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andrey2020 [161]
3 years ago
11

Write as a single term: sin(25°) cos(10°) − cos(25°) sin(10°).

Mathematics
1 answer:
eduard3 years ago
3 0

Answer: cos (25° + 10°)

Step-by-step explanation: The expression:

sin(25°) cos(10°) − cos(25°) sin(10°)

is associated to the expression for the cosine of the sum of two angles that is:

cos (α+β) = sinα *cosβ -cosα*sinβ

Hence if we do α = 25° and β = 10°

by subtitution we get:

cos (25° + 10°) = sin(25°) cos(10°) − cos(25°) sin(10°)

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The equation y 10x describes the amount of money Sandra earns, where x is the number of hours she
tester [92]

Answer:

a) $10 per hour

b) Sandra

Step-by-step explanation:

<u>Complete Question:</u>

<em>The equation y 10x describes the amount of money Sandra earns, where x is the number of hours she  works and y is the amount of money she earns </em>

<em>The table shows the amount of money Susan cams for different numbers of hours worked</em>

<em>Susan's Earnings </em>

<em>Time (h)           Money Earned</em>

<em>5                              40</em>

<em>8                              64                </em>

<em>10                             80</em>

<em>(a) How much money does Sandra eam per hour? Show your work </em>

<em>(b) Who earns more per hour? Justify your answer</em>

<em />

<em />

<u>Answer:</u>

a)

y = 10x is sandra's equation. To find her hourly rate, we need to find how much she earns in "1" hour. Since x is hours, we plug in x = 1 and find y (which is her pay).

y = 10x

y = 10(1)

y = 10

$10 is Sandra's hourly rate.

b)

To find who earns more per hour, we need to find the hourly rate of Susan as well from the table. Then compare.

5 hours = $40 so per hour is 40/5 = 8

8 hours is 64, so per hour 64/8 = 8

10 hours is 80, so 80/10 = 8

The table is justified at $8 per hour.

We know Sandra earns $10/hr and Susan earns $8 per hour. So Sandra earns more per hour.

4 0
3 years ago
Use the relationship between the angles in the figure to answer the question.
grigory [225]

Answer:

x = 52, A.

Step-by-step explanation:

The two angles across from each other are both acute angles, which means that considering their positioning, they're gonna equal the same in degrees. If the question were asking to find the value of x on one of the obtuse angles, your answer would be B, considering both of those lines would equal 180 degrees.

Hope that helps!

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3 years ago
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77julia77 [94]

Answer:

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3 0
3 years ago
Please help ASAP! Ill mark brainliest if correct
mote1985 [20]

13 cm also make sure i get my brainliest >:(

6 0
3 years ago
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Order the integers {0, |-20|, -3, 19, -13} from least to greatest
tatiyna

Answer:

-20, -13, -3 0, 19

Step-by-step explanation:

With negative the higher the number the lower the value

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3 years ago
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