MATHEMATICS HIGH SCHOOL

3. A prop for the theater club's play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round your answer to the nearest tenth of a cubic inch. Use 3.14 to approximate pi. 12 radius 18 height ​

Answers

Answer 1
Answer:

Answer:

8138.88 cubic unit.

Step-by-step explanation:

Given that,

Radius, r = 12

Height, h = 18

We need to find the volume of the prop. The volume of a cylinder is given by the formula as follows :

V=\pi r^2 h\n\nV=3.14* 12^2 * 18\n\nV=8138.88\

So, the volume of the cylinder is 8138.88 cubic unit.

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What is the equation of the graphed line written in standard form?3x + y = –5
x + 3y = –5
3x – 5y = –15
5x – 3y = 15

Answers

Answer:

D. 5x-3y=15

Step-by-step explanation:

Hey there!!

Standard form is sum of two variables is equal to constant.

Hence, all the options are in the standard points.

Hope my answer helps!!

Which is a quadratic function having a leading coefficient of 3 and a constant term of –12?

Answers

f(x) = 3x^2 + 11x – 12.

Answer:

f(x) = 3x^2 + 11x – 12.

Step-by-step explanation:

Expand the logarithmic expression.
Log (base b) Square root 57/74

Answers


we are asked to expand the logarithmic expression log base b square root of 57/74. In this case, the terms can be expressed as log 57/74 over log b. The expanded form is expressed as -0.1134 / log b. This can be also expressed as (log 57 - log 74)/ log b. 

the area of the field is 6000 square yards. write and solve a formula to find the width of the field

Answers

Answer: For a rectangular shape, the area is equal to the product of th length and the width. so A = L*W

If the area is 6000 yd^(2)

so if you want to know the width you need to solve the equation W = A/L for finding the value of W.

I think in the picture says that L = 60 yds

so W = 6000/60 = 100 yards.
L-lenght
W-width

A = L·W

A = 6000 yd
L = 60 yd

subtitute

60W = 6000    |divide both sides by 60

W = 100 (yd)

List the factors of 5i^2+12i−32 i need help fast

Answers

Answer:

Step-by-step explanation:

5i² + 12i - 32i  = 5i² - 20i

                      = 5i² - (5*4*i)

                      = 5i(i - 4)

A queen size mattress has a catalog price of $428.99. The trade-discount rate is 20%. What is the net price to the nearest cent?

Answers

The queen size mattress has a catalog price of 428.99 dollars.
NOw, it has a trade discount rate or 20% 
=> 20% / 100% = .20
Next is to do the solution:
=>  428.99 * .20 = 85.798 dollars or 85.80
Now, let's find out the net price:
=> 428.99 - 85.80 = 343.19 dollars or 343.2.
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