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2 years ago

En Vision Algebra 2

Mathematics

1 answer:

jeyben [28]2 years ago

5 0

Step-by-step explanation:

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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

Solve.

Furkat [3]

Answer:

-0.03

Step-by-step explanation:

-59x+3.2=5

-59x=5-3.2

-59x=1.8

x=1.8/-59

x=-0.03

3 0

1 year ago

Lola's age is 14 more than 6 times Juan's age. The sum of their ages is 35. How old is each?

earnstyle [38]

35 - 14 = 21

3 * 6 = 18

3.5 * 6 = 21

Thus Juan is around the age of 3.5 and Lola is 31.5 I believe

Im not quite sure however I think this is the answer, I hope it helps ^-^

4 0

2 years ago

H(t) = 3t2 + 4t

Anarel [89]

Answer:

first we need to substitute g(t) value in h(t) value and then evaluate the expression as follows :

h(g(t))=3(t-1)²+4(t-1).

by solving

h(g(t))=3(t²+1-2t)+4t-4

h(g(t))=3t²-2t-1 will.be the final answer

7 0

2 years ago

Factor out 3^2 ^3−18^2 ^4

34kurt

The factor of three is six factor of two is to 3 is three factor of two is 22 is four and poster of four is 22 Answer

3 0

2 years ago