<h3>
Answer: 9 inches (choice D)</h3>
Work Shown:
V = volume of pyramid
V = (1/3)*(area of base)*(height)
V = (1/3)*(12*10)*h
V = (1/3)*120h
V = 40h
Set this equal to the given pyramid volume 360 cubic inches and solve for h
40h = 360
h = 360/40
h = 9
Answer:
$19.94
Step-by-step explanation:
275 * 0.0725 = 19.9375, round it to 19.94
Answer:
Step-by-step explanation:
2 x 2
Dimensions of the product = No.of rows of first matrix x No. of columns of second matrix
Answer: y = -3.5x - 4.5
suppose: the equation of the line is y = ax + b ( a ≠ 0 )
because the line passes through (-2;2.5) => 2.5 = -2a + b
the line passes though (0;-4.5) => -4.5 = b
=> b = -4.5
2.5 = -2a + b
=> a = -3.5
b = -4.5
=> the equation of the line is y = -3.5x - 4.5
Step-by-step explanation:
Answer:
60 mph
Step-by-step explanation:
Given;
Total distance covered d = 440 miles
Average speed in the first 4 hours v1 = 50 mph
Total time taken for the whole trip t = 8:00 to 4:00pm
t = 16:00-8:00 = 8 hours
Firstly we need to calculate the distance covered during the first 4 hours;
d1 = average speed × time = v1 × t1
t1 = 4
d1 = 50 × 4 = 200 miles
Then we need to calculate the distance covered in the second period of the journey;
d = d1 + d2
d2 = d - d1
Substituting the values;
d2 = 440 - 200
d2 = 240 miles
The time taken for the second period of travel t2;
t2 = t -t1 = 8-4
t2 = 4 hours
Average speed = distance travelled ÷ time taken
The average speed for the second part of the trip v2 is;
v2 = d2 ÷ t2
Substituting t2 and d2;
v2 = 240 miles ÷ 4 hours
v2 = 60 mph
The average speed during the second part of the trip is 60 mph
