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2 years ago

In triangle ABC, sin A = 24 25 . Which other expression has a value of 24 25 ? A) sin B B) cos A C) cos B D) tan A

Mathematics

2 answers:

Svetradugi [14.3K]2 years ago

8 0

I think it's B hope I helped

tino4ka555 [31]2 years ago

5 0

Answer:

Option C). cosB

Step-by-step explanation:

In the picture attached by sin rule sin A = 24/25 means

sin A = BC/AB = 24/25

Now for the same value or same ratio will be of cosine of angle B for which height of the triangle will become base of the triangle.

cos B = BC/AB = 24/25

Therefore option C) cos B is the answer.

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The failure rate for a guided missile control system is 1 in 1,000. Suppose that a duplicate but completely independent control

olga_2 [115]

Answer:

<h2>The reliability is 0.999999.</h2>

Step-by-step explanation:

The failure rate for a guided missile control system is 1 in 1,000.

Hence, the probability that the missile will not fail is $\frac{1000 - 1}{1000} = \frac{999}{1000}$ .

According to the new system, if the first fails, the second can take over.

There are two possibilities, either the first one will be fail or not.

If the first one will not fail, then the probability will be $\frac{999}{1000}$ = 0.999.

If the first one will fail, then the probability will be $\frac{999}{1000} \times\frac{1}{1000} = 0.000999$ .

The reliability of the modified missile is 0.999 + 0.000999 = 0.999999.

6 0

2 years ago

The double number line shows that 3 back-to-school packages contain 36 pencils.

lord [1]

Answer:

The answer is A

Step-by-step explanation:

i just got it right

7 0

2 years ago

Tags are placed to the left leg and right leg of a bear in a forest. Let A1 be the event that the left leg tag is lost and the e

Komok [63]

Answer:

0.75 = 75% probability that exactly one tag is lost, given that at least one tag is lost

Step-by-step explanation:

Independent events:

If two events, A and B, are independent, then:

$P(A \cap B) = P(A)*P(B)$

Conditional probability:

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

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: At least one tag is lost

Event B: Exactly one tag is lost.

Each tag has a 40% = 0.4 probability of being lost.

Probability of at least one tag is lost:

Either no tags are lost, or at least one is. The sum of the probabilities of these events is 1. Then

$p + P(A) = 1$

p is the probability none are lost. Each one has a 60% = 0.6 probability of not being lost, and they are independent. So

p = 0.6*0.6 = 0.36

Then

$P(A) = 1 - p = 1 - 0.36 = 0.64$

Intersection:

The intersection between at least one lost(A) and exactly one lost(B) is exactly one lost.

Then

Probability at least one lost:

First lost(0.4 probability) and second not lost(0.6 probability)

First not lost(0.6 probability) and second lost(0.4 probability)

$P(A \cap B) = 0.4*0.6 + 0.6*0.4 = 0.48$

Find the probability that exactly one tag is lost, given that at least one tag is lost (write it up to second decimal place).

$P(B|A) = \frac{0.48}{0.64} = 0.75$

0.75 = 75% probability that exactly one tag is lost, given that at least one tag is lost

8 0

2 years ago

A turtle walks 7/8 of a mile in 50 minutes. What is the unit rate when the turtle’s speed is expressed in miles per hour?

yKpoI14uk [10]

Answer:

21/20

Step-by-step explanation:

a) One hour is equivalent to 60 minutes.

So we can multiply 50 minutes by the fraction $\frac{1 hour}{60 minutes}$ , so we could convert 50 minutes to hours.

It is:

$50 minutes * \frac{1 hour}{60 minutes}=\frac{50}{60}hours$

If we simplify the fraction, we have:

$50 minutes = \frac{5}{6}hours$

b) In order to express the turtle's speed in miles per hour, we have to divide

$\frac{7}{8}miles$ by $\frac{5}{6}hours$

So:

$\frac{\frac{7}{8}miles }{\frac{5}{6}hours }$

We simplify the expression by multiplying 7 mile by 6 and 8 by 5 hours:

$\frac{\frac{7}{8}miles }{\frac{5}{6}hours}=\frac{42 miles}{40 hours} =\frac{21 miles}{20 hours}$

4 0

2 years ago

Read 2 more answers

The value of a rare painting has increased each year since it was found at a garage sale. The value of the painting is modeled b

solmaris [256]

799 represents the initial value of the painting

The painting will be worth $926 after 5 years to the nearest dollar

Step-by-step explanation:

The form of the exponential function is $f(x)=a(b)^{x}$ , where

a is the initial value ⇒ (at x = 0)
b is the growth/decay factor ⇒ (rate of change)
If b > 1, then the function is growth ⇒ (increasing)
If 0 < b < 1, then the function is decay ⇒ (decreasing)

The value of a rare painting has increased each year since it was

found at a garage sale

The value of the painting is modeled by the function $f(x)=799(1.03)^{x}$

We need to know what 799 represents and what the painting will

be worth after 5 years

∵ $f(x)=799(1.03)^{x}$

∵ The form of the function is $f(x)=a(b)^{x}$

- By comparing the two forms

∴ a = 799 and b = 1.03

∵ a is the initial value at x = 0

∴ 799 represents the initial value of the painting

∵ x represents the number of years

∴ x = 5

- Substitute the value of x in the function by 5

∵ $f(5)=799(1.03)^{5}$

∴ f(x) = 926.26

∴ The painting will be worth $926 after 5 years to the nearest dollar

799 represents the initial value of the painting

The painting will be worth $926 after 5 years to the nearest dollar

Learn more:

You can learn more about the functions in brainly.com/question/10382470

#LearnwithBrainly

6 0

2 years ago