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cestrela7 [59]
3 years ago
12

Leticia is cutting a board to make a ramp for her skateboard. The ramp will slope from the ground up to a height of 4 feet. The

board will make an angle of 25° with the ground. How long should she cut the board for her ramp? *
1 point



9.46 feet long



4.41 feet long



8.58 feet long



10 feet long
Mathematics
1 answer:
otez555 [7]3 years ago
8 0

Answer:

Correct option: first one -> 9.46 feet long

Step-by-step explanation:

To find the length of the board for her ramp, we just need to use the sine relation of its angle with the ground.

The opposite side to the angle is the height of the ramp, and the hypotenuse of the triangle formed is the length of the board. So, we have that:

sin(25°) = height / length

0.4226 = 4 / length

length = 4 / 0.4226

length = 9.4652 feet

So the length of the board should be 9.46 feet (correct option: first one)

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morpeh [17]
I think the answer is that they are parallel
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Steve saw 313 birds during a bird-watching trip to Yellowstone National park. He observes 15 more trumpeter swans than sandhill
Bogdan [553]

Answer:

15 bbb

Step-by-step explanation:

you add them to 8

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5 0
2 years ago
Please help me please help me
Anon25 [30]

Answer:

AM=26

Step-by-step explanation:

Since M is the midpoint of the number line, this means that each side is equal to each other. The midpoint evenly splits it up in half, and since each side is equal that means we can set up an equation making x+20 and 5x-4 the same value.

x+20 = 5x-4

Now you simply carry over, so that x is all by itself. I carried the -4 to the other side first. To carry it over you have to add 4 on both sides, leaving this:

x+24=5x

Then I carried the x to the other side by subtracting -x (or if it helps, imagine an invisible one next to the x so it would be -1x) on both sides.

This gives me: 24=4x

Now that all the x's are by themelves, we can divide 24 by 4 to get our x value:

6=x

Now all we need to do is plug that in for the length of AM:

6+20, which equals our final answer 26

I hope you found this helpful :)

5 0
2 years ago
A trough is 12 ft long and its ends have the shape of isosceles triangles that are 3 ft across at the top and have a height of 1
V125BC [204]

Answer:

\frac{dh}{dt}=0.5ft

Step-by-step explanation:

From the question we are told that:

Length l=12

Top length l_t=3ft

Height h=1ft

Rate R=14 ft3/min

Water rise w=4

Generally the equation for Velocity is mathematically given by

V=frac{1}{2}wh'(l)\\\\V=frac{1}{2}wh'(12)

V=18h'^2

Therefore

R=18(2h)(\frac{dh}{dt})

Where

h=\frac{3}{4}

Therefore

\frac{dh}{dt}=\frac{R}{18(2h)}

\frac{dh}{dt}=\frac{14}{18(2.3/4)}

\frac{dh}{dt}=0.5ft

8 0
3 years ago
Write the number 9.359 × 105 in standard form.
Rama09 [41]

Answer:

982.695

Step-by-step explanation:

9.359 x 105 = 982.695

6 0
3 years ago
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