1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
fredd [130]
2 years ago
15

A ramp leading into a building makes a 15 degree angle with the ground. The end of the ramp is 10 feet from the base of the buil

ding. Approximately how long is the ramp? Round to the nearest tenth.

Mathematics
2 answers:
Soloha48 [4]2 years ago
8 0

Answer:

10.4 feet.

Step-by-step explanation:

Let l be the length of the ramp which is leaning against the building,

Given,

The ramp makes a 15 degree angle with the ground.

Also, the distance of one end of ramp from the base of the building = 10 feet,

A building is generally supposed to perpendicular the ground,

Hence, By making the diagram,

We get,

cos 15^{\circ}=\frac{10}{l}   ( Trigonometric ratio ),

\implies l = \frac{10}{cos 15^{\circ}}=10.3527618041\approx 10.4

Therefore, the ramp is approximately 10.4 feet long.

zavuch27 [327]2 years ago
6 0
Trigonometry- use cos ( adjacent/hypotenuse)

You might be interested in
Determine the next step for solving the quadratic equation by completing the square.
Studentka2010 [4]

Answer:

The solutions are x=\frac{1+\sqrt{7}}{2} and x=\frac{1-\sqrt{7}}{2}

Step-by-step explanation:

we have

0=-2x^{2}+2x+3

Group terms that contain the same variable, and move the constant to the opposite side of the equation

-3=-2x^{2}+2x

Factor the leading coefficient

-3=-2(x^{2}-x)

Complete the square. Remember to balance the equation by adding the same constants to each side.

-3-0.5=-2(x^{2}-x+0.5^{2})

-3.5=-2(x^{2}-x+0.5^{2})

Rewrite as perfect squares

-3.5=-2(x-0.5)^{2}

7/4=(x-0.5)^{2}

square root both sides

x-0.5=(+/-)\sqrt{\frac{7}{4}}

x-\frac{1}{2}=(+/-)\frac{\sqrt{7}}{2}

x=\frac{1}{2}(+/-)\frac{\sqrt{7}}{2}

x=\frac{1+\sqrt{7}}{2}

x=\frac{1-\sqrt{7}}{2}

4 0
3 years ago
I need help with this question... phenobarbital elixir contains 2 grams in 1 liter of elixir. How many milligrams of phenobarbit
posledela

To solve this problem, all we need is the conversion factor.

We know that there are:

1 liter = 202.884 teaspoons

 

Therefore the mass of Phenobarbital is:

mass = (2 grams / 1 Liter) * (1 teaspoon) * (1 Liter / 202.884 teaspoons)

<span>mass = 0.00986 g = 9.86 x 10^-3 g = 9.86 mg</span>

8 0
3 years ago
Read 2 more answers
Tom sells baseball cards at 10 for 35 cents. Is that a better deal than 12 for 40 cents?
AVprozaik [17]
For either one of the deals, just find what one card equals and times it by how many cards the other equation has.

e.g. 0.35 cents divide by 10 = 0.035. And now, you times it by 12 since the other deal is 12 cards for 40 cents.

0.035 x 12 = 0.48

So, 10 cards for 35 cents is not the better deal.
7 0
3 years ago
Read 2 more answers
On Friday,
dimaraw [331]
I would make both denominators the same, and the lowest one that works is 18. So I'd make 1/9 into 2/18, and 1/6 into 3/18. They already used these times so combine them to make 5/18 then subtract that from the total time they had (18/18) and you would get 13/18 they spent playing music.
5 0
3 years ago
If the slope of a line is -1 and two points on the line are (-9, 3) and (-10, r), what is the value of r?
ANEK [815]

Answer:

r=4

Step-by-step explanation:

We know that the slope of the line is -1.

We also know that the line passes through (-9, 3) and (-10, r).

We want to find the value of r.

First, let's figure out the equation of our line. We can use the point-slope form:

y-y_1=m(x-x_1)

Where m is the slope and (x₁, y₁) is a point.

So, let's substitute -1 for m. Since we know the point (-9, 3), let's use this for (x₁, y₁).

Substitute:

y-(3)=-1(x-(-9))

Simplify:

y-3=-(x+9)

Distribute:

y-3=-x-9

Add 3 to both sides. So, our equation is:

y=-x-6

It passes through (-10, r) and we want to find the value of r. So, let's substitute -10 for x and r for y, since -10 is our x and r is our y. So:

r=-(-10)-6

Evaluate for r. Distribute:

r=10-6

Subtract:

r=4

So, the value of r is 4.

And we're done!

6 0
2 years ago
Other questions:
  • Given the Function:
    11·2 answers
  • In the xy -plane, what is the y -intercept of the graph of the
    15·1 answer
  • Find the distance from the point (1,4) to the line y = 1/3x - 3
    8·1 answer
  • A number x is greater than 3
    8·2 answers
  • What are the real solutions of the equation x^4= 81?
    13·1 answer
  • Please help I do not understand, please explain!
    10·1 answer
  • Solve the equation.<br> Y/8 =5<br><br> Y=?
    12·2 answers
  • Solve for x please and thank you
    14·2 answers
  • Select the reason that best supports statement 5 in the given proof
    14·1 answer
  • Which function has a vertex at the origin?<br> Help
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!