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vlada-n [284]
3 years ago
5

Write the prime factorization of each number using exponents 20=

Mathematics
1 answer:
Musya8 [376]3 years ago
4 0
20 =    2 * 2 * 5  = 2² ×  5
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A cable for a power transformer forms
posledela

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}

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h =  \frac{28}{0.866}

h = 32.33

The length of the cable is approximately 32 feet

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3 years ago
In quadrilateral $ABCD$, we have $AB=3,$ $BC=6,$ $CD=4,$ and $DA=4$.
vampirchik [111]
The triangle inequality applies.

In order for ACD to be a triangle, the length of AC must lie between CD-DA=0 and CD+DA=8.

In order for ABD to be a triangle, the length of AC must lie between BC-AB=3 and BC+AB=9.

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{4, 5, 6, 7}
8 0
3 years ago
At the Sunnyvale Play House, the price for an adult ticket is $12 and the price of a child's ticket is $6. For Saturday night's
Rzqust [24]

Answer:

a + c = 125 & 12a + 6c = 1140

Step-by-step explanation:

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4 0
2 years ago
Given the triangle below, find the value of x
Nataliya [291]

Answer:

I think it is b I’m not quite sure though. Sorry if wrong…

Step-by-step explanation:

6 0
2 years ago
How do we solve these type of questions
svetoff [14.1K]
In the second equation it is actually going on to be +2x^2 -4x-2 then your going to combine like terms. So it will be 5x^2-10. Because he 4x’s are going to eliminate each other.
4 0
3 years ago
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