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3 years ago

PLEASE ANSWER!! I NEED IT!!!

Mathematics

1 answer:

zzz [600]3 years ago

6 0

Answer:

L=15 6/8feet

B=20 feet

Step-by-step explanation:

You might be interested in

Multiply (n+12)(n-7)

ki77a [65]

(n+12)(n-7) = n^2 + 5n - 84

8 0

3 years ago

A cone has radius 9 and a height 12. A frustum of this cone has height 4.

Anettt [7]

Answer:

Part A)

The lower base has a radius of 9 units, and the upper base has a radius of 6 units.

Part B)

5 units.

Part C)

75π or about 235.62 square units.

Step-by-step explanation:

Please refer to the figure below.

The cone has a radius of 9 units and a total height of 12 units.

A frustum of the cone has a height of 4 units.

Part A)

The lower radius of the frustum will simply be 9 units.

For the upper radius, we will use the properties of similar triangles. We will compare the smaller upper triangle to the overall larger triangle. This yields:

$\displaystyle \frac{12}{8}=\frac{9}{x}$

Solve for <em>x.</em> Simplify:

$\displaystyle \frac{3}{2}=\frac{9}{x}$

Cross-multiply:

$18=3x\Rightarrow x=6$

The upper base has a radius of 6 units.

Part B)

We can first find the total slant height of the entire cone. By using the Pythagorean Theorem, this yields that the total slant height is:

$SH^2=12^2+9^2$

Simplify:

$SH^2=225\Rightarrow SH=15\text{ units}$

Now, find the slant height of the upper cone:

$(SH_\text{cone})^2=8^2+6^2=100$

So:

$SH_\text{cone}=10$

Then the slant height of the frustum will be the cone subtracted from the total. Thus:

$SH_{\text{frustum}}=15-10=5\text{ units}$

Part C)

We can first find the lateral area of the entire cone. The lateral area is given by:

$LA=\pi r\ell$

The lateral area of the entire cone will be:

$LA=\pi (9)(15)=135\pi$

The lateral area of the upper cone will be:

$LA_\text{cone}=\pi(6)(10)=60\pi$

Then the lateral area of the frustum is:

$LA_\text{frustum}=135\pi-60\pi =75\pi\text{ units}^2\approx235.62\text{ units}^2$

5 0

2 years ago

Fourteen friends went to the county fair. All except 6 of them bought a hot dog.each hot cost $3.how much did the friends spend

yanalaym [24]

14 friends - 6 friends = 8
8 (friends) x 3 (dollars) = 24 (dollars total)
ANSWER = $24

6 0

2 years ago

Point g is located at (3,6) on the coordinate plane. Point G is reflected over the x-axis to create point G'. Point G' is then r

dmitriy555 [2]

-Answer:

(-3. -6)

Step-by-step explanation:

G (3,6)

x axis reflect

G' (3, -6)

y axis reflect

G'' (-3. -6)

6 0

2 years ago

I don't understand this I need someone to explain the answer

Temka [501]

So,

Proportion basically means, that something is proportional

Example: A rope's length and weight are in proportion.

It's in proportion because the longer the rope, the more the weight

so, let's say

A popcorn machine costs 20 an hour

And in order to rent one, you have to pay $32 dollars

So you pay 32 for the machine, then 20 for every hour you use it

the number of hours used WOULD be proportional to the cost because

the more hours used, the more the cost

your final answer: YES it is proportional

4 0

3 years ago