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2 years ago

Help me pleaseeeeeeeee

Mathematics

1 answer:

tino4ka555 [31]2 years ago

7 0

Answer:

(4+q)3

Step-by-step explanation:

I think this is it if not Im sorry

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A triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis. What is the volume of the figure?

Luden [163]

Given:

A triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis.

To find:

The volume of the figure.

Solution:

Points A(0,0) and C(0,9) lies on the y-axis. Length of AC is 9 units.

Points A(0,0) and B(6,0) lies on the x-axis. Length of AB is 6 units.

If a triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis, then it will form a cone with radius 6 units and height 9 units.

Volume of a cone is

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

where, r is radius of the base and h is vertical height of the cone.

Putting r=6 and h=9, we get

$V=\dfrac{1}{3}\pi (6)^2(9)$

$V=\pi (36)(3)$

$V=108\pi$

Therefore, the volume of the figure is $108\pi$ sq. units.

7 0

3 years ago

A Bank offers an annual simple interest rate of 8% on home improvement loans. Tobias borrowed $17,000 over a period of 2 years.

Alex17521 [72]

We first find out the amount in dollars of interest accrued after 2 years time.

Interest = Prt

where P is the principal, r is the rate and t is time

8% written in decimal fraction → 8/100 → 0.08

Interest = 17000 × 8% × 2

Interest = 1700 × 0.08 × 2

Interest = 2,720 dollars

We add the principal and the interest to get full amount paid, so:

17000 + 2,720 = 19,720

I hope that you good day

6 0

3 years ago

What is the volume of this square pyramid?

tatuchka [14]

Answer: 1296 cm³

Step-by-step explanation:

Since, the volume of a square pyramid is,

$V = \frac{a^2h}{3}$

Where a = side of the square base,

h = height of the pyramid,

By the given diagram,

a = 18 cm,

h = 12 cm,

Hence, the volume of the given pyramid,

$V = \frac{18^2\times 12}{3}$

$= \frac{324\times 12}{3}$

$=\frac{3888}{3}$

$=1296$ cube cm.

⇒ First option is correct.

5 0

3 years ago

Solve the proportion to determine the value of x4x/15=60/x

frozen [14]

4x/15 = 60/x
4x^2 = 900
x^2 = 225
x = 15

4 0

3 years ago

Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains

fenix001 [56]

So 5 liters of natural for every 7 synthetic, so 5 / 12 liters are natural oil.

so; 684 × (5/12) = 285 liters of natural oil

Hope this helps!

7 0

2 years ago