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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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Icated (Q#1-4).<br> 2. Solve by substitution; x+3y + 4)<br> 3x - 5y = 8<br> 3 (3x+4)<br> aytla

puteri [66]

Answer:

See explanation

Step-by-step explanation:

Assuming your system is:

$x + 3y = 4$

$3x - 5y = 8$

Then make x the subject in the first equation to get:

$x = 4 - 3y$

Put this equation into the second equation to get:

$3(4 - 3y) - 5y = 8$

$12 - 9y - 5y = 8$

$- 9y - 5y = 8 - 12$

$-14y = - 4$

$y = \frac{ - 4}{ - 14} = \frac{2}{7}$

This means that:

$x = 4 - 3 \times \frac{2}{7}$

$x = 4 - \frac{6}{7} = \frac{22}{7}$

4 0

3 years ago

The director of a state agency believes that the average starting salary for clerical employees in the state is less than $30,00

ss7ja [257]

Answer:

The test statistics is $z = -1$

Step-by-step explanation:

From the question we are told that

The sample size is n = 100

The null hypothesis is $H_o : \mu = \$30000$

The alternative hypothesis is $H_a : \mu < \$ 30000$

The sample mean is $\= x = \$29,750$

The standard deviation is $\sigma = \$2,500$

The level of significance is $\alpha =0.05$

Generally the test statistics is mathematically represented as

$z = \frac{\= x - \mu }{ \frac{ \sigma}{ \sqrt{n} } }$

=> $z = \frac{29750 - 30000 }{ \frac{ 2500}{ \sqrt{100} } }$

=> $z = -1$

7 0

3 years ago

Find the least common multiple of 10 and 16.

hammer [34]

I'm pretty sure its 80, if this isnt for school i suggest Calculator Soup's LCM calculator (:

7 0

2 years ago

Read 2 more answers

Here are four questions A) 2/5 B) 2/3 C) 1/4 D) 1/10 put them in order

lara [203]

Answer:

1/10, 1/4, 2/5, 2/3.

Step-by-step explanation:

Convert the fractions into decimals.

2/5 = 0.4

2/3 ≈ 0.66666

1/4 = 0.25

1/10 = 0.1

Arrange from smallest to largest.

0.1, 0.25, 0.4, 0.6666

Change back to fraction form.

1/10, 1/4, 2/5, 2/3.

3 0

2 years ago

Read 2 more answers

Denzel has a new puppy that weighs 12 pounds. The vet says that the puppy is now at about 20% of its adult weight. What will be

olchik [2.2K]

Answer:

60 pounds

Step-by-step explanation:

To find the adult weight, multiply 12 by 5.

Since 12 pounds is 20% of the adult weight, 100% of the adult weight would be 12 times 5.

12(5)

= 60

So, the adult weight of the puppy will be 60 pounds

7 0

2 years ago