Suppose a ramp 2 ft high makes an angle of 4.8° with the ground. Find the length of the ramp.​

Answers

Answer 1

Answer:

23.9 ft (nearest tenth)

Step-by-step explanation:

Use the sine trig ratio to find the length of the ramp.

[tex]\sf \sin(\theta)=\dfrac{O}{H}[/tex]

where:

[tex]\theta[/tex] is the angleO is the side opposite the angleH is the hypotenuse (the side opposite the right angle)

Given:

[tex]\theta[/tex] = 4.8°O = height of ramp = 2 ftH = length of ramp

Substituting the given values into the formula and solving for H:

[tex]\implies \sf \sin(4.8^{\circ})=\dfrac{2}{H}[/tex]

[tex]\implies \sf H=\dfrac{2}{\sin(4.8^{\circ})}[/tex]

[tex]\implies \sf H=23.9\:ft\:(nearest\:tenth)[/tex]


Related Questions

What is the vertex of the graph shown below? Write your answer in the form
(x,y).

Answers

Answer:(-3,-1.5)

Step-by-step explanation: the vertex is the point then the line starts to bend. that would be (-3,-1.5).

Amy buys a tablet case for $10.50 plus a 6% tax and Joanne buys a phone charger for $8 with a 6% sales tax. Enter the sum, in dollars, that Amy and Joanne paid, including tax.

Answers

Answer: 19.61$

Step-by-step explanation:

6% = .06

10.5 x .06

.63

10.5 + .63

11.13$

8 x 0.06

.48

8 + .48

8.48$

8.48 + 11.13

19.61$

How many kilometers is equal to 800 meters?

Answers

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

[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

How many kilometers is equal to 800 meters?

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]

Divide the number of meters by 1000 to convert meters (m) into kilometers  (km):

[tex]\texttt{800:1,000=0.8 km}[/tex]

So 800 m is equal to 0.8 km.

Good luck.

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

Here is a set of data

Answers

Answer:

a) 1.8

b) 11.8

c) 23.6

a)

(2.4 + 1.6 + 3.2 + 0.3 + 1.5) / 5 = 1.8

b)

(12.4 + 11.6 + 13.2 + 10.3 + 11.5) = 11.8

c)

(24.8 + 23.2 + 26.4 + 20.6 + 23) / 5 = 23.6

or,

11.8 × 2 = 23.6

Answer+Step-by-step explanation:

a)

original mean = (2.4+1.6+3.2+0.3+1.5)÷5

         = 9÷5

         = 1.8

b)

New mean = ((2.4+10)+(1.6+10)+(3.2+10)+(0.3+10)+(1.5+10))÷5

         = (12.4) + (11.6) + (13.2) + (10.3) + (11.5)) ÷ 5

         = 59÷5

         = 11.8

Note:  

11.8-10 = 1.8

then

New mean = original mean + 10

c)

Newest mean = ((2×12.4)+(2×11.6)+(2×13.2)+(2×10.3)+(2×11.5))÷5

                       = ((24.8)+(23.2)+(26.4)+(20.6)+(23))÷5

                       = 118÷5

                       =23.6

Note :

Newest mean = 2×(New mean)

                       = 2×(original mean + 10)

Estimate the sum

1.37 + 0.9

Answers

[tex]1.37 + 0.9\\\\\\=\dfrac{137}{100} + \dfrac{9}{10}\\\\\\=\dfrac{137}{100}+\dfrac{90}{100}\\\\\\=\dfrac{137+90}{100}\\\\\\=\dfrac{227}{100}\\\\\\=2.27[/tex]

There is a pair of parallel sides in the following shape.
9. 5. 3

Answers

Answer:

area of composite shapes is area of rectangle plus area of square what do I know I'm just in 8th grad

Robert wants to have 3 cherry trees planted on his property. He asked a landscaping company to give him a bid. The contractor wanted $750 to buy and plant the trees. Robert’s friend Tom said he would help him plant the trees on the weekend. The trees cost $115 each. How much will Robert save by having his friend help him?


Answers

Answer:

If I am correct he will save $405 by having his friend helping him.

Step-by-step explanation:

3x115=345

750-345=$405

totaled saved: 405

It's a trigonometry question.

Answers

The length of the hypotenuse x will be equal to x=89.72 cm.

What is trigonometry?

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle are termed trigonometry.

It is given in the question that:-

The base is = 54 cm

Angle just opposite the base is =37

So the angle with the base will be =180-90-37=53

So by applying the cosine formula for the right-angled triangle:-

Cos Ф=(B)/(H)

Cos 53=(54)(x)

x=(54)(Cos53)

x=889.72 cm

Hence the length of the hypotenuse x will be equal to x=89.72 cm.

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what is the value of the expression 4(80+b) - 12, where b = 20?

Answers

Answer:

388

Step-by-step explanation:

Substituting b = 20 in the expression :

4(80 + 20) - 124(100) - 12400 - 12388

A park is 4 times as long as it is wide. if the distance around the park is 12.5 kilometers, what is the area of the park? 2 answers

Answers

Answer:

6.25 km^2.

Step-by-step explanation:

Let the park be x km wide. Then it's length is 4x km.

Perimeter = 2(Length + width)

12.5 = 2(4x + x)

2*5x = 12.5

x = 12.5 /10 =1.25 km.

So the park is 1.25 km wide and 4*1.25 = 5 km long.

The area of the park = 1.25 * 5

= 6.25 km^2.

The dimension of the park is 1.25 km by 5 km. Then the area of the park is 6.25 square km.

What is the area of the rectangle?

Let W be the rectangle's width and L its length.

The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be

Area of the rectangle = L×W square units

A recreation area is multiple times for however long it is wide. assuming the distance around the recreation area is 12.5 kilometers.

Then the equation is given as,

L = 4W

Then the perimeter of the garden is given as,

12.5 = 2(L + W)

12.5 = 2(4W + W)

6.25 = 5W

W = 1.25 km

Then the length is given as,

L = 4 x 1.25

L = 5 km

Then the area of the garden is given as,

A = 5 x 1.25

A = 6.25 square km

The dimension of the park is 1.25 km by 5 km. Then the area of the park is 6.25 square km.

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PLEASE HELP WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER.
Find the difference between your wet bulb and dry bulb temperatures. Round the value to the nearest whole number. Use this value and your average dry bulb temperature in Celsius (round up or down to the nearest temperature) to determine the relative humidity using the chart below.

Relative Humidity (%)

Dry Bulb Temperature(°C)

Difference of Wet Bulb and Dry Bulb Temperatures(°C)

Answers

Answer:

20 degrees

Step-by-step explanation:

Answer:

20 degrees

Step-by-step explanation:

I got help from my teacher.

Find the difference between the numbers 497.063 and 52.12

Answers

Answer:

444.94300

Step-by-step explanation:

497.063-52.12

Answer answer please please

Answers

Answer:

B. <

Step-by-step explanation:

2.7 * 10^3 is < 27 * 10^3

since

27 * 10^3 = 27000

2.7 * 10^3 = 2700

2700 < 27000

now since multiplying by 10 moves the decimal to the right, just looking and mentally comparing them. since they are both multiplied by 10^3 you're left with 2.7 and 27

27 is greater than 2.7

so

your answer is B or <

hope this helps :)

Answer: the answer is choice b

Step-by-step explanation:

Please help with the 3 equations and tell me how to write it in a number line please! Will be marked brainliest if the answer makes sense!

Answers

number one is 4 so put it on 4 and number 2 would be on 6 and number 3 on 1 thats just how i see it hope this helps

Step-by-step explanation:

if A - 13= (-8), then what does A equal?
(will mark brainliest)​

Answers

Answer:

A = 5

Step-by-step explanation:

Add 13 to each side of the expression :

A - 13 + 13 = -8 + 13A = 13 - 8A = 5

Step-by-step explanation:

A 13+13 equal to -8+13

A 13-8

A 5


what is the length of side x,y, and z

Answers

Answer:

X = [tex]\sqrt{2}[/tex] , Y = 3 , Z = 10

Step-by-step explanation:

using Pythagoras' identity in all 3 right triangles

X² = 1² + 1² = 1 + 1 = 2 ( take square root of both sides )

X = [tex]\sqrt{2}[/tex]

middle triangle

Y² = 1² + X² = 1 + ([tex]\sqrt{2}[/tex] )² = 1 + 2 = 3

triangle on right

Z² = 1² + Y² = 1 + 3² = 1 + 9 = 10

Which of the following sets of numbers could represent the three sides of a triangle? \{6,14,17\}{6,14,17} \{10,23,34\}{10,23,34} \{10,14,26\}{10,14,26} \{7,20,28\}{7,20,28}

Answers

The sets of numbers which could represent the three sides of a triangle is {6,14,17}. Option A is the correct option.

What is triangle inequality theorem?

Triangle inequality theorem of a triangle says that the sum of the two sides of a triangle is always greater than the third side.

Suppose a, b and c are the three sides of a triangle. Thus, according to this theorem,

[tex](a+b) > c\\(b+c) > a\\(c+a) > b[/tex]

The sides of first option are, 6,14,and 17.

[tex]6+14 > 17\\20 > 17[/tex]

This set satisfy the triangle inequality theorem. All the other options do not follow, to satisfy this theorem.

Thus, the sets of numbers which could represent the three sides of a triangle is {6,14,17}. Option A is the correct option.

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PLease help its a math question see image attached please

Answers

Answer:

Quadratic

Step-by-step explanation:

The function shown here is :

y = 2x²

As the degree of the polynomial is 2, this function is considered to be quadratic.

Use the numbers in the multiplication
equation 28 x 1/7= 4 to write a division
equation involving division by a fraction.

Answers

Changing the multiplication sign to a division sign, we will have 28 ÷ 7

Multiplication and division rule

Given the product of 28 and 1/7, we are to write a division equation involving division by a fraction.

Given

28 * 1/7 = 4

Changing the multiplication sign to a division sign, we will have:

28 * 1/7 = 28/7

This can also be written as 28 ÷ 7

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A survey asks teachers and students whether they would like the new school mascot to be a shark or a moose. This table shows the results. Which statement is true? Sharks Moose Total Students 90 10 100 CARNE Teachers 5 10 15 Total 95 20 115 A. "Moose" is equally popular with students and teachers. B. There is no difference between the preferences of students and teachers. C. "Moose" is more popular with students, but "shark" is more popular with teachers. ch D. "Shark" is more popular with students, but "moose" is more popular with teachers.​

Answers

Shark” is more popular with students, but “Moose” is more popular with teachers.​ Then the correct option is D.

How to find the relative frequency?

Relative frequency is the ratio of the considered subgroup's count to the total count. (so its frequency of the considered subgroup relative to the total frequency).

A survey asks teachers and students whether they would like the new school mascot to be a shark or a moose.

This table shows the results.

                          Sharks              Moose            Total

Students               90                     10                  100

Teachers               5                       10                   15

Total                     95                      20                 115

Then the correct situation will be

Shark” is more popular with students, but “Moose” is more popular with teachers.​

Then the correct option is D.

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A printing press valued at $120,000 depreciates 12% per year. What will be the approximate value
printing press in seven years? Round your answer to the nearest whole dollar.
A. Growth or Decay
B. Equation:
C. Answer:

Answers

Answer:

1230000

Step-by-step explanation:

this is because of growth and inflation and deflation

12% of 120,000 = 14400

14400x7 = 100800

120,000 - 100800 = 19200

A:DECAY

Points A and B have the same x-coordinates but opposite y-coordinates.
5
A
4
3
2
NS
5 4 3 2 1
1 2 3 4 5 X
-2
-3
B
-4
-5

Answers

The awnser is 3 units

Start from the y-axis and count to your point.

When I was in tge 5th grade frog leaps/ bunny hops helped me.

The ratio of the circumference of two circles in 3:2. The radius of the smaller circle is 8 in. What is the radius of the larger circle?

Answers

If it’s a ratio of 3:2, it’s basically giving you two separate expressions, which are 3x and 2x. Use 8 for the smaller expression: 2x=8 and x=4. Plug in x to larger expression: 3(4)=12. Radius of larger circle is 12.

help pleasee <3 >:((

Answers

Volume of rectangular pyramid:

[tex]v = \frac{lwh}{3} [/tex]

[tex]v = \frac{10 \times 6 \times 6}{3} [/tex]

[tex]v = 120 \: {ft}^{3} [/tex]

Volume of rectangular prism:

[tex]v = lwh[/tex]

[tex]v = 10 \times 6 \times 4[/tex]

[tex]v = 240 \: {ft}^{3} [/tex]

Total volume:

[tex]v = 120 + 240[/tex]

[tex]v = 360 \: {ft}^{3} [/tex]

volume of rectangular pyramid is 120 ft^3.

volume of rectangular prism is 240 ft^3.

total volume is 360 ft^3.

hope this helps.

Pls help! Due soon!!

Answers

Answer:

See below ~

Step-by-step explanation:

1. 3d + 2

2. John = Kelly - 6

3. y/4 - 3

4. Thomas = 2(Luis)

5. 8p + 6

6. x³ + 5

A rectangular hotel room is 11 feet wide and 25 feet long. What is its perimeter?

Answers

Answer:

The answer is 72

Step-by-step explanation:

The formula for perimeter is (L+W)x2

So in your case (11+25)x2

Or add all 4 sides of the rectangle up and you have your answer <3

Using slope, tell whether each pair of
lines is parallel, perpendicular, or
neither:

Answers

First set is parallel - same gradient

Second set is neither - gradient is 2/6 or 1/3. It then had to be 3 for it to be perpendicular.

Hope this helps!

.....Can someone help me? ​

Answers

Answer:

A (the one you already have selected!)

Step-by-step explanation:

the vertical asymptotes: x = pi / 2

Vertical shift: - 2

Phase shift and period: pi to the right

equation that shows 3 less than the product of 4 and m

Answers

The statement is a mathematical statement, and the equation that shows the statement is y = 4m - 3

How to determine the equation?

The product of 4 and m is represented as:

4 * m

Evaluate

4 * m = 4m

3 less than this product is represented as:

4 * m - 3 = 4m - 3

Let the result of the equation be represented with y.

So, we have:

y = 4m - 3

Hence, the equation that shows the statement is y = 4m - 3

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HELP ME PLEASE!!!!!!

Answers

Answer:

x = 5

Step-by-step explanation:

216 ^x  = 6^(x+10)               notice that 216  = 6^3

(6^3 )^x = 6^(x+10)

6^3x = 6^(x+10)       now just equate the exponents

 3x = x + 10

   2x = 10       x = 5

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