We know that
[length of a circumference]=2*pi*r
diameter=10 cm
r=10/2-----> 5 cm
[length of a circumference]=2*pi*5-----> 10*pi cm
if 360° (full circle) has a length of -----------> 10*pi cm
X°---------------------------> pi cm
X=pi*360/10*pi------> 36°
the answer is 36°
The area of a square is
s • s
We can also write this as
s^2
So, for any side length “s”, we can make a function, A(s), such that
A(s) = s^2
Now that we have a quadratic equation for the area of a square, let’s go ahead and solve for the side lengths of a square with a given area. In this case, 225 in^2
225 = s^2
Therefore,
s = sqrt(225)
s = 15
So, the dimensions are 15 x 15 in
Answer:
The function is y = 40 * 2^(x/2)
The graph is in the image attached
Step-by-step explanation:
The function that models this growth is an exponencial function, that can be described with the following equation:
y = a * b^(x/n)
Where a is the inicial value, b is the rate of growth, x is the time and n is the relation between the time and the rate (the rate occurs for every two hours, so n = 2).
Then, using a = 40, r = 2 and n = 2, we have:
y = 40 * 2^(x/2)
If we plot this function, we have the graph shown in the image attached,
It is an exponencial graph, where the value of y increases very fast in relation to the increase of x.
Answer: B. 140 cubic inches.
Step-by-step explanation:
The question is asking you to find the volume of the rectangular prism.
You can find this by using this formula:

Where w is the width, h is the height, and l is the length.
Substitute the sides of the rectangular prism into the equation:

The volume of the prism is 140 cubic inches.
The correct answer is B.
Answer:
To convert larger units to smaller units, multiply. When the units are smaller, you need more of them to express the same measure. To convert smaller units to larger units, divide. When the units are larger, you need fewer of them to express the same measure.
Multiply to convert larger units to smaller units.
Divide to convert smaller units to larger units.
When the units are smaller, you need more of them to express the same measure.
When the units are larger, you need fewer of them to express the same measure.