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3 years ago

Question 3 of 10

Mathematics

1 answer:

ella [17]3 years ago

3 0

Answer:

Step-by-step explanation:

The volume (V) of a sphere is calculated as

V = $\frac{4}{3}$ πr³ ( r is the radius ), thus

V = $\frac{4}{3}$ π × 5³

= $\frac{4}{3}$ π × 125 = $\frac{4(125)}{3}$ π = $\frac{500}{3}$ π units³ → D

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Simplify 2^-6 times 2^3

IgorC [24]

Answer:

(2^-6)*(2^3)

=2^(-6+3)

=2^-3

=1/(2^3)

=1/8

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3 years ago

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Mary and Mike went to the store to buy colored pencils for their science class.mike bought a 12-pack for 1.69,and Mary bought a

sweet-ann [11.9K]

12-pack for 1.69 is a better buy

Solution:

Given that, Mike bought a 12-pack for 1.69 and Mary bought a 24-pack for 3.18

We have to find which is the better buy

First we have to find the unit rate

Unit rate is cost of 1 pack

Mike bought a 12-pack for 1.69

Therefore,

Cost of 12 pack = 1.69

Cost of 1 pack is found by dividing 1.69 by 12

$cost\ of\ 1\ pack = \frac{1.69}{12} = 0.14083$

Thus unit rate of Mike is 0.14083 dollar per pack

Mary bought a 24-pack for 3.18

Cost of 24 pack = 3.18

Cost of 1 pack is found by dividing 3.18 by 24

$cost\ of\ 1\ pack = \frac{3.18}{24} = 0.1325$

Thus unit rate of Mary is 0.1325 dollars

On comparing both the unit rate

$0.14083>0.1325$

Thus unit rate of Mike is larger

Thus, 12-pack for 1.69 is a better buy

3 0

3 years ago

In a right triangle, the tangent of an angle is equal to the length of the leg opposite the angle divided by the length of the l

timurjin [86]

If you recall soh-cah-toa, tangent is equal to the opposite length divided by the adjacent length so it is true.

4 0

3 years ago

8 pts

kolbaska11 [484]

Answer:

6 cm.

Step-by-step explanation:

Since they've given use the area of the triangle, we can use the area formula to find the base of the triangle.

The formula to find the area of a triangle is:

a= 1/2hb

h = height

b= base

We know:

a=24

h=8

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2 years ago

Forty-seven is less than or equal to five times three,added to nine

irina1246 [14]

Answer:

You need to do 5 times 3 for 15 a d then add 9 to get 24, so 47 is not less than or equal to 5 times 3 add 9

Step-by-step explanation:

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3 years ago

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