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2 years ago

What angles are congruent to angle 4

Mathematics

1 answer:

NemiM [27]2 years ago

7 0

Answer:

1, 5, 8

Step-by-step explanation:

1 is a vertical angle with angle 4, so is congruent.

5 is an alternate interior angle with angle 4, so is congruent.

8 is a corresponding angle with angle 4, so is congruent.

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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

What number is mid way between 2/3 and 1

horsena [70]

5/6 is an answer to your question

6 0

2 years ago

Read 2 more answers

Can someone please help

AleksandrR [38]

Answer:

(x+5) and (x-7).

Step-by-step explanation:

The given equation is :

$x^2-2x-35$

We need to write it in factored form.

We know that,

7×5 = 35 and 7-5 = 2

So,

$x^2-2x-35=x^2-7x+5x-35\\\\=x(x-7)+5(x-7)\\\\=(x+5)(x-7)$

Hence, the required factors are (x+5) and (x-7).

3 0

2 years ago

Work out an expression, in terms of x, for the perimeter of the shape.<br> Simplify your answer.

sammy [17]

Answer:1+3x+9+x+8+2x= 6x+9

so =3(x+3)

Step-by-step explanation:

7 0

2 years ago

The length of the path of the first swing of the bob of a pendulum is 0.6 in. Each

ycow [4]

Answer:

0.3188646

Step-by-step explanation:

an=a×r^n-1

a6=0.6×0.9^5

=0.354294

1st swing: 0.6

2nd swing: 0.9×0.6=0.54

3rd swing: 0.9×0.54= 0.486

4th 0.9×0.486= 0.4374

5th 0.9×0.4374= 0.39366

6th 0.9×0.39366=0.354294

Brainliest please~

8 0

2 years ago