Answer:
The volume of the cone is;
100 π inches^3
Step-by-step explanation:
To calculate the volume, we need the height
We can get the height from the slant height and the radius
Mathematically, we use Pythagoras’ theorem for this as the slant height, the radius and the height forms a right-angled triangle
The right-angled triangle has the slant height as its hypotenuse
By the theorem, the square of the hypotenuse equals the sum of the squares of the two other sides
Let the height be h
Thus;
12^2 = 5^2 + h^2
169= 25 + h^2
h^2 = 169-25
h^2 = 144
h = √1144 inches = 12 inches
The volume of the cone is;
1/3 * π * r^2 * h
= 1/3 * π * 5^2 * 12
= 100 π inches^3
Answer:
B
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 
, thus
y = x + c ← is the partial equation
To find c substitute (- 4, - 9) into the partial equation
- 9 = - 2 + c ⇒ c = - 9 + 2 = - 7
y = x - 7 ← equation of line
Corrine earns an hourly wage on top of her weekly gas allowance for her delivery job.
Her weekly earnings can be expressed as:
Earnings = 40 + 7.50h
When h=0, her earnings will be 40
This constant represents, the fixed gas allowance she is receiving for her delivery job. 7.50h represents that she get paid $7.50 for an hour of work.
So, the constant term in the expression represent her weekly gas allowance.
Answer:
5v + 32y = 350
Step-by-step explanation:
Let, the year counting starts in 2011 and represented by y.
So, the share of ABC stock value was $70 at y = 0. And in the year 2016 i.e. y = (2016 - 2011) = 5, the share worth $38.
If there is a linear relationship between the number of years since 2011 i.e. y and the value of the share of ABC stock i.e. v, then we can write the equation of this situation as
⇒ 5v - 350 = - 32y
⇒ 5v + 32y = 350 (Answer)
Answer:
Step-by-step explanation:
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