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uysha [10]
3 years ago
12

2sin(2x) + 1 = 3sin(2x) Solve for x with exact answers. The domain is 0 ≤ x ≤ π

Mathematics
1 answer:
Temka [501]3 years ago
7 0

Answer:

x = π/4.

Step-by-step explanation:

3sin(2x) = 2sin(2x) + 1

3sin(2x) - 2sin(2x) = 1

1sin(2x) = 1

sin(2x) = 1

When a variable n = π/2, sin(π/2) = 1 [refer to the unit circle].

2x = π/2

x = π/4.

Hope this helps!

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Can someone help answer this question Ive tried a lot and couldnt do it.
aleksklad [387]

Answer:

1222

Step-by-step explanation:

You have a triangular prism on top of a rectangular prism.  The surface area is the sum of the areas of the exposed faces.

Starting with the triangular prism, the surface area is the area of the two triangular bases plus the area of the two rectangular sides (the bottom rectangular face is ignored).

A = ½ (10) (12) + ½ (10) (12) + (13) (9) + (13) (9)

A = 60 + 60 + 117 + 117

A = 354

The surface area of the rectangular prism is the area of the two rectangular bases (front and back), plus the two walls (left and right), plus the bottom, plus the top (minus the intersection with the top prism).

A = (19) (11) + (19) (11) + (9) (11) + (9) (11) + (19) (9) + (19) (9) − (10) (9)

A = 209 + 209 + 99 + 99 + 171 + 171 − 90

A = 868

So the total surface area is:

354 + 868

1222

5 0
3 years ago
NEED ANSWER ASAP!!<br> Find x
sineoko [7]

Step-by-step explanation:

\frac{48}{2x + 7}  =  \frac{40}{5x - 2}  \\ 48(5x - 2) = 40(2x + 7) \\ 240x - 96 = 80x + 280 \\ 240x - 80x = 96 + 280 \\ 160x = 376 \\  \frac{160x}{160}  =  \frac{376}{160}  \\ x = 2.35

6 0
3 years ago
The figure below consists of a triangle, a rectangle, and a trapezoid.
daser333 [38]

Answer:

I am not sure but I think its 42 reason is multiplication I might be wrong if its an exam or test or quiz dont use this answer

Step-by-step explanation:

3 0
3 years ago
It is 1:45 25min later what time is it
marusya05 [52]

Answer:

The answer is 2:10

Step-by-step explanation:

60 mins in an hour. 1:45+25 is 1:70, turn that into ours and you get 2:10.

3 0
3 years ago
Read 2 more answers
Please answer a through d
Elza [17]

Answer:

See explanation below.

Step-by-step explanation:

Given: 100 lbs on Earth is 16.6 lbs on the moon.

a. The independent variable is weight. The gravity of the Moon and the gravity of the Earth are constant. Weight can change, but gravity is a constant.

b. An equation that relates the weight of someone on the Moon who travels to the Earth:

100 / 16.6 = 6.02. Take the Moon weight and multiply by 6.02:

Moon Weight * 6.02 = Earth Weight.

Proof:

16.6 * 6.024 = 99.99 - approximately 100 lbs Earth weight.

c. A 185 lb astronaut on Earth would weigh:

16.6 / 100 = .166. Take the Earth weight and multiply by .166:

185 * .166 = 30 lbs on the Moon.

d. A person who weighs 50 lbs on the Moon:

50 * 6.024 = 301.2 lbs on Earth.

Hope this helps! Have a good day and year! :)

5 0
2 years ago
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