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ELEN [110]
3 years ago
11

What is the area of a sheet of binder paper? (Binder paper is 8 1/2 inches by 11 inches.)

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
3 0
Area of a rectangle is the product of length times width.  Thus, here we need the product of 8 1/2 inches by 11 inches.

One way of doing this follows:            8.5
                                                         8.5
                                                       ----------         
                                                         93.5 square inches

Rounding up, this comes out to 94 square inches.

Alternatively:     17             187
                         ---- * 11 = ------- = 93.5 square inches; rounded, that's 94.
                           2                 2
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Put in Ti-84 Calc answer = 14.666666667
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3 years ago
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
Sedbober [7]
Answer: The tall cliff is 118.20 feet tall and the short cliff is 70.32 feet tall.

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:

tan(28) = x /90
x = 47.88

From the top of the short cliff to the bottom, we can right and solve the following trip equation.

tan(38) = x/90
x = 70.32

The 70.32 is also the height of the short cliff. And adding the two answers together will give you the height of the tall cliff.

5 0
3 years ago
Find the true measurements of the missing angle and show your work
Wittaler [7]

Answer:

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Step-by-step explanation:

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8 0
2 years ago
-3(1+6r)+12=14. solve for r
emmasim [6.3K]

Answer: r = -5/18


Step-by-step explanation: You solve -3(1+6r)+12=14

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-18r+9=14

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r=-5/18


6 0
3 years ago
Read 2 more answers
The length of CD is 12 units C’D’ is the image of CD under a dilation with a scale factor of n.Which of these are true?
Korvikt [17]

Answer: FIrst option, Fourth option and Fifth option.

Step-by-step explanation:

First it is important to know the definition of "Dilation".

A Dilation is defined as a transformation in which the Image (which is the figure obtained after the transformation) and the Pre-Image (this is the original figure, before the transformations) have the same shape, but their sizes are different.

If the length of CD is dilated with a scale factor of "n" and it is centered at the origin, the length C'D' will be:

C'D'=nCD=(n)(12\ units)

Therefore, knowing this, you can determine that:

1. If n=\frac{3}{2} , you get:

C'D'=(\frac{3}{2})(12\ units)=18\ units

2. If n=4, then the length of C'D' is:

C'D'=(4)(12\ units)=48\ units

3. If n=8, then:

C'D'=(8)(12\ units)=96\ units

4. If n=2, then, you get that the lenght of C'D' is:

C'D'=(2)(12\ units)=24\ units

5. If n=\frac{3}{4}, the length of C'D' is the following:

C'D'=(\frac{3}{4})(12\ units)=9\ units

8 0
3 years ago
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