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3 years ago

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An electrician has a piece of wire that is 18 feet long. He cuts off 14% of the wire. Then he cuts the remaining pieces of wire

into 3 equal pieces. What is the length of each piece.

1 answer:

Ronch [10]3 years ago

6 0

Answer:

the 3 pieces are 5.16ft each and the 14% that he cut off is 2.52 ft

Step-by-step explanation:

the 14 % that he cut off is 2.52ft

he has 15.48ft left

15.48/3=5.16

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Flura [38]

Answer:

D) cot(C) = 1/2.

Step-by-step explanation:

We can go through each choice and examine is validity.

Choice A)

We have:

$\displaystyle \sec B=\frac{3}{7}$

Recall that secant is the ratio of the hypotenuse to the adjacent.

With respect to B, the adjacent is 6 and the hypotenuse is 7.

Therefore, sec(B) should be 7/6 instead.

A is incorrect.

Choice B)

We have:

$\displaystyle \cot B=\frac{3}{2}$

Cotangent is the ratio of the adjacent side to the opposite.

With respect to B, the adjacent side is 6 and the opposite side is 3.

Therefore, cot(B) = 6/3 = 2.

B is incorrect.

Choice C)

C is incorrect for the reasons listed in A.

Choice D)

We have:

$\displaystyle \cot C=\frac{1}{2}$

Again, cotangent is the ratio of the adjacent side to the opposite.

With respect to C, the adjacent side is 3 and the opposite side is 6.

So, cot(C) = 3/6 = 1/2.

Therefore, D is the correct choice!

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miskamm [114]

Answer:

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Step-by-step explanation:

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Xelga [282]

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IgorC [24]

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What us the value of the discriminant of the quadratic equation -2^2=-8x+8 and what does its value mean about the number of a re

svlad2 [7]

ANSWER

The discriminant is zero.

The given equation has one real root.

EXPLANATION

The given quadratic equation is:

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We rewrite this in the form;

$a {x}^{2} + bx + c = 0$

$- 2 {x}^{2} + 8x - 8 = 0$

This means that,

a=-2, b= 8, c=-8

The discriminant is given by;

D=b² - 4ac

That is:

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Therefore the discriminant is zero.

This tells us that the quadratic equation has one real root.

In order words, the given quadratic equation has a repeated real root.

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