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3 years ago

13

You are in line at an amusement park. You count 34 people in front of you. Each roller coaster fits 11 people. How many roller c

oasters must run before you can get on? Explain.

1 answer:

ki77a [65]3 years ago

5 0

2 you will be the last person on the third roller coaster. ( 11 times 3=33 so you will be the last person)

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Area of the living room is 180 square feet and the perimeter is 54 feet. What are the dimensions in feet?

dolphi86 [110]

Answer.....15ft by 12ft

Explanation:

Area = Length × Width

180 = LW....make W the subject of formula

;W = 180/L

Perimeter = 2L + 2W

54 = 2L + 2(180/L)...sub W with the formula above...

then simplify the equation and obtain...

2L^2 - 27L + 180 = 0....then solve using the quadratic formula....then obtain..

;L = 15ft....after obtaining L = 15...then substitute into the W = 180/L equation...

where W = 180/15 = 12ft

there you have...Length = 15ft and Width = 12ft

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3 years ago

Help me with this problem

svlad2 [7]

Answer:

Angle A is F Angle A = 57. 52+71=123. 180-123=57

3 0

3 years ago

For the graphed function f(x) = -(5)* - 3 + 2, calculate the average rate of change from x = 3 to x = 4.

Ilia_Sergeevich [38]

Answer:

-4

Step-by-step explanation:

The average rate of change from x=a to x=b of f(x) is $\frac{f(b)-f(a)}{b-a}$

The given function is $f(x)=-5^{x-3}+2$ .

$f(4)=-5^{4-3}+2=-3$ .

$f(4)=-5^{3-3}+2=1$ .

The average rate of change from x=3 to x=4 is given by:

$\frac{f(4)-f(3)}{4-3}$

$\frac{-3-1}{4-3}=-4$

7 0

3 years ago

What is the measure of angle CBE?

GarryVolchara [31]

Answer:

72°

Step-by-step explanation:

180-3x=2x

5x=180

x=36

Angle CBE = 2(36) = 72

7 0

3 years ago

Please help soon! Thanks! Solve for x

spin [16.1K]

Answer:

$x=27\degree$

Step-by-step explanation:

$\because AC || DE.... (given)$

$\therefore m\angle CAD= m\angle EDF\\ (corresponding \: \angle s)$

$\therefore m\angle BAD= m\angle EDF\\(\because B\in \overleftrightarrow{AC})$

$\therefore m\angle BAD= 2x\\(\because m\angle EDF=2x)$

$In\:\triangle BAD,$

$m\angle BAD+m\angle BDA+m\angle ABD= 180\degree$

$2x+2x+72\degree = 180\degree$

$4x= 180\degree -72\degree$

$4x= 108\degree$

$x= \frac {108\degree}{4}$

$x=27\degree$

5 0

2 years ago