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Paladinen [302]
3 years ago
9

Find the value of x and the value of y.

Mathematics
1 answer:
mezya [45]3 years ago
3 0
Answer i pick is A. got to MULTIPLE BY 2 FOR X
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Round to one decimal place (BRAINLIEST)
Semmy [17]

Answer:

4.3

Step-by-step explanation:

Apply trigonometric ratios to find the answer.

Firstly, we need to find the measure of angle theta. In order to do this, we will use triangle BAD.

From angle theta, the trigonometric ratio sine can be used:

sinθ = \frac{4.1}{5.3}

After we find the value, we take the inverse sine of it and the result is approximately 50.7 degrees.

Now, knowing that angles BAD and CAD are the same, we can solve for CD using trigonometric ratio sine.

sin50.7 = opposite/hypotenuse

sin50.7 = CD/5.5

sin50.7 * 5.5 = CD

4.3 ≈ CD

8 0
3 years ago
Use the slope-intercept method to graph the equation y=2x-4. Is (3,2) a solution?
Andru [333]
Yes, (3, 2) is a solution to y = 2x - 4. (:
8 0
2 years ago
Read 2 more answers
Given a soda can with a volume of 36 and a diameter of 4, what is the volume of a cone that fits perfectly inside the soda can?
spin [16.1K]
First we need to find the heigh of the soda can be rearanging the volume formula, . We can make that  We know that V is 36 and radius is half of the diameter, so radius is 2. 

h = 2.87

Now, we can use the height to figure out the volume of a cone. The volume of a cone is 
R is 2 again and h is 2.87


12.56*.96 = 12.0576
So a cone with a volume of 12.0576 is the largest that will fit into the soda can
6 0
3 years ago
Read 2 more answers
How do you solve this absolute value equatuon? 4|x - 1| - 7 = -3
MatroZZZ [7]
4|x - 1| - 7 = -3    |add 7 to both sides

4|x - 1| = 4    |divide both sides by 4

|x - 1| = 1 ⇔ x - 1 = 1 or x - 1 = -1    |add 1 to both sides

x = 2 or x = 0

Answer: B.
3 0
3 years ago
Find the times (to the nearest hundredth of a second) that the weight is halfway to its maximum negative position over the inter
hoa [83]

Answer:

0.20 and 0.36

Step-by-step explanation:

y(t) = 2 sin (4π t) + 5 cos (4π t)

We wish to convert this to:

y = A sin(ωt + φ)

We know that ω = 4π.  We also know the following:

5 = A sin φ

2 = A cos φ

Divide the first equation by the second equation:

5/2 = tan φ

φ = tan⁻¹(5/2)

Now, square the two equations and add them together.

5² + 2² = (A sin φ)² + (A cos φ)²

29 = A²

A = √29

The equation of the wave is therefore:

y = √29 sin(4π t + tan⁻¹(5/2))

The maximum negative position is -√29.  And half of that is -½√29.

-½√29 = √29 sin(4π t + tan⁻¹(5/2))

-½ = sin(4π t + tan⁻¹(5/2))

7π/6 + 2kπ or 11π/6 + 2kπ = 4π t + tan⁻¹(5/2)

7 + 12k or 11 + 12k = 24t + 6 tan⁻¹(5/2) / π

t = (7 + 12k − 6 tan⁻¹(5/2) / π) / 24 or (11 + 12k − 6 tan⁻¹(5/2) / π) / 24

Trying different integer values of k, we find there are two possible values for t between 0 and 0.5, both when k = 0.

t = (7 − 6 tan⁻¹(5/2) / π) / 24 or (11 − 6 tan⁻¹(5/2) / π) / 24

t ≈ 0.20 or 0.36

5 0
2 years ago
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