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3 years ago

The sum of the measures of the interior angles of a convex pentagon

Mathematics

1 answer:

ipn [44]3 years ago

7 0

Answer:

for any pentagon the interior angles add up to n-2 times 180 degrees.

n-2

180(n)

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After grabbing some food from the cafeteria, Ray trips causing his food to go up in the air before hitting the ground. The parab

Dahasolnce [82]

The maximum height of the tray is 1.8 meters and the tray is in the air for 2 seconds

<h3>The maximum height of the tray</h3>

The distorted information (i.e. the function) in the question is:

h(t) = -0.2t^2 + 0.4t + 1.6

Differentiate the function

h'(t) = -0.4t + 0.4

Set to 0

-0.4t + 0.4 = 0

Subtract 0.4 from both sides

-0.4t = -0.4

Divide by -0.4

t = 1

Substitute t = 1 in h(t) = -0.2t^2 + 0.4t + 1.6

h(1) = -0.2(1)^2 + 0.4(1) + 1.6

Evaluate

h(1) = 1.8

Hence, the maximum height of the tray is 1.8 meters

<h3>Time spent in the air</h3>

In (a), we have:

t = 1

This represents the time to reach the maximum height.

The time spent in the air is:

T = 2t

This gives

T = 2 * 1

T = 2

Hence, the tray is in the air for 2 seconds

Read more about quadratic functions at:

brainly.com/question/11535666

#SPJ1

7 0

1 year ago

1. If f(x)=4*, then which of the following is the value of f(-2)?

LenKa [72]

Answer:

what is the following

Step-by-step explanation:

5 0

2 years ago

A movie rental kiosk charges a $25 membership fee and $3 per movie. An online movie service charges a $20 membership fee and $4

mylen [45]

25+3m=20+4m
25=20+m
5=m

7 0

3 years ago

Trash Cans: Elliot's family has a cylinder shaped trash can. It takes the family a few days to fill the trash can up. Elliot wan

Elza [17]

The volume of cylinder shaped trash can is 4698 cubic inches, if the trash can has a height of 24.90 inches and a diameter of 15.50 inches.

Step-by-step explanation:

The given is,

Trash can has a height of 24.90 inches

Diameter of 15.50 inches

Step:1

Formula to calculate the volume of cylinder,

$Volume, V = \pi r^{2} h$ .............................(1)

Where, r - radius of cylinder

h - Height of cylinder

From given,

h - 24.90 inches

D - 15.50 inches

Diameter to radius conversion,

$Radius, r = \frac{d}{2}$

$= \frac{15.50}{2}$

r = 7.75 inches

Equation (1) becomes,

$V = \pi (7.75^{2} )(24.90)$

$= \pi (60.0625)(24.90)$

$=\pi (1495.556)$

$=(3.1416) (1495.556)$ (∵ $\pi = 3.1416$ )

= 4698.42

≅ 4698 cubic inches

Volume of trash can, V = 4698 cubic inches

Result:

The volume of cylinder shaped trash can is 4698 cubic inches, if the trash can has a height of 24.90 inches and a diameter of 15.50 inches.

6 0

3 years ago

Write an expression to show how many meters are equivalent to x centimeters

S_A_V [24]

1 meter is 100 centimeters so...

x meters are equal to 100x centimeters

8 0

3 years ago

Read 2 more answers