In ΔABC, the measure of ∠C=90°, BC = 16 feet, and AB = 48 feet. Find the measure of ∠B to the nearest tenth of a degree.

Answers

Answer 1

Answer:

70.5º

Step-by-step explanation:

cosB = adj/hyp

cosB = 16/48

cosB = 1/3

B = arccos 1/3

Use calculator

∠B = 70.5º


Related Questions

Doug invests in his company's retirement system by depositing $2400 into an account that pays 8% interest compounded quarterly. Approximately how long will Doug need to leave his money in the account for it to have a balance of $25,000? A) 30 years B) 29.6 years C) 29.3 years D) 0.5 year​

Answers

Friends okay we need to be friends now

Simplify (4a to the fifth power b to the sixth power) to the fourth power

Answers

Answer:

(4a^5b^6)^4 = 256a^20b^24

Step-by-step explanation:

The first person that answered is correct just let you know!

Suppose customers arrive at a single-server ice cream parlor times 3, 6, 15, and 17. Further suppose that it takes the server 7, 9, 6, and 8 minutes, respectively, to serve the four customers. When does customer 4 leave the shoppe

Answers

9514 1404 393

Answer:

  time 33

Step-by-step explanation:

The first customer arrives at time 3, and is finished being served at time 3+7 = 10.

The second customer arrives at time 6, so waits until time 10 to be served. The second customer is finished being served at time 10+9 = 19.

The third and fourth customers arrive at times 15 and 17. The third customer waits until time 19 to be served, and is finished being served at time 19+6 = 25.

The fourth customer waits until time 25 to be served, and is finished being served at time 25+8 = 33.

The fourth customer leaves at time 33.

Find the value of x that makes m || n

Answers

Answer:

x = 133

Step-by-step explanation:

x + 14 = 147

x (+ 14 - 14) = 147 - 14

x = 133

The answer is x = 133

For an angle to be in standard position, its vertex is at the origin and the initial side lies on the

A) positive y-axis. B) positive x-axis. C) negative x-axis. D) negative x-axis.

Answers

Answer:

B) positive x-axis.

Step-by-step explanation:

angle to be in standard position, its vertex is at the origin and the initial side lies along the positive x axis

Answer:

Positive x axis

Step-by-step explanation:

The angle lies in standard position means it begins from Q1

The first side must be x axis

Then in Q1 x>0 so it's positive x axis

Answer for brainlest

Answers

Answer:

∠1 = ∠8

Step-by-step explanation:

Because they are ALTERNATE EXTERIOR ANGLE

Answer:

∠1 = ∠8

Step-by-step explanation:

Because alternate exterior angles are equal.

Also there is no angle given so you cant work them out.

simply put:

∠1 = ∠8

∠1 = ∠4

∠3 = ∠2

∠1 = ∠5

∠2 = ∠6

∠2 = ∠7

∠5 = ∠8

∠4 = ∠8

∠7 = ∠6

∠7 = ∠3

Let me know if I missed out on anymore! It was long that's why.

Hope this kind of explained it :)

What is the value of
(x3 x 7y÷)(10.6+5.4)for x=2 and y=6?

Answers

Step-by-step explanation:

Hope you can correct you question

determine the term 6 generated by the rule TN is equals to n squared minus n and over 2​

Answers

Given:

Consider the rule of a sequence is:

[tex]T_n=\dfrac{n^2-n}{2}[/tex]

To find:

The 6th term generated by the given rule.

Solution:

We have,

[tex]T_n=\dfrac{n^2-n}{2}[/tex]

Substituting [tex]n=6[/tex] in the above rule, we get

[tex]T_6=\dfrac{6^2-6}{2}[/tex]

[tex]T_6=\dfrac{36-6}{2}[/tex]

[tex]T_6=\dfrac{30}{2}[/tex]

[tex]T_6=15[/tex]

Therefore, the 6th term generated by the given rule is 15.

what is the solution set for this inequalty? -8x + 40> -16

Answers

Answer:

x < 7

Step-by-step explanation:

-8x + 40> -16

Subtract 40 from each side

-8x + 40-40> -16-40

-8x >-56

Divide each side by -8, remembering to flip the inequality

-8x/-8 < -56/-8

x < 7

Given the set of data find the Mean. 4, 5, 6, 12, 12, 12, 14, 16, 22, 23, 28, 28 (round to one decimal place

Answers

Answer:

15.2

Step-by-step explanation:

mean=average

to find the mean, add up all of the numbers and divide by the # of numbers that there are

4+5+6+12+12+12+14+16+22+23+28+28=182

182/12=15.2

Answer:

11.3 to 1DP.

Step-by-step explanation:

The mean = sum of the numbers / 12.

= 136/12

= 11.333

Suppose a fair six sided die has been relabeled so that the 6 is replaced with another 5,i.e., the sides read 1,2,3,4,5,5. If the die is rolled five times, what is the probability that we roll five distinct values

Answers

Answer:

P(rolling five distinct values) = 1/3888

Step-by-step explanation:

We are told that I the fair sided dice, 6 is replaced with 5.

Thus,the numbers are now;

1,2,3,4,5,5.

This means a total of 6 possible numbers appearing.

Now, in these 6 numbers there are only 5 distinct numbers since 5 occurs twice.

P(1) = 1/6

P(2) = 1/6

P(3) = 1/6

P(4) = 1/6

P(5) = 2/6

Thus,probability of rolling 5 distinct values = 1/6 × 1/6 × 1/6 × 1/6 × 2/6 = 1/3888

Twice a number is 14. What is the number

Answers

Answer:

7

Step-by-step explanation:

Divide 14 by 2

You fllp a fair coln 7 times in a row. Let X be the number of heads that come up. Which of the following cannot be a
possible value of X?
2
0
7
16

Answers

Answer:

16

Step-by-step explanation:

Given

A coin

[tex]n = 7[/tex] --- Number of flips

[tex]x \to heads[/tex]

Required

Which can't be the value of x

From the question, we understand that the coin was flipped 7 times.

This means that, the highest occurrence of head is:

[tex]x = 7[/tex]

And the list is:

[tex]x = 0[/tex]

So, the range of x is:

[tex]x = \{0,1,2,....,7\}[/tex]

In the above range, only (16) is out of range.

Hence:

[tex]x \ne 16[/tex] --- Number of heads can't be 16

Which of the following best represents the slope of the line? A. -3 B. - 1 3 C. 1 3 D. 3

Answers

Pretty sure it’s B. -1/3, hole this helped!

what is the area of

Answers

Answer:

7 * 9 = 63

63 for when both of the triangles are combined, 31.5 for one triangle.

Rectangle = 18 * 22 = 396

396 + 63

459 cm^2

Need help answering pls

Answers

Answer is C because the angles add up to 90degrees

Hope this helps :D

Answer:

Step-by-step explanation:

angle 2 and angle 3 are complementary angle because their sum is 90 degree as they are perpendicular.

What is the equation of the curve that best fits the data? Round to the nearest hundredths, when appropriate. picture*​

Answers

Answer:

.....

Step-by-step explanation:

Up and down

Brianne earns $20 for 4 hours of babysitting. Which graph shows the relationship between the number of hours and the total amount she earns?

Answers

Answer:

Can you insert a picture?  and then I could help you.

Step-by-step explanation:

Answer:

Brianne would earn 5 dollars an hour so the graph should look something like this.

does anyone know this?​

Answers

Answer:80^w2−48

Step-by-step explanation:

Answer:

If You Factor it it will be (w+8) (5w2-3)

Step-by-step explanation:

Three coffees and two muffins cost a total of 7 dollars. Two coffees and four muffins cost a total of 8 dollars. What is the individual price for a single coffee and a single muffin?

Answers

Answer:

Cost of a coffee = $1.5

Cost of a muffin = $1.25

Step-by-step explanation:

Given:

Cost of 3 coffee and 2 muffins = $7

Cost of 2 coffee and 4 muffins = $8

Find:

Cost of each

Computation:

Assume;

Cost of a coffee = a

Cost of a muffin = b

So,

3a + 2b = 7 .......... Eq1

2a + 4b = 8 .......... Eq2

Eq1 x 2

6a + 4b = 14 ......... Eq3

From Eq3 - Eq2

4a = 6

a = 1.5

Cost of a coffee = $1.5

3a + 2b = 7

3(1.5) + 2b = 7

4.5 + 2b = 7

b = 2.5/2

b = 1.25

Cost of a muffin = $1.25

solve the equation

f(x)=13⋅6x for x = 2

Answers

I think the answer is 13 x 6(2) = 156? Sorry if I’m wrong.

How do i solve this please help

Answers

Answer:

48

Step-by-step explanation:

138-90(right angled triangle)=48

Your class is selling boxes of flower seeds as a fundraiser. The total profit p depends on the amount x that your class charges for each box of seeds. The equation p= -0.5x2 + 36x - 231 models the profit of the fundraiser. What's the smallest amount, in dollars, that you can charge and make a profit of at least $363?​

Answers

Answer:

The least amount is $75.50

Step-by-step explanation:

Given

[tex]p \to profit[/tex]

[tex]x \to amount[/tex]

[tex]p = -0.5x^2 + 36x - 231[/tex]

Required

The smallest amount to make at least 363

We have:

[tex]p = -0.5x^2 + 36x - 231[/tex]

Rewrite as:

[tex]-0.5x^2 + 36x - 231=p[/tex]

Substitute 363 for p

[tex]-0.5x^2 + 36x - 231 = 363[/tex]

Collect like terms

[tex]-0.5x^2 + 36x - 231 + 363 = 0[/tex]

[tex]-0.5x^2 + 36x + 132 = 0[/tex]

Using quadratic formula, we have:

[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

Where:

[tex]a = -0.5; b= 36; c = 132[/tex]

So, we have:

[tex]x = \frac{-36 \± \sqrt{36^2 - 4*-0.5*132}}{2*-0.5}[/tex]

[tex]x = \frac{-36 \± \sqrt{1560}}{-1}[/tex]

[tex]x = \frac{-36 \± 39.50}{-1}[/tex]

Split

[tex]x = \frac{-36 + 39.50}{-1}; x = \frac{-36 - 39.50}{-1}[/tex]

[tex]x = \frac{3.50}{-1}; x = \frac{-75.50}{-1}[/tex]

[tex]x = 75.50[/tex] and [tex]x = -3.50[/tex]

The amount can't be negative.

So:

[tex]x = 75.50[/tex]

Hence, the least amount is $75.50

The equation $x + {y = 2 can be rewritten in a form that reveals the y-intercept of the graph of the equatior
Drag numbers to complete the equation that is equivalent to $x + žy = 2 and show the value of the y-intercept

Answers

Answer:

[tex]y = \frac{2}{z} - \frac{x}{z}[/tex]

Step-by-step explanation:

Given

[tex]x + zy = 2[/tex]

Required

Rewrite to show y-intercept

We have: [tex]x + zy = 2[/tex]

Subtract x from both sides

[tex]zy = 2-x[/tex]

Divide both sides by z

[tex]y = \frac{2}{z} - \frac{x}{z}[/tex]

The y intercet is: [tex]\frac{2}{z}[/tex]

solve for k. 6 = -3(k - 10)

Answers

Answer: k = 8

Step-by-step explanation:

-3k + 30 = 6

-3k = -24

k = 8

Answer:

k = 8

Step-by-step explanation:

6 = -3(k - 10)

Divide each side by -3

6/-3 = -3/-3 *(k - 10)

-2 = k-10

Add 10 to each side

-2+10 = k-10+10

8 = k

A well-conducted opinion poll showed that 48% of voters surveyed favored the reelection of Congressman Porkbarrel. The people who conducted the survey reported that the poll had a margin of error of 3.5%. Which of the following best describes this statement
A. Based on the procedure by which this figure was generated, it is likely that the population proportion is between 44.5% and 51.5%.
B. About 3.5% of the people polled are likely to change their minds about who they will vote foir.
C. Between 44.5% and 51.5% of the voters will vote for Congressman Porkbarrel.
D. About 3.5% ofthe people interviewed refused to answer the question.
E. The probability is .48 that Congressman Porkbarrel will be reelected.

Answers

Answer:

A. Based on the procedure by which this figure was generated, it is likely that the population proportion is between 44.5% and 51.5%.

Step-by-step explanation:

Confidence interval:

We build a confidence interval from a sample proportion, to get an estimate of where the population proportion should likely be.

48% of voters surveyed favored the reelection of Congressman Porkbarrel, with a margin of error of 3.5%.

48 - 3.5 = 44.5%.

48 + 3.5 = 51.5%.

Following the concept of a confidence interval, the population proportion is likely to be between 44.5% and 51.5%, and thus, the correct answer is given by option A.

find x and y. For one point extra credit each, give the correct name for point P.

Answers

Answer:

where is the question?

Step-by-step explanation:

Where is the question?

This is a 4th grade level
Ethan puts $1200 into a Certificate of Deposit (CD) account that earns 2.1% interest each year. What will be the interest of the CD account earned after 5 years? Round to the nearest cent (hundredths place).

Answers

Answer:

126

Step-by-step explanation:

1200 x .021=25.20 interest per year

25.20x5=126

assumes no compounding

The Pythagorean Identity states that:
(sin x)2 + (cos x)2 = 1
Given cos 6 = 472, find sin .
[?]
sin 0:
O
Simplify the fraction.

Answers

Answer:

[tex]sin(\theta) = \frac{\sqrt{17} }{7}[/tex]

Step-by-step explanation:

We know that:

sin(x)^2 + cos(x)^2 = 1

And we know that:

[tex]cos(\theta) = \frac{4\sqrt{2}}{7} }[/tex]

We want to find the value of the sine function evaluated in theta.

If we replace that in the first equation, we get:

[tex]sin(\theta)^2 + cos(\theta)^2 = 1[/tex]

[tex]sin(\theta)^2 + (\frac{4*\sqrt{2} }{7}) ^2 = 1[/tex]

[tex]sin(\theta)^2 + (\frac{4^2*\sqrt{2}^2 }{7^2}) = 1[/tex]

[tex]sin(\theta)^2 + (\frac{16*2 }{49}) = 1[/tex]

Now we can just isolate the sine part of that equation, so we get:

[tex]sin(\theta)^2 = - (\frac{16*2 }{49}) + 1 = \frac{-32}{49} + \frac{49}{49} = \frac{-32 + 49}{49} = \frac{17}{49}[/tex]

[tex]sin(\theta) = \sqrt{\frac{17}{49} } = \frac{\sqrt{17} }{\sqrt{49} } = \frac{\sqrt{17} }{7}[/tex]

(We can't simplify the fraction anymore)

Anyone know this answer

Answers

Answer:

Step-by-step explanation:

1 is 60 2 i 60 and 3 is 61 ;)

The answer should be 61, goodluck ;)
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