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2 years ago

What is the ratio of new books to used books?

Mathematics

1 answer:

skelet666 [1.2K]2 years ago

6 0

Answer:

7 to 8

Step-by-step explanation:

7-15=8

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A pyramid with a square base is cut by a plane that is parallel to its base and is 2 units from the base. The surface area of th

icang [17]

Answer:

6.83 units

Step-by-step explanation:

Let the height of the original pyramid be represented by h. Then the cut off top has a height of (h -2). The scale factor for the area is the square of the scale factor for height, so we have ...

(height ratio)^2 = 1/2

((h -2)/h)^2 = 1/2

(h -2)√2 = h . . . . . . square root; multiply by h√2

h(√2 -1) = 2√2 . . . . add 2√2 -h

h = (2√2)/(√2 -1) ≈ 6.8284 . . . units

The altitude of the original pyramid is about 6.83 units.

7 0

2 years ago

What is 23,009,040 in scientific notation

Crank

23,009,040 = 2.300904 x 107

4 0

3 years ago

The number of letters in Stephanie's full name is sixteen less than twice the number of letters in Amy's full name. If the numbe

Anestetic [448]

Answer:

19 letters

Step-by-step explanation:

Suppose Number of Amy's full name letters = X

Number of Stephanie's full name letters = Y

Now, according to given condition that ''number of letters in Stephanie's full name is sixteen less than twice the number of letters in Amy's full name'',

Equation 1 becomes

Y = 2X-16

Now, according to second condition, product of their names' letter is 418. So,

Equation 2 becomes

XY = 418

Deducing value of X from equation 1,

X = (Y+16)/2

Putting this value in equation 2 we get,

{(Y+16)/2}*Y = 418,

By simplifying this equation we get a quadritic equation

(Y^2)+16Y-836=0

By breaking middle term (You can use quadratic formula here as well)

(Y^2)+38Y-22Y-836=0

Y(Y+38)-22(Y+38)=0

(Y-22)(Y+38)=0

At this stage we have two values for Y,

Y=22, or Y=-38

Now considering only positive value since the number of letters in a name can not be in negative number,

Y=22,

So X=(Y+16)/2

X=19

7 0

3 years ago

Find the value of x in the following diagram, 3x + 10 Here, B and D are points of tangency.

SVEN [57.7K]

Given:

The given circle with center at C. The lines AB and AD are tangents to the circle C.

The length of AB is (3x + 10)

The length of AD is (7x - 6)

We need to determine the value of x.

Value of x:

Since, we know the property of tangent that, "if two tangents from the same exterior point are tangent to a circle, then they are congruent".

We shall determine the value of x using the above property.

Thus, we have;

AB = AD

Substituting the values, we get;

$3x+10=7x-6$

Subtracting both sides of the equation by 7x, we get;

$-4x+10=-6$

Subtracting both sides of the equation by 10, we get;

$-4x=-16$

Dividing both sides of the equation by -4, we get;

$x=4$

Thus, the value of x is 4.

5 0

3 years ago

A baseball pitcher won 80% of the games he pitched. If he pitched 35 ballgames, how many games did he win?

Marina CMI [18]

Answer:

The answer is 28%

Step-by-step explanation:

You multiply them.

7 0

3 years ago

Read 2 more answers