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sergey [27]
3 years ago
10

Loren and Julie have different part time jobs after school. They are both paid at a constant rate of dollars per hour. The table

below show Loren and Julie's total income (amount earned) for working a given amount of time.
Loren
Hours
2
4
6
8
10
12
14
16
18
Dollars
18
36
54
72
90
108
?
?
162

Julie
Hours
3
6
9
12
15
18
21
24
27
Dollars
36
?
108
144
180
216
?
288
324

Who makes more per hour?
Mathematics
1 answer:
SSSSS [86.1K]3 years ago
7 0

Answer:

Julie made $3 /hour more than Loren

Step-by-step explanation:

Loren makes 18 /2 = 9 ($9 / hour constant ratio)

Julie: 36 /3 = 12 ($12 / hour)

Julie - Loren = 12 -9 = 3

? in Loren's : 126, 144

? in Julie's : 72, 252

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3 years ago
Find the area of each shaded segment in nearest tenth.
shepuryov [24]

Answer:

Denote the center of circle as O, the 2 endpoints of shaded segment as AB, then we have:

section OAB area = pi x radius^2 x (120/360) = pi x 6^2 x (1/3) = 37.7 (cm2)

Considering triangle OAB, we have OA = OB = radius, angle AOB = 120 deg. Denote OH as the height of triangle. H lies on AB.

=> Applying cosine and sine theorem in right triangle AHO:

OH = OA x cos 60 = 6 x (1/2) = 3 (cm)

AH = OA x sin 60 = 6 x (sqrt3)/2 = 5.2 (cm)

=> triangle AOB area:

A = triangle AOH area x 2

   = AH x OH x (1/2) x 2 = 3 x 5.2 x (1/2) x 2 = 15.6 (cm2)

=> shaded segment area = section OAB area - triangle AOB

                                          = 37.7 - 15.6 = ~21.1 (cm2)

Hope this helps!

:)

7 0
3 years ago
1. The net of the 3D shape below are the blueprints of a tent that’s going to be made. Use this to answer questions (a) and (b)
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A
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8 0
4 years ago
what angle is half of its supplement; the measure of one angle is 15 less than half the measurement of its supplement; complemen
Delvig [45]

So one angle is of measurement 130 degree and the other angle is of measurement 50 degree.

<h3>What are angles?</h3>

When two rays are linked at their ends, they create an angle in geometry. The sides or arms of the angle are what are known as these rays.

When two lines meet at a point, an angle is created.

An "angle" is the measurement of the "pening" between these two rays. It is symbolized by the character. The circularity or rotation of an angle is often measured in degrees and radians.

Angles are a common occurrence in daily life.

Angles are used by engineers and architects to create highways, structures, and sports venues.

According to our question-

One angle's measurement is 15 less than its supplement's measurement.

Let's say that the supplement angle is measured in degrees.

So the measurement of the other angle is

And the sum of the measurement of supplementary angles is 180.

Multiplying both sides by 2

Therefore, one angle is 130 degrees in length and the other is 50 degrees.

learn more about angles click here:

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Answer:

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