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2 years ago

А support wire 12 yards long is attached to the top of a utility pole 10

Mathematics

1 answer:

stira [4]2 years ago

6 0

Answer:

6.6 yd

Step-by-step explanation:

$a^{2}$ + $b^{2}$ = $c^{2}$

$10^{2}$ + $b^{2}$ = $12^{2}$ Substitute a= 10 and c=12

100+ $b^{2}$ =144 Evaluate the Powers

$b^{2}$ =44 Subtract 100 on both sides.

b= $\sqrt{44}$ Square root both sides b>0 so you dont need ⊥

b=6.6 Use a calculator to evaluate.

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A bag contains 14 green, 12 orange and 19 purple tennis balls.

Nataliya [291]

Answer:

See explanation

Step-by-step explanation:

There are 14 green, 12 orange and 19 purple tennis balls in the bag,

$14+12+19=45$ balls in total.

A. The propbabilities that

a randomly chosen ball from the bag is green $=\dfrac{14}{45};$

a randomly chosen ball from the bag is orange $=\dfrac{12}{45}=\dfrac{4}{15};$

a randomly chosen ball from the bag is purple $=\dfrac{19}{45}.$

A probability model for choosing a tennis ball from the bag is

$\begin{array}{lccc}\text{Ball}&\text{Green}&\text{Orange}&\text{Purple}\\ \\\text{Probability}&\dfrac{14}{45}&\dfrac{4}{15}&\dfrac{19}{45}\end{array}$

B. Suppose a tennis ball is randomly selected and then replaced 75 times. You can expect that orange ball appear

$\dfrac{4}{15}\times 75=4\times 5=20$ times

5 0

3 years ago

Find the missing lengths of the sides.

Irina18 [472]

Answer:

The choice third ; a=9 , c= 18

Step-by-step explanation:

$\sin(60) = \frac{9 \sqrt{3} }{c} \\ \\ c = 18$

$\tan(30) = \frac{a}{9 \sqrt{3} } \\ \\ a = 9$

3 0

2 years ago

19. James has a desk job and would like to become more fit, so he purchases a

Neko [114]

Answer:

The correct answer is option (C)-0.245 = 2.160(0.205)

Step-by-step explanation:

Solution

Given that:

The slope = - 0.245

The size sample = n = 15

The standard error = 0.205

The confidence level = 95

The Significance level= α = (100- 95)% = 0.05

Now,

The freedom of degree = n-2 = 15 -2= 13

Thus,

the critical value = t* = 2.16

By applying Excel = [TINV (0.05, 13)]

The Margin of error is = t* (standard error)

=2.16 *0.205

= 0.4428

8 0

3 years ago

Jenny bought gas for her car gas cost 3.45 pee gallon jenny bought 12.2 gallons what was the total cost for jennys gas

Semenov [28]

Answer:

$42.09

Step-by-step explanation:

1. multiply the cost per gallon (3.45) by the gallons purchased (12.2)

3.45*12.2 = 42.09

6 0

3 years ago

The answer to question 24 please!

erica [24]

Answer:

Step-by-step explanation:

5 0

3 years ago