Right angle Trigonometry, please help me solve and explain!

Right Angle Trigonometry, Please Help Me Solve And Explain!

Answers

Answer 1

Answer:

theta = arctan 8/5 = 58 degrees

Step-by-step explanation:

The tangent function relates the angle theta to the two side lengths 5 and 8:

tan theta = 8/5               We need to find the angle, theta.

Using a calculator with the inverse tangent funtion built-in, we find that the angle theta is

theta = arctan 8/5 = 58 degrees.


Related Questions

Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)

Answers

Answer : 424.875 miles

The problem states that Brian can travel ‘27.5’ miles per gallon, and his tank can only hold ‘15.45’ gallons of fuel.

To find the miles he can travel, all you have to do is multiply the miles he can travel per gallon (27.5) by the gallons he has in the tank (15.45).

This gives you the answer of 424.875 miles.

Answer:

27.5 miles per gallon

1 full tank = 15.45 gallons

27.5 x 15.45 = 424.875 miles

rounded to the nearest 100th: 424.88 miles

nearest 10th: 424.9 miles

nearest whole #: 425 miles

What is the square root of 13?

Answers

Answer:

3.605551275

Step-by-step explanation:

Shen started to run on a treadmill after setting its timer for 93 minutes. The display says that he has finished 69% of his run. How many minutes have gone by?
Round your answer to the nearest tenth.

Answers

Answer:

64.2 minutes

Step-by-step explanation:

We are given that

Shen set timer to run=93 minutes

He has finished his run=69%

We have to find total number of minutes have gone by.

69% of 93

=[tex]\frac{69}{100}\times 93[/tex]

By using

a%[tex]=\frac{a}{100}[/tex]

69% of 93=[tex]\frac{6417}{100}[/tex]

69% of 93=64.17 min

69% of 93[tex]\approx 64.2min[/tex]

Hence, 64.2 minutes have gone by.

4. (a) Find the minimum value of the function below and the values of for which they
occur.
f(x) = 3x2 - 5x - 12​

Answers

5/6

Answer: the answer is 5/6

Explanation:

|x+2|+4=11
A) x=5,-9

Answers

Answer:

the mod always gives positive answers

so the answer will be

Step-by-step explanation:

x+2+4=11

x+6=11

x=11-6

x=5

answer is x is 5

Answer:

x=5,9

Step-by-step explanation:

|x+2|+4=11

|x+2| = 7

next you get two answers by adding two or subtracting two. SO the right answer should be 5 and 9. A is wrong . I DONT SEE THE OTHER ANSWER CHOICES BUT THIS IS WHAT I GOT.

The list price on slacks is $22, and the list price on jumpers is $37. If Petit’s Clothing Store orders 30 pairs of slacks and 40 jumpers at a discount rate of 11%, what is the trade discount on the purchase?

Answers

Answer: $235.4

Step-by-step explanation:

Given

Price list on slacks is $22

Price list on jumpers is $37

Store ordered 30 pairs of slacks and 40 Jumpers

Total price becomes

[tex]\Rightarrow 22\times 30+37\times 40\\\Rightarrow \$2140[/tex]

for a discount of 11%

Trade discount is [tex]2140\times 11\%[/tex]

[tex]\Rightarrow 2140\times 0.11\\\Rightarrow \$235.4[/tex]

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Khan Academy
Dependent probability
In a class of 7, there are 4 students who play soccer.
If the teacher chooses 3 students, what is the probability that none of the three of them play soccer?

Answers

Answer:

[tex]\frac{12}{49}[/tex]

Step-by-step explanation:

[tex]\frac{4}{7} *\frac{3}{7} = \frac{12}{49}[/tex]

Hope this helps.

NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math.No guessing please.

The sample space,S,of a coin being tossed three times is shown below, where H and T denote the coin landing on heads and tails respectively.​

Answers

Answer: Bottom left corner

=======================================================

Explanation:

There are only four possible outcomes here

A) we get all tails, ie getting 0 headsB) we get exactly one head (the rest tails)C) we get exactly 2 headsD) we get all three heads

Based on this so far, the answer is either the table in the bottom left corner or in the top right corner. It's not possible for X = 4 since we only flipped 3 coins.

The probability of case A happening is 1/8 since we have 1 scenario that's all tails (TTT) out of 8 items in the sample space. Similarly, the probability for case D is the same probability. We only have one HHH out of 8 total items.

The probabilities of cases B and C are the same. Both are 3/8. Note that for case B, we have HTT, THT, TTH which is three occurrences in which we get exactly 1 head. So that explains the 3/8.

Hello, please I bed urgent help with this math problem please

Answers

Answer:

option C

Step-by-step explanation:

[tex]4c^2 + 7c - 5 = 0 , \ where \ a = 4 , \ b = 7 , \ x = - 5[/tex]

[tex]c = \frac{- b \pm \sqrt{b^2 - 4ax }}{2a} \\\\c = \frac{- 7 \pm \sqrt{49 - ( 4 \times 4 \times - 5 )}}{2 \times 4} \\\\c = \frac{- 7 \pm \sqrt{49 + 80}}{8} \\\\c = \frac{- 7 \pm \sqrt{49 + 80}}{8} \\\\c = \frac{- 7 \pm \sqrt{129}}{8} \\\\[/tex]

Answer:

Option C

Step-by-step explanation:

Quadratic formula:

[tex]4c^{2} +7c-5=0[/tex]

[tex]a=4\\b=7\\x=-5[/tex]

[tex]c=\frac{-b\frac{+}{} \sqrt{b^2-4ax}}{2a}[/tex]

[tex]c=\frac{-7\frac{+}{}49-(4*4*-5) }{2*4}[/tex]

[tex]c=\frac{-7\frac{+}{}\sqrt{129} }{8}[/tex]

hope this helps....

20 POINTS- Marlene surveyed her classmates asking them whether they prefer to vacation during spring break or summer and the type of vacation preferred. The results are shown in the table.
Marlene surveyed her classmates asking them whether they prefer to vacation during spring break or summer and the type of vacation preferred. The results are shown in the table.

A 4-column table with 5 rows titled Vacation Preferences. Column 1 has entries beach, big city, camping, skiing, total. Column 2 is labeled spring with entries 35, 7, 14, 4, 60. Column 3 is labeled summer with entries 10, 2, 8, 10, 30. Column 4 is labeled total with entries 45, 9, 22, 14, 90.

Complete each statments.
About ____% of the students surveyed prefer a spring camping vacation.
About ____% of the students surveyed prefer a big city vacation.

Answers

Answer:

The answers for edge 2021 is

Step-by-step explanation:

16 and 10

Find the value of k, if (x - 2) is a factor of the polynomial p(x) = 2x2 + 3x - k​

Answers

Answer:

The value of k is 14.

Step-by-step explanation:

(x - 2) is a factor of the polynomial

[tex]x - 2 = 0 \rightarrow x = 2[/tex]

This means that [tex]p(2) = 0[/tex]

p(x) = 2x² + 3x - k​

[tex]p(2) = 2(2)^2 + 3(2) - k[/tex]

[tex]0 = 8 + 6 - k[/tex]

[tex]14 - k = 0[/tex]

[tex]k = 14[/tex]

The value of k is 14.

One number is 8 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is ​1090, find the numbers.

Answers

Answer:

Number one: x

Number two:8x

Number three: x+ 100

They added together equal to 1090:

x + 8x + x+ 100 = 1090

10x= 1090-100

10x=990

x=99

Number one: 99

Number two: 792

Number three: 199

Sum: 1090

find the square root of 20 1/4​

Answers

Answer:

Step-by-step explanation:

[tex]20 \frac{1}{4} =\frac{80+1}{4} =\frac{81}{4} \\\sqrt{\frac{81}{4} } =\frac{9}{2} =4.5[/tex]

Please help me solve this. I keep getting the answer weong

Answers

Answer:

21 is the answer I think sike I lied ik its not im just trying get this over with

You can use this formula to work out the area of a triangle when you know two sides and the angle inbwtween them :

1/2 x a x b x sin(C)

where a and b are the two sides you know and C is the angle in between them.

So here a = 7, b = 14, C = 125.

Area = 1/2 x 7 x 14 x sin(125) = 40.138...

= 40.1 (nearest 10th)

please help. question in picture ​

Answers

Answer:

Step-by-step explanation:

how much greater is the volume of the refrigerator than the volume of the top part

Answers

Answer:

volume quantity is hjaj

cho tứ giác lồi ABCD và điểm S không thuộc mặt phẳng(ABCD). có bao nhiêu mặt phẳng qua S và hai trong số bốn điểmA B C D

Answers

Step-by-step explanation:

Có 7 mặt phẳng

5 mặt phẳng của hình chóp S.ABCD và (SAC), (SBD)

Cậu nên hỏi trên mấy web Việt Nam thì hơn tại đa số mấy người ở đây toàn nước ngoài ạ

Pls I’ve been stuck on this

Answers

Area of a circle is pi x radius^2

Area = pi x 22 ^2

Area = pi x 484

Area = 1,519.8 mm^2

Answer:

1520.5mm²

Step-by-step explanation:

Area of a circle=πr²

π(22mm)²

π484mm²

1520.5308443374599mm²

to one decimal place

1520.5mm²

Peter Piper picked a pickled pepper out of a pepper jar. If the probability of drawing a pickled pepper was 2/5,
how many total peppers could be in the jar (psst. you can't have a half of a pepper)?

Answers

Answer:

5

Step-by-step explanation:

2/5 pickled peppers means that there are 2 pickled peppers out of 5 total peppers.

David has available 240 yards of fencing and wishes to enclose a rectangular area.
(a) Express the area A of the rectangle as a function of the width W of the rectangle.
(b) For what value of W is the area largest?
(c) What is the maximum area?

Answers

Answer:

Below in bold.

Step-by-step explanation:

Perimeter = 2*width + 2*length

So

240 = 2w + 2l

120 = w + l

l = 120 - w

(a) Area = w*l

Substituting for l:

A = w(120 - w)

A = 120w - w^2

(b)

Finding the derivative:

A = 120w - w^2

A' = 120 - 2w

For a maximum area A' = 0, so:

120 - 2w = 0

2w = 120

w = 60 yards for maximum area.

(c)

Maximum area

= 120*60 - 60^2

= 3600 yd^2.

-7x - 3 equals 5x + 3
solve for x

Answers

The answer: x= -1/2

-7x-3=5x+3

-3=12x+3

-6=12x

-6/12=12x/12

x=-6/12
Simplify to x= -1/2

Answer:

x = -0.5

Step-by-step explanation:

-7x-3=5x+3

+7x       +7x

-3=12x+3

-3        -3

-6=12x

x=-0.5

Use the limit definition of the derivative to find the instantaneous rate of change of
f(x)=5x^2+3x+3 at x=4

Answers

[tex]f'(4) = 43[/tex]

Explanation:

Given: [tex]f(x)=5x^2 + 3x + 3[/tex]

[tex]\displaystyle f'(x)= \lim_{h \to 0} \dfrac{f(x+h) - f(x)}{h}[/tex]

Note that

[tex]f(x+h) = 5(x+h)^2 + 3(x+h) + 3[/tex]

[tex]\:\:\;\:\:\:\:= 5(x^2 + 2hx + h^2) + 3x + 3h +3[/tex]

[tex]\:\:\;\:\:\:\:= 5x^2 + 10hx + 5h^2 + 3x + 3h +3[/tex]

Substituting the above equation into the expression for f'(x), we can then write f'(x) as

[tex]\displaystyle f'(x) = \lim_{h \to 0} \dfrac{10hx + 3h + 5h^2}{h}[/tex]

[tex]\displaystyle\:\:\;\:\:\:\:= \lim_{h \to 0} (10x +3 +5h)[/tex]

[tex]\:\:\;\:\:\:\:= 10x + 3[/tex]

Therefore,

[tex]f'(4) = 10(4) + 3 = 43[/tex]

Use the tax table to help answer the following question.
If the wages are. And the number of withholding allowances dalmedish
0 1
But less
2 3 4 5 6 7 8 9 10+
At least
than
The amount of income tax withheld is
80
26
14
1
0
0
0
0
0
83
820
720
740
6244
740 760
47 28 16 3 0 0 0 0 0
760 780 86 68 50 31 18 5 o o o o o
780 800 89 71 53 34 20 . . . .
800
92 74 56 37 22 9 . a . o o
820 840 95 77 59 40 24 11 oo
840 860 98 80 62 43 26
Luce is single and making $763 biweekly. She claims no federal withholding
allowances. If the state tax is 19% of the federal tax, how much in state tax de
Luce contribute?
a.
$12.92
0
0
13
1
0
0
0
0
b.
$15.13
c.
$15.77
d.
$16.34
1

Answers

9514 1404 393

Answer:

  d.  $16.34

Step-by-step explanation:

Luce's income of 763 is between 760 and 780, so the third row of the table applies. Her allowances are 0, so the first column applies, indicating her federal tax withholding is $86.

Her state tax withholding is 19% of that amount, so is ...

  19% × $86 = $16.34 . . . . matches choice D

The amount in state tax that Lucy will contribute is D. $16.34.

How to calculate the tax?

Tax simply means a compulsory levy that's paid to the government by individuals and organizations.

In this case, the tax amount that will be paid will be:

= 19% × $86

= $16.34

In conclusion, the correct option is $16.34.

Learn more about tax on:

https://brainly.com/question/25783927


Anna's electricity bill costs $21.59 per month plus $4.66 per kilowatt hour. How many kilowatt hours can she use and keep
her bill to no more than $51?
Round your answer to a whole number

Answers

Answer:

6 kwh

Step-by-step explanation:

(51 - 21.9)/4.66 = 6.24 => 6 kwh

Mô hình quy hồi tuyến tính và ứng dụng

Answers

Answer:

where are you from Korea or not

Mô hình quy hồi tuyến tính và ứng dụng.

Hope it helps you!

-miraculousfanx-

What is the domain of the function y=3 sqrt x?

Answers

Answer:

Step-by-step explanation:

y=3√x

domain : all real values≥0

Can someone please help me out?
The difference between two numbers is 16. The first number is three times the other number. What are the numbers?
A. 8 and 25
B. 8 and 24
C. 9 and 24
D. 9 and 25
No links or fake answers pls

Answers

The answer is B

24 is three times the value of 8 and when you subtract 8 from 24 you receive a total of 16.

9514 1404 393

Answer:

  B. 8 and 24

Step-by-step explanation:

There are a number of approaches you can use here. One of them is to choose the only answer that makes any sense in the problem.

The problem tells you the numbers have a ratio of 3, so numbers like 8 and 25, 9 and 24, 9 and 25 cannot be the answer.

The only answer choice that makes any sense is B: 8 and 24.

__

If you want to work the problem, there are different ways you can do that. One of my favorite is to consider ratio units. The ratio of the two numbers is 3:1. The difference of the two numbers is 3-1 = 2 ratio units, which we are told is 16. Then each ratio unit represents 16/2 = 8. Then the numbers are ...

  3×8 and 1×8 = 24 and 8.

Or, you can let a variable represent one of the numbers. If x is the first number, then the other number is 1/3x, and their difference is ...

  x -1/3x = 16

  2/3x = 16

  x = 16(3/2) = 24

The numbers are 24 and 24/3 = 8.

__

Additional comment

You need to talk to your teacher about this question. The answer choices list the smaller number first, but the problem statement tells you the first number is 3 times the second number. The correct answer would be 24 and 8.

High school students across the nation compete in a national financial capability challenge exam. students who score in the top 5 percent get recognized publically for their achievement by the Dept of Treasury. Assuming a normal distribution, how many standard deviations above the mean does a student have to score to be publicly recognized?

Answers

Answer:

2

Step-by-step explanation:

Follow the 68-95-99.7 rule

The answer is 2 standard deviations


In 8 days, a group of workers can plant 72 acres.
What is their rate in acres per day


Helppp fastttt

Answers

Answer:

Step-by-step explanation:

72/8 = 9 acres per day

9 x 8 = 72

So 9!




Hope this helps!

Please answer question 4

Answers

Answer:

53

Step-by-step explanation:

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