How high is the end of a 70 foot ramp when it is tipped to an angle of 45 degrees?​

Answers

Answer 1

Answer:

35[tex]\sqrt{2}[/tex]

Step-by-step explanation:

This scenario can be represented and solved by drawing a triangle. The hypotenuse of the triangle represents the ramp which has a length of 70 feet. The angle between the hypotenuse and the leg of the triangle that is parallel to the ground is 45 degrees. Since we know that this is a right triangle, we can conclude that this is a 45-45-90 degree right triangle. We can use the ratios of the sides of special right triangles to solve the problem from here. We know that the two sides and the hypotenuse of a 45-45-90 triangle can be represented as x, x, and x[tex]\sqrt{2}[/tex] respectively. This means that the hypotenuse of 70 feet is equal to x

Then we solve the following equation:

x[tex]\sqrt{2}[/tex] = 70        

x = [tex]\frac{70}{\sqrt{2} }[/tex]

x = [tex]\frac{70}{\sqrt{2} } * \frac{\sqrt{2} }{\sqrt{2} }[/tex]    

x = [tex]\frac{70\sqrt{2} }{\sqrt{4} }[/tex]

x = [tex]\frac{70\sqrt{2} }{2}[/tex]

x = [tex]35\sqrt{2}[/tex]

This means that each side of the triangle has a length of [tex]35\sqrt{2}[/tex] so that is also the height of the end of the ramp from the ground.

How High Is The End Of A 70 Foot Ramp When It Is Tipped To An Angle Of 45 Degrees?

Related Questions

in which graph does the slope of the line l lequal zero

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Answer:

wait can you make the same question with a picture or you don't have any pictures that comes with the problem?

Find the volume of the prism.
2 m

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Answer:

12 cubic meters

Step-by-step explanation:

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They are alternate Exteror angles and internet but as for the question they would be corresponding angles

80 POINTS HURRY ILL GIVE BRANLIEIST!!!

A landscape architect built a square playground. The outside edges of the playground measure 3x meters. The playground has an area of 8100 m^2. How much fencing is needed to fully enclose the playground?

Answers

Answer:

360 meters

Step-by-step explanation:

[tex]\sqrt{8100}[/tex] = 90

one edge = 90 meters

90 x 4 = 360

360 meters

If you place a 34 foot ladder against the top of a building and the bottom of the ladder is 25 feet from the bottom of the building how tall is the building?

Answers

The answer is 59
34+25=59

A 60-foot zip line from a tree to the ground forms a 45 degree angle of elevation from the ground. How high above the ground is the top of the zip line? Round your answer to the nearest tenth of a foot.

Answers

Answer:

42.4 foot

Step-by-step explanation:

Please check the attached image for a diagram explaining the question

We would use sine to determine the required side

Sin 45 = opposite / hypotenuse

0.7071 = opposite / 60

60 x 0.7071 = 42.4 foot

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

The groundskeeper filled the first sandbox with sand to a height of 6 inches. What is the volume,
in cubic feet, of the sand that was used to fill the first sandbox to a height of 6 inches? Show or explain
how you got your answer
Enter your answer and your work or explanation in the space provided

Answers

Answer:

you didnt provide the other 2 measurements, its length x width x height for volume

hey, guys, I have a big test today and I did not study for it at all, any help would be much appreciated

Answers

Answer:

the first second and third option are binomials

All of the options shown above are binomials because they each have 2 terms.

Which of the following is the equation of the line in slope-intercept form that has a slope of -2 and
passes through the coordinate (4, 1)?
A) y = –2x - 7
B) y -1 = -2(x - 4)
C) y = -2x + 9
D) y = -2x

Answers

Answer:

c). y = -2x + 9

Step-by-step explanation:

y = -2x + b

1 = -2(4) + b

1 = -8 + b

9 = b

What is the total surface area of the rectangular prism below in square meters? (Try drawing the net
of the prism if needed.)
5 m
4
2 m
3
m

Answers

Answer: The surface area (SA) would be 62 m.

Step-by-step explanation: The formula for surface area of a rectangular prism is SA= 2(length × width + height × length + width × height). We can   substitute the length, width and height into the problem and get

SA= 2(3×5 + 2×5 + 3×2). Using the order of operations (PEMDAS) we can simplify the problem down to SA= 2(15 + 10 + 6), then add up what is in the   parentheses and get SA= 2(31), and 2×31=62.

HELP PLEASE !!!!!!!!!!!

Answers

Answer:

option B

Step-by-step explanation:

[tex]\lim_{x\to \infty} f(x) = \lim_{x \to \infty} (log(x+2)-3 )[/tex]

                    [tex]= \lim_{x \to \infty} ( log(x+2)) - \lim_{x \to \infty} 3\\\\=\infty - 3\\\\= \infty[/tex]

[tex]\lim_{x \to 2} f(x) = \lim_{x \to 2} ( log(x+2)) - \lim_{x \to2} 3\\\\[/tex]

                 [tex]= log( 2 + 2 ) - 3\\\\= log 4 - 3\\\\=log(2^2) -3\\\\=2 log 2 -3[/tex]

[tex]\lim_{x \to -2} f(x) = \lim_{x \to -2} ( log(x+2)) - \lim_{x \to -2} 3\\\\[/tex]  [tex]\lim_{x \to -2}_+ f(x) = \lim_{x \to -2_+} ( log(x+2)) - \lim_{x \to -2_+} 3 = -\infty\\\\\lim_{x \to -2_-} f(x) = \lim_{x \to -2}_- ( log(x+2)) - \lim_{x \to -2}_- 3 = -\infty\\\\\\\lim_{x \to -2} f(x) = - \infty[/tex]

If a sample of 100 polar bears is taken from a population of polar bears whose average
weight is 2000 pounds and standard deviation is 300 pounds, then a 95% confidence
Interval for the sample mean would be from
to
pounds.

Answers

Answer:

not really sure

but I'll try for you

A window cleaning service charges under $75 to clean all of the windows of a house. Write an inequality to represent the amount charged.

Answers

Answer:

C < $75.

Step-by-step explanation:

Let C be the charge of a window cleaning service, that cleans all the windows of the house.

Since it charges less than $75. this means

C < $75.

So, this is the required inequality equation.

Help plz..And No links!! I repeat No links!!

Answers

0.46

Step-by-step explanation:

23÷50= 0.46

.

.

.

.

.

.

the answer is 0.46 . explanation : convert the fraction to a decimal by dividing the number the the denominator

A circle has a radius of 10 cm and a sector of the circle
has an arc length of 10.8 cm.
The angle at the centre of the sector is x.
Calculate the value of x to the nearest degree.

10.8 cm
10 cm

Answers

10 times 2 is 20
20 times pi is 62.8
62.8 divided by 10.8 =5.8
360 divided by 5.8 = 62 degree
I hope this will help

need the answer asap i will give you brainliest

Answers

Answer:

d

Step-by-step explanation:

What is the slope of the line?
(0,2) (4, -1)

Answers

(-3,4) djdjfk food of

Help Pleasee

Reflect shape A in the line x = -2

Answers

Answer: Check out the diagram below

The reflected image is shown in red.

=================================================

Explanation:

Draw a vertical line through -2 on the x axis. This is the mirror line.

Now focus on the upper right corner of the figure, which is at (-3, -1). Notice how the horizontal distance from this corner point to the mirror line is exactly 1 unit. If we move another 1 unit to the right, then we'll arrive at (-1,-1) which is where the reflected point lands or ends up.

In short, the upper right corner point (-3,-1) reflects over x = -2 to land on (-1,-1)

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

As another example, the upper left corner point (-5, -1) will move exactly 4 spaces to the right to get to the mirror line. Then we move another 4 spaces to the right to get to (2,-1).

So the upper left corner (-5,-1) will ultimately move to (2,-1) after the reflection over x = -2.

Apply these steps to the other corner points and you'll end up with what is shown below.

Take note that a point like A(-5,-1) moves to A'(1,-1), and similar to the other points as well. Also, notice that when going from A to B to C, etc we are moving clockwise. We move counterclockwise when going from A' to B' to C' etc. Reflections always swap the orientation.

Transformation involves changing the position of a shape.

The coordinates of the image are:

[tex]\mathbf{A '= (1,1)}[/tex]      [tex]\mathbf{B' = (-1,-1)}[/tex]     [tex]\mathbf{C' = (-1,-4)}[/tex]     [tex]\mathbf{D' = (0,-4)}[/tex]

[tex]\mathbf{E' = (0,-3)}[/tex]      [tex]\mathbf{F = (1,-3)}[/tex]

The vertices of the shape are:

[tex]\mathbf{A = (-5,-1)}[/tex]

[tex]\mathbf{B = (-3,-1)}[/tex]

[tex]\mathbf{C = (-3,-4)}[/tex]

[tex]\mathbf{D = (-4,-4)}[/tex]

[tex]\mathbf{E = (-4,-3)}[/tex]

[tex]\mathbf{F = (-5,-3)}[/tex]

The rule of reflection across line x =-2 is:

[tex]\mathbf{(x,y)=(-x -4,y)}[/tex]

So, we have:

[tex]\mathbf{A '= (5 - 4,-1) = (1,-1)}[/tex]

[tex]\mathbf{B' = (3-4,-1) = (-1,-1)}[/tex]

[tex]\mathbf{C' = (3-4,-4) = (-1,-4)}[/tex]

[tex]\mathbf{D' = (4-4,-4) = (0,-4)}[/tex]

[tex]\mathbf{E' = (4-4,-3) = (0,-3)}[/tex]

[tex]\mathbf{F = (5-4,-3) = (1,-3)}[/tex]

So, the coordinates of the image are:

[tex]\mathbf{A '= (1,-1)}[/tex]

[tex]\mathbf{B' = (-1,-1)}[/tex]

[tex]\mathbf{C' = (-1,-4)}[/tex]

[tex]\mathbf{D' = (0,-4)}[/tex]

[tex]\mathbf{E' = (0,-3)}[/tex]

[tex]\mathbf{F = (1,-3)}[/tex]

See attachment for the image of the transformations

Read more about transformations at:

https://brainly.com/question/11709244

What is the solution to 3+ 4e^X+1=11?
O x = In 2-1
O X=In2+1
O X- x-
e
e+2
OX-
e

Answers

Answer:

x = 1   ,or   x = -7

Obviously, the true answer is not in the options given.

Step-by-step explanation:

x² + 6x - 6 = 10

The above equation can not be factorized, hence the use of Almighty Formula.

x = [-b +- √b² - 4ac] / 2a

Where a = 1, b = 6, c = -6

x = [-6 +- √6² - (4*1*-6)] / 2*1

x = [-6 +- √36 - (-24)] / 2

x = [-6 +- √36 + 24] / 2

x = [-6 +- √60] / 2

x = [-6 +- 7.75] / 2

x = [-6 + 7.75] / 2   ,or   x = [-6 - 7.75] / 2

x = 1.75/2   ,or   x = -13.75/2

x = 0.875   ,or   x = -6.875

Approximately

x = 1   ,or   x = -7

Answer:

x=In2+1

Step-by-step explanation:

3+4ex+1-3=11-3

0+4ex+1=8

4ex+1=8

Which linear equation best fits the data ?

Answers

Answer:

[tex]{ \tt{slope = \frac{2 - 1.5}{40 - 60} }} \\ = - 0.025 \\ \\ { \tt{y = mx + c}} \\ 2 = ( - 0.025 \times 40) + c \\ c = 3 \\ { \bf{ y = - 0.025x + 3}}[/tex]

Tiny's Tattoo Parlor sold 389 tattoos this month. 43 of those tattoos were arm tattoos.
Based on this data, what is a reasonable estimate of the probability that the next customer does not get an
arm tattoo?
Choose the best answer.
Choose 1 answer.
43
346
43
389
43
43
346
389
St Watch video or use a hint
Report a problem

Answers

Answer:

346/389

Step-by-step explanation:

First determine how many were not arm tattoos

389-43

346

P( not arm) = not arm /total

                   = 346/389

Answer:

346/389

Step-by-step explanation:

Khan

10.3% of 853.93km rounded to 2 dp

Answers

Answer:

87.95479

Step-by-step explanation:

10.3% of 853.93 km

Expand 10.3÷100 by multiplying both numerator and denominator by 10.

[tex] \small \sf \frac{10.3 \times 10}{100 \times 10} = 853.93 \\ [/tex]

[tex] \small \sf \frac{103}{1000} = 853.93 \\ [/tex]

convert decimal number 853.93 to fraction 85394÷100

[tex]\small \sf \frac{103}{1000} = \frac{85393}{100} \\[/tex]

Multiplying 103÷1000 and 85393÷100 by numerator times numerator and denominator times denominator.

[tex]\small \sf \frac{103 \times 8539 3}{1000 \times 100} \\[/tex]

Do the multiplication in the fraction

[tex]\small \sf \frac{8795479}{100000} \\ [/tex]

Divide we get

87.95479

Another way to solve it

10.3% 853.93

we know that ; % = whole no. ÷ 100

then,

10.3 ÷ 100 × 853.93

Divide the numbers

0.103 × 853.93

multiply the numbers

87.95479

Twenty planes are at an airport. Eight planes take off, then five planes land, then 7
more take off, then 9 land. How many planes are left at the airport? PLS HELPP

Answers

Answer:

19

Step-by-step explanation:

20 - 8 = 12

12 + 5 = 17

17 - 7 = 10

10 + 9 = 19

Simplify the expression 3(9+4x−5).

ill give brainlist

Answers

12x+12 step by step below

If f(x) = (x+1)-1
and
g(x) = x–2, what is the domain of Rx) = g(x)?

Answers

Step-by-step explanation:

f is (x+1)-1

and g (the next letter in the alphabet) is x-2

first for f

x+1-1 = x

Then we -2 for g

So every letter there o words is just 2 less than the previous letter like

h would be h= x-4

so r(x) is g which is x-2 and x which would have to be the remaining amount to get to the number

Find a number which in which added square
sum will be 72.​

Answers

Answer:

8.48528137424^2

Step-by-step explanation:

8.48528137424x8.48528137424

= 72

HELP WILL GIVE BRAINLIEST SHOW WORK LOOK AT IMAGE

Answers

Answer: -9/2

Step-by-step explanation:

Answer:

x = -9/2

Step-by-step explanation:

Use the law of exponents

(a^p)^q = a^(pq)

here on the left-hand-side

a=3

p=3

q=2x+6

so

(a^p)^q = (3^3)^(2x+6) = 3^(3(2x+6)) = 3^(6x+18)

The right-hand-side = 3^(2x)

Equate exponents of both sides

6x+18 = 2x

6x-2x = -18

4x = -18

x = -9/2

The table below shows the typical hours worked by employees at a company. A salaried employee makes $50,000 per year. Hourly employees get paid $20 per hour, but get $30 per hour for each hour over 40 hours.
Sun.
Mon.
Tues.
Wed.
Thurs.
Fri.
Sat.
0
8
8
9
9.5
7.5
4

Answers

b) Hourly pay. Hourly employees make more per week than salaried employees

The equation which represents x, the width of the border is 2(8-2x) + 2(4- 2x) – 18. What is the width of the border?
oft
ft
1 ft
3 ft

Answers

Answer:

mumu and a pink one is a little it is a little bit of time with my family and then we are just getting back to talk with you and I will be in attendance and how to write an email to all you need the money to pay for the understanding that I have

The product of two and any nonzero integer is always _________.

Answers

Answer:

The product of two and any nonzero integer is always an even number.

Step-by-step explanation:

Example:

2 * 17 = 34

2 * 15 = 30

2 * 30 = 60

All of these are even numbers.

The product of two and any nonzero integer is always an even integer.

What are integers?

"It is a natural number numbers along with zero and negatives."

Z = . . ., -3, -2, -1, 0, 1, 2, 3, . . .

What is even integer?

"An integer which is divisible by 2."

For given example,

Let a = 2 and 'b' be any nonzero integer.

Case 1: 'b' is positive even integer

Let b = 4

⇒ a × b = 2 × 4

⇒ a × b = 8, which is an even integer.

Case 2: 'b' is negative even integer

Let b = -8

⇒ a × b = 2 × (-8)

⇒ a × b = -16, which is an even integer.

Case 3: 'b' is positive odd integer

Let, b = 9

⇒ a × b = 2 × 9

⇒ a × b = 18, which is an even integer.

Case 4: 'b' is negative odd integer

Let, b = -3

⇒ a × b = 2 × (-3)

⇒ a × b = -6, which is an even integer.

From above cases, we can observe that the product of 2 and any nonzero integer is an even integer.

Therefore, the product of two and any nonzero integer is always an even integer.

Learn more about integers here:

https://brainly.com/question/15276410

#SPJ2

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