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3 years ago

8

On the surface of the moon, the value of g is 1.67 m/s squared. Find the distance an object falls in 5.00 seconds when dropped o

n the moon. For 1 Point(s)
Answer:

A) 20.9 meters
B) 35 meters
C) 55 meters
D) 100 meters
E) 130 meters

1 answer:

Bingel [31]3 years ago

5 0

Answer:

A

Step-by-step explanation:

A

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3(x+10)=2(2x+16) help please & thank you

andrew-mc [135]

In this question, you have to isolate <em>x</em>.

First, use the distributive property.

$3x+30=4x+32$

Now that you have distributed, subtract the constants.

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3 years ago

A box of fruit has four times more peaches than plums.

Ugo [173]

Answer:

The number of plums = 4

The number of peaches = 16

The number of nectarines = 1

Step-by-step explanation:

Let the number of peaches be = x

Let the number of nectarines be = y

Let the number of plums be = z

A box of fruit has four times more peaches than plums. This means that

The number of peaches = 4 X the number of plums.

i.e x = 4z

The box has 3 fewer nectarines than plums. This means that

Number of nectarines = number of plums - 3

i.e y = z - 3

If the box contains 21 pieces of fruit, this means that if we sum up all the peaches, nectarines, and plums in the box, we will get 21.

Peaches + Nectarines + Plums = 21

4z + z-3 + z = 21

6z =21 +3

z = 24/6

z = 4

Therefore, the number of plums = 4

The number of peaches = 4 X 4 = 16

The number of nectarines = 4 -3 = 1

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3 years ago

How can you use similar triangles to solve problems?

mars1129 [50]

Answer:

you can use similar triangle to make known degrees in problems to make then easier to solve. With similar triangle, the angles are the same, but the scale is different. So by using this, one can solve both at the same time, and just just scale up the smaller one or scale down the larger, by the given/found scale.

Step-by-step explanation:

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3 years ago

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The object below was made by placing a cone on top of a cylinder. The base of the cone is congruent to the base of the cylinder.

Ber [7]

Answer:

Part 1) The volume of the object is $32\pi\ cm^{3}$ or $100.48\ cm^{3}$

Part 2) see the procedure

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

Part 1) What is the volume, in cubic centimeters, of the object?

we know that

The volume of the object is equal to the volume of the cylinder plus the volume of the cone

Find the volume of the cone

The volume of the cone is equal to

$V=\frac{1}{3}\pi r^{2} h$

we have

$r=4/2=2\ cm$ -----> the radius is half the diameter

$h=3\ cm$

substitute the values

$V=\frac{1}{3}\pi (2^{2})(3)=4\pi\ cm^{3}$

Find the volume of the cylinder

The volume of the cylinder is equal to

$V=\pi r^{2} h$

we have

$r=4/2=2\ cm$ -----> the radius is half the diameter

$h=(10-3)=7\ cm$

substitute the values

$V=\pi (2^{2})(7)=28\pi\ cm^{3}$

Part 2) Then explain how you found the volume of the total shape

The volume of the total shape is equal to the volume of the cylinder plus the volume of the cone

$4\pi\ cm^{3}+28\pi\ cm^{3}=32\pi\ cm^{3}$ ------> exact value

Find the approximate value of the volume

assume

$\pi=3.14$

$32(3.14)=100.48\ cm^{3}$

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3 years ago

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X squared plus 8X +12

Xelga [282]

Answer:

(x+2)(x+6)

Step-by-step explanation:

x2 + 8x +12

x 2

x 6

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