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
S_A_V [24]
3 years ago
12

A 12 foot rope is cut into two pieces so that one piece is 3 feet less than twice the length of the other piece. how long is eac

h piece?
Mathematics
1 answer:
olga2289 [7]3 years ago
4 0

12 feet long

 1st piece = x

2nd piece = 2x-3

3x-3 =12

3x=15

x = 5

 1st piece = 5 feet

 2nd piece = 2*5=10-3=7 feet

You might be interested in
Given sin theta = 2/5 and 0 theta 90 find sin 2 theta
Liono4ka [1.6K]

Given:  sin theta = 2/5.  This tells us that the lengths of the opp side and the hyp are 2 and 5 respectively.  The adj side is found using the Pyth. Thm.:  5^2-2^2= 25-4 = 21, so that the adj side is sqrt(21).

The double angle formula for the sine is sin 2theta = 2 sin theta *cos theta.

In this particular problem, the sine of 2theta is 2*(2/5)*[sqrt(21) / 5], or:

                                                                              (4/25)*sqrt(21).

6 0
4 years ago
Read 2 more answers
use the graph of g(x)=3 √x to help you explain why there is only one solution for every cube root equation of the form y=3 √x+a
Leni [432]

Answer:

G(x)=2x32+c

Step-by-step explanation:

4 0
3 years ago
What is the y-intercept of the line 3x2y=-18
Dafna1 [17]
The x intercept is where y=0. If y=0, then 3x=18, so x=6. The y intercept is where x=0. If x=0, then 2y=18, so y=9.
6 0
3 years ago
What is the area of the rectangle above?
Crank

Answer:

A = 33 units^2

Step-by-step explanation:

The area of a rectangle is given by

A = l*w  where l is the length and w is the width

A = 11 * 3

A = 33 units^2

7 0
3 years ago
Read 2 more answers
A 500-foot cable is attached to the top of a tower and is stretched tight to a point that is 350 feet away from the base of the
Fantom [35]

The angle of depression the cable forms is the arctan of the ratio of the

horizontal distance to the height of the tower which is approximately 35°.

Response:

B. 35°

<h3>Which method can be used to find the angle of depression?</h3>

Given:

Height of the tower = 500-feet

Horizontal distance from the (other)  point of attachment of the cable to

the base of the tower = 350-feet.

Required:

The angle of depression formed by the cable.

Solution:

The angle of depression is the angle, θ, the cable forms with the tower

from the top of the tower.

By trigonometric ratios, therefore;

tan(\theta) = \mathbf{\dfrac{Horizontal \ distance \ of \ cable \ from \ tower}{Height\ of \ tower}}

Which gives;

tan(\theta) = \dfrac{350}{500} = \dfrac{7}{10}

  • Angle \ of \ depression, \ \theta = \mathbf{ arctan \left(\dfrac{7}{10} \right) }\approx35^{\circ}

The best correct option is; <u>B. 35°</u>

Learn more about trigonometric ratios here:

brainly.com/question/13276558

8 0
2 years ago
Other questions:
  • Georgia built a model of the Empire State Building that is proportional to the actual building. The actual building is 187 feet
    7·1 answer
  • Write the ordered pair that represents yz. Then find the magnitude of yz . y=14,-23 z=23,-14
    15·2 answers
  • What is the graphs approximate rate of change? A/ -1/2 B/1/2 C/-2 D/2 image https://static.k12.com/nextgen_media/assets/1312641-
    5·1 answer
  • How would u write 6 divided by 72 using long division
    12·1 answer
  • Use the spinner to identify the probability to the nearest hundredth of the pointer
    14·1 answer
  • Divide (16x6 − 12x4 + 4x2) by 4x2.
    5·1 answer
  • Find the odds for and the odds against the event rolling a fair die and getting a 2, a 6, a 5 or a 1,
    13·1 answer
  • 10 Points!!! Which comparison symbol makes each inequality statement true?
    5·2 answers
  • The scatter chart below displays the residuals verses the dependent variable, x. Which of the following conclusions can be drawn
    6·1 answer
  • The recipe calls for 1 1/2 lbs. of ground beef. how much ground beef will jenny need to make enough meat loaf for everyone?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!