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ozzi
3 years ago
11

The distance from the center of a Ferris Wheel to a person who is riding is 25 feet. What Distance does a person travel if the F

erris wheel rotates through an angle of 4.1 radians? Round your answer to nearest tenth of a foot
Mathematics
1 answer:
inysia [295]3 years ago
4 0

Answer:

322.0 ft

Step-by-step explanation:

d = ∅r

d = 4.1 π * 25

d = 322.013246993

Rounded

322.0 ft

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In parallelogram LMNO, what is the measure of angle N?<br><br> 50°<br> 70°<br> 110°<br> 130°
belka [17]

we know that

In a parallelogram opposite angles are congruent and consecutive angles are supplementary.

So

m∠O=m∠M

m∠L=m∠N

m∠O+m∠L=180

Step 1

Find the value of x

(x+20)+(2x+10)=180\\ 3x+30=180\\ 3x=180-30\\ x=\frac{150}{3} \\ \\ x=50\ degrees

Step 2

Find the value of angle L

m∠L=(2x+10)

m∠L=(2*50+10)

m∠L=110\ degrees

Remember that

m∠N=m∠L

m∠N=110\ degrees

therefore

the answer is

the measure of the angle N is equal to 110\ degrees





4 0
2 years ago
Read 2 more answers
Scott grades 15 papers every 15 minutes. how many papers can scott grade in 130 mintues? round to the nearest tenth?​
Alja [10]

Answer:

130 papers.

Step-by-step explanation:

1 min per paper therefore 130 mins = 130 papers

:)

7 0
2 years ago
Read 2 more answers
A pilot can travel for 140 miles with the wind in the same amount of time as 360 miles against the wind. Find the speed of the w
quester [9]

Answer:

  -88 mph

Step-by-step explanation:

We can use the relation ...

  time = distance/speed

to compare the times in the two directions.

  \dfrac{140}{200+w}=\dfrac{360}{200-w}\\\\140(200-w)=360(200+w)\\\\200(140-360)=w(360+140)\\\\w=\dfrac{200(-220)}{500}=-88 \quad\text{miles per hour}

The wind speed is -88 miles per hour.

_____

The problem statement tells us the travel is slower <em>with</em> the wind than <em>against</em> the wind. Hence "with the wind" must be subtracting from the net speed. That is, the wind speed is negative.

4 0
3 years ago
Maria and Josie went to the movies and spent $3.75 altogether on snacks. Let t = the price of a movie ticket. Write an expressio
nydimaria [60]
From the question we know that Maria and Josie went to the movies and spent a total amount of money, which should be the price of the tickets added to the price of the snacks.

Knowing that the price of the snacks is $3.75 and the price of the tickets is t, it looks like all that is left is to assign a variable to the total amount of maney they spent at the movies and write out the equation.

If we let the total amount of money they spent be x, then x= t+3.75, whcih should be your answer!
6 0
3 years ago
A 12 ft ladder leans against the side of a house. The top of the ladder is 10ft off the ground. Find x, the angle of elevation o
attashe74 [19]

The image is missing, so i have attached it.

Answer:

x = 56.44°

Step-by-step explanation:

From the attached image, we can see that this is a right angle triangle which has opposite, adjacent and hypotenuse as sides. Since we want to find the angle x, thus, we can make use of trigonometric ratios.

From the attached image, the side opposite to angle x is 10ft and the hypotenuse is 12 ft.

From trigonometric ratios, we know that, sin x = opposite/hypotenuse

So, sin x = 10/12

x = sin^(-1) (10/12)

x = sin^(-1) 0.8333

x = 56.44°

6 0
3 years ago
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