Find the approximate radius of a sphere with a surface area of 400 square inches.

Answers

Answer 1

Answer: The equation for surface area of a sphere is SA=4*pi*r^2
We can plug in what we know to solve for r
400=4*pi*r^2
100=pi*r^2 (divide out the 4)
100/pi=r^2 (divide out the pi)
√(100/pi)=r (square root of both sides)
r=5.6 rounded to the nearest tenth

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One number is 1 more than 4 times another. Their product is 18. What are the numbers?

Answers

The numbers are 9 and 2.

One number is 1 more than 4 times another.
2 x 4 = 8
8 + 1 = 9

Their product is 18.
9 x 2 = 18

Usually, with this type of problem, it's easiest just to use trial and error. Go through the factors of 18, and eventually you'll find a pair that fits the given criteria.

What is the absolute value of -22

Answers

The absolute value of -22 is 22
We write that like this:
|-22|=22

Hey there

The absolute value of -22 is 22

When converting cotangent+5 into cos/sin do you do what I did and bring the 5 with them or do you do cos/sin +5?

Answers

(cosx/sinx) + 5 =(cosx + 5sinx)/sinx;

Find the coordinates of the vertices of the triangle after a reflection across the line x= -1 and then across the line y = 1.F(-2,-3), G(-3,2), H(1,-1)

Answers

Answer:

a. F'(0, 5), G'(1, 0), H'(-3, 3)

Step-by-step explanation:

Reflection across x = -1 gives you the transformation ...

(x, y) ⇒ (-2 -x, y)

Reflection across y = 1 gives you the transformation ...

(x, y) ⇒ (x, 2 -y)

Together, these give you the transformation ...

(x, y) ⇒ (-2 -x, 2 -y)

Applying this to point F, we have ...

F(-2, -3) ⇒ F'(-2 -(-2), 2 -(-3)) = F'(0, 5) . . . . . . matches choice A

_____

How we found the transformation

In general, if M is the midpoint between A and B, then you have ...

M = (A+B)/2

2M = A+B

B = 2M - A

So, if we want x=-1 to be the midpoint between x' and x, then we have ...

x' = 2(-1) -x = -2 -x

Likewise, if we want y=1 to be the midpoint between y' and y, then we have ...

y' = 2(1) -y = 2 -y

So, the transformation is ...

(x, y) ⇒ (x', y') = (-2 -x, 2 -y)

the ratio 1mm represents 1cm is the same as 1:10 complete the following the ratio 1cm represents 1km is the same ratio as 1:

Answers

Answer: 1:100

Explanation: If 1cm is 10 and there is 1mm for every 10cm, and the unit that is after centi- is kilo- then all you’d have to do is put another zero.

Final answer:

Given that 1 km is equal to 100000 cm, the ratio of "1 cm represents 1 km" is identical to the ratio of "1:100000."

Explanation:

The ratio in the question has been adjusted from millimeters to centimeters and is presently being altered from centimeters to kilometers. In light of the fact that 1 centimeter is equal to 0.00001 kilometers, the original ratio of 1cm:1km can be restated as 1:100000. In other words, 1cm represents 1km is the same ratio as 1:100000. This is a demonstration of how units of measure can impact ratios and proportions in mathematics.

Learn more about Ratios and Proportions here:

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5q+4 -11/2= 2q + 3/2(2q-1)

Answers

Answer:

Interval Notation:

(−∞,∞)

Step-by-step explanation:

Any value of q makes the equation true.

Hope this helps :)

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