Javier built a skateboard ramp by elevating one end of an 8-foot piece of plywood so that it makes a 20 degree angle with the ground.

Answers

Answer 1

Answer:

2.74feet

Step-by-step explanation:

Since we are not told what to find, we can find the height of the plywood

Given the following

length of ramp = 8feet

angle of elevation = 20degrees

Required

Height of the plywood

Using the SOH CAH TOA identity

Sin theta = opposite/hypotenuse

Sin 20 = H/8

H = 8sin20

H = 8(0.3420)

H = 2.74 feet

Hence the height of the plywood is 2.74feet


Related Questions

What is the solution of log(2f+4)=log(14-3f)
A)-18
B)-2
C)2
D)10

Answers

Answer:

f = 2

Step-by-step explanation:

equate the log

therefore,

2f + 4 = 14 - 3f

collect like terms

2f + 3f = 14 - 4

5f = 10

divide through by 5

f = 10/5

f = 2

Which angles are vertical angles?

Answers

Answer:

<BFC and <DCA

Step-by-step explanation:

Vertical angles are the opposite angles created by intersecting lines and are congruent. Vertical angles share only a vertex

A cube with an edge length of 10 must be filled completely. How many cubic centimeters will be needed? Type
your answer in the box.
A cm3

Answers

Answer: 1,000 cm^3

Step-by-step explanation:

Volume of cube= bhw

All sides of a cube are equivalent so 10^3= 1000

4.
Find the x- and y-intercept of the line.
2x + 3y = -18

Answers

Hi there!

»»————- ★ ————-««

I believe your answer is:  

X - Intercept: (-9, 0)

Y - Intercept: (0, -6)

»»————- ★ ————-««

Here’s why:

The x and y-intercepts of a line is where a given function intercepts the x or y axes.

I have graphed the equation given on a program. The graph shows that the line passes through the points (0, -6) and (-9, 0).

Therefore:

[tex]\rightarrow\text{The x-intercept of the given equation is }\boxed{\text{(-9,0)}}.\\\\\rightarrow\text{The y-intercept of the given equation is }\boxed{\text{(0,-6)}}.[/tex]

See the graph attached below!

»»————- ★ ————-««

Another way to solve this problem is to do this algebraically.

[tex]\text{X-Intercept: Substitute the 'y' variable for zero and solve for 'x'.}\\\\2x + 3y = -18\\-------\\\rightarrow2x+3(0)=-18\\\\\rightarrow2x=-18\\\\\rightarrow\frac{2x=-18}{2}\\\\\rightarrow\boxed{x=-9}\\-------\\\boxed{\text{X-Intercept: (-9,0)}}[/tex]

----------------------------

[tex]\text{Y-Intercept: Substitute the 'x' variable for zero and solve for 'y'.}\\\\2x+3y=-18\\\-------\\\rightarrow2(0)+3y=-18\\\\\rightarrow3y=-18\\\\\rightarrow\frac{3y=-18}{3} \\\\\rightarrow\boxed{y=-6}\\\-----\\\\\boxed{\text{Y-Intercept: (0,-6)}}[/tex]

»»————- ★ ————-««

Hope this helps you. I apologize if it’s incorrect.  

PLEASE HELP! FIRST ANSWER GETS POINTS AND MARKED BRAINLIEST. If joe has 13 pieces of art but his teacher tells him to make 13 times more, how many does joe have to make?

Answers

Answer: 169 more?

Step-by-step explanation: I multiplied 13x13 and got 169

solve for x in the equation (x-3)³​

Answers

Answer:

x=3

Step-by-step explanation:

firstly this equation isn't possible without it equaling to something. I set it equal to zero and got x=3.

EX:

(x-3)^(3)=0

Paul is a baker who earns 15 cash per hour.If paul worked 63 housrs at her job how much money has she eared

Answers

$945 Bc 15(p) x 63(h) = 945

PLZZZ HELPZZZZZZZZZZZZZZ

Answers

Answer:

option 1 , not correct

x + 3 > -7

x > -7 - 3

x > -10

x ={ - 9, - 8, - 7 . . .}

option 2, not correct

x - 3 ≤ -7

x ≤ -7 + 3

x ≤ -4

x = { -4, -5, -6 . . . }

option 3, not correct

x - 3 ≥ -4

x ≥ -4 + 3

x ≥ -1

x ={ -1, 0 , 1 , 2 . . .}

option 4, correct

x - 3 ≥ -7

x ≥ -7 + 3

x ≥ -4

x ={ -4, -3, -2 , -1 , 0 , 1 , 2. . . }

ASAP PLEASE

question is in the picture

Answers

Answer:

5040

Step-by-step explanation:

-1 × -2 × -3 × -4 × -5 × -6 × -7 × -8 = 40320

40320 ÷ 8 = 5040

(not 100% sure this is right)

5040 is the correct answer

HELP PLEASE WHICH ONE IS CORRECT?

Answers

I got chu UwU, the answer is B cause it is smaller

Find the area of this circle. Use 3.14 for pi . the circle is 72 in

Answers

Answer:

16277.76 in

Step-by-step explanation:

area

[tex]\pi \times {72}^{2} [/tex]

I NEED HELP I WILL GIVE BRAINLIEST!
A. 11
B. 13
C. 21
D. 4

Answers

Answer:

c

Step-by-step explanation:

What is the slope-intercept equation of the line below?
HELP PLS

Answers

Answer:

y = -5/4x + 3

Step-by-step explanation:

How many degrees does the hour hand of a clock turn between 3 p.m and 7:30 p.m ?​

Answers

A clock has 12 hours on it.

360/12 = 30

Each hour is 30 degrees.

3pm to 7:30pm is 4.5 hours

Multiply total hours by degrees per hour:

4.5 x 30 = 135 degrees

Answer:

135 degree

Step-by-step explanation:

difference of 3pm to 7:30 is 4 hrs 30 min

12hrs=360degree

60min=360degree

4×360/12

=120

360/12×60×30

360×30÷720

15

now

120+15

135degree

If you went to a dinner with 4 choices of appetizers, 5 main courses, and 2 desserts... the
number of meal options is an example of......

1.Counting Pr inciple
2.Permutation
3.Combination

Answers

Answer:

1. counting principle

Step-by-step explanation:

-----

Help with this problem pls

Answers

As x increasing y decreases.

As x decreases, y increases.

Please mark as the brainliest.

Hope it helps you.

Thank You


If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalent to x from the
second equation is substituted into the first equation

3x + 2y = -21
x - 3y = 4

3(3y + 4) + 2y = -21
3(-3y + 4) + 2y = -21
3x + 2(3y + 4) = -21
3x + 2(-3y + 4) = -21

Answers

Answer:

answer is

3(3y+4) + 2y = -21 .

How many times larger is 3 x 10^8 than 3 x 10^2

A: 1 x 10^-6
B: 1 x 10^4
C: 1 x 10^6
D: 1 x 10^10

Answers

Answer:

Your answer is C

Step-by-step explanation:

You should look at the exponent. Once you figure out the difference between the two exponents then you get your answer.

Jay currently has a balance of $2,375 on her credit card. If she must make a minimum monthly payment of 5.8% of her total balance, what is her minimum payment, to the nearest cent?

Answers

Answer:

$137.75

Step-by-step explanation:

question is 'what is 5.8% of 2375'

'what' means assign a variable

'is' means an equal sign

'of' means to multiply

p = .058 x 2375

p = 137.75

*You could do the following:  p = 5.8 x 2375 and get 13775 but you have to remember to move the decimal point two places to the left

hurry plzzzzzzzzzzzzzzzz

Answers

Answer:

D

Step-by-step explanation:

PELASE HELP MEEEEE I REALLY NEED HELP

Answers

Answer:

2. 7238.23 mm

3. 55.42 ft

4. 703.86 ft

Step-by-step explanation:

Answer:

1. 7234.56mm^2 2. 55.39ft^2 3. 706.5ft^2

List the kinds of measurements have you worked with so far. Describe what area is. Describe what volume is.

How could you find the combined area of all faces of a three-dimensional shape? Give an example of why that would be a good measurement to know.

Answers

1. i’m not sure what you have worked with.
2. area is how much space is within a 2D shape.
3. Volume is the amount of mass that a 3D shape takes up.
4. You find the combined area of a 3D shape by finding the individual area of each shapes on the outside of the 3D shape and then add them up.
5. i’m not sure what you mean by “give an example of why that would be a good measurement to know”

Answer:

In the passed I've used measurement cups, rulers, addition, subtration, and multiplication too.

Step-by-step explanation:

Stay Safe <3 =3 Can I maybe Get Brainliest?

hello please help i’ll give brainliest

Answers

The answer is A the first option

Answer:

The first answer is correct.

Step-by-step explanation:

If we were to plot the numbers of the first one, we would see that they match up to the plot that is given.

Hope that this helps!

If [tex]\frac{a+b}{3} =\frac{b+c}{6} =\frac{c+a}{5}[/tex] then prove that: [tex]\frac{a+b+c}{a} =7[/tex]

Answers

Answer:

[tex]\dfrac{a+b+c}{a} =7[/tex]

Step-by-step explanation:

Given :-

[tex]\dfrac{a+b}{3} =\dfrac{b+c}{6} =\dfrac{c+a}{5}[/tex]

And we need to prove that ,

[tex]\dfrac{a+b+c}{a} =7[/tex]

So let us assume that ,

[tex]\dfrac{a+b}{3} =\dfrac{b+c}{6} =\dfrac{c+a}{5}=k[/tex]

Where k is a constant . Now equate each of the three terms separately to k . Therefore we have ,

[tex]\dfrac{a+b}{3}=k[/tex]

[tex]\implies a + b = 3k \quad \dots (i) [/tex]

Similarly we can say that ,

[tex]\implies c + b = 6k \quad \dots (ii)[/tex]

[tex]\implies a + c = 5k\quad \dots (iii) [/tex]

Subtracting (i) and (ii) :-

[tex]\implies a - c = -3k \quad \dots (iv) [/tex]

Adding (iv) and (iii) :-

[tex]\implies 2c = 4k [/tex]

[tex]\implies \boxed{c = 4k }[/tex]

Put this is (ii) :-

[tex]\implies b +4k = 6k [/tex]

[tex]\implies \boxed{b= 2k }[/tex]

Similarly we will get ,

[tex]\implies \boxed{a = k }[/tex]

Proving the given equation :-

[tex]\implies \dfrac{a+b+c}{a} \\\\\implies \dfrac{k+2k+4k}{k} \\\\\implies \dfrac{7k}{k}=\boxed{\red{ 7}}[/tex]

Hence proved !

A window is being replaced with tinted glass. The plan below shows the design of the window. Each unit length represents 1 foot. The glass costs $12 per square foot. How much will it cost to replace the glass? Use 3.14 for π.

Answers

Answer:

The image of the window can be seen below:

In the image we can see that the window can be separated in:

One rectangle of 4ft by 5 ft

Two half-circles (that if we add we get a complete circle) of diameter D = 4in.

First, we know that for a rectangle of length L and width W, the area is:

A = L*W

Then the area of our rectangle is:

A = 4ft*5ft = 20ft^2

And for a circle of diameter D, the area is:

A' = 3.14*(D/2)^2

In this case we have D = 4in, then the area of the circle (that we get when we add the areas of the two half-circles) is:

A' = 3.14*(4ft/2)^2 = 3.14*4 ft^2 = 12.56 ft^2

Then the total area of the window is:

Area = A + A' = 20 ft^2 + 12.56 ft^2 = 32.56 ft^2

And we know that each square foot of glass costs $12, then  32.56 square foots of glass will cost  32.56 times $12

Then the total cost is:

C = 32.56*$12 = $390.72

Please help, I don’t know what I’m supposed to do

Answers

-10

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎
Answer :

It’s B: -10

Explanation:

Since it dropped 45, you just needed to subtract from 35.

Tell whether the angles are adjacent or vertical. Then find the value
of x. i will mark brainliest!

Answers

The angles are adjacent but I don’t know the value for x I’m sorry
Angles are vertical and
3x-4= 107
-4. -4
3x= 103
/3. /3
X= 34.333333

2. Order these numbers from least to greatest: 5,0,1,-15-3,-1

Answers

Answer:

Step-by-step explanation:

- 15, -3, -1, 0 , 1, 5

Answer:

-15,-3,-1,0,1,5

Step-by-step explanation:

Mr.Li bought a memory card for $138.89 including tax.The card had a sticker price of $129.20.What percent sales tax did he pay.

Answers

Answer:

7.5%

Step-by-step explanation:

Cost of memory card including tax = $138.89

Cost of memory card only = $129.20.

Cost of tax on memory card = Cost of memory card including tax - Cost of memory card only

= $138.89 - $129.20

= $9.69

Cost of tax on memory card = $9.69

What percent sales tax did he pay.

Percent of tax = Cost of tax on memory card / Cost of memory card only

= $9.69 / $129.20 × 100

= 0.075 × 100

= 7.5%

Percent of tax = 7.5%

Workers are using a nuke to carry equipment to work site. A mule can carry one bag of gravel that weighs 13 kilograms and some wooden posts. Each post weighs 4.5 kilograms.
What’s is the greatest number of wooden posts the mule can carry?
Please help

Answers

The mule can carry approximately 3 wooden posts.
Because we know that a mule can carry ≈13kgs and each pole is 4.5 kg, so we do:

13/4.5≈ 2.88888889...≈ 3 wooden posts.

Answer:

14

Step-by-step explanation:

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