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tamaranim1 [39]
3 years ago
9

the formula for the surface area of.a cube is S = 6x squared where x is the length of one side. find the length of the side of a

cube with a surface area of 150 square imches HELP NOWwww!!!!!
Mathematics
1 answer:
Natali [406]3 years ago
3 0

Answer:

5 in

Step-by-step explanation:

S = 6x² is the formula and S = 150 in²

<u>Therefore we have:</u>

  • 150 = 6x²
  • x² = 150/6
  • x² = 25
  • x = √25
  • x = 5 in

Side of the cube is 5 in

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10 times

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4 The number of laps Jessica runs around the track is proportional to the time she
iragen [17]

Answer:

A. 24 lap/hour.

B. r = 24h

Step-by-step explanation:

Let r be the number laps.

Let h be the time.

From the question given above, the number of laps (r) Jessica runs around the track is proportional to the time (h) she spend running. This can be written as:

r & h

r = Kh

Where:

r is the number of laps.

K is the constant of proportionality.

h is the time.

A. Determination of the constant of proportionality.

With the above formula, we can calculate the value of the constant of proportionality, K as follow:

Number of laps (r) = 12 laps

Time (h) = ½ hour

Constant of proportionality (K) =.?

r = Kh

12 = K × ½

12 = K/2

Cross multiply

K = 12 × 2

K = 24 lap/hour

Therefore, constant of proportionality is

24 lap/hour.

B. Equation for relationship between the number of lap and time. This is illustrated below:

r = Kh

K = 24

r = 24h

Therefore, the equation for relationship between the number of lap and time is r = 24h

7 0
3 years ago
A triangle has an area of 600 square feet. The height of the triangle is 20 feet. The base of the triangle is
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Step-by-step explanation:

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A space telescope on a mountaintop is housed inside of a cylindrical building with a hemispheric dome. If the circumference of t
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Answer:

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Step-by-step explanation:

GIVEN: A space telescope on a mountaintop is housed inside of a cylindrical building with a hemispheric dome. If the circumference of the dome is 84\text{ feet}, and the total height of the building up to the top of the dome is 91\text{ feet}.

TO FIND: what is the approximate total volume of the building.

SOLUTION:

let the height of the mountaintop be h\text{ feet}

As the dome hemispherical.

circumference of a hemisphere =\frac{1}{2}\times2\pi\times radius

                                                    =\pi\times radius

                                                    \frac{22}{7}\times radius=84

                                                    radius=26.75\text{ feet}

total height of the building up to the top of the dome =\text{radius of hemisphere}+\text{height of mountaintop}

=26.75+h=91

h=64.25\text{ feet}

Volume of building =\text{volume of cylindrical mountaintop}+\text{volume of dome}

                                =\pi(radius)^2h+\frac{2}{3}\pi(radius)^3

as radius of mountain top is same as dome

putting values

                                =3.14(26.75)^264.75+\frac{2}{3}3.14(26.75)^3      

                               =145484.6+40069.1

                               185553.7\text{ feet}^3

Hence the total volume of the building is 185553.7\text{ feet}^3                                      

5 0
3 years ago
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