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2 years ago

FIND the value of x. DO NOT POST ANY FILES

Mathematics

1 answer:

spayn [35]2 years ago

7 0

Answer:

Step-by-step explanation:

The tangent segment is perpendicular to the diameter, so the triangle is a right triangle (not just based on its appearance). A property of circles is: a tangent is perpendicular to the radius drawn to the point of tangency.

In the right triangle, one leg has length 12.6, and the hypotenuse has length 21.

Apply the Pythagorean Theorem: (leg)^2 + (leg)^2 = (hypotenuse)^2

Oh, and the diameter has length 2x!

$(2x)^2+12.6^2=21^2\\\\4x^2+158.76=441\\\\4x^2=282.24\\\\x^2=70.56\\\\x=\sqrt{70.56}\\\\x=8.4$

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Answer:

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2 years ago

Joyce Stein borrowed 8,460 from Merchants Trust to pay for some merchandise for her dress shopThe loan is for 45 days at 8.75 pe

disa [49]

Answer:

9.75

Step-by-step explanation:

Calculate the maturity value of a simple interest 8 month loan of Php8000 if the interest rate is 9.75.

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2 years ago

PICK THE CARD AT RANDOM 1 2 3 WHAT IS THE P(FACTOR OF 54)

Aliun [14]

Using it's concept, the probability that a card is a factor of 54 is given by:

P(Factor of 54) = 1.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

In this problem, we have that there are 3 total outcomes, which are the cards 1, 2 and 3.

The factors of 54 are given as follows:

{1, 2, 3, 6, 9, 18, 27, 54}.

All the three cards are factors of 54, hence the probability that a card is a factor of 54 is given by:

P(Factor of 54) = 1.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

5 0

1 year ago

HERES A HARD ONE, is Annie ok?

Oksana_A [137]

Answer:

Her mistake is that she should plot the point (0, 5) first, not (1, -3)

Step-by-step explanation:

First I simplified the equation given.

y - 3 = 2 (x + 1)

y - 3 = 2x + 2

+3 +3

y = 2x + 5

Since 5 is our y-intercept we would want to graph that first, which would be (0, 5) as a point.

Hope this helps!

6 0

1 year ago

Suppose your friends have the following ice cream flavor preferences: 70% of your friends like chocolate (C). The remaining do n

tekilochka [14]

Answer:

The proportion of this group that likes chocolate is 0.625.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Likes sprinkles

Event B: Likes chocolate

25% of your friends who like Chocolate (C) also like sprinkles (S).

This means that $P(A \cap B) = 0.25$

40% of your friends like sprinkles (S) topping.

This means that $P(A) = 0.4$

Of the friends who like sprinkles, what proportion of this group likes chocolate

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.25}{0.4} = 0.625$

The proportion of this group that likes chocolate is 0.625.

5 0

2 years ago