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3 years ago

AB is tangent to circle O. If AO=24 and BC=50, what is AB? The diagram is not to scale.

Mathematics

1 answer:

Oksana_A [137]3 years ago

8 0

Answer:

The correct option is 70

Step-by-step explanation:

It is a right triangle so we will use Pythagorean theorem to find AB:

We have One side = 24 and hypotenuse = 24+50 which is 74

Now apply Pythagorean theorem:

AB = √(74)²-(24)²

AB = √5476-576

AB= √4900

Take the square root of 4900.

AB= 70

Thus the correct option is 70....

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What percent of a is b? Please put your answer in percent.

just olya [345]

Answer:

If you know two number a and b and need find, b is what percentage of a, P=b

- 100%

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3 years ago

What is the probability that a randomly selected permutation of the letters A, A, C, C, L, L, O, R, T, U would spell "calculator

kirill [66]

Answer:

See explanation

Step-by-step explanation:

Total number of letters = n! = 10

Permutation for 10 letters = n!

= 10!

= 10*9*8*7*6*5*4*3*2*1

= 3628800

From n letters:

Number of A = 2

Number of C = 2

Number of L = 2

A₁, A₂, C₁, C₂, L₁, L₂, O, R, T, U

Out of 3628800 permutations the word calculator can be spelled as:

C₁ A₁ L₁ C₂ U L₂ A₂ T O R

C₂ A₂ L₂ C₁ U L₁ A₁ T O R

and so on

So total number of different permutations are

(permutation of number of letters) / permutation of (number of As * number of Cs * number of Ls)

= 10! / (2! 2! 2 !)

= 10*9*8*7*6*5*4*3*2*1 / (2*1) (2*1) (2*1)

= 3628800 / 2 * 2 * 2

= 3628800 / 8

= 453600

Hence probability that a randomly selected permutation of the letters A, A, C, C, L, L, O, R, T, U would spell "calculator" is:

1 / total number of different permutations

= 1 / 10! / (2! 2! 2 !)

= 1/453600

= 0.000002

8 0

3 years ago

Reese is selling lemonade at the parade. He gets to keep 50% of the money he collects. A large lemonade is

lesya692 [45]

Answer:

.5(5I)+.5(2s)

Step-by-step explanation:

3 0

3 years ago

Please help me I don't know what this is I will mark brainliest

lyudmila [28]

Answer:

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2 years ago

The position of a particle on the x-axis at time t, t > 0, is s(t) = ln(t) with t measured in seconds and s(t) measured in fe

Mrrafil [7]

Answer:

C. The quotient of the natural logarithm of 2 and e.

Step-by-step explanation:

The position of a particle on the x-axis at time t, t > 0, is given by

$s(t) = \ln(t)$

with t is in seconds and s(t) is in feet.

The rate of change is,

= $\dfrac{f(b)-f(a)}{b-a}$

So rate of change of position or average velocity, for e ≤ t ≤ 2e will be,

$=\dfrac{\ln2e-\ln e}{2e-e}$

$=\dfrac{\ln2e-\ln e}{e}$

$=\dfrac{\ln\frac{2e}{e}}{e}$

$=\dfrac{\ln2}{e}$

Therefore, option C is the correct answer.

8 0

3 years ago

Read 2 more answers