Nachelle wants to use a sheet of fiberboard 30 inches long to create a skateboard
ramp with a 19° angle of elevation from the ground. How high will the ramp rise from
the ground at its highest end? Round your answer to the nearest tenth of an inch if
necessary.

Answers

Answer 1

The height of the board is an illustration of Pythagoras theorem

The ramp will rise 10.3 inches from the ground

The angle of elevation is given as:

[tex]\mathbf{\theta = 19^o}[/tex]

The length of the board is given as:

[tex]\mathbf{l = 30}[/tex]

The height h is calculated using the following tangent ratio

[tex]\mathbf{tan(\theta) = \frac{Opposite}{Adjacent}}[/tex]

So, we have:

[tex]\mathbf{tan(19) = \frac{h}{l}}[/tex]

This gives

[tex]\mathbf{tan(19) = \frac{h}{30}}[/tex]

Make h the subject

[tex]\mathbf{h = 30 \times tan(19)}[/tex]

[tex]\mathbf{h = 10.3}[/tex]

Hence, the ramp will rise 10.3 inches from the ground

Read more about heights at:

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Related Questions

halfway between -20 and 10​

Answers

Answer:

[tex]-5[/tex]

Step-by-step explanation:

Add the two numbers and divide by 2, [tex]-20 + 10 = -10[/tex], [tex]-10 /2 = -5[/tex]

If 43 liters of water are enough to water 25 of the plants in the house, how much water is necessary to water all the plants in the house? Write a multiplication equation and a division equation for the situation, then answer the question. Show your reasoning.

Answers

If you meant 25% of the plants in the house, so that could also be shown as 1/4 or a quarter of the plants in the house so that means that four times 43 litres would be needed to water four times these plants.

4 x 43 = 172L

Your answer is 172 litres :)

(If you meant 25 plants I would be able to help you if you could tell me how many plants were in the house altogether)

how many times does 15 go into 142 please no links thank you 71 points

Answers

Answer: 9 times

Explanation

What is the perimeter, in meters (m), of ∆PRT?

Answers

The perimeter of a triangle is the sum of its dimensions

The perimeter of triangle PRT is 36 meters

Start by calculating the side length PT using the following equivalent ratios

[tex]\mathbf{QR : QS = PR :PT}[/tex]

So, we have:

[tex]\mathbf{3 : 8 = 6 :PT}[/tex]

Multiply 3 : 8 by 2

[tex]\mathbf{6 : 16 = 6 :PT}[/tex]

By comparing the ratios, we have:

[tex]\mathbf{PT = 16}[/tex]

So, the perimeter of triangle PRT is calculated using:

[tex]\mathbf{Perimeter = PR + RT + PT}[/tex]

Substitute values for PR, RT and PT

[tex]\mathbf{Perimeter = 3 + 3 + 7 + 7 + 16}[/tex]

Add up the figures

[tex]\mathbf{Perimeter = 36}[/tex]

Hence, the perimeter of triangle PRT is 36 meters

Read more about perimeters at:

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please answer the question and how you answered it NO LINKS AND NO WEBSITES​

Answers

Answer:

y= 27-6x

Step-by-step explanation:

For the first equation you add 6x on both sides which will leave us at

-y=-27+6x. You then divide both sides by a -1 to make the y positive so then it'll give us the equation y= 27-6x . For the second equation subtract 18x on both sides which will leave us with the equation 3y= 81-18x . Divide each side by 3 to get the y by itself. Then the equation will be y=27-6x

20 points im confused with this one

Answers

Answer: D

Step-by-step explanation:

Answer:

i say go with D

Step-by-step explanation:

Can you give 50 cent in 8 dollars to 17 people

Answers

No you cannot only 16 people

given:3(x-5)+1=10 prove:x=8​

Answers

Answer:

x=8

Step-by-step explanation:

3x-15+1=10

3x=10+15-1

3x=24

x=24/3=8

easy

why is the product of 3/2 and 3/4 greater than 3/4

Answers

Answer:  See below.

Step-by-step explanation:

(3/2)*(3/4) = 9/8

9/8, or 1 1/8 is greater than 3/4

The factor (3/2) is misleading.  It is 1.5 written as a fraction and its appearance as a fraction makes one think it is a small number.  

Janelle came to bat 464 times in 131 games. At this rate, how many times should she expect to have at bat in a full season of 162 games?

Answers

The rate at which she bats is an illustration of ratio and proportions

She's expected to bat 574 times in 162 games

In 131 games, she bat 464 times

Represent this as a ratio

[tex]\mathbf{Ratio = 131 : 464}[/tex]

Let the number of times she bat in 162 games be represented with x.

So, the ratio is represented as:

[tex]\mathbf{Ratio = 162 : x}[/tex]

Equate both ratios

[tex]\mathbf{162 : x = 131 : 464}[/tex]

Express as fractions

[tex]\mathbf{\frac{x}{162 }= \frac{464}{131 }}[/tex]

Multiply both sides by 162

[tex]\mathbf{x= \frac{464}{131 } \times 162}[/tex]

Multiply

[tex]\mathbf{x= \frac{75168}{131 } }[/tex]

Divide

[tex]\mathbf{x= 574}[/tex]

Hence, she's expected to bat 574 times in 162 games

Read more about ratios and proportions at:

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Given a circle with radius 5cm and using π=3.14 calculate it's circumference (I will make you Brainliest)​

Answers

Answer:

Circumference = 31.4 feet

Area= 78.5 sq. feet.

Step-by-step explanation:

brainliest please?????

Fully Factorise : 8x^2+6x

Answers

Answer:

2(4+3) or undefined

Step-by-step explanation:

lmk if this helped

what triangle is formed with the angles 32 126 and 32

Answers

An obtuse triangle would be formed. If you add all the angles, you get a total of more then 180 causing it to b obtuse.

Rene’s driveway is a rectangle 45 feet long by 20 feet wide. What is the area of the driveway?

Answers

Answer:

25 this is a write answer

The area of a rectangle is found by multiplying length times width. In this case it would be 20 ft. times 15 ft. which equals 300 square feet Make sure you answer in SQUARE feet.

In a certain year, 20% o RSM AMC 10 participants were invited to compete in American Invitational Mathematics Examination. How many RSM students participated in AMC 10 that year if 153 of them were invited to take part in AIME

Answers

Answer:

765 students

Step-by-step explanation:

x- total number of students

20% of x=153

20/100=153/x

20x=15300

x=765

Therefore, 765 students

The total number of RSM students participated in AMC 10 that year if 153 of them were invited to take part in AIME is, 765.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

According to the given information, 20% of RSM AMC 10 participants were invited to compete in AIME.

If 20% of students are 153 then 100% of RSM students participate in AMC10 is given as;

x be the total number of students

Therefore,

20% of x=153

20/100=153/x

20x=15300

x=765

Therefore, 765 students.

Learn more about the unitary method, please visit the link given below;

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On a coordinate plane, parallelogram P Q R S is shown. Point P is at (negative 2, 5), point Q is at (2, 1), point R is at (1, negative 2), and point S is at (negative 3, 2). In the diagram, SR = 4 StartRoot 2 EndRoot and QR = StartRoot 10 EndRoot. What is the perimeter of parallelogram PQRS?

Answers

Answer:

B

Step-by-step explanation:

jus belive me

The perimeter of parallelogram PQRS will be 8√2 + 2√10 units.

What is a parallelogram?

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal.

On a coordinate plane, parallelogram PQRS is shown.

Point P is at (-2, 5), point Q is at (2, 1), point R is at (1, -2), and point S is at (-3, 2).

In the diagram, SR = 4√2 and QR = √10.

We know SR = PQ and RQ = SP

Then the perimeter of the parallelogram is the sum of all sides.

P = PQ + QR + RS + SP

P = 4√2 + √10 + 4√2 + √10

P = 8√2 + 2√10

Then the perimeter of parallelogram PQRS will be 8√2 + 2√10 units.

More about the parallelogram link is given below.

https://brainly.com/question/1563728

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P = y² + 2z find the value of P if y = 3 and z = -4

Answers

Answer:

[tex]P = {y}^{2} + 2z \\ = {3}^{2} + 2( - 4) \\ = 9 - 8 \\ \color{red} \boxed{P =1}[/tex]

Answer:

P = 1

Step-by-step explanation:

P = [tex]y^{2}[/tex] + 2 (-4)

P= [tex]3^{2}[/tex] + -8

P = 9 + -8

P = 1

Hope this helps!

Please help it’s so hard for me

Answers

Answer:

Answer is d

Step-by-step explanation:

The sum of the squares of two numbers is 202 the difference of the numbers is -2 both numbers are positive find the numbers

Answers

Answer: a2 + b2 = 202

Step-by-step explanation: Since they are consecutive odd integers, then we can just divide 202 by 2, square root it, then round to the nearest two odd integers. In this case, 202 / 2 = 101 ⇒ 1010.5 ≈ 10.04. The two nearest odd integers are 9 and 11. We can verify that this is the pair: 92 + 112 = 81 + 121 = 202.

Answer:

[tex]\left \{ {x-y=-2\atop {x^2+y^2=202[/tex]  ⇔  [tex]\left \{ {{y=11} \atop {x=9}} \right.[/tex]

Step-by-step explanation:

What is the area of this tile?

Answers

Answer:

Area: 9 in.²

Step-by-step explanation:

Area of square: side²

=> Area of Square tile: 3²

=> 9 in.²

Hoped this helped.

Answer:

9

Step-by-step explanation:

To find the area of a square, multiply both sides.

3*3=9

Three-fourths divided by 2 is?

Answers

Answer: i think 1/4

Step-by-step explanation: maybe i might be incorrect

Answer:

3/4 or 1 1/2

This is an easy mutiplixation problem

you just turn the 2 into a fraction.

find the mode of the following set data

3, 10, 36, 26, 19, 2, 2, 40

Answers

Answer:

2

Step-by-step explanation:

it is the only number that occurs more than once

Marty can dig a 10 ft trench in 90 minutes. Chris can dig a 10 ft trench in 110
minutes. If they work together, how quickly could they dig the trench?
A)100 minutes
B)42.6 minutes
C)49.5 minutes
D)155 minutes

Answers

Answer:

"minutes" (and any subsequent words) was ignored because we limit queries to 32 words.

Step-by-step explanation:

b. po

If they work together, they need 47 minutes to dig the trench.

What is the equation?

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, Marty can dig a 10 ft trench in 90 minutes. Chris can dig a 10 ft trench in 110 minutes.

Marty can dig a 10 ft trench in 90 minutes, and in one minute

10 ft = 90

1 ft = 90/10

1ft = 9 minuted

If Chris can dig a 10 ft trench in 110 minutes, and in one minute

10 ft = 100 minute

1 ft = 100/10

1 ft = 10 minute

If they worked together x minute needed to dig 1 ft,

1/x =1/9+1/10

1/x=1/9+1/10

1=19/90 x

90x=19

x=90/19

x=4.7 minute

For 10 feet,

x = 47 minute

Thus, if they work together, they need 47 minutes to dig the trench.

Learn more about the equation here,

https://brainly.com/question/1041325

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Need help answering this question, and 4 others that are on my page. Giving Points and Brainiest.

Answers

h(x) = -4

Step-by-step explanation:

Simple. Plugging this into the equation will give us:

h(x) = -14 -(-40)/4 = -14+10

h(x)= -4

What is the slope of this line?

Answers

Answer:

y= -3x -3

Step-by-step explanation:

Carey and Patrick both borrowed money from Melinda. Carey owes Melinda $25.00. Patrick owes Melinda 3/4 the amount that Carey owes. How much does Patrick owe Melinda?

Answers

Answer:

$18.75

Step-by-step explanation:

multiply 25 * 3/4 ( 0.75) and you get 18.75

Which set of ordered pairs (x,y)(x,y) could represent a linear function?

Answers

The answer is B!

Tell me if you want me to explain!

Hope this helped!! :)

Split £10 into the ratio 4:1

Answers

Answer:

let the shares be 4x and 1x (4:1)

total share = 4x + 1x = 5x

total amount = 10£

5x = 10£

x = 2£

1st share = 4x = 4*2£ = 8£

2nd share = 1x = 1*2£ = 2£

.

.

[tex]{\bold{\red{HOPE\:IT\:HELPS!}}}[/tex]

[tex]\color{yellow}\boxed{\colorbox{black}{MARK\: BRAINLIEST!❤}}[/tex]

A drive-through car wash can wash 10 vehicles in 45 minutes. At this rate, how long would it take to wash 4 cars?

Answers

Answer:

18

Step-by-step explanation:

First we need to know how many vehicles they can wash in a minute.

1. So you do 10/45. You get 4.5

2. Now that you know that they wash 1 vehicle in 4.5 minutes, you mulitply that by 4. And you get 18.

Hope this helps! :D

answer:

7.5

I'm not good at don't hate me pls???

Given f(x) = 5x + 2 and g(x) = 5x - x5X What is the value of (f 9)(1)?

Answers

Answer:

the answer is 5×9+2=47

Step-by-step explanation:

the answer is 47

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