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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
You might be interested in
2. PLZ JUST HELP BRO
Lorico [155]
The answer is probably the first or second one. I made it easier for you
8 0
3 years ago
George buys some first class and second class stamps to put on some letters. Each first class stamp costs 67p, and each second c
Dafna1 [17]

Answer:

£191.36

Step-by-step explanation:

Sum the parts of the ratio, 1 + 4 = 5 parts

Divide 320 by 5 to find the value of one part of the ratio.

320 ÷ 5 = 64 ← value of 1 part of the ratio , thus

4 parts = 4 × 64 = 256

Thus he bought 64 first class and 256 second class.

Cost = (64 × £0.67) + (256 × £0.58)

        = £42.88 + 148.48

        = £191.36

3 0
3 years ago
The midpoint of FG is (6-4) and the coordinates of point Fare (-3, 6) What are the coordinates of point G?​
lora16 [44]

Answer:

(15,-14)

Step-by-step explanation:

Given that,

The midpoint of FG is (6-4) and the corrdinates of F are (-3,6).

Let (x,y) be the coordinates of point G. Using mid point formula,

\dfrac{x+(-3)}{2}=6\ \text{and}\ \dfrac{y+6}{2}=-4\\\\x-3=12\ \text{and}\ y+6=-8\\\\x=15,\ \text{and}\ y=-14

So, the coordinates of G are (15,-14).

4 0
2 years ago
The 9th and the 12th term of an arithmetic progression are 50 and 65 respectively. find the common difference
Rzqust [24]

The first term of the arithmetic progression exists at 10 and the common difference is 2.

<h3>How to estimate the common difference of an arithmetic progression?</h3>

let the nth term be named x, and the value of the term y, then there exists a function y = ax + b this formula exists also utilized for straight lines.

We just require a and b. we already got two data points. we can just plug the known x/y pairs into the formula

The 9th and the 12th term of an arithmetic progression exist at 50 and 65 respectively.

9th term = 50

a + 8d = 50 ...............(1)

12th term = 65

a + 11d = 65 ...............(2)

subtract them, (2) - (1), we get

3d = 15

d = 5

If a + 8d = 50 then substitute the value of d = 5, we get

a + 8 * 5 = 50

a + 40 = 50

a = 50 - 40

a = 10.

Therefore, the first term is 10 and the common difference is 2.

To learn more about common differences refer to:

brainly.com/question/1486233

#SPJ4

4 0
2 years ago
What is the value of c?<br> O 4 units<br> O 5 units<br> O 6 units<br> O 7 units
Aleksandr [31]

The value of c is 5 units.

Step-by-step explanation:

Given,

WY = a =  4

ZY = b = 3

As WYZ is forming a right angle triangle, therefore, we can use pythagorean theorem to find the value of c

a^2+b^2=c^2\\(4)^2+(3)^2=c^2\\16+9=c^2\\c^2=25

Taking square root on both sides

\sqrt{c^2}=\sqrt{25}\\c=5

The value of c is 5 units.

Keywords: triangle, square root

Learn more about triangles at:

  • brainly.com/question/10754198
  • brainly.com/question/10771256

#LearnwithBrainly

6 0
3 years ago
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