Find x. Round to the nearest tenth if necessary.a 4 b 5 c 6 d 3

A pendant is formed using a cylinder and cone. Once assembled, as shown below, the pendant is painted. How many square millimete

solmaris [256]

Surface area of cylinder is given by area of circle + area of the rectangle that curved around the cylinder

Area of the base of the cylinder = $\pi r^{2} = 8^{2} \pi =64 \pi$
Area of the cylinder 'wall' = width × length = $12$ × $2r \pi$ = $12$ × $16 \pi$ = $192 \pi$

Note that the wall of the cylinder is in the shape of a rectangle. The width of the rectangle is the height of the cylinder. The length of the rectangle is the circumference of the circle base.

Surface area of cone is given by $\pirl$ where $l$ is the slanted height of the cone

SA of cone = $\pi (8)(10)=80 \pi$

Hence total painted surface area is $80 \pi +192 \pi +64 \pi =336 \pi$

3 0

3 years ago

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What’s the missing factor?

Vesna [10]

The missing factor is 1 5/8

Step-by-step explanation:

Let us consider the missing factor has 'x'

The given expression is 4 1/2 - x = 2 7/8

To find x :

The first step is to bring all the constant terms on on side and x on the other side,

⇒ 4 1/2 - 2 7/8 = x

Now, the numbers are in improper fraction (mixed fraction). So you have to convert them into proper fraction.

To convert the improper fraction 4 1/2 into proper fraction,

Multiply the denominator 2 with 4 and the result 8 is added with the numerator 1.

⇒ 4 1/2 = 9/2.

To convert the improper fraction 2 7/8 into proper fraction,

Multiply the denominator 8 with 2 and the result 16 is added with the numerator 7.

⇒ 2 7/8 = 23/8.

Now replace them in the given expression. The expression becomes as :

⇒ (9/2) - (23/8) = x

Cross multiply 2 and 8,

⇒ (72 - 46) / 16 = x

⇒ 26 / 16 = x

⇒ 13/8 = x

The x value is 13/8. You have to convert it into mixed fraction (since the question is given in the form of mixed fraction).

To convert into mixed fraction,

Divide 13 by 8 and write them in the form of Quotient (Reminder / Divisor).

⇒ 13 ÷ 8

⇒ 1 (quotient)

⇒ 5 (remainder)

The divisor is 8.

Therefore, x = 13/8 can be written as 1 5/8.

The missing factor is 1 5/8.

8 0

3 years ago

What is 75-5(2x6) ?

otez555 [7]

75-5(2×6) 75-5×12× -60×+75

3 0

3 years ago

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What is the volume of a rectangular prism that is 16 meters by 25 meters by 37 meters?

ElenaW [278]

Answer:

14,800

Step-by-step explanation:

To find the volume of an object, simply multiply its hight, length, and width together.

16*25*37

16*25=400

400*37=14,800

The rectangular prism has a volume of 14,800.

Hope this helps!

4 0

3 years ago

I need to know the answer

grandymaker [24]

Answer: $f(x)=-(x-5)^{2}(x+2)$

Step-by-step explanation:

There is a double root at x=5 and a single root at x=-2, so we know f(x) is of the form $f(x)=a(x-5)^{2}(x+2)$ for some constant a.

To find a, we can substitute the coordinates of the y-intercept, (0, -50).

$-50=a(0-5)^{2}(0+2)\\\\-50=50a\\\\a=-1$

So, $f(x)=-(x-5)^{2}(x+2)$

3 0

1 year ago