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
aleksley [76]
3 years ago
13

The cable supporting a ski lift rises 2 feet for each 5 feet of horizontal length. The top of the cable is fastened 1320 feet ab

ove the cable’s lowest point. Find the lengths b and c, and find the measure of the angle theta.
Mathematics
1 answer:
ollegr [7]3 years ago
5 0
The resulting triangle is a right triangle with the third side given:
First, the angle can be solved using the given rise and run of the cable. So,
tan θ = 2 / 5
θ = 15.95°

Next, the lengths b and c can be solved using the solved angle:
tan 15.95 = 1320 / b
b = 3300 ft

The hypotenuse or c can be solved by trigonometric functions or using Pythagorean theorem, using the sine function:
sin 15.95 = 1320 / c
c = 4804 ft
You might be interested in
Explain how you can tell, without computing, whether the quotient one -half divided into 6 is greater than one or less than one
Helga [31]
If you take 1/2 of a pizza and divide it up between 6 people, will you have more than 1 whole Pizza or less than 1 whole pizza?

If you divide up a fraction into smaller pieces it will always be less than 1 because it started out less than 1 and you're making it even smaller.
8 0
3 years ago
Denise makes three times as many chocolate cupcakes as vanilla cupcakes. She also makes three dozen strawberry cupcakes. If Deni
slamgirl [31]

Answer:

6 dozens

Step-by-step explanation:

Vanilla, v = x

Chocolate, c = 3x

Strawberry, s = 3 dozens = 36

Total cupcakes = 132

Hence,

x + 3x + 36 = 132

4x = 96

x = 96 / 4

x = 24

Chocolate = 3 * 24 = 72

Dozens of chocolate = 72 /12 = 6 dozens

7 0
3 years ago
There are 24 pictures on a roll of film. Adelle had 84 pictures from her trip home. She said that 12 other pictures were spoiled
galina1969 [7]
The answer is 4.

There were in total 96 pictures (84 pictures  + 12 spoiled = 96 pictures).
1 roll of film has 24 pictures. x rolls of film have 96 pictures.
1 : 24 = x : 96
x = 1 * 96 : 24
x = 4


6 0
3 years ago
Determine the derivative of y=x^2+xy
ratelena [41]
Hey I just started this test to that's funny lol
7 0
3 years ago
The quotient rule for exponents states that bm bn=​_______, b≠0 . When dividing exponential expressions with the same nonzero​ b
wariber [46]

Answer:

The quotient rule for exponents states that b^{m}\div b^{n}=b^{m-n}.

When dividing exponential expressions with the same nonzero​ base, <u>subtract</u> the exponents.

Step-by-step explanation:

Some rules to solve exponents are:

  • x^{0}=1
  • (x^{m})^{n}=x^{mn}
  • x^{-n}=\frac{1}{x^{n}}
  • x^{m}\cdot x^{n}=x^{m+n}
  • \frac{x^{m}}{x^{n}}=x^{m-n}

The quotient rule for exponents states that:

b^{m}\div b^{n}=b^{m-n}.

When dividing exponential expressions with the same nonzero​ base, <u>subtract</u> the exponents.

3 0
3 years ago
Other questions:
  • Which represents the solution set of 5(x+5) &lt;85?
    6·1 answer
  • Solve by graphing. x2 + 2x – 3 = 0
    11·2 answers
  • 10+2 =12 12-2=10 what are these operations called?
    11·1 answer
  • What is the slope of the line in the graph?<br>​
    5·2 answers
  • Need help on this please
    7·1 answer
  • Que % es 25 de 200<br>que % es 30 de 480<br>que % es 65 de 80<br>que % es 24 de 30​
    10·1 answer
  • If you need to put tile on your kitchen floor, do you need to know the perimeter or the area of the kitchen?
    9·2 answers
  • Which of these is equal to 35 (8 – 3)? A. (35 + 8) – (35 + 3) B. (35 × 8 ) + (35 × 3) C. (35 × 8) – (35 × 3) D. (35 × 11)
    11·1 answer
  • Is algebra.
    9·2 answers
  • without building the graph, find the coordinates of the point of intersection of the lines given by the equation y=3x-1 and 3x+y
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!