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3 years ago

12

Can anybody help????

1 answer:

pychu [463]3 years ago

6 0

Answer:

x = 110° (vertically opposite angel)

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Find y from the picture plz

Xelga [282]

It's a six sided polygon. For any polygon the external angles add to 360 degrees. The internal angles shown are the supplements of the external angles. We have

(180 - θ₁) + (180 - θ₂) + ... + (180 - θ₆) = 360

6(180) - 360 = θ₁ + θ₂ + θ₃ + θ₄ + θ₅ + θ₆

720 = θ₁ + θ₂ + θ₃ + θ₄ + θ₅ + θ₆

The six angles add up to 720 degrees, and five of them add to

126+101+135+147+96=605

So y = 720 - 605 = 115

The degree sign is external to y so not part of the answer:

Answer: 115

6 0

3 years ago

Read 2 more answers

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

3 years ago

1-4y^2 in factored form

Anastasy [175]

Answer:

(1 -2y)(1 +2y)

Step-by-step explanation:

The difference of squares is factored as ...

... a² - b² = (a -b)(a +b) . . . . . . . . a form you should keep handy

Here, you have a=1, b=2y, so your factored form is ...

... 1 -4y² = (1 -2y)(1 +2y)

8 0

3 years ago

Product pf 0.056 and 0.73

FromTheMoon [43]

$0.056 * 0.73 = 0.04088$

<span>0.04088 is the answer.</span>

4 0

3 years ago

Can someone simplify the expression?

SSSSS [86.1K]

<h3>✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽</h3>

➷ 2^3 = 8

2^2 = 4

2(8 - 4) = 8

The answer is 8

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

3 0

3 years ago