Answer:
100
Step-by-step explanation:
The function takes in an X value and produces a Y value.
The Y value equals 24 times the X value plus 4 more.
This means that:
Y = 24X + 4
When the X value equals 4, the Y value will be:
Y = 24(4) + 4
Y = 96 + 4
Y = 100
When the X value is 4, the Y value is 100.
Let
x---------> represent the number of miles Troy's has driven
y--------> represent the amount of gas in Troy's truck
we know that
the equation that represents the amount of gas, y, in troy' s truck after driving a certain number of miles, x is

where
m is the slope---------> 
in this problem the slope is equal to 
it's negative because the tank is going to be consumed
assuming he starts with a full tank

substitute in the formula above

therefore
the answer is
the equation 
<u>The given options are:</u>
(A)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.
(B)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the circumference of the circle will yield the area of the sector.
(C)the central angle measure of the sector multiplied by the area of the circle will yield the area of the sector.
(D)the central angle measure of the sector multiplied by the circumference of the circle will yield the area of the sector.
Answer:
(A)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.
Step-by-step explanation:
The area of the shaded sector can be determined using the formula:



Therefore, the formula is:

Therefore, the formula is best explained by Option A.
Answer: A diameter goes straight across the circle and passes through the center point (point M). A radius stops at the center point, making the line go halfway across the circle (basically half the diameter). A chord goes across the circle, but does not go through the center point. Therefore, the answer is C, because it does not go through the center point.
Answer:
The width of the prism is 2 cm
Step-by-step explanation:
The given parameters are;
The volume of the prism = 170 cm³
The length of the prism = 5 cm
The height of the prism = 17 cm
The volume of the prism is given by the relationship v = Length, l × Height, h × Width, w
Therefore;
The volume of the prism = 5 cm × 17 cm × w = 170 cm³
Which gives;
w = 170 cm³/(5 cm × 17 cm) = 170 cm³/(85 cm) = 2 cm
∴ The width of the prism = 2 cm.