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
stealth61 [152]
3 years ago
14

A 12-foot board rests against a wall. The angle that the board makes with the ground is 60°. How far is the base of the board aw

ay from the wall? Select the correct trig ratio and distance from wall.
Mathematics
2 answers:
denis-greek [22]3 years ago
7 0

Answer:

A. cos 60° = ; x = 6 feet

Step-by-step explanation:

apex

nikdorinn [45]3 years ago
3 0

Answer:

6 feet

Step-by-step explanation:

The length of the board, 12 feet, will be the hypotenuse of the right triangle.  The measure of the distance from the board to the wall will be the unknown leg.  This is adjacent to the 60° angle.  This gives us the ratio

adjacent/hypotenuse, which is the ratio for cosine.  This gives us the equation

cos 60 = x/12

Multiply both sides by 12:

12(cos 60) = (x/12)(12)

12(cos 60) = x

6 = x

The board is 6 feet from the wall.

You might be interested in
What is the volume of the rectangular prism 10.4mm 5mm 8mm
alina1380 [7]
The answer too this problem is 416.
7 0
3 years ago
Read 2 more answers
Please help.. I got stuck on this question please help and explain
Inessa [10]
Jay is wrong about his claim
8 0
3 years ago
Read 2 more answers
A glassware seller bought 1000 glass tumblers. 100 of them were broken and she sold the remaining tumbler at Rs 80 each. If she
Anton [14]

Answer:

$75

My answer might be a bit off since I'm not really sure what you mean by "Rs 80", which I interpreted as $80, but if my interpretation is wrong, you can still use all the same steps and you should get the correct answer

Step-by-step explanation:

So we can represent the price of each tumbler as the variable "P", since it's some unknown value we're solving for. Let's also just say that "T" is the total price that she paid for all of the tumblers.

Using this equation we can derive the following equation.

1000P = T

Since multiplying the price of each glass tumbler times the price of one glass tumbler should equal the entire price.

Now she only sold 900 of them, since 100 were broken, and she sold them each for 80. So knowing this we can find how much she made in total from selling the remaining 900 glass tumblers

900 * 80 = 72,000

Now if she made a loss of 4%, that means the total money she made back, is only 96% the amount of money she paid for the product. The reason for this is (100-4)% represents a 4% loss.

Remember, how T represents the entire price, well we know that 72,000 represents 96% of it's value. To find what x% is of some number, you generally convert the percentage into a decimal by dividing by 100, so to find x% of some variable "a" you generally use the following equation: a*\frac{x}{100} where the value of this expression will be equal to x% of a.

So let's convert 96% to decimal form: \frac{96}{100} = 0.96. Now if we multiply this decimal 0.96 by T, we should get 72,000 since the 72,000 represents 96% of the original value

0.96T = 72,000

To find the original value of T, we simply divide both sides by 0.96

T = 75,000

So now that we know the original total price, we can use the original equation we derived to solve for P, which represents the price of each individual tumbler.

Original Equation

1000P = T

Substitute 75,000 as T

1000P = 75,000

Divide both sides by 1,000

75=P

This means she sold each for 75

3 0
1 year ago
Which is the same as moving the decimal point 3 places to the left in decimal number?
oksano4ka [1.4K]
Multiply it by -1000
7 0
3 years ago
NEED ANSWER NOW!!! Steven has one bag that contains three table tennis balls numbered 1, 2, and 3. He also has a second bag that
alina1380 [7]

Answer:

P(1, B) = 1/12

Step-by-step explanation:

if given one group of 3 objects, in this case tennis balls labeled 1, 2, and 3. And another group of 4 objects, labeled a, b, c, and d. the combined probability would be 1/3 * 1/4 = 1/12. This is because there is a 1/3 chance of picking one particular object from a set of 3 total objects, and a 1/4 chance of picking one particular object from a set of 4 total objects.

4 0
3 years ago
Other questions:
  • Somebody plz me on this real quick
    15·1 answer
  • Simplify<br> (5x^7y^3z^-1)^2x(2xy^-5)^3x(2y^-3z^2)^3
    6·1 answer
  • What is the value of x in the equation −x = 3 − 4x
    10·2 answers
  • What are the values of a and b in the equation (4x^a)^b = 256/x^8
    14·2 answers
  • Can someone help me, please I've been getting so many wrong if you get it right I'll give brainiest
    8·1 answer
  • <img src="https://tex.z-dn.net/?f=%20%5Chuge%20%5Ccolor%7Borange%7D%5Cmathbb%7BQUESTION%7D%20" id="TexFormula1" title=" \huge \c
    11·2 answers
  • If a sequence of 8 consecutive odd integers with increasing values has 9 as its seventh term. What is the sum of the terms of th
    10·1 answer
  • 100 CD’s cost $16.67. How much does one CD cost? Round to the nearest cent.
    9·1 answer
  • Pls, Help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    15·1 answer
  • What is the remainder for 6081 divided by 47
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!