Here’s the correct answer and how I got it :)
Answer: The answer is 2,713 in³
The volume (V) of the prop is the sum of the volume of cone (V1) and half of the volume of the sphere (V2): V = V1 + 1/2 * V2
Volume of the cone is:
V1 = π r² h / 3
According to the image,
h = 14 in
r = 9 in
and
π = 3.14
V1 = 3.14 * 9² * 14 / 3 = 1,186.92 in³
The volume of the sphere is:
V2 = π r³ * 4/3
According to the image,
r = 9 in
and
π = 3.14
V2 = 3.14 * 9³ * 4/3 = 3,052.08 in³
The volume of the prop is:
V = V1 + 1/2 * V2
V = 1,186.92 in³ + 1/2 * 3,052.08 in³
V = 1,186.92 in³ + 1,526.04 in³
V = 2,712.96 in³ ≈ 2,713 in³
Answer:
no solution
Step-by-step explanation:
hello
we replace y = -2x + 5 in the second expression and it comes
2x + -2x + 5 = -1
<=> 5 = -1
this is always false so there is no solution
hope this helps
Sin24°=x/9. multiply 9 by both sides and x=3.7
Step 1
<u>Find the slope of the line PQ</u>
we know that
the formula to calculate the slope between two points is equal to
we have
substitute the values
Step 2
Find the equation of the line that passes through point R ans is parallel to line PQ
we know that
If two lines are parallel, then their slopes are the same
The equation of the line into point-slope form is equal to
we have
substitute the values
Step 3
we know that
The point on the y-axis that is on the line is equal to the y-intercept of the line
The y-intercept is the value of y when the value of x is equal to zero
so
For find the value of y in the linear equation
The point that is on the y-axis is
therefore
<u>the answer is the option A</u>
see the attached figure to better understand the problem