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3 years ago

Solve this for me (geometry)

Mathematics

1 answer:

faust18 [17]3 years ago

4 0

Answer:

YES

Step-by-step explanation:

Any line that is tangent to a circle is always perpendicular to the radius of the circle, forming a right angle at the point of tangency.

Therefore, ∆BAC is a right triangle if it satisfy the pythagorean triple rule which says that c² = b² + a²

Where,

c = the hypotenuse = 30

b = 24

a = 2(9) = 18

Thus:

30² = 24² + 9²

900 = 900 (this is true)

Therefore, line AB is tangent to circle O.

The answer is YES

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F(x)= 2x^3 + 6x^2 -5x - 3, g(x)= 3x-4 find (f-g)(x)

sergeinik [125]

The difference in the given functions is 2x^3 + 6x^2 -8x + 1

<h3>Difference of functions</h3>

Given the following function a shown

f(x)= 2x^3 + 6x^2 -5x - 3

g(x)= 3x-4

Take the difference

(f-g)(x) = f(x) - g(x)

Substitute

(f-g)(x) = 2x^3 + 6x^2 -5x - 3 - (3x - 4)

Expand

(f-g)(x) = 2x^3 + 6x^2 -5x - 3 - 3x + 4

(f-g)(x) = 2x^3 + 6x^2 -8x + 1

Hence the difference in the given functions is 2x^3 + 6x^2 -8x + 1

Learn more on polynomials here: brainly.com/question/2833285

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8 0

2 years ago

The heights of adult males in the United States are approximately normally distributed. The mean height is 70 inches (5 feet 10

steposvetlana [31]

Using the normal distribution, it is found that the probability is 0.16.

<h3>Normal Probability Distribution</h3>

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

It measures how many standard deviations the measure is from the mean.

After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem, the mean and the standard deviation are given by, respectively, $\mu = 70, \sigma = 3$ .

The proportion of students between 45 and 67 inches is the p-value of Z when <u>X = 67 subtracted by the p-value of Z when X = 45</u>, hence:

X = 67:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{67 - 70}{3}$

Z = -1

Z = -1 has a p-value of 0.16.

X = 45:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{45 - 70}{3}$

Z = -8.3

Z = -8.3 has a p-value of 0.

0.16 - 0 = 0.16

The probability is 0.16.

More can be learned about the normal distribution at brainly.com/question/24663213

3 0

3 years ago

Johnny scored a total of 130 points in basketball this season. He scored 117 of those points in the regular season, and the rest

Dimas [21]

Answer:

90%

can u plz make me brainliest?

Step-by-step explanation:

$\frac{117}{130} = \frac{x}{100} \\\\Cross multiply \\ \\11700=130x\\\\Divide on both sides by 130\\\\x=90$

8 0

3 years ago

The temperature in a room begins at 70°F and decreases at a rate of 8 F per hour. Which of the following tables represents this

8_murik_8 [283]

Answer:

there's not options :/ nobody can answer this

6 0

3 years ago

What is the 10% of 3000?

mrs_skeptik [129]

Answer:

300

Have a good day!

4 0

3 years ago