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hichkok12 [17]
3 years ago
7

What is the slope of the line that passes through the points (5, -11)and (-9, 17)

Mathematics
1 answer:
Mariulka [41]3 years ago
7 0

Answer:

(17+11)/(-9-5)= 28/-14= -2 is the slope

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A regular pentagonal prism has a volume of 2,850 cubic millimeters. what is the height of the prism? a regular pentagonal prism
zlopas [31]

Answer:

Height = 19mm.

Step-by-step explanation:

Area of a regular polygon =  (A * P) / 2 where A = side / (2 * Tan (π / N)) where, N = Number of sides, A = Apothem,  P = Perimeter.

Here A = 5, P = 5*12 = 60 so

Area  of the base  = (5 * 60) / 2 = 150 mm^2.

Volume = area base * height so

Height = volume / area of base

            = 2850 / 150

            = 19 mm.

5 0
1 year ago
Marcus hired a car service to drive him to the airport. The bill came to $56.80. He gave the driver a 20% tip. How much money di
aleksandr82 [10.1K]
He gave the driver a tip of $11.36

58.80*0.20 = 11.36
4 0
3 years ago
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What are the coordinates of the midpoint of the line segment with endpoints (2,5) and (8,3)
dezoksy [38]

Answer: I think 4.4 and not sure

Step-by-step explanation:

4 0
2 years ago
An indoor sport exhibition is coming to the arena. Your supervisor has asked you to help set up a handball pitch and seating are
Sphinxa [80]

Answer:

Perimeter: 174.8 m

Area: 1,394 sq m

Step-by-step explanation:

First, the perimeter.

Before we start, let's calculate the circumference of the half-circles at the ends of the field.

The measurement says 2,000 cm, so let's convert it to 20 m for ease.

Circumference of a circle: πd, where d = diameter.. in our case d = 20 m

Circumference of a 20m diameter circle: 20π = 62.8 m

We have 2 half circles... so the perimeter of each half-circle will be: 31.4 m

We also have 800 cm measurement for the "height" of the seating areas... let's convert that in 8 m

We also need to find out the space between the seating area...  We know the whole rectangular pitch is 40 m, then we have to subtract the width of both seating areas (20 and 15 m)... so the space between them is 5m

So, starting with the upper left corner of the rectangular pitch, and working our way clockwise, we encounter the following lengths:

P = 40 + 31.4 + 8 + 10 + 8 + 5 + 8 + 25 + 8 + 31.4 = 174.8 m

The total perimeter is then of 174.8 m

For the area, we need to calculate the area of all forms:

Large rectangular pitch:

LR = 40 x 20 = 800 sq m

The two half circles, form a circle, so A = πr², where r is the radius, which is half the diameter.

AC = π (10)² = 100 π = 314 sq m

Then the seating areas:

SA1 = 25 x 8 = 200 sq m

SA2 = 10 x 8 - 80 sq m

Then, we add up everything:

TA = LR + AC + SA1 + SA2

TA = 800 + 314 + 200 + 80 = 1,394 sq m

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3 years ago
a pet store has 2 kittens. one kitten weighs 15/16 pounds. the other kitten weighs 12/16 pounds. what is the difference of the w
Lostsunrise [7]
Subtract 15/16 and 12/16 to get 3/16
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