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vodomira [7]
3 years ago
9

Ellen casts a 5.5 foot shadow. If Ellen is 4 feet 6 inches tall, and her brother is 6 foot tall, how long of a shadow does he ca

st at the same time of day?
A) 6 ft. 8 in.

B) 7 ft. 2 in.

C) 7 ft. 4 in.

D) 7 ft. 8 in.
Mathematics
1 answer:
Nadya [2.5K]3 years ago
8 0

Answer:

C) 7 ft 4 in

Step-by-step explanation:

Shadows are assumed to be proportional to the height of the object casting them. Hence the brother's shadow will satisfy ...

shadow/(6 ft) = (5.5 ft)/(4.5 ft) = 11/9 . . . . . reduce the fraction

shadow = (6 ft) · (11/9) . . . . . . . . . . . . . . . . . multiply by 6 ft

shadow = 7 1/3 ft = 7 ft 4 in

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two vertical cliffs are on opposite sides of a 90 foot wide river. From point A at the top of the shorter cliff, the angle of el
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If you draw a picture with 2 cliffs and a river in the middle, you have find 2 right triangles. In each triangle the adjacent side to our known angle is the river of 90 feet. And the unknown side is the opposite leg.

Therefore, we can set up a tangent equation.

From the top of the short cliff to the top of the tall cliff, we can right and solve the following trig equation:

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5 0
3 years ago
46 3= what is the answer
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Hope it helped
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5 0
3 years ago
Doreen has the option of borrowing $960 for 1 week at an APR of 350% or
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3 0
3 years ago
What is the value of the rational expression 2x^2+5x+9/x^2+2x-1 when x=-2
Sergio039 [100]

Answer:

The value of the Rational expression when x=-2 is: -7

Step-by-step explanation:

For this exercise is important to remember:

  • When a negative number is raised to an even power, the result will be positive.
  • The multiplication of signs:

       (+)(+)=+\\(-)(-)=+\\(-)(+)=-

Then, given the following Rational expression:

\frac{2x^2+5x+9}{x^2+2x-1}

You need to follow these steps in order to find its value when x=-2:

1. Substitute the given value of "x" (x=2) into the expression:

 \frac{2(-2)^2+5(-2)+9}{(-2)^2+2(-2)-1}

2. Evaluate and simplify:

\frac{2(4)+5(-2)+9}{4+2(-2)-1}=\frac{8-10+9}{4-4-1}=\frac{7}{-1}=-7

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3 years ago
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