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3 years ago

The perimeter of rectangle is 294 cm. The width is 57 cm. Find the length.

1 answer:

4 0

The perimeter of a rectangle is length + length + width + width (also know as the distance around the whole shape) so an equation like this can be written:

294 = 57 + 57 + 2l (as in the length times two, or length + length)

294 = 114 + 2l

180 = 2l

90 = l

So the length of this rectangle is 90

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I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Step2247 [10]

Answer:

$A = 297\pi$

Step-by-step explanation:

To solve this problem we need to be familiar with the formula for the surface area of a cone:

$A = \pi r(r + \sqrt{h^2+r^2})$

We are given the length of a side and the diameter, to calculate the radius divide the diameter in half:

$r = \frac{d}{2}\\r = \frac{18}{2}\\r = 9 cm$

To calculate the height of the cone, we must use the Pythagorean Theorem:

$C^2 = A^2 + B^2$

We can treat the side length as the hypotenuse $C$ , the radius as the base $A$ , and solve for height $B$ . Set the expression up like this:

$C^2 = A^2 + B^2\\24^2 = 9^2 + B^2\\B^2 = 24^2 - 9^2\\B = \sqrt{24^2 - 9^2}\\B = \sqrt{576 - 81}\\B = \sqrt{495}\\B \approx 22.25$

Now we can plug into our original formula:

$A = \pi r(r + \sqrt{h^2+r^2})\\A = \pi 9(9+\sqrt{\sqrt{495}^2+9^2}\\A = \pi 9(9+\sqrt{495 + 81}\\A = \pi 9(9+\sqrt{576})\\A = \pi 9(9 + 24)\\A = \pi 9(33)\\A = 297\pi$

5 0

2 years ago

What is the volume of the sphere below?

lbvjy [14]

Answer:

Option C

Step-by-step explanation:

sorry if I'm wrong..

4 0

3 years ago

Find the radius of a circle if a 48-meter chord is 7 meters from the center. *

Airida [17]

Answer:

The radius of the circle is 25m

Step-by-step explanation:

Here, we are to calculate the radius of the circle.

The distance from the circle center, the half the length of the chord and the radius forms a right triangle with the radius being the hypotenuse.

We can then use Pythagoras’s theorem to approximate the value of the radius

Mathematically, the Pythagorean theorem establishes that the square of the hypotenuse = the sum of the squares of the other two sides

r^2 = 7^2 + 24^2

r^2 = 49 + 576

r^2 = 625

r = √(625)

r = 25m

5 0

3 years ago

The sum of two numbers is 40 and their difference is 6.5, what is their product? show work please

Finger [1]

Let b>a,

a+b=40 so we can say a=40-b

We are told that b-a=6.5, using a found above in the equation gives us:

b-(40-b)=6.5

b-40+b=6.5

2b-40=6.5

2b=46.5

b=23.25, and since a=40-b

a=40-23.25

a=16.75

So a=16.75 and b=23.25

check...

16.75+23.25=40, 40=40

23.25-16.75=6.5, 6.5=6.5

4 0

3 years ago

I need help please ??!!!!

Alina [70]

I'll help you!

The y intercept is simple <u>where the line touches the Y-Axis</u> (the one going up and down ↑↓)

In this case the y intercept is (+3)

7 0

3 years ago