Answer:
Sphere Volume = (4/3) * PI radius^3
Sphere Volume = (4/3) * 3 * 3 * 3 * PI =
4 * 3 * 3 * PI =
36 PI
Answer is d 36 PI cubic feet
Step-by-step explanation:
We wish to know how much faster Grant rows than Arianna.
d=G-A and we want our answer is miles/hour so
d=(6mi/36min)(60min/hr)-(3520yd/20min)(mi/1760yd)(60min/hr)
d=10mph-6mph
d=4mph
So Grant rows 4 miles per hour faster than Arianna.
Answer:

Step-by-step explanation:
Given equation of line is:
2x-3y=13
We will convert the equation of line in point-slope form to find the slope of the line
Let
m_1 be the slope of the line
So,
2x-3y=13
-3y= -2x+13
Dividing both sides by -3
(-3y)/(-3)=(-2x)/(-3)+13/(-3)
y=(2/3)x-13/3
The co-efficient of x is the slope of the line.
So,
m_1=2/3
Let
m_2 be the slope of second line
As we know that product of slopes of two perpendicular line is -1
m_1 m_2= -1
2/3*m_2= -1
m_2= -1*3/2
m_2= -3/2
So m2 is the slope of the line perpendicular to given line.
The standard equation of a line is
y=mx+b
To find the equation of line through (-6,5), put the point and slope in the given form and solve for b
5= -3/2 (-6)+b
5=18/2+b
5=9+b
b=5-9
b= -4
Putting the values of slope and b, we get

Answer:
1. 80
2. 20
3. 1080
Step-by-step explanation:
1. area= 1/2 x base x height
1/2 x 8 x 20= 80
2. first you find the rectangle which is 5x6=30
then the triangle base is 14-6=8
1/2x8x5=20
3. 12x15x6=1080