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4 years ago

In a right triangle, the sine of an angle is 0.226. What is the cosine of the same angle?

Mathematics

1 answer:

Anvisha [2.4K]4 years ago

6 0

Answer:

about 0.974

Step-by-step explanation:

The Pythagorean theorem tells you the other leg of the right triangle is ...

cos(angle) = √(1 -sin(angle)²) = √(1 -0.051076) = √0.948924

cos(angle) ≈ 0.974127 ≈ 0.974

You can use your calculator to find the angle, then its cosine:

cos(angle) = cos(arcsin(0.226)) ≈ 0.974

You don't need to know the angle, and it doesn't matter whether it is in radians or degrees. (It is about 13.06° or 0.2280 radians.)

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Which of the following are the coordinates of the vertex of y = −x2 + 2x + 1? (2, 1) (1, –2) (1, 2) (–2, 1)

IceJOKER [234]

Answer:

Step-by-step explanation:

We want to determine the vertex of the quadratic equation:

$\displaystyle y = -x^2 + 2x + 1$

Recall that the vertex is given by the formulas:

$\displaystyle \text{Vertex} = \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)$

In this case, a = -1, b = 2, and c = 1.

Determine the x-coordinate of the vertex:

$\displaystyle x = -\frac{(2)}{2(-1)} = 1$

To determine the y-coordinate, evaluate the function at x = 1:

$\displaystyle \begin{aligned} y(1)&= -(1)^2 + 2(1) + 1 \\ &= 2\end{aligned}$

In conclusion, the vertex of the quadratic equation is (1, 2).

Hence, our answer is C.

3 0

3 years ago

Suppose the probability that a softball player gets a hit in any single at-bat is 0.300. Assuming that her chance of getting a h

Ksivusya [100]

Answer:

$P(X=4)=(1-0.3)^{4-1} 0.3 = 0.103$

The probability that she will not get a hit until her fourth time at bat in a game is 0.103

Step-by-step explanation:

Previous concepts

The geometric distribution represents "the number of failures before you get a success in a series of Bernoulli trials. This discrete probability distribution is represented by the probability density function:"

$P(X=x)=(1-p)^{x-1} p$

Let X the random variable that measures the number os trials until the first success, we know that X follows this distribution:

$X\sim Geo (1-p)$

Solution to the problem

For this case we want this probability

$P(X=4)$

And using the probability mass function we got:

$P(X=4)=(1-0.3)^{4-1} 0.3 = 0.103$

The probability that she will not get a hit until her fourth time at bat in a game is 0.103

4 0

3 years ago

s344n2d4d5 [400]

Answer:

D.) 8:00

It’s a geometric problem so when plugged in you get answer D

7 0

3 years ago

A scale measures weight to the nearest 0.1 pounds. Which is the most appropriate way to report weight using this scale?

Pani-rosa [81]

The question is kind of vague in my opinion.

the best measurement to report with the scale in my opinion would be tens of pounds. my reasoning is because the decimal place would still prove importance with numbers under one hundred. above one hundred pounds and the decimal place becomes kind of pointless.

I hope I answered your question. though i'm sorry if i didn't

8 0

4 years ago

Write 6 11/13 as an improper fraction.

hoa [83]

Answer:

89/13

Step-by-step explanation:

Step 1:

Multiply the denominator by the whole number

13 × 6 = 78

Step 2

Add the answer from Step 1 to the numerator

78 + 11 = 89

Step 3

Write answer from Step 2 over the denominator

89/13

3 0

3 years ago