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ElenaW [278]
3 years ago
11

Which equation represents a proportional situation?

Mathematics
1 answer:
ad-work [718]3 years ago
3 0
The answer is a and the it do not have y intercept
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At a recent marathon, spectators lined the street near the starting line to cheer for the runners. The crowd lined up 5 feet dee
masha68 [24]

Answer:

29568 people cheered for the runners at the start of the race

Step-by-step explanation:

From the question, the crowd lined up 5 feet deep on both sides of the street for the first mile.

This lined up crowd could be related to a rectangle that is 1 mile long and 5 feet wide.

First, Convert 1 mile to feet

1 mile = 5280 feet

Hence, the length of the rectangle is 5280 feet and the width is 5 feet.

Now, we will determine how many 5 feet by 5 feet square we can get from the 5280 feet by 5 feet rectangle. To do that, we will divide 5280 feet by 5 feet

5280 feet ÷ 5 feet = 1056

Hence, from the rectangle, we can get 1056 5 feet by 5 feet square.

From the question, you estimate that 14 people can comfortably fit in a square that measures 5 feet by 5 feet,

∴ 14 × 1056 people will comfortably fit in the crowed lined up 5 feet deep on one side of the street for the first mile.

14 × 1056 = 14784 people

This is the amount of people that will comfortably fit in the crowed lined up 5 feet deep on one side of the street for the first mile.

Since the crowd lined up on both sides of the street, then

2 × 14784 people will comfortably fit in the crowed lined up 5 feet deep on both sides of the street for the first mile

2 × 14784 = 29568 people

Hence, 29568 people cheered for the runners at the start of the race.

5 0
4 years ago
Solve on the interval [0/2pi]<br><br> 1-cos(theta) = (1/2)
Airida [17]

Answer:

Final answer is x=\frac{\pi}{3} and x=\frac{5\pi}{3}.

Step-by-step explanation:

Given equation is 1-\cos\left(\theta\right)=\frac{1}{2}

Now we need to find the solution of  1-\cos\left(\theta\right)=\frac{1}{2} in given interval [0, 2\pi ].

1-\cos\left(\theta\right)=\frac{1}{2}

-\cos\left(\theta\right)=\frac{1}{2}-1

-\cos\left(\theta\right)=-\frac{1}{2}

\cos\left(\theta\right)=\frac{1}{2}

which gives x=\frac{\pi}{3} and x=\frac{5\pi}{3} in the given interval.

Hence final answer is x=\frac{\pi}{3} and x=\frac{5\pi}{3}.

6 0
3 years ago
Name the three similar triangles correspondingly. Start with the original right triangle LMK, then the remaining two right trian
aleksandr82 [10.1K]

Answer:

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Let f(x) = x^2 and g(x) = x - 5 Find (f o g)(-2)
irina1246 [14]

Answer:

Solution,\\f(x) = x^{2}\\g(x) = x-5\\Now, \\fog(x) = f[g(x)] = f(x-5) = (x-5)^{2} \\Put~x=-2,\\fog(-2) = (-2-5)^{2} = (-7)^{2} = 49

5 0
3 years ago
Can u help me graph the line y=7
Phoenix [80]

Answer:

Put a dot on 7 on the y axis then draw a horizontal line through y=7

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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