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4 years ago

13

Sean says that to add a number to -100 and still have -100 is to add a zero.Candice says that she can add 2 numbers to -100 and

still have -100. Who is correct and why?

1 answer:

vekshin14 years ago

6 0

Answer:

Sean because zero added to anything is the same answer.

Step-by-step explanation:

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Your gross pay is $1,878.96, net income is $1,196.34, and fixed expenses are $1,338.54. What is your discretionary income?

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$0

Step-by-step explanation:

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3 years ago

4. Suppose a security light is set into the ground and aims its light at the top of the building. The angle of elevation of the

brilliants [131]

Answer:

a) The distance of the light's base from the bottom of the building is approximately: 5.2 ft

b) The length of the beam is approximately: 10.4 ft

Step-by-step explanation:

First, we have to recognize that we may draw a right triangle to picture our problem. Then, in order to find out the distance of the light's base from the bottom of the building, we need to use the tangent trigonometric function:

tan(angle) = opposite side / adjacent side

We know the angle and the opposite side and we want to find the adjacent side:

adjacent side = opposite side / tan(angle) = 9 ft / tan(60°) = 9 ft / = 9 ft / 1.73 = 5.2 ft

In order to find the length of the light beam, we use Pythagoras Theorem:

leg1²+leg2² = hyp²

Since the length of the beam corresponds to the hypotenuse and since we already know the length of the two legs, it is just a matter of substituting the values:

hyp = square_root(leg1²+leg2²) = square_root(9² + 5.2²) ft = square_root(108.4) ft = 10.4 ft

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3 years ago

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3 years ago

An airplane pilot can see the top of a traffic control tower at a 20 degree angle of depression. the airplane is 5,000 feet away

daser333 [38]

The given question describes a right triangle with with one of the angles as 20 degrees and the side adjacent to the angle 20 degrees is of length 5,000 feet. We are looking for the length of the side opposite the angle 20 degrees.

Let the required length be x, then

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Therefore, the height of the airplane above the tower is 1,819.85 feet.

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4 years ago

Read 2 more answers

solve for a dairy needs 275 gallons of milk containing 5% butterfat. how many gallons each of milk containing 7% butterfat and m

Kazeer [188]

X = gallons of the 7% butterfat milk

y = gallons of the 2% butterfat milk

now, we'll be adding "x" gallons of the 7% one, but we know that, is really "x" gallons, but only 7% of it is butterfat, the rest is water and other subtances.

so, in "x" gallons, how many gallons is butterfat only anyway? namely, what is 7% of "x"? well, (7/100) * x, or 0.07x.

likewise, how many gallons of butterfat are in the 2% one? well, (2/100) * "y" or 0.02y.

we know that, whatever "x" and "y" add up to 275 gallons, thus x + y = 275.

we also know that, the butterfat amounts add up to the same butterfat in the 275 gallons, thus

$\bf \begin{array}{lccclll}
&\stackrel{gallons}{amount}&\stackrel{butterfat~\%}{quantity}&\stackrel{butterfat~gallons}{quantity}\\
&------&------&------\\
\textit{7\% butterfat milk}&x&0.07&0.07x\\
\textit{2\% butterfat milk}&y&0.02&0.02y\\
--------&------&------&------\\
mixture&275&0.05&13.75
\end{array}$

$\bf \begin{cases}
x+y=275\implies \boxed{y}=275-x\\
0.07x+0.02y=13.75\\
----------\\
0.07x+0.02\left( \boxed{275-x} \right)=13.75
\end{cases}
\\\\\\
0.07x-0.02x+5.50=13.75\implies 0.05x=8.25
\\\\\\
x=\cfrac{8.25}{0.05}\implies x=165$

how much will it be of the 2% milk? well, y = 275 - x.

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3 years ago