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2 years ago

Solve using the substitution method 8x-2y=-14 5x+y=33 show work

Mathematics

1 answer:

SOVA2 [1]2 years ago

8 0

13x - y = 19
-y = - 13x + 19
y = 13x + 19

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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

3 years ago

Which best models a plan a. floor b. pebble c. jump rope d. stick

Setler79 [48]

Its .A.

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3 0

3 years ago

The school's production of Romeo and Juliet began at 7:45 P.M. The first act lasted 1 hour and 35 minutes. The act was followed

Anika [276]

It should be 9:30 P.M.

7:45+ 15= 8
1 hour 35 minutes - 15= 1 hour 20

8+ 1 hour 20 minutes= 9:20
9:20+ 10= 9:30 P.M.

3 0

3 years ago

Read 2 more answers

Solve for x. −3/4(x+2)=6

Sergio039 [100]

X= -10 I hoped this helped you answer your question!

3 0

3 years ago

Please help I don’t understand!

Olenka [21]

Answer:

16.7552

Step-by-step explanation:

The Area of a sector of a circle is θ/360 pi r²

so,

30/360 x 3.142 x 8 x 8

= 16.7551 to four decimal places is

8 0

2 years ago