The pyramid shown has a square base that is 32 32 centimeters on each side. The slant height is 24 24 centimeters. What is the lateral surface area?

Answers

Answer 1

Answer: The answer is 3072 cm².

Lateral surface area of a pyramid can be expressed as:
L = P × l
where:
L - Lateral surface area
P - Perimeter of a base
l - slant height

We have:
L = ?
P = ?
l = 24 cm
a = 32 cm

Perimeter of a base which is a square is:
P = 4 × a
P = 4 × 32 cm
P = 128 cm

Thus,
L = P × l
L = 128 cm × 24 cm
L = 3072 cm²

Therefore, the lateral surface area is 3072 cm².

Answer 2

Answer:

Answer:

1536

Step-by-step explanation:

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In playing from the tee, a golfer hooks his drive (hits the ball to the left of the correct direction) at an angle of 24 from the intended direction. He estimates that he has driven the ball 215 yards and that it lies 100 yards from the hole. Assuming his estimates are correct, what is the distance from the tee to the hole, to the nearest yard?

Answers

Answer:

245 yards

Step-by-step explanation:

You could say the tee is at (0, 0) and the hole lies on the x-axis.

The path of the ball is the straight-line so, y = tan(24°)x

215cos(24°) = 196.4

215sin(24°) = 87.4

The ball lands at coordinates (196.4, 87.4).

They say the ball lands 100 yards from the hole, the hole is on a circle of radius 100 that is centered at (196.4, 87.4).

Equation of the circle:

(x-196.4)² + (y-87.4)² = 100²

Since the hole is on the x-axis, it lies at the intersection of the circle and the line y = 0 so:

(x - 196.4)² + (0 - 87.4)² = 100²

x = 244.92

The distance between tee and hole is 245 yards.

Answer:

245 yards

Step-by-step explanation:

Eileen and michelle scored 48% of their teams points. If their team had a total of 50 points , how many points did they score?Explain.

Answers

To find how much is 48% of 50:

(48 x 50) / 100
2,400 / 100
24 goals where scored by Eileen.

Hope it helped,

Happy homework/ study/ exam!

24 goals is the correct answer

during the 2008 - 2009 season there were 801372 people who attended the home hockey games in Philadelphia there were 609907 people who attended the home hockey games in Phoenix how much greater was the home attendance in Philadelphia than in Phoenix that season?