A highway makes an angle of 6 degrees with the horizontal. This angle is maintained for a horizontal distance of 8 miles

Answers

Answer 1

Complete Question

A highway makes an angle of 6 degrees with the horizontal. This angle is maintained for a horizontal distance of 8 miles

To the nearest hundredth of a mile, how high does the highway rise in this

*mile section?

Answer:

[tex]h=0.84miles[/tex]

Step-by-step explanation:

From the question we are told that:

Angle [tex]\theta = 6 \textdegree[/tex]

Horizontal distance traveled [tex]d=8miles[/tex]

Generally the Trigonometric equation for Height  is mathematically given by

[tex]Tan \theta=\frac{h}{5}[/tex]

[tex]h=8*tan(6)[/tex]

[tex]h=0.84miles[/tex]


Related Questions

find the loss if cp= Rs550 sp= Rs494​

Answers

Answer:

loss =Rs 56

Step-by-step explanation:

loss =cp-sp

550-49456

stay safe healthy and happy.

I need help with question number 4

Answers

Answer: x = -3

Step-by-step explanation:

A pair of equations is shown below: y = 2x − 1 y = 4x − 5 Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points) Part B: What is the solution to the pair of equations? (4 points)

WORTH 100 POINTS

Answers

Answer:

Solution given:

x=2

y=3

The requried solution to the pair of equations is (2, 3).

What are simultaneous linear equations?

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,

Part A: To solve the pair of equations graphically, we need to plot both equations on the same coordinate plane. To plot each equation, we can use the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

For the equation y = 2x - 1, the slope is 2 and the y-intercept is -1. For the equation y = 4x - 5, the slope is 4 and the y-intercept is -5. We can plot these two lines on the same coordinate plane and find their intersection point.

Part B: We can find this point by setting the two equations equal to each other and solving for x:

2x - 1 = 4x - 5

Subtracting 2x from both sides, we get:

-1 = 2x - 5

Adding 5 to both sides, we get:

4 = 2x

Dividing by 2, we get:

x = 2

Now that we have found the value of x, we can substitute it into either equation to find the value of y. Using the equation y = 2x - 1, we get:

y = 2(2) - 1

y = 3

Therefore, the solution to the pair of equations is (2, 3).

Learn more about simultaneous equations here:

https://brainly.com/question/16763389

#SPJ3

The distance around the inner circle of a
rubber tyre is 220 cm.
a. Find the inner radius.
b If the thickness of the tyre is 14cm, find
the distance around the outside of the
Areas of rectangles​

Answers

Answer:

inner circle is 44ft and outer circle is 3ft

Solve for x please help !!!!!!!

Answers

Answer:

x ≈ 20.31

Step-by-step explanation:

By applying tangent rule in the given right triangle,

tan(55°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

Measure of the opposite side = 29 units

Measure of the adjacent side = x

Substitute these values in the expression,

tan(55) = [tex]\frac{29}{x}[/tex]

x = [tex]\frac{29}{tan(55)}[/tex]

x = 20.306

x ≈ 20.31

Find h.
10 in.
h = [?] in.
5.
4 in.
PLEASE ILL DO ANYTHING

Answers

By using Pythagorus
10 * 2 - 2 * 2= height*2
100- 4 = height *2
96= height *2
Under-root 96 = height

Answer:[tex]h=\sqrt{96}in.[/tex]

Step-by-step explanation:

.

Find the value of a by using law of sines.

Answers

See the picture below

How many 1/4 pound packages of cheese can the deli make with 12 pounds of cheese

Answers

Answer:

48 1/4 packages

Step-by-step explanation:

Pply the converse of the pythagorean theorem to determine if it's a right triangle. Is the triangle a right triangle? No, 92+402=412. No, 9 squared + 40 squared not-equals 41 squared Yes, 92+402=412. Yes, 9 squared + 40 squared not-equals 41 squared

Answers

Answer:

Yes, 9^2+40^2=41^2

Step-by-step explanation:

From the Pythagoras’ theorem, the square of the hypotenuse of a right triangle equals the sum of the squares of the two other sides

From what we have , the side lengths are 9, 40 and 41

As we can see, 41 is the longest side length and that makes it the hypotenuse

The square of the two other sides is 40^2 + 9^2 = 1,681

Also, 41^2 = 1,681

As we can see, the sum of the squares equal the square of the hypotenuse

Since this follows the theorem, we can conclude that the triangle is a right triangle

Answer:

C, Yes, 92+402=412.

Step-by-step explanation:

solve the system of equations y=8x+5 y=6x+25​

Answers

Answer:

(10,85)

Step-by-step explanation:

x=10

y=85

Determine the scale factor of Triangle KJL to Triangle QPR.
Help ASAP I need a good grade!

Answers

Answer:

scale factor = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original, that is

[tex]\frac{QP}{KJ}[/tex] = [tex]\frac{8}{16}[/tex] = [tex]\frac{1}{2}[/tex]

whats the slope of the line

Answers

Answer: 1


Explanation: to find the slope an easy way find two points on the line. You’ll go up one over one on this graph!
Have a Bomb day!

plzzzzzzzzzzzzz help meeeeeeeee

Answers

Answer:

D. 1,000

Step-by-step explanation:

D. is the answer to your question
hope this helps!

Mark makes $60 for every six hour shift he works. How much will he make if he works an eight hour shift

Answers

Answer:

Mark will make $80 if he works an eight-hour shift.

Step-by-step explanation:

For every six hour shift he works, Mark makes $60

This implies that for every hour, he makes $10 ($60/6)

Therefore, for working an eight-hour shift, Mark will make $80 ($10 * 8) or ($60/6 * 8).

We can conclude that Mark's employer pays him $10 per hour.

This hourly rate can be used to work out how much Mark will earn if he works for a month or a year, as the case may be.

A 16 oz package of brown rice costs 79 cents and a 32 oz package of white rice costs $3.49. Which package is a better deal?

Answers

Answer:

the brown rice is cheaper by the ounce than the white.

Step-by-step explanation:

Find the unit cost in each case.

Brown rice:

 79 cents

----------------- = $0.049/oz

  16 ounces

White rice:

 $3.49

----------------- = $0.109/oz

32 ounces

The brown rice, at 4.9 cents/oz, is the better deal against the competition, 10.9 cents/oz.

PLEASE HELP FOR FINALS!!!!!!


Let sd be the speed (in meters per second) of an object after t seconds of motion.
Explain the meaning of each statement.
3. s (0) = 9
b. s(9) =k
c. s(10) > (20)

Answers

Answer:

If I say to you that we are travelling along at a "constant" speed of 25 m/s... a. ... So every seem 28 mis covend. b. What does the "m/s" after the number 25 mean? ... The object's motion will change - au acceleration will occur. 9. A car is moving ... c. What do you think a graph of velocity versus time would look like? Sketch it.

Step-by-step explanation:

The endpoints of PQ are (-2,8) and (6,12). What are the coordinates of the
midpoint of PQ.
A.4,10
B.4,4
C.2,10
D.5,7

Answers

Answer:

C. (2,10)

Step-by-step explanation:

i used desmos to get the answer :/

A garden hose is 15 yards long. What is the length of the hose in inches?

Answers

540
I need to type more so here is more

Answer:

540 inches

Step-by-step explanation:

each yard is 3 feet in 1 foot is 12 inches 12 times 3 is 36 so 15 times 36 gives you 540 inches

brainliest plz

Kayla bought a necklace on sale for 35% off. What
was her total cost if the original price was $60.00?

Answers

Answer:

$39

Step-by-step explanation:

60 x 0.39 = 21

60 - 21 = 39

Kayla bought a necklace on sale for $39.

A rectangle measures 15 2 inches by 4 3 inches. What is its area?

Answers

Answer:

65.36

Step-by-step explanation:

15.2 x 4.3 = 65.36

Write the slope-intercept form of the equation of each line.
3x − 2y = −16 2) 13x − 11y = −12

Answers

Answer:

1. y= 3/2x + 8

2. y= 13/11x+12/11

Step-by-step explanation:

Answer:

y = 3/2x + 8 , y = 13/11x + 12/11

Step-by-step explanation:

PLEASE HELP...


Find the area of the composite shape. Show your work for BRAINLIST and if it’s correct

Answers

10.38

i multiplied each number and the answers that i got i added them to get the area

While Dorothy had her garage sale, she kept track of how many toms sold within different price ranges. Look at the table and then give the relative frequency for the interval of 511 to $15. The relatie
frequency for $11 to 515
Frequency
Relative
Frequency
Interval
Sl to S5
S6 to S10
Sil to S15
S16 to $20
S21 to $25
S26 to 530
S31 to $35
8
6
4
2
4
6
2

Answers

Answer:

Interval $11 - $15 = 0.2

Step-by-step explanation:

Sum of frequency, Σf = (8+6+4+2+4+6+2) = 32

Relative frequency = f / Σf

Interval :

1 - 5 = 8 / 20 = 0.4

6 - 10 = 6 / 20 = 0.3

11 - 15 = 4 / 20 = 0.2

16 - 20 = 2 / 20 = 0.1

21 - 25 = 4 / 20 = 0.2

26 - 30 = 6 / 20 = 0.3

31 - 35 = 2 / 20 = 0.1

Explain how to determine the x- and y- intercepts of a line from a given equation in y = mx + b form.

Answers

Answer:

Step-by-step explanation:

x-intercept:  Set y = 0 and solve for x:

 0 = mx + b, or mx = -b, or x = -b/m.  x-intercept is then (-b/m, 0)

y-intercept:  Set x = 0 and solve for y:  y = m(0) + b, or y = b.  y-intercept is then

 (0, b).

which number is irrational?
A) square root 12
B) square root 36
C) square foot 64
D) square root 144

Answers

The answer would be: A) square root of 12

the square root of 12 is about 3.4641, irrational numbers most often have decimal points

With the return of the $8 deopsite, the total rental fee came to $8 less that 2 times the hourly rate answer

Answers

Answer:

$8

Step-by-step explanation:

Let the hourly rentals be x

Let the total fee be y

Initial Deposit $8

The expression for the total is given as

y= 8+x

But y= 2x-8

Therefore

2x-=8+x

Collect like terms

2x-x=8

x=8

Hence the hourly rate is $8

What is the surface area and volume of this triangular prism?

Answers

Volume is 561 surface area is 473.45

joe has a bicycle with a front wheel that is 2 feet in diameter. how far does joe travel if his wheel turns exactly 100 complete revolutions in one directions?

314 feet

628 feet

1256 feet

6280 feet

Answers

Given:

The diameter of the wheel is 2 feet.

Number of revolution = 100

To find:

The total distance covered by the bicycle.

Solution:

The circumference of a circle is:

[tex]C=2\pi r[/tex]

Where, r is the radius of the circle.

The diameter of the wheel is 2 feet. So, the radius of the circle is 1 feet.

Putting [tex]\pi =3.14, r=1[/tex] in the above formula, we get

[tex]C=2(3.14)(1)[/tex]

[tex]C=6.28[/tex]

It means the distance covered by the wheel in one revolution is 6.28 feet.

Number of revolution is 100. So, the total distance covered by the wheel in 100 revolution is:

[tex]6.28\times 100=628[/tex]

The total distance covered by the bicycle in 100 revolution is 628 feet.

Therefore, the correct option is B.

Find the number such that five times this number is seven less than 82

Answers

Answer:

15

Step-by-step explanation:

5n = 82 - 7

82 - 7 = 75

75/5 = 15

n = 15

If a rectangle is 30 feet long and the perimeter is 78 feet. What would be the width of the rectangle?

Answers

Answer:

The width should be 9 feet in this situation

Step-by-step explanation:

(30 x 2) + (9 x 2) =

60 + 18 =

78 ft

Or

78 - (30 X 2) =

78 - 60 =

18 / 2 =

9

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