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3 years ago

8

In a right triangle the length of a hypotinuse is c and the length of the other leg is a. Find the length of the other leg b, if

: c=5, a=3

1 answer:

Tomtit [17]3 years ago

3 0

Answer:

b = 4

Step-by-step explanation:

a^2 + b^2 = c^2

a = 3

b = b

c = 5

a^2 + b^2 = c^2

(3)^2 + b^2 = (5)^2

9 + b^2 = 25

b^2 = 25 - 9

b^2 = 16

√b^2 = √16

b = 4

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Use the given endpoint Rand midpoint M of RSto find the coordinates of the other endpoint.

Dima020 [189]

Answer:

Step-by-step explanation:

(x+5)/2 = 6

x + 5 = 12

x = 7

(y + 2)/2= 4

y + 2 = 8

y = 6

(7, 6)

7 0

3 years ago

Consider the following sets of sample data: A: $30,500, $27,500, $31,200, $24,000, $27,100, $28,600, $39,100, $36,900, $35,000,

Alecsey [184]

Answer:

$CV=0.2$ ---- dataset 1

$CV = 7.2$ --- dataset 2

Step-by-step explanation:

Given

$A: 30500, 27500, 31200, 24000, 27100,28600, 39100, 36900, 35000, 21400, 37900, 27900, 18700,$ $33100$

$B: 4.29, 4.88, 4.34, 4.17, 4.52, 4.80, 3.28, 3.79, 4.84, 4.77, 3.11$

Required

The coefficient of variation of each

<u>Dataset A</u>

Calculate the mean

$\mu = \frac{\sum x}{n}$

$\mu = \frac{30500+ 27500+31200+24000+ 27100+28600+ 39100+ 36900+ 35000+ 21400+ 37900+ 27900+ 18700+33100}{14}$ $\mu = \frac{418900}{14}$

$\mu = 29921.43$

Next, calculate the standard deviation using:

$\sigma = \sqrt{\frac{\sum(x - \mu)^2}{n}}$

So, we have:

$\sigma= \sqrt{\frac{(30500 - 29921.43)^2 +.................+ (18700- 29921.43)^2 + (33100- 29921.43)^2}{13}}$

$\sigma= \sqrt{\frac{487723571.42857}{14}}$

$\sigma= \sqrt{34837397.959184}$

$\sigma= 5902.32$

So, the coefficient of variation is:

$CV=\frac{\sigma}{\mu}$

$CV=\frac{5902.32}{29921.43}$

$CV=0.2$ --- approximated

<u>Dataset B</u>

Calculate the mean

$\mu = \frac{\sum x}{n}$

$\mu = \frac{4.29+ 4.88+ 4.34+ 4.17+ 4.52+ 4.80+ 3.28+ 3.79+ 4.84+ 4.77+ 3.11}{11}$

$\mu = \frac{46.79}{11}$

$\mu = 4.25$

Next, calculate the standard deviation using:

$\sigma = \sqrt{\frac{\sum(x - \mu)^2}{n}}$

$\sigma = \sqrt{\frac{(4.29 - 4.25)^2 + (4.88- 4.25)^2 +.........+ (3.11- 4.25)^2}{11}}$

$\sigma = \sqrt{\frac{3.859}{11}}$

$\sigma = \sqrt{0.35081818181}$

$\sigma = 0.593$

So, the coefficient of variation is:

$CV=\frac{\sigma}{\mu}$

$CV = \frac{4.25}{0.5903}$

$CV = 7.2$ -- approximated

3 0

3 years ago

Henry wrote 4z² - z² as 4. Are 4z² - z² and 4 equivalent expressions?

Lelechka [254]

No, a lone variable has an invisible one in front of it, So 4z (can’t put the top number sorry) So 4z - z would equal 3z

7 0

3 years ago

A cylinder has a base diameter of 16cm and a height of 19cm. What is its volume in cubic cm, to the nearest tenths place?

elena-14-01-66 [18.8K]

Answer:

V = 3216.9 $cm^{3}$

Step-by-step explanation:

Volume of a cylinder = π $r^{2}$ h

We are given diameter, 16cm, and half of it is the radius

r = 8cm

h = 19cm

Substitute the values into the equation

V = π * $8^{2}$ * 19

V = 3216.9 $cm^{3}$

4 0

4 years ago

Read 2 more answers

Lines m and n are parallel. what is the measure of angle 3?

kap26 [50]

The answer is c. 48 because angle 3 and 132 equals 180 because they are supplementary angles. So... 180 - 132 = 48 <—- angle 3

4 0

4 years ago