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taurus [48]
3 years ago
11

Teds earning (e) for walking dogs is proportional to the number of hours (h) he spends walking them. If r represents the hourly

rate, which statements are correct for this situation?
A) e = rh
B) e/h = r
C) the hourly rate is the constant of proportionality
D) The number of hours is the constant of proportionality
E) e = r/h
Mathematics
2 answers:
kkurt [141]3 years ago
4 0

Answer:

Step-by-step explanation:

It’s e=rh

Leona [35]3 years ago
4 0

The answers are

A. e = rh

B. e/h = r

C. The hourly rate is the constant of proportionality

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Jon is in a raft 100m from the base of a 54m cliff. What is the angle of depression from the he top of the cliff to the raft? Le
kvv77 [185]

Answer:

28.4 degrees

Step-by-step explanation:

In the diagram attached

Height of the cliff, AB=54 m

Distance of the raft to the base of the cliff, AC=100m

We want to determine the angle of depression from the top of the cliff to the raft. This is angle OBA.

\angle OBA = \angle BAC $ (Alternate Angles)\\Therefore, in the right triangle ABC\\\tan A =\dfrac{BC}{AC}\\ \tan A =\dfrac{54}{100}\\\tan A =0.54\\A=\arctan 0.54\\A=28.4^\circ$ (to the nearest tenth)

The angle of depression from the top of the cliff to the raft is 28.4 degrees correct to the nearest tenth.

5 0
3 years ago
What is the equation of the line that passes through the points (0, 4) and (3, -2)?
iren2701 [21]

Answer:

c. y=-2x+4

Step-by-step explanation:

Plug in x=0 and y=4 for y=-2x+4

4=-2(0)+4

4=4

Plug in x=3 and y=-2 for y=-2x+4

-2=-2(3)+4

-2=-2

8 0
3 years ago
If L is parallel to M, find the value of each missing variable(s)
nevsk [136]

Answer:

5. x = 13

6. x = 11; y = 3

Step-by-step explanation:

5. (9x + 2)° = 119° (alternate interior angles are congruent)

9x + 2 = 119

Subtract 2 from each side

9x + 2 - 2 = 119 - 2

9x = 117

Divide both sides by 9

\frac{9x}{9} = \frac{117}{9}

x = 13

6. (9x + 25)° = (13x - 19)° (corresponding angles are congruent)

9x + 25 = 13x - 19

Collect like terms

9x - 13x = - 25 - 19

-4x = -44

Divide both sides by -4

\frac{-4x}{-4} = \frac{-44}{-4}

x = 11

(13x - 19)° + (17y + 5)° = 180° (linear pair)

13x - 19 + 17y + 5 = 180

Plug in the value of x and solve for y

13(11) - 19 + 17y + 5 = 180

143 - 19 + 17y + 5 = 180

Collect like terms

129 + 17y = 180

Subtract 129 from both sides

129 + 17y - 129 = 180 - 129

17y = 51

Divide both sides by 17

\frac{17y}{17} = \frac{51}{17}

y = 3

5 0
3 years ago
Someone helpppppppp pleaseeeeeee
laila [671]

So here is one thing that might help. Look at both the 1st and 3rd triangles, they have a right angle, just like the one you are trying to figure out. The centemeters is 4 for the longest side and the decimal, 0.57, is going to be multiplied 4 times. The decimal would be 2.28 when multiplied, and the angle is the same as the two triangles I spoke at the second sentence. x is equal to 2.28 but we need to change it to 1 decimal place, meaning that it is 2.3.

Hope this helped!

Nate

6 0
4 years ago
If the clock has a radius of 15 inches, how many inches of ribbon will terry need to use to surround the clock?
yan [13]
The circumference is C=2*3.14*r
r=15 inches
C=2*3.14*15=94.20 inches of ribbon 
4 0
3 years ago
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