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faust18 [17]
3 years ago
9

A cable for a power transformer forms

Mathematics
1 answer:
posledela3 years ago
3 0

Answer:

32 ft

Step-by-step explanation:

From the diagram, the side opposite the 60° angle is 28 feet.

We are looking for the approximate length of the cable.

The approximate length of the cable is the hypotenuse of the triangle shown.

Recall the sine ratio from SOH-CAH-TOA

Which means Sine of the angle is Opposite/Hypotenuse

Let the hypotenuse be h, then we have:

\sin(60) =  \frac{28}{h}

0.866 =  \frac{28}{h}

h =  \frac{28}{0.866}

h = 32.33

The length of the cable is approximately 32 feet

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Polynomials <br><br> Multiply 5x(x2 - 4x + 2)
salantis [7]

Answer:

Assuming "x2" is x squared:

5x(x2-4x+2)

(5x(x2)+5x(-4x)+5x(2))

<u>5x^3-20x+10x</u>

For these polynomial multiplication problems, just distribute the number outside the parentheses.

4 0
3 years ago
Read 2 more answers
The map shows the location of the airport and a warehouse in a city. Though not displayed on the map, there is also a factory 88
Firdavs [7]
The answer is __ because the directions that the truck traveled are basically in the shape of a right triangle. From the warehouse to the airport, that's the slanted line, and from the warehouse to the factory, and the factory to the airport, those are the other lines. 

To find the slant line of a right triangle, you want to use the Pythagorean theorem:

a^(2) * b^(2) = c^(2)

c being the slant line

In this case, we want to count how many boxes the other two lines are, then later factor in what units it's in. (meaning later we convert the boxes into miles)

The distance from the warehouse to the factory is 8, and the distance from the factory to the airport is 6. Now, we want to multiply 8 squared by 6 squared to equal c squared.

64+36 = 100

c squared = 100

Next, we have to find the square root of both sides of the equation. 

c = 10 

This means that there are 10 boxes in between the airport and the warehouse. Since one box = 44 miles, then we multiply our answer by 44 to find the real amount of miles that the truck traveled. 

The distance from the warehouse to the airport = 440 miles
The distance from the warehouse to the factory = 352 miles (44*8)
The distance from the factory to the airport = 264 miles (44*6)

Now just add all the values together to find out how many miles in total the truck traveled. 

440 + 352 + 264 = 1056
3 0
4 years ago
I NEED HELP
Goshia [24]
2p+3>2p-6
-3 -3
2p > 2p -8
0p >-8
C. No solution
6 0
3 years ago
Read 2 more answers
PLLLSLSSLSLSLS HELP ME!!!!!!!!!!!!!!!!!!
umka2103 [35]

Answer:

C

Step-by-step explanation:

1/4--1/2=0.75

This is less than 2 which you get from 1/2 times 2 which =1

1+1=2

7 0
3 years ago
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Isa bought a number of pears and apples and paid $128 for them. If a pear costs $3.00 and an apple costs $4,00, how many apples
rodikova [14]

The numbers of pears and apples bought are 16 and 20 respectively

let

x = number of pears

y = number of apples

He bought 4 more apples than pears. Therefore,

  • y = x + 4

He bought a number of pears and apples and paid $128 for them. Therefore,

  • 3x + 4y = 128
<h3>System of equation:</h3>

y - x = 4

4y + 3x = 128

Therefore,

3y - 3x = 12

4y + 3x = 128

7y = 140

y = 140 / 7

y = 20

Therefore,

20 = x + 4

x = 20 - 4

x = 16

learn more on algebra here: brainly.com/question/971162

5 0
3 years ago
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