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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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Find the distance between (1,0) and (9, 15).<br> Distance =
Mnenie [13.5K]

Answer:

d = 17

Step-by-step explanation:

d = √ (9 − 1) 2 + (15− 0)^2

d = √ (8) ^2 + (15) ^2

d = √ 64 + 225

d = √289

d = 17

6 0
3 years ago
1. The Alabama state flag is white and has two diagonal red stripes. If the m&lt;1 = 135°, what is
MaRussiya [10]

Using the supplementary angles theorem, it is found that the measure of the second angle is of m<2 = 45º.

<h3>What are supplementary angles?</h3>

Two angles are supplementary when the <u>sum of their measures is of 180º</u>.

The Alabama state flag has <u>two lines opposite by the same vertex</u>, hence two angles that are sided are supplementary, hence:

m<1 + m<2 = 180º.

135º + m<2 = 180º.

m<2 = 45º.

The measure of the second angle is of m<2 = 45º.

More can be learned about supplementary angles at brainly.com/question/12919120

#SPJ1

8 0
2 years ago
At a pet store, it costs $5 to wash a cat and $7.50 to wash a dog. Last week, the store made $60 dollars from washing cats and d
Thepotemich [5.8K]
D = number of dogs washed
c = number of cats washed

d = (60 - 5c) / 7.50
The 7.50 should be underneath the brackets 
7 0
3 years ago
luna ray has 1 orange pick for every 2 green picks.How manu green picks does luna have if she has 12 total picks
Bess [88]
This is how you do it!

So, There is a ratio of 1:2 for the orange to green.
This means that e can write an equation like this:

Let x be the orange picks

x + 2x = 12
3x = 12
x = 4

This means that there are 4 orange picks, and also 8 green picks

Now we can check that by simplifying the ratio --> 4:8 = 1:2

Therefore, your answer would be 8 green picks

Hope this helped!
3 0
3 years ago
Read 2 more answers
What is the equation of the line that has a y-intercept of 5 and is parallel to
victus00 [196]

Answer:

A) 2x + 5

Step-by-step explanation:

First, turn 2x - y = 16 into 2x - 16 = y by adding the <em>y</em> on both sides and subtracting 16 from both sides.

You'll see that option A is the only option that matches the original function that we're comparing to.

Graphs will always be parallel to each other if they have the same slope, and both these functions have the same slope of 2.

7 0
3 years ago
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