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2 years ago

15(3x - 4y) Use Distributive property

Mathematics

2 answers:

MariettaO [177]2 years ago

5 0

45x -4y is the answer

Aneli [31]2 years ago

4 0

Answer:

45x - 60y

Step-by-step explanation:

15 × 3x = 45x

15 × 4y = 60y

put them together

45x - 60y

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I need help solving this equation<br> 4n-9=2(5+2n)

Nastasia [14]

First, use distributive property on the right half.

2 * 5 = 10

2 * 2n = 4n

4n - 9 = 10 + 4n

Add 9 to both sides

4n = 19 + 4n

Subtract 4n from both sides

0 = 19

But thats not true. Therefore, there is no solution.

4 0

3 years ago

49 divided by ? makes the 49 a lower number?

ad-work [718]

Answer:

im not sure what you mean can you elaborate

Step-by-step explanation:

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

HELP ASAP What is the coefficient of the term 6/7xy ?

yawa3891 [41]

Answer: The coefficient of the 6/7xy is 6/7.

7 0

3 years ago

Read 2 more answers

You have a function that takes in an X value and produces a Y value. The x value equals 7 times the y value, plus 18 more. What'

Ulleksa [173]

X=33 is the answer to this question!!!

3 0

2 years ago