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3 years ago

Indicate in standard form the equation of the line passing through the given points. X(0, 6), Y(5, 6)

1 answer:

8 0

(0,6)(5,6)
notice how the y values are they same.....this means u have a horizontal line with a 0 slope.

y = 0x + 6...slope intercept form
0x + y = 6 <==== standard form

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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

the perimeter of a square is 20 ft if you increase the length of the square by 2 feet and decrease the width by 1ft what is the

IrinaVladis [17]

Answer:

28 ft squared

Step-by-step explanation:

The 4 sides of a square are equal in length, so if the perimeter is 20ft that means each side would have to be 5ft, (20/4 = 5). If you increase the length by 2ft, one of the sides would now become 7ft (5+2 = 7). If you decrease the length of the other side by 1ft, the length would now be 4ft (5-1=4). Now to find the area, all you have to do is length * width. So you would do 7ft*4ft which is 28ft squared.

4 0

3 years ago

4 x tiles and 3 negative tiles = 5 x tiles and 4 positive tiles. Examine the algebra tiles. Which equation is being modeled? 4x

Andru [333]

Answer:

4x + (–3) = 5x + 4

Step-by-step explanation:

i got it right on edge. :)

9 0

2 years ago

Read 2 more answers

What’s 82828282 + 28828282818828282

faust18 [17]

Answer:

2.8828283e+16

Step-by-step explanation:

5 0

3 years ago

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A circle with area 100π has a sector with a central angle of 2/5π radians.

Snowcat [4.5K]

Answer:

20π square units

Step-by-step explanation:

The sector area is found using the proportion ...

sector area / circle area = sector angle / whole circle angle

Multiplying by "circle area", we get ...

sector area = (circle area)( sector angle / whole circle angle)

= (100π)(2/5π)/(2π)

= (100π)(1/5)

sector area = 20π

3 0

3 years ago