Can someone help me do this. -unnecessary comments will be reported

alexandr1967 [171]

Step-by-step explanation:

64+72+4x+20=180(Sum of angles of a triangle )
156+4x=180
4x=180-156
4x=24
X=24/4
X=6

Therefore The value of X is 6 degree.

6 0

2 years ago

the cylinder has radius 4√3 and hight h. the total surface area of the cylinder is 56π√6. find the exact value of h giving the a

Arte-miy333 [17]

The area of the cylinder is a function of its height (h) and radius, ( $\mathbf{4\sqrt 3}$ )

The exact value of h is: $\mathbf{7\sqrt 2- 4\sqrt 3}$

The given parameters are:

$\mathbf{Area =56\pi\sqrt 6}$

$\mathbf{r=4\sqrt 3}$

The surface area of a cylinder is calculated as:

$\mathbf{Area = 2\pi rh + 2\pi r^2}$

Substitute values for Area

$\mathbf{56\pi\sqrt 6= 2\pi rh + 2\pi r^2}$

Divide through by pi

$\mathbf{56\sqrt 6= 2 rh + 2r^2}$

Substitute value for r

$\mathbf{56\sqrt 6= 2 (4\sqrt 3)h + 2(4\sqrt 3)^2}$

$\mathbf{56\sqrt 6= 8h\sqrt 3 + 2\times 48}$

$\mathbf{56\sqrt 6= 8h\sqrt 3 + 96}$

Collect like terms

$\mathbf{8h\sqrt 3 = 56\sqrt 6- 96}$

Make h the subject

$\mathbf{h = \frac{56\sqrt 6}{8\sqrt 3}- \frac{96}{8\sqrt 3}}$

$\mathbf{h = 7\sqrt 2- \frac{12}{\sqrt 3}}$

Rationalize

$\mathbf{h = 7\sqrt 2- \frac{12\sqrt 3}{3}}$

$\mathbf{h = 7\sqrt 2- 4\sqrt 3}$

Hence, the exact value of h is: $\mathbf{7\sqrt 2- 4\sqrt 3}$

Read more about surface areas t:

brainly.com/question/25131428

5 0

2 years ago

What is the measure of angle 1?

svp [43]

Answer:

88°

Step-by-step explanation:

Since we have 2 parallel lines, first we use the Corresponding Angles Postulate.

Since angle 2 is corresponding to the 92° angle,

angle 2 = 92°

Now we know that angle 1 and angle 2 are supplementary.

This means:

angle 1 + angle 2 = 180°

(substitute known values)

angle 1 + 92 = 180

(subtract 92 on both sides)

<h2>angle 1 = 88°</h2><h2></h2>

Hope this helps, please say thanks if it does!

3 0

2 years ago

At a sale this week, a suit is being sold for $244.20. This is 33% of the original price. What is the original price

Alecsey [184]

Answer:

$740

Step-by-step explanation:

244.20= x(.33)

244.2/.33= x(.33)/.33

740=x

4 0

3 years ago

How do you do this? Please help, I’ve been staring at this for like 10 min :)

damaskus [11]

Answer & Step-by-step explanation:

The formula is given in the middle. You are supposed to insert the value of x into this formula to find the value of y (like in the first given example):

$x=-2\\y=2(-2)+5\\y=-4+5\\y=1$

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$x=-1\\y=2(-1)+5\\y=-2+5\\y=3$

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$x=0\\y=2(0)+5\\y=0+5\\y=5$

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$x=1\\y=2(1)+5\\y=2+5\\y=7$

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$x=2\\y=2(2)+5\\y=4+5\\y=9$

:Done

3 0

3 years ago