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melamori03 [73]
3 years ago
7

An engineer is designing a roller coaster. The tallest peak is 310 feet high.

Mathematics
1 answer:
rusak2 [61]3 years ago
4 0
<h2>Hello!</h2>

The answer is:

The slope of the hill is equal to 2.

<h2>Why?</h2>

To solve the problem, we need to remember that the slope of a line, is the rate of increase or decrease of the line.

From the statement we know that the tallest peak of the roller coaster is 310 feet (y), while the roller coaster travels 155 horizontal feet (x), so, calculating we have:

Slope=\frac{height}{base}=\frac{y}{x}

Then, substituting the given information and calculating, we have:

Slope=\frac{310ft}{155ft}=2

We have that the slope of the hill is equal to 2.

Have a nice day!

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It takes 10 3/4 inches of wood to make a frame for a small photo. Ms. Jones has 3 yards of wood. How many frames can she make? H
mixas84 [53]
Answer: 10 frames

Explanation: First, find how many inches are in 3 yards. Since we know 1 yard = 36 inches, we do 36(3) and get 108. Next, we want to divide total inches of wood by inches of wood needed to make a frame. The equation is 108/10.75 and you will get 10 with a lot of decimals. Since she doesn't want to make part of a wood frame, we round down and get our final answer of 10 wood frames.
4 0
3 years ago
A player scored 92 92 points in a single professional basketball game. he made a total of 58 58 ​baskets, consisting of field go
gregori [183]

Hello,

x → field goals
y → foul shorts
x + y = 58
+( -2x + y = 92 )
--------------------------
-x + 0y = -34
x = 34
y = 58 - 34 = 24

4 0
3 years ago
A circle with a radius of 15 yards contains a sector with an area of 609 yde. Find the measure of
kondaur [170]

Answer: 310.3° or 5.41 radians.

Step-by-step explanation:

The area of a circle of radius R is calculated as:

A = pi*R^2

Now, if we have a sector of an angle θ degrees, the area of that sector is:

A = (θ/360°)*pi*R^2

In this case, we know that:

R = 15yd

And the area of the sector is 609 yd^2

Then we can replace these two values in the equation to get:

609yd^2  =(θ/360°)*3.14*(15yd)^2

(609yd^2)*360°/(3.14*(15yd)^2) = θ = 310.3°

And we want the angle also in radians.

We know that:

3.14 rad = 180°

(3.14 rad/180°) = 1

Then:

310.3° = 310.3°*(3.14 rad/180°) = (310.3°/180°)*3.14 rad = 5.41 radians.

4 0
3 years ago
Find the measure of angle B. PLZ I NEED HELP ASAP!!!!!
katrin [286]

Answer:

1)D 2)A 3)D 4)A 5)A

I hope this help but in question 6 you can report

3 0
3 years ago
It takes 18 3/8 inches of wood to make a frame for a small photo miss Jones has 3 yards of wood how many frames can she make
Mars2501 [29]
There's 3 ft in a yard.
You have 9 feet of wood.
9 ft = 108 inches
108 in./ 18.375=5.87
You can make 5 frames, .87 isn't enough to make another frame.
8 0
3 years ago
Read 2 more answers
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