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Simora [160]
3 years ago
14

An electrician needs to run a cable from the top of a 40​-foot tower to a transmitter box located 30 feet away from the base of

the tower. Find how long he should cut the cable.
Mathematics
1 answer:
grin007 [14]3 years ago
3 0
The cable should be 50 feet.

If you draw the picture, you will see that you have a right triangle.

Let's just use the Pythagorean Theorem to find the hypotenuse (or cable).

30^2 + 40^2 = c^2
2500 = c^2
50 = c
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What is 4.2 divided by 20.076
faust18 [17]

Answer:

0.209205

Step-by-step explanation:

I put it in the calculator and got this...

3 0
3 years ago
What is the measure of angle TSU?
Irina-Kira [14]

Answer:

m<TSU = 65

Step-by-step explanation:

As one can see, the measure of angle (RST) is (90) degrees. This is indicated by the box around the angle. As a general rule, when there is a box around an angle, the angle measure if (90) degrees. It is also given that the measure of angle (RSU) is (25) degrees. As per the given diagram, the sum of the measures of angles (RSU) and (UST) is (RST). Therefore, one can form an equation and solve for the measure of angle (UST).

(RSU) + (UST) + (RST)

Substitute,

25 + (UST) = 90

Inverse operations,

25 + (UST) = 90

UST = 65

(<UST) is another way of naming angle (TSU).

5 0
3 years ago
Read 2 more answers
How can I solve this?!
Nutka1998 [239]

A

evaluate f(5) and f(2)

f(5) = 5m + b and f(2) = 2m + b, hence

f(5) - f(2) = 5m + b - 2m - b = 3m

the expression simplifies to

\frac{3m}{3} = 2 ( cross- multiply )

3m = 6 ( divide both sides by 3 )

m = 2 → A




8 0
3 years ago
What is the slope of a horizontal line?
Misha Larkins [42]

Answer:

Slope of a horizontal line. When two points have the same y-value, it means they lie on a horizontal line. The slope of such a line is 0, and you will also find this by using the slope formula.

8 0
3 years ago
Please help me out............................
Alina [70]

Answer:

<h2>b = 15°</h2>

Step-by-step explanation:

If Pq = RQ then ΔPQR is the isosceles triangle. The angles QPR and PRQ have the same measures.

We know: The sum of the measures of the angeles in the triangle is equal 180°. Therefore we have the equation:

m∠QPR + m∠PRQ + m∠RQP = 180°

We have

m∠QPR = m∠PRQ and m∠RQP = 60°

Therefore

2(m∠QPR) + 60° = 180°       <em>subtract 60° from both sides</em>

2(m∠QPR) = 120°           <em>divide both sides by 2</em>

m∠QPR = 60° and m∠PRQ = 60°

Therefore ΔPRQ is equaliteral.

ΔPSR is isosceles. Therefore ∠SPR and ∠PRS are congruent. Therefore

m∠SPR = m∠PRS

In ΔAPS we have:

m∠SPR + m∠PRS + m∠RSP = 180°

2(m∠SPR) + 90° = 180°            <em>subtract 90° from both sides</em>

2(m∠SPR) = 90°             <em>divide both sides by 2</em>

m∠SPR = 45° and m∠PRS = 45°

m∠PRQ = m∠PRS + b

Susbtitute:

60° = 45° + b           <em>subtract 45° from both sides</em>

15° = b

3 0
3 years ago
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