$(65.80 - t_{\alpha } \frac{1.95}{\sqrt{12} } ,65.80 +t_{\alpha } \frac{1.95}{\sqrt{12} } )$

The degrees of freedom γ=n-1 = 12-1=11

From t- table = 1.363 at 90 % 0r 0.10 level of significance

$(65.80 -1.363 \frac{1.95}{\sqrt{12} } ,65.80 +1.363 \frac{1.95}{\sqrt{12} } )$

on calculation , we get

(65.80 -0.7672 ,65.80 + 0.7672)

( 65.0328 , 66.5672)

8 0

3 years ago

Please help!! Simplify the expression. csc^2x-1/ 1 +sinx

Gekata [30.6K]

Answer:

Step-by-step explanation:

3 0

3 years ago

What is sin -1 (1/2) if the terminal side of 0 is located in quadrant 1

Lady_Fox [76]

Answer:

sin^-1 (1/2) = 30°

Step-by-step explanation:

* Lets explain how to find the trigonometry functions from the unit circle

- The unit circle is the circle whose radius is 1 unit

- It intersects the four axes at:

# Positive part of x-axis at (1 , 0) and negative part at (-1 , 0)

# Positive part of y-axis at (0 , 1) and negative part at (0 , -1)

- The terminal of any angle intersect it at point (x , y) where x² + y² = 1

- If The angle between the terminal side and the x-axis is Ф , then

# The adjacent side of Ф = x

# The opposite side of the angle Ф = y

- In the problem the terminal side lies in the first quadrant

∴ all the trigonometry functions are positive

∵ sin Ф = opposite/hypotenuse

∵ The opposite = 1/2 and the hypotenuse is the terminal side = 1

∴ sin Ф = 1/2 ÷ 1 = 1/2

- To find Ф use the inverse function sin^-1 Ф

∵ sin Ф = 1/2

∴ Ф = sin^-1 (1/2)

∴ Ф = 30°

* sin^-1 (1/2) = 30°

6 0

2 years ago

HELP HELP HELP WHATR IS THE ANSWER PLEASE HELP ME ANSWER THIS CORRECTLY FOR 50 BRAINLIEST POINTS AND BRAINLIEST PLEASE

sertanlavr [38]

Answer:

h = 14.0127388535

4 0

2 years ago