All categories

3 years ago

please help as soon as possible-Solve the right triangle shown in the figure. WIll mark brainliest to first correct answer

Mathematics

1 answer:

Dennis_Churaev [7]3 years ago

6 0

Answer:

option a is the correct answer; ∠A = 68°, ∠B = 22°, AB = 2.9 cm

Step-by-step explanation:

From my understanding, we have to find angle A, angle B and side AB.

Step 1: Find side AB

AB can be solved through the Pythagoras theorem.

c² = a² + b²

c² = 2.7² + 1.1²

c² = 8.5

c = √8.5

c = 2.9 cm

Step 2: Find angle A

Angle A can be found through tan formula

tan (angle) = opposite/adjacent

tan (angle A) = BC/AC

tan (angle A) = 2.7/1.1

Angle A = tan inverse (2.7/1.1)

Angle A = 68°

Step 3: Find angle B

All 3 angles of a triangle are equal to 180°

Angle A + Angle B + Angle C = 180°

68 + B + 90 = 180°

Angle B = 22°

option a is the correct answer; ∠A = 68°, ∠B = 22°, AB = 2.9 cm

You might be interested in

Solve Word

alisha [4.7K]

Answer:

40 girls, 88 people total

Step-by-step explanation:

boys : girls

6 : 5

48 : ?

6 x 8 = 48, 5 x 8 = 40

40 girls

48 + 40 = 88

88 people total

4 0

3 years ago

Can someone edit the the middle of my poem by adding literary devices like personification, alliteration, simile's, etc.

8090 [49]

Personification: They danced in the wind or They laughed I'm coming I'm coming

5 0

4 years ago

Determine whether the sequence converges or diverges. If it converges, give the limit.

Sindrei [870]

The sequence diverges because the value of the absolute common ratio r is greater than the 1.

<h3>What is convergent of a series?</h3>

A series is convergent if the series of its partial sums approaches a limit; that really is, when the values are added one after the other in the order defined by the numbers, the partial sums getting closer and closer to a certain number.

We have series:

9, 27, 81, 243....

The above series is a geometric progression with common ratio r is 3

$\rm r =\dfrac{27}{9}$

r = 3

We know the formula for a geometric sequence:

$\rm S_n = 9(3)^n$

$\rm S_n = 3^{n+2}$

A geometric series converges only if the absolute value of the common ratio:

r < 1 and

It diverges if the ratio ≥ 1

Here the value of r = 3 which is greater than the 1 so the sequence diverges.

Thus, the sequence diverges because the value of the absolute common ratio r is greater than the 1.

Learn more about the convergent of a series here:

brainly.com/question/15415793

#SPJ1

8 0

2 years ago

Suppose a 90% confidence interval for the mean salary of college graduates in a town in Mississippi is given by [$38,737, $50,46

JulsSmile [24]

Answer:

a. The point estimate was of $44,600.

b. The sample size was of 16.

Step-by-step explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

The margin of error is the difference between the two bounds, divided by 2.

a. What is the point estimate of the mean salary for all college graduates in this town?

Mean of the bounds, so:

(38737+50463)/2 = 44600.

The point estimate was of $44,600.

b. Determine the sample size used for the analysis.

First we need to find the margin of error, so:

$M = \frac{50463-38737}{2} = 5863$

Relating the margin of error with the sample size:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.9}{2} = 0.05$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.05 = 0.95$ , so Z = 1.64.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

For this problem, we have that $\sigma = 14300, M = 5863$ . So

$M = z\frac{\sigma}{\sqrt{n}}$

$5863 = 1.645\frac{14300}{\sqrt{n}}$

$5863\sqrt{n} = 1.645*14300$

$\sqrt{n} = \frac{1.645*14300}{5863}$

$(\sqrt{n})^2 = (\frac{1.645*14300}{5863})^2$

$n = 16$

The sample size was of 16.

7 0

3 years ago

How many years will it take each situation to double its money? Situation A: Matthew invests $5,000 in an account with a compoun

algol [13]

Answer:

Matthew's money will double fastest in 6 years.

Step-by-step explanation:

The complete question is

Answer the question for each scenario by applying the rule of 72. How many years will it take each situation to double its money? Situation A: Matthew invests $5,000 in an account with a compound interest rate of 12%. Situation B: Morgan invests $2,500 in an account with a compound interest rate of 8%. Situation C: Maysen invests $10,000 in an account with a compound interest rate of 4.5%. Whose money will double fastest?

we know that

The Rule of 72 is a simple way to determine how long an investment will take to double given a fixed annual rate of interest. By dividing 72 by the annual rate of return.

Situation A: Matthew invests $5,000 in an account with a compound interest rate of 12%

$\frac{72}{12}=6\ years$

Situation B: Morgan invests $2,500 in an account with a compound interest rate of 8%.

$\frac{72}{8}=9\ years$

Situation C: Maysen invests $10,000 in an account with a compound interest rate of 4.5%

$\frac{72}{4.5}=16\ years$

therefore

Matthew's money will double fastest in 6 years.

7 0

3 years ago