A 14 foot long ramp is being built to access a front door in a house. The door is 5 feet above the ground. How far away from the base of the house must the ramp be placed? What angle will the ramp make with the ground?

Answers

Answer 1

Answer:

The ramp must be placed 13.08 feet from the base of the house.

The angle the ramp will make with the ground is 20.92°.

Step-by-step explanation:

An illustrative diagram for the scenario is shown below.

In the diagram, d represents the distance of the door from the ground, r represents the length of the ramp and x represent the distance of the ramp from the base of the house.

To determine how far away from the base of the house the ramp must be placed, that is to determine x in the diagram.

The diagram is a right angle triangle and x can be determine using the Pythagorean theorem which states " the square of the hypotenuse equals sum of the squares of the other two sides"

In the diagram, the hypotenuse is r

∴ r² = d² + x²

r = 14 ft

d = 5 ft

∴ 14² = 5² + x²

196 = 25 + x²

Then, x² = 196 - 25

x² = 171

x = √171

x = 13.08

Hence, the ramp must be placed 13.08 feet from the base of the house.

Now, to determine what angle the ramp will make with the ground, that is θ in the diagram.

From the formula

Sinθ = Opposite / Hypotenuse

In the diagram, opposite = d = 5ft

and Hypotenuse = r = 14ft

∴ Sinθ = 5ft / 14ft

Sinθ = 0.3571

∴ θ = Sin⁻¹(0.3571)

θ = 20.92°

Hence, the angle the ramp will make with the ground is 20.92°.

A 14 Foot Long Ramp Is Being Built To Access A Front Door In A House. The Door Is 5 Feet Above The Ground.

Related Questions

-4/7 + 2/7 x –14x + 4/7

Answers

The answer is -96/7x

Can you pls mark brainleist

Expand and simplify 6(2x - 3) – 2(2x + 1)

Answers

Answer 8x - 20

Step-by-step explanation:

6(2x - 3) - 2(2x + 1)

Distribute

6(2x) -6( 3) - 2(2x) -2( 1)

12x -18 -4x -2

Combine like terms

12x -4x    -18 -2

8x-20

solve: -3 |x-3| = -6
how do i solve absoulute value ?​

Answers

Answer:

x=5,1

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Susan makes a purchase of $175 and is charged 7.75% for sales tax. What is the total cost of the purchase if Susan charges it on a credit card with a daily interest rate of 0.039% and pays the balance off at the end of 30 days? a. $176.17 b. $186.70 c. $190.77 d. $200.26

Answers

Answer:

C. 190.77

Step-by-step explanation: edge 2022

The required, total cost of the purchase is $190.77. Option C is correct.

What is the percentage?

The percentage is the ratio of the composition of value to the overall composition of value multiplied by 100.

Here,
To calculate the total cost of the purchase, we first need to calculate the amount of sales tax and add it to the original price.

Sales tax = 7.75% of $175 = 0.0775 x $175 = $13.56

Total cost of purchase = $175 + $13.56 = $188.56

If Susan charges the purchase to her credit card and pays it off after 30 days, she will be charged interest on the outstanding balance for those 30 days. The interest rate is 0.039% per day, which is equivalent to 1.17% per month (0.039% x 30).

The interest charged on the outstanding balance after 30 days will be:

Interest = $188.56 x 1.17% = $2.20

Therefore, the total cost of the purchase, including sales tax and credit card interest, will be,

Total cost = $188.56 + $2.20 = $190.76

Therefore, the total cost of the purchase is $190.77.

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What is the value of x?
X=

Answers

Step-by-step explanation:

[tex]{:}\longrightarrow[/tex][tex]\sf 13x-12=7x-6 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 13x-7x=-6+12 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 6x=6 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac{6}{6}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=1 [/tex]

Find the 12th term of the geometric sequence 2, 10,50,...

Answers

The first term of the geometric sequence is 2 and the common ratio is 5. So, the 12th term of the geometric sequence is 97656250.

Geometric sequence:

Important information:

Given geometric sequence is 2, 10,50,...

We need to find the 12 th term.

In the given geometric sequence, the first term is [tex]a=2[/tex] and the common ratio is [tex]d=\dfrac{10}{2}=5[/tex].

The nth term is:

[tex]a_n=ar^{n-1}[/tex]

Where [tex]a[/tex] is first term, [tex]r[/tex] is common ratio.

The 12th term is:

[tex]a_{12}=2(5)^{12-1}[/tex]

[tex]a_{12}=2(5)^{11}[/tex]

[tex]a_{12}=97656250[/tex]

Therefore, the 12th term of the geometric sequence is 97656250.

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Answer: 97656250.

Step-by-step explanation:

dm

Choose the graph below that represents the following system of inequalities:

y ≥ −3x + 1

y ≤ 1/2 x + 3

Answers

Answer:

the following system of inequalities:

y ≥ −3x + 1

y ≤ (1/2)x + 3

using a graph tool

see the attached figure

the answer is the option

B)Graph of two lines that intersect at one point. Both lines are solid. One line passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line passes through points 0, 1 and 1, negative 2 and is shaded above the line

Step-by-step explanation:

What system of equations can be used to ring s, the cost in dollars of each standard photo and w, the cost in dollars of each wallet photo ?

Answers

Answer:

A

Step-by-step explanation:

The amount of money that Jacob earns based on the number of hours he works is shown in the table. Find the constant of proportionality.

Answers

Answer:

Y=7.5x

Step-by-step explanation:

8-5=3 and 60-37.5 is 22.5 divide 22.5 by 3 and you get 7.5 which is the rate that he earns an hour

Brian bought a jacket that cost d dollars. He paid the clerk $60,00 He received $7.39
in change. How much did Brian pay for the jacket?

Answers

Answer:

52.61 is what Brian payed for the Jacket.

Step-by-step explanation:

52.61 + 7.39 = 60$ in total.

Answer:

ok so a jacket would never cost 60,00 i think you meant 60.00 so it would be $52.61 for the jacket

Step-by-step explanation:

Subtract 7.39 from 60

if you really did mean 60000 the answer would be 5992.61

.Factor the expression using the GCF.
8y - 6x

Answers

Answer:

2(4y - 3x)

Step-by-step explanation:

A bee flies at 9 feet per second directly to a flower bed from its hive. The bee stays at the flowerbed for 15 minutes, and then flies directly back to the hive at 6 feet per second. It is away from the hive for a total of 18 minutes

Answers

Complete question is;

A bee flies at 9 feet per second directly to a flower bed from its hive. The bee stays at the flowerbed for 15 minutes, and then flies directly back to the hive at 6 feet per second. It is away from the hive for a total of 18 minutes.

a. What equation can you use to find the distance of the flowerbed from the hive?

b. How far is the flowerbed from the hive?

Answer:

A) (d/9) + 900 + (d/6) = 1080

B) d = 648 ft

Step-by-step explanation:

A) We are told that A bee flies at 9 feet per second directly to a flower bed from its hive.

Time taken is given as;

t = distance/speed

If distance is d from the hive to the flower bird.

Then, t1 = d/9

The bee stays at the flowerbed for 15 minutes. Thus, time spent at the flowerbird in seconds is; t2 = 15 × 60 = 900 seconds.

We are told that the bee flew directly back to the hive at 6 feet per second.

Thus,time is;

t3 = d/6

Since total time spent away from hive is 18 minutes, then converting to seconds, we have; t = 18 × 60 = 1080 s

Thus;

(d/9) + 900 + (d/6) = 1080

B) Since we have derived;

(d/9) + 900 + (d/6) = 1080

Then we can find d.

Multiply through by 18 to get;

2d + (900 × 18) + 3d = 1080 × 18

2d + 16200 + 3d = 19440

5d = 19440 - 16200

5d = 3240

d = 3240/5

d = 648 ft

I will give brailiest to whoever needs it!

Answers

Answer:

me please

Step-by-step explanation:

Answer:

idc if i get it

Step-by-step explanation:

Rectangle A measures 10 inches by 8 inches. Rectangle B is an enlarged copy of Rectangle A. Select all of the measurement pairs that could be the dimensions of Rectangle B.

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

Rectangle A:

[tex]Length: 10\ in[/tex]

[tex]Width: 8\ in[/tex]

Required

Determine the possible dimensions of Rectangle B

The question has missing options; however, the question can still be solved.

Rectangle B being an enlarged copy of A implies that the dimension of A A is enlarged in equal proportion to form B

Take for instance, the measurements of Rectangle B are

[tex]Length: 15 in[/tex]

[tex]Width: 12 in[/tex]

Divide the corresponding lengths of B by A to get the enlargement ratio

[tex]Ratio = \frac{B}{A}[/tex]

For length:

[tex]Ratio = \frac{15}{10}[/tex]

[tex]Ratio = 1.5[/tex]

For width

[tex]Ratio = \frac{12}{8}[/tex]

[tex]Ratio = 1.5[/tex]

Notice that both ratios are the same.

For this measurement of B, we can conclude that B is an enlargement of A

Assume another measurements for B

[tex]Length: 20\ in[/tex]

[tex]Width: 10\ in[/tex]

Calculate Ratios

[tex]Ratio = \frac{B}{A}[/tex]

For length:

[tex]Ratio = \frac{20}{10}[/tex]

[tex]Ratio = 2[/tex]

For width

[tex]Ratio = \frac{10}{8}[/tex]

[tex]Ratio = 1.25[/tex]

Notice that, both ratios are not equal.

For this measurement of B, we can conclude that B is not an enlargement of A

Conclusively, all you have to do is: determine the ratios of the dimensions of B to A, if the result are equal then B is an enlarged copy of A; if otherwise, then B is not an enlarged copy

Anyone in 10th grade geometry I could really use a partner to help me with it please?! :)

Answers

Answer:

I can help

Step-by-step explanation:

I'm in honors classes

Suponga que le piden averiguar cuán alto es un poste de luz, su mejor
momento es durante la tarde en un día soleado, si la única herramienta
que tiene es una cinta métrica de 5m ¿cómo haría para saber con la
mayor exactitud posible el tamaño del poste?

Answers

Answer:

gtdnuf fjgdyj gudchu hfvhd gjsjck

grixbedfb hvdb kgtd kggyan samera hhgv bcc

Solve.
4 - 2x = 10
A)-7
B)-3
C)0
D)3

Answers

Answer: The answer should be B) -3. To solve the equation you have to rewrite the equation.

A line passes through the points (-5, 2) and (10,-1). Which is the equation of the line?
o y=-3x+1
O y-zx=3
O y = -5x – 23
O y = 5x + 27
HURRY

Answers

The answer is A : y=-1/5x+1 ..... I checked on desmos

H shows the ratio of pencils to pens sold at the school bookstore. If the bookstore sells 15 pencils, what is the ratio of pencils to pens sold written as a fraction?

Answers

Answer:

[tex]Ratio = \frac{3}{2}[/tex]

Step-by-step explanation:

See attachment for complete question.

We start by solving for the equation of the graph (The graph shows a linear equation)

Represent pencils with x and pen with y

From the graph, we have that:

[tex](x_1,y_1) = (6,4)[/tex]

[tex](x_2,y_2) = (12,8)[/tex]

Solve for slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{8 - 4}{12- 6}[/tex]

[tex]m = \frac{4}{6}[/tex]

[tex]m = \frac{2}{3}[/tex]

The equation is calculated using:

[tex]y - y_1 = m(x - x_1)[/tex]

Where

[tex]m = \frac{2}{3}[/tex]

[tex](x_1,y_1) = (6,4)[/tex]

[tex]y - 4 = \frac{2}{3}(x - 6)[/tex]

[tex]y - 4 = \frac{2}{3}x - \frac{2}{3} * 6[/tex]

[tex]y - 4 = \frac{2}{3}x - \frac{2 * 6}{3}[/tex]

[tex]y - 4 = \frac{2}{3}x - \frac{12}{3}[/tex]

[tex]y - 4 = \frac{2}{3}x - 4[/tex]

Add 4 to both sides

[tex]y - 4 +4= \frac{2}{3}x - 4 + 4[/tex]

[tex]y= \frac{2}{3}x[/tex]

Now, to the question.

When pencils is 15 implies that

[tex]x = 15[/tex]

Solving for x, we have:

[tex]y= \frac{2}{3}x[/tex]

[tex]y= \frac{2}{3} * 15[/tex]

[tex]y= \frac{2* 15}{3}[/tex]

[tex]y= \frac{30}{3}[/tex]

[tex]y= 10[/tex]

i.e. Pen = 10

Ratio = x ; y

[tex]x : y = 15 : 10[/tex]

Convert to fraction

[tex]\frac{x}{y} = \frac{15}{10}[/tex]

Simplify

[tex]\frac{x}{y} = \frac{3}{2}[/tex]

Hence,

[tex]Ratio = \frac{3}{2}[/tex]

Answer:

3/2 :)

Step-by-step explanation:

Problem 1
Select all of the ordered pairs (x, y) that are solutions to
the linear equation 2x + 3y = 6.
(Select all that apply.)
(0,2)
(0,6)
(2,3)
(3,-2)
(3,0)
(6, -2)

Answers

The answers that are true are a, e, f.

I just plugged in the coordinates in the given equation and saw if it was true or not

Can you give brainleist

After substituting the given values of x and y in the equation, all that can apply are (0, 2), (3, 0), and (6, -2).

What is an equation?

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given information in the question,

The given equation is,

2x + 3y = 6

Now, substitute the corresponding points and check,

1. For points (0, 2)

2(0) + 3(2) = 6

6 = 6, this is correct.

2. For points (0, 6)

2(0) + 3(6) = 18

6 ≠ 18, this is incorrect.

3. For points (2, 3)

2(2) + 3(3) = 6

13 ≠ 6, this is incorrect.

4. For point (3, -2)

2(3) + 3(-2) = 6

0 ≠ 6, this is incorrect.

5. For point (3, 0)

2(3) + 3(0) = 6

6 = 6, this is correct.

6. For point (6, -2)

2(6) + 3(-2) = 6

6 = 6, this is correct.

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7th grade math, I will give brainliest to right answer!
t/4 = 1
what is the value of t?

Answers

Answer:

t = 4

Step-by-step explanation:

Anything divided by itself is 1

can someone please help me with these two

Answers

Answer:

1)

x=8 degrees

<B=70 degrees

2)

<MON=57 degrees

Step-by-step explanation:

Detailed ans is in attachment

hope it helps :)

plz mark as brainliest

write an explicit rule for the sequence

Answers

For the top row it increases by 2. For the bottom row it decreases by 5. And the top row times 2 equals the bottom row

Pls answer soon lol.
................................................
(95)×(3×10^4 )

Answers

Answer:

2.85 × 10^6

Step-by-step explanation:

Answer:

2850000

Step-by-step explanation:

5.
For each equation, determine if x = 2 is a solution. Explain or show your reasoning.
a.
-2(x – 4) = 4
b.
26
= 13
C.
-3.8x = -7.4
4(x - 1) – 3(x - 2) = -8
d.

Answers

A. Yes because -2(2-4) does equals =4
B. Yes because 26/2 does equals = 13
C. No because -3.8(2) equals -7.6 and not -7.4
D. No because 4(2-1)-3(2-2) equals 4 and not -8

x=2 is a solution of equations -2(x – 4) = 4 and 26/x=13

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

-2(x-4)=4

-2(2-4)=4

4=4

Hence, x=2 is the solution

26/x=13

Now x=2

26/2=13

13=13

Hence, x=2 is the solution

-3.8x=-7.4

Now x=2

-3.8×2=-7.4

-7.6=-7.4

x=2 is not a solution of -3.8×2=-7.4

4(x - 1) – 3(x - 2) = -8

4(2-1)-3(2-2)=-8

4=-8

x=2 is not a solution of -3.8×2=-7.4

Hence, x=2 is a solution of equations -2(x – 4) = 4 and 26/x=13

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Jennifer solved 27 problems, which is 3 11 of all the problems in her homework. How many problems are in her homework? find the number

Answers

Answer:

99 problems

Step-by-step explanation:

27 problems solved, x problems unsolved

27/x to 3/11

27/3 = 9

3/11(9/9)

27/99

There are 99 problems in Jennifer's homework.

every 5 days alma rides her skateboard in the park every 4 days she bikes to her best friends house how often does alma do both

Answers

Answer:

In what time frame. It asks how often she does both but does that mean in a week or another span of time?

Step-by-step explanation:

What is the slope of у= 3х — 9​

Answers

Answer:

3?

Step-by-step explanation:

3 is the slope intercept I believe

Michael spends a half hour adding water to his pool part of the time at a rate of 15 gallons per minute and the rest of the time at a rate of 9 gallons per minute. Let t be the time in minutes that he adds water at the faster rate write an algebraic expression to represent the total number of water added to the pool

Answers

Answer:

24t + 270 gallons

Step-by-step explanation:

Given that :

Addition rate 1 = 15 gallons per minute

Addition rate 2 = 9 gallons per minute

Total time spent adding water = half an hour = 30 minutes = 0.5 hour

Time spent adding water at faster rate = t

Time spent addition water at slower rate = (30 - t)

Total number of water added to the pool :

Amount of water added = addition rate * time

Hence,

Amount of water added at faster rate :

(15 gal / min) * t = 15t gallons

Amount added at slower rate :

(9 gal / min) * (30 - t) = (270 - 9t) gallons

Total amount of water added to the pool:

15t gallons + (270 - 9t)gallons

15t + 270 + 9t

24t + 270 gallons

Find the value of the missing angle

Answers

Answer:

130 degrees.... I am pretty sure

Cus angles of a triangle add to 180 and so the inside angle is 130 and they are vertical angles so they are the same right? right?

Step-by-step explanation:

Answer:

130 degrees

Step-by-step explanation:

I first came up with the equation 30+20+?=180 (I got 180 because every angle in a triangle added up is 180), then added the 30 and 20 to get 50+?=180. I subtracted 50 from both sides and got ?=130. I know that the angle on the inside and the outside are equal because it seems like a reflection, so if the inside angle is 130 the outside angle is 130 degrees too.

Hope this helps you :)

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