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2 years ago

- Keisha has four letter cards that spell out the word MATH. Keisha picks four cards, one at a

Mathematics

1 answer:

zubka84 [21]2 years ago

5 0

Answer:

1/24

Step-by-step explanation:

1/4 x 1/3 x 1/2 x 1/1

1/24

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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

Mr. Anders was three times as old as Kate 5 years ago. Their total age now is 42 years. How old is Kate now?

katrin [286]

We can write this as two equations. Call Mr. Anders' age A and Kate's age K:
$A-5=3(K-5)$
$A+K=42$

Then solve for A in the second equation:
$A=42-K$

Substitute this into the first equation:
$(42-K)-5=3(K-5)$
$-K+37=3K-15$
$52=4K$
$K=13$

6 0

3 years ago

If 3 pounds of apples cost $3.85, how much will 18<br> pounds of apples cost?

Mekhanik [1.2K]

Answer: $23.10

Step-by-step explanation:

18/3 = 6

3.85 x 6 = $23.10

8 0

3 years ago

What was the computer's initial price?

Anastaziya [24]

Answer:

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7 0

3 years ago

Geometry- The base of a triangle is sqrt 18 cm and it’s height is sqrt 8 cm find it’s area.

inn [45]

Answer:

72 Centimeters

Explanation:

Formula for area: 1 /2 b · h

b = Base (18 cm.)

h = height (8 cm.)

1 / 2 Base: 9

height: 8

9 · 8 = 72

Therefore the area of the triangle is 72 centimeters

6 0

3 years ago