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2 years ago

Deanna is 2 years less than twice as old as Tyler l. The sum of their ages is 22. How old is each?

Mathematics

1 answer:

PtichkaEL [24]2 years ago

5 0

they are 11 years old

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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 of the following is a perfect square? A. 169 B. 154 C. 279 D. 115

castortr0y [4]

169 = 13²

Answer is A. 169

4 0

2 years ago

Read 2 more answers

In a sample of students, 125 said they exercise on a regular basis. How large was the sample if 27.3% said they exercised on a r

krek1111 [17]

First, let's declare a variable

x = # of students

Now, let's create an equation to model the problem.

x * 0.273 = 125

Divide both sides by 0.273

x = 457.8 = 458 students.

Note, I rounded to the nearest whole number.

5 0

2 years ago

Read 2 more answers

Solve for x: a) x=70 b) x=180 c) x=40 d) x=90

Serga [27]

Answer:

a) x = 70

Step-by-step explanation:

70 (2) +20 +20

140 + 40

180

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2 years ago

Una funzione inversamente proporzionale è rappresentata da?

puteri [66]

Supponiamo che due variabili x e y siano inversamente proporzionali; allora possiamo rappresentarli come x ∝ 1 / y. Ciò significa che se il valore di x aumenta, il valore di y diminuisce e viceversa.

Suppose two variables x and y are inversely proportional; then we can represent them as x ∝ 1/y. That means, if the value of x increases, then the value of y decreases and vice versa.

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2 years ago