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

Answers

Answer 1

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)


Related Questions

please write a function for the points (1/3,0) (-2 3/4,0) and (0,-5) and explain the steps.
thank you!

Answers

The function for the points are  y = -15x - 5

How to determine the function

From the information given, we have that;

The points are;

(1/3,0) (-2 3/4,0) and (0,-5)

Using the point-slope form of a linear equation, we have;

y - y₁ = m(x - x₁)

Such that;

m is the slope of the liney - y₁ and (x - x₁) are the points

Using (1/3, 0) and (0, -5), we have that the slope is;

m = (0 - (-5))/0 -1/3)

expand the bracket

= 5 / (-1/3)

= -15

Now, take any of the given points and substitute the values

Using (1/3, 0), we get;

y - 0 = -15(x - 1/3).

y = -15x - 5.

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The function for the points solved by  (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)

We have given the points:

(1/3,0) (-2 3/4,0) and (0,-5)

Using the formula of linear equation

\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)                                                          

Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)

that is 1/3 = \(a\), 0 = \(a_{1}\) and

0 = \(b\), -5 = \(b_{1}\)

\(x\) refers to the slope of line (take any variable)

Now for finding the value of \(x\),

\(x=a-a_{1}/b-b_{1}\)

inserting the values,

\(x=[0-[-5]]/[0-1/3]\\x= -15\)

Substitute the value of \(x\) in the equation

\(a-0=-15[b-1/3]\)

By simplifying the equation, we get

\(a=-15b-5\)

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I have 60% on my iPad and my brother has 90% on his how much more percentage I need as a fraction.

Answers

Answer:

1/3

Step-by-step explanation:

just convert it?

3/10

Step-by-step explanation:

60% is the same as 60/100

90% is the same as 90/100

90-60=30

30/100

30/100 is divided by 10 on each side to simplify it to 3/10

What is 68/4+3- -3 help

Answers

Answer:

The answer is 23

Step-by-step explanation:

First, you need to divide 68 and 4, which will give you 17. Then, add 3. which will give you 20. Then add negative 3 and you should get 23.

Thank me later :)

Answer: 23

Step-by-step explanation: This is because 68 divided by 4 is 17 plus 3 which is 20 and the two negatives make the other 3 positive so add three  and you get 23.

The line plots below show the number of students in each of Andre’s and Mandy’s classes at school. Approximately how many times larger is the difference between the means of the number of students in Andre’s and Mandy’s classes compared to the range?

The line plots below show the number of students in each of Andres and Mandys classes at school. Approximately

Answers

Answer:

the answer is 5.0

Step-by-step explanation:

The difference between the means of the Andre's and Mandy's classes are 1.42. \(X_{AM}=1.42X_{MM}\)

What is mean?

The "mean" is the "average" you're used to, where you add up all the numbers and then divide by the number of numbers.

From the data given we will calculate the mean of andres's class students and mandy's class students.

For Andre's

\(X_{AM}=\dfrac{20+21+22+23+25}{5}=22.5\)

For Mandy

\(X_{MM}=\dfrac{14+15+15+16+19}{5}=15.8\)

So here we will compare the means

\(\dfrac{X_{AM}}{X_{MM}}=\dfrac{22.5}{15.8}=1.42\)

\(X_{AM}=1.42X_{MM}\)

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estimate the value Square Root 48 to your best judegment and explain why.

Answers

Answer:

Step-by-step explanation:

Square Root of 48: √48 = 6.928Square of 48: 482 = 2304

Answer:

6.8 or 6.9 (Estimation).

Step-by-step explanation:

The number 48 is not a perfect square. Using the approximation approach, we can get the square root of 48. We may utilize the long division approach to get an exact result. We discover square numbers close to 48 using the approximation approach. We can see that 36 and 49 are perfect square numbers that are close to 48. 36 has a square root of 6 while 49 has a square root of 7. As a result, the square root of 48 must be between 6 and 7, and preferably closer to 7 because 48 is closer to 49. This approach simply provides an approximation. We may use the long division approach to determine a more precise decimal number for 48.

Can someone please help me with this problem..and explain it. Don't mind the numbers and dots i'm pretty sure they're wrong

Can someone please help me with this problem..and explain it. Don't mind the numbers and dots i'm pretty

Answers

Answer:

59°

Step-by-step explanation:

The maximum temperature is just the y-coordinate of the uppermost point on the graph, which is (6 hr, 59°). Hence, it is 59°.

The answer is 59 …. Anymore questions?

Find the amount paid for the loan $4800 at 9.9% for 4 years. Note: The answer must be $8500. PLEASE SHOW YOUR WORK!!!!!

Answers

$8500.

is the answer to your question

$8500
99% x $4800
9.9/100 x $4800
0.099 x $4800
= $8500

a. How many non-degenerate scalene triangles with integer sides have a

perimeter of 27?


b. A square is inscribed in an equilateral triangle of side length 2 so that

two adjacent corners of the square lie on two sides of the triangle, and

the third side of the triangle contains one side of the square. The area of

the region inside the triangle and outside the square can be expressed as

a√b − c. What is a + b + c?

Answers

Answer:

Hello,

a)18

Step-by-step explanation:

\(p=27, int[p/2]=13\\\\\begin{array}{c|c|c|c|c}a&p-a&b&c\\---&---&---&---\\1&26&13&13\\2&25&12&13\\3&24&12&12\\4&23&10&13\\&&11&12\\5&22&9&13\\&&10&12\\&&11&11\\6&21&8&13\\&&9&12\\&&10&11\\7&20&7&13\\&&8&12\\&&9&11\\&&10&10\\8&19&8&11\\&&9&10\\9&18&9&9\\---&---&---&---\\\end{array}\)

number of triangle=18

b)

Side of the equilateral triangle =2

Height=√3 (using Pythagorean's theorem) (tr ACP)

Triangle ABJ has the same area as the triangle ABC

Uisng Thalès's theorem,

\(\dfrac{2-v}{2}=\dfrac{v}{\sqrt{3} } \\\\\\v=\dfrac{2\sqrt{3} }{2+\sqrt{3} } \\\\\\v=\dfrac{2\sqrt{3}*(2-\sqrt{3}) }{1} } \\\\v=4\sqrt{3}-6\\\\v^2=84-48\sqrt{3} \\Area =a\sqrt{b}-c= \sqrt{3} -(84-48\sqrt{3} )=49\sqrt{3} -84\approx{0,87049...}\\\\So:\\b=3\\a=49\\c=84\\\\a+b+c=3+49+84=136\\\)

a. How many non-degenerate scalene triangles with integer sides have aperimeter of 27?b. A square is
This all equal 136 I had it

Some students recorded how many minutes they spent on the phone in one day. They put the results in a Stem-and-Leaf Plot.



What is the mean number of minutes spent on the phone?

Some students recorded how many minutes they spent on the phone in one day. They put the results in a

Answers

Answer:   31

Explanation:

The data from the stem-and-leaf plot is:

10,

24,25,26,

30,30,32,33,

40,45,46

Add up those values

10+24+25+26+30+30+32+33+40+45+46 = 341

Then divide over n = 11 which is the sample size.

341/11 = 31 is the arithmetic mean.

Answer:

341/11 = 31 is the arithmetic mean.

Step-by-step explanation:

Yoooooo could u guys help me?

Yoooooo could u guys help me?

Answers

Answer:

1/3232-(1/32)-(1/32)

Step-by-step explanation:

1.

\(2^-^1 \cdot 2^-^4\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\2^{-1}\cdot \:2^{-4}=2^{-1-4}\\\\=2^{-1-4}\\\\=2^{-5}\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}\\2^{-5}=\frac{1}{2^5}\\\\2^5=32\\\\=\frac{1}{32}\)

2.

\(\frac{2}{2^-^4} \\\\\mathrm{Cancel\:the\:common\:factor:}\:2^{-4}\\=2^5\\\\2^5=32\\\\=32\)

3.

\((-\frac{1}{2} )^3\cdot (-\frac{1}{2} )^2\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\\left(-\frac{1}{2}\right)^3\left(-\frac{1}{2}\right)^2=\left(-\frac{1}{2}\right)^{3+2}\\\\=\left(-\frac{1}{2}\right)^5\\\\\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=-a^n,\:\quad \mathrm{if\:}n\mathrm{\:is\:odd}\\\\\left(-\frac{1}{2}\right)^5=-\left(\frac{1}{2}\right)^5\\\\\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}\\\)

\(\left(\frac{1}{2}\right)^5=\frac{1^5}{2^5}\\\\=-\frac{1^5}{2^5}\\\\=-\frac{1}{32}\)

4.

\(\frac{(-2)^-^5}{(-2)^-^1^0} \\\\\mathrm{Apply\:rule}\:a^0=1,\:a\ne \:0\\\left(\left(-2\right)^{-1}\right)^0=1\\\\=\frac{\left(-2\right)^{-5}}{1}\\\\\left(-2\right)^{-5}=-2^{-5}\\\\=\frac{-2^{-5}}{1}\\\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}\\\\=-\frac{2^{-5}}{1}\\\\\mathrm{Apply\:rule}\:\frac{a}{1}=a\\=-2^{-5}\\\\\mathrm{Simplify}\:2^{-5}:\quad \frac{1}{32}\\=-\frac{1}{32}\)

1. 1/32
2. 32
3 (-1/32)
4 (-1/32)

Please Help!!!!!!!!!!!!
(Major Grade) !

Please Help!!!!!!!!!!!!(Major Grade) !

Answers

Answer: O) increase of twenty OR 50% increase O) increase of 10 OR 40% increase N) decrease of 34 OR 68% decrease B) decrease of 6 OR 75% decrease

V) decrease of 40 OR 10% decrease E) decrease of 17 OR 85% decrease L) decrease of 7 OR 70% decrease O) decrease of 3 OR 10%

D) 80% increase S) 15% decrease L) 5% increase S) 28% decrease

I need help because this is my pre algebra test and my teacher is checking our screens so hurrhy

I need help because this is my pre algebra test and my teacher is checking our screens so hurrhy

Answers

there is a positive association because the lines are going upwards in a straight line

What is the LCD of 5/42 and 7/30 ?

210
1,260
6
42

Answers

Answer:

The LCD of 5/42 and 7/30 is 210

The LCD of 5/42 and 7/30 is 210

I am the laziest person you could probably ever know. Please help.

I am the laziest person you could probably ever know. Please help.

Answers

Answer:

The Answer is C

Step-by-step explanation:

Have a GREAT DAY!

Graph y=x−2, could someone help?

Answers

like the other answer said. desmos all the way
Graph y=x2, could someone help?
Y=x-2
So go to y axis and put a dot of -2
Then go up once and go right once
You’ll get a positive graph

Mr. Franklin recorded the number of push-ups his students completed in thirty seconds. Which statement below is a reasonable conclusion based upon the information in the histogram?


A. Four students completed 1 to 5 push-ups in thirty seconds.
B. Most students completed 21 to 25 push-ups in thirty minutes.
C. No one completed 25 push-ups in thirty seconds.
D. Mr. Franklin has more than 20 students in his class.

Mr. Franklin recorded the number of push-ups his students completed in thirty seconds. Which statement

Answers

Answer:

A

Step-by-step explanation:

because it says that "A. Four students completed 1 to 5 push-ups in thirty seconds." and if you look at the graph 4 students did 1 to 5 push-ups.

Answer:

a

Step-by-step explanation:

Find the value of X. 45 and 48 whats the x

Answers

Answer: 93

Step-by-step explanation:

I'm not sure is this is right but I think it means 45+48 which equals 93. does it say anything else?

93 45+48 =93 so I don’t know but that should be the correct answer

PLS HELP TYSMMMM


WILL MARK BRAINLIEST

PLS HELP TYSMMMMWILL MARK BRAINLIEST

Answers

Answer:

26m + 7

Step-by-step explanation:

Distribute the 4(2m-1) which will be 8m - 4
Then combine all like terms which are
18m + 8m + 11 - 4
26m + 11 - 4
26m + 7

Answer:

the is 26m+7.

Step-by-step explanation:

expand the 4(2m-1).

then collect the like terms and simplify.

Use the best-fit line below to predict the value of y when x = 7

Use the best-fit line below to predict the value of y when x = 7

Answers

Answer:

the answer is 6 because when x=7 on the line it is also equal to 6 on the y axis

The answer to the question is 6

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

A theater has 500 seats. Three fourths of the seats are filled. How many seats are filled?

Answers

Answer:

375 seats are filled.

Step-by-step explanation:

The first step is to convert three fourths into a decimal.

In order to do so, I need to divide the numerator and the denominator.

3 ÷ 4 = 0.75

Now we need to multiply 0.75 by 500 beacause 0.75 were the number of seats filled and 500 was the number of seats.

0.75 x 500 = 375

So 375 seats are filled.

selam

500:4=125

125.3=375

cevap=375

Step-by-step explanation:

GIVING BRAINLIEST What is in between 86 and 87

Answers

Answer:

There are many answers, but one that you could use is 86.5.

Step-by-step explanation:

To get an answer, you find a number that is ore than 86, but less that 87. A good example is 86.5. It is 0.5 more than 86, and 0.5 less than 87.

Right in between would be 86.5 but anything from 86.1 to 86.9 would work

I need help on both of them pls help me...

I need help on both of them pls help me...
I need help on both of them pls help me...

Answers

.8 where cooked by the rooms combined 2) 25% pick blue and red
For question number 3 you would add 24+13+38. And that would give you 75. Making the fraction 75/100, in simplest form it would be 3/4. So the answer for number 3 is 3/4

For number 4: you add 0.5 and 3/10 together, but you can’t add a decimal and a fraction so we will convert the decimal to a fraction, 0.5 is equivalent to 1/2 so we will do 1/2 + 3/10. To add you have to find the most common multiple which would be 10. So now the equation is 5/10 + 3/10. Now all you have to do is add the numerators so 5/10+3/10=8/10. 8/10 in its simplest form is 4/5. Your final answer should be 4/5.
I need help on both of them pls help me...

7th grade math I'll give brainliest

7th grade math I'll give brainliest

Answers

Answer:

Step-by-step explanation:

Rise over run is the slope, m

m=2/5

a)  the slope is 2/5 = .4 which is below the boundary guideline.  So no this is not with in carpenter's guidelines

b) the image below show a line with slope 2/5 but with intercept 3

c) the stairs can be draw on the line with rise 2 run 5   from the line.  see image

d)equation is in image

2.

a) count the squares

horizontal distance =3

vertical distance =3

b)  slope is vertical distance over horizontal distance  so m= 3/3 =1

7th grade math I'll give brainliest
7th grade math I'll give brainliest

What is the surface area of the cylinder represented by the​ net? Apply the formula SA = 2B + Ph. Use π as part of your answer.

What is the surface area of the cylinder represented by the net? Apply the formula SA = 2B + Ph. Use

Answers

Answer:

128π

Step-by-step explanation:

SA = 2B + Ph = 2πR² + 2πRh = 2π.16 + 2π.4.12 = 128π

what do i out in for the boxes

what do i out in for the boxes

Answers

Answer:

here

Step-by-step explanation:

* first box divide 90 by 3 which gives you 30

* times by 2 which you get 60 is the second box

* when their is 12 sun visors their are 90 dollars so you can fill the 3rd box.

* bottom for fourth box is 16

* times 30 by 5 which is 150 which is the fifth box

so simply

30

60

90

16

150

are the answers in order

hope this helps

for 15 sun visitors is 112.5 i think

um i would start with doing simple division by divide the first two numbers

Which scenario can be modeled by the linear function
y = -15x + 500?

A. The temperature on Jupiter is
15℉ and increases by 500℉ every day.

B. There is a population of 500 giraffes in Western Africa that decreases by 15 giraffes each year.

C. A carpet cleaning service charges $500 plus an additional $15 for every hour.

D. A membership fee for a movie streaming service is free, but each rental costs $15.

Answers

I think the answer is C
The answer is a because it is able to be modeled unlike the rest

There are three apple orchards. Each orchard has a different number of trees and apples.

Orchard Apple Trees Total Apples
----------------------------------------------------------------
The #1 Seed 84 38,614

Sweet and Sour 178 75,509

Apple Valley 312 135,220
-----------------------------------------------------------------

Which orchard has the highest rate of apples per tree?

Choose 1 answer:


A) The #1 Seed

B) Sweet and Sour

C) Apple Valley

Answers

Answer:sweet and sour is write answer

Step-by-step explanation:

can i get brainlisted

Answer:

The #1 Seed has the highest rate of apples per tree.

Step-by-step explanation:

For each orchard, dividing the total apples by the number of apple trees will give us the number of apples per tree.

For example:

There are three apple orchards. Each orchard has a different number of trees and apples.Orchard Apple

Which measure of central tendency best describes the data?
12, 16, 17, 17, 16, 15, 20, 15, 16

A. mean only
B. either mean or median
C. median only

Answers

Answer:

If I'm not mistaken the correct answer should be B.

(-sorry if I got it Wrong-)

B. Is your answer. Your answer for mean would be 16 and your answer for median would be 16 as well so in that case all together your answer would correctly come out to be B.

Which of the following is an equation of the line in the graph?
the choices:
A. 3x − y = 4
B. 3x + y = 4
C. −3x − y = 4
D. −3x + y = 4

Which of the following is an equation of the line in the graph?the choices:A. 3x y = 4B. 3x + y = 4C.

Answers

Answer:

The answer is choice D.

The best answer choice is C

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Answers

take 9 away from 15 then add what ever number you got to 6 for x
First step is take 9 away from 15 then second step is to add any number you got 6 from x
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