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3 years ago

Find the surface area of the shape below

Mathematics

1 answer:

Juliette [100K]3 years ago

3 0

Answer:

464 in²

Step-by-step explanation:

Surface area of a figure is the total area of its sides.

We shall assume that the shape is a solid.

2 × (5 × 10) = 2 × 50 = 100

2 × 1/2 × 4(10+16) = 4 × 26 = 104

10 × 10 = 100

10 × 16 = 160

Total area = 100 + 104 + 100 + 160

= 464 in²

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A variety of energy bar regularly sells for $1.35, but for one week they were on sale for $0.95.

TiliK225 [7]

Answer:

E) $1.05

Step-by-step explanation:

before sale: $1.35×12=$16.20

during sale: $0.95×(12×3)=$34.20

total money spent=$16.20+$34.20=$50.40

total bars bought=12+(12×3)=48

average=

$\frac{50.40}{48} = 1.05$

3 0

3 years ago

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A scoop of ice cream has 1.5 inch radius. How talk should the cream cone of the same radius be in order to contain all of the ic

MAVERICK [17]

Answer:

The cream cone should be 6 inches.

Step-by-step explanation:

Given:

A scoop of ice cream has 1.5 inch radius.

Now, to find the height of the cream cone.

So, we need to get the volume of scoop by putting formula:

Radius (r) = 1.5 inch.

Using the value π = 3.14.

$Volume=\frac{4}{3} \pi r^3$

$Volume=\frac{4}{3}\times 3.14\times 1.5^3\\\\Volume=\frac{4}{3}\times 3.14\times 3.375\\\\Volume=14.13\ inches^3.$

Thus, the volume of the ice cream scoop is 14.13 cubic inches.

So, to put all of the ice cream inside the cone.

We take the cream cone volume as the scoop volume.

Let the height of cone be $h.$

As, given radius is same.

Now, to get the height of the cream cone we put formula of volume:

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

$14.13=3.14 \times (1.5)^2\times \frac{h}{3}\\\\14.13=3.14\times 2.25\times \frac{h}{3}$

Multiplying both sides by 3 we get:

$42.39=3.14\times 2.25\times h\\\\42.39=7.065\times h$

Dividing both sides by 7.065 we get:

$6=h$

$h=6\ inches.$

Hence, the height of the cone = 6 inches.

Therefore, the cream cone should be 6 inches.

7 0

3 years ago

Manuel borrowed $1,500 from his bank and signed a

Mice21 [21]

Answer:

The total interest to pay back on the loan is $122.40

Step-by-step explanation:

Here. we want to get the amount of interest on the loan

We are going to use the compound interest formula here

A = P(1 + r/n)^nt

where A is the amount to be paid back

P is the amount borrowed called the principal which is $1,500

r is the interest rate which is 4% annually

This is same as 4/100 = 0.04

n is the number of times the interest will be compounded per year ; annually means yearly and so for this case, n = 1

t is the number of years = 2

So we have;

A = 1500(1 + 0.04/1)^(2)(1)

A = 1500(1.04)^(2)

A =$ 1,622.40

So the amount of interest is the difference between the amount borrowed and the value to pay back

That will be;

$1,622.40 - $1,500

= $122.40

3 0

2 years ago

Which expressions are equivalent to the one below?? 36^x/6^x

Keith_Richards [23]

It would be six because they are like terms.

5 0

3 years ago

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What is the area, in square feet, of the shape below?

grin007 [14]

Answer:

17.4 ft²

Step-by-step explanation:

The formula to find the area of a triangle:

1/2 x b x h, where b is the base and h is the height.

1) Substitute the given values into the formula and solve it.

= 1/2 x 6 x 5.8

= 1/2 x 34.8

= 17.4

7 0

2 years ago

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