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2 years ago

Select the postulate of equality or inequality that is illustrated 5 = 5

Mathematics

1 answer:

Oliga [24]2 years ago

7 0

reflexive postulate of equality

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given that sin theta= 1/4, 0 is less than theta but less than pi/2, what is the exact value of cos theta

lapo4ka [179]

Answer:

$\cos{\theta} = \frac{\sqrt{15}}{4}$

Step-by-step explanation:

For any angle $\theta$ , we have that:

$(\sin{\theta})^{2} + (\cos{\theta})^{2} = 1$

Quadrant:

$0 \leq \theta \leq \frac{\pi}{2}$ means that $\theta$ is in the first quadrant. This means that both the sine and the cosine have positive values.

Find the cosine:

$(\sin{\theta})^{2} + (\cos{\theta})^{2} = 1$

$(\frac{1}{4})^{2} + (\cos{\theta})^{2} = 1$

$\frac{1}{16} + (\cos{\theta})^{2} = 1$

$(\cos{\theta})^{2} = 1 - \frac{1}{16}$

$(\cos{\theta})^{2} = \frac{16-1}{16}$

$(\cos{\theta})^{2} = \frac{15}{16}$

$\cos{\theta} = \pm \sqrt{\frac{15}{16}}$

Since the angle is in the first quadrant, the cosine is positive.

$\cos{\theta} = \frac{\sqrt{15}}{4}$

3 0

2 years ago

16d + 20c + 5d -7 - 8c - 7d + 3 Simplify the expression above:

romanna [79]

Answer:

14d + 12c -4

Step-by-step explanation:

6 0

2 years ago

A baseball stadium sold some burgers. 2,806 were cheeseburgers. 1,679 burgers didn’t have cheese. How many burgers did they sell

kodGreya [7K]

Answer:

4485

Step-by-step explanation:

1679+2806= 4485

Hope this helps! :)

7 0

2 years ago

Find the volume of the wedge cut from the first octant by the cylinder z=12-3y^2 and the plane x+y=2.

LuckyWell [14K]

Answer:

The wedge cut from the first octant ⟹ z ≥ 0 and y ≥ 0 ⟹ 12−3y^2 ≥ 0 ⟹ 0 ≤ y ≤ 2

0 ≤ y ≤ 2 and x = 2-y ⟹ 0 ≤ x ≤ 2

V = ∫∫∫ dzdydx

dz has changed from zero to 12−3y^2

dy has changed from zero to 2-x

dx has changed from zero to 2

V = ∫∫∫ dzdydx = ∫∫ (12−3y^2) dydx = ∫ 12(2-x)-(2-x)^3 dx =

24(2)-6(2)^2+(2-2)^4/4 -(2-0)^4/4 = 20

Step-by-step explanation:

8 0

3 years ago

1.5d + 3.25 = 1 + 2.25d ---What are the steps to find x?

yuradex [85]

Do u mean d?

1.5d +3.25 = 1 +2.25d
3.25 = 1 + .75d -1.5d on both sides
2.25 = .75d subtraction 1 on both sides
3 = d divide both sides by .75

3 0

3 years ago