Analyze the diagram below and complete the instructions to follow.

Find a, b and c

Analyze The Diagram Below And Complete The Instructions To Follow.Find A, B And C

Answers

Answer 1

Answer/Step-by-step explanation:

✔️Using trigonometric ratio, find b:

Reference angle = 45

opposite = 8

Hypotenuse = b

Thus,

Sin(45) = 8/b

b = 8/sin(45)

b = 8/(1/√2) (sin 45 = 1/√2)

b = 8 × √2/1

b = 8√2

✔️Find a using trigonometric ratio:

Reference angle = 60°

Hypotenuse = b = 8√2

Adjacent = a

Therefore,

Cos(60) = a/8√2

8√2*cos(60) = a

8√2*½ = a

4√2 = a

a = 4√2

✔️Find c using Pythagorean Theorem:

c² = b² - a²

c² = (8√2)² - (4√2)²

c² = 128 - 32

c² = 96

c = √96

c = √(16*6)

c = 4√6


Related Questions

The right triangle on the right is a scaled copy of the right triangle on the left. Identify the scale factor. Express your answer as a whole number or fraction in simplest form.

Answers

Answer:

1/3

Step-by-step explanation:

the one on the left is 3 times larger than the one on the right. in other words, the right triangle's dimensions times 1/3 is equal to the left triangle's dimensions.

PLEASE PLEASE HELP ASAP 30 POINTS AND WILL GIVE BRAINIEST

what is the measure of angle ABC
What is the measure of angle CBE
what is the measure of angle DBE
What is the measure of angle ABD​

Answers

Answer:

hope this is what u want

and don't mind my handwriting I wrote it as fast as I could

If a triangle has sides of 8, 8, and 6, then it is classified as an _____ triangle.

Answers

Answer:

right

Step-by-step explanation:

Answer:

Isoceles

Step-by-step explanation:

An isoceles triangle has 2 congruent sides.

7. Which of the following expressions contains like terms?


5xy - 13y


5x - 13xy


5xy - 13x


5xy - 13xy

Answers

Answer:

The last one

Step-by-step explanation:

Due to there being xy's in both terms

Please help me
Dionne builds a pattern that is represented by the equation b = 2f + 6, where f is the figure number
of the pattern and b is the number of blocks in each figure. How many blocks are needed to make
the 9th figure in the pattern?

Answers

Answer:

24 Blocks

Step-by-step explanation:

Hope this helps

Answer:

24 blocks

Step-by-step explanation:

Hope this helped

HELP! WILL GIVE BRANLIEST!

Answers

10 in each do 10 times 3 then subtract total

the marked price of an article , which is brought it for Rs 1280 is 25% above the cost price. if the discount is allowed and customer brought it for Rs 1540 including 10% Vat , what is the discount percent?​

Answers

Answer:

I corrected my mistakes.

The discount percentage when the marked price of an article , which is brought it for Rs 1280 is 25% above the cost price should be 12.5%.

Calculation of the discount percentage:

Since the cost price is 1280

Now the market price be like

= 1280 + 25% of 1280

= 1600

Now the selling price is

[tex]= 1540\div 1.1[/tex]

= 1400

Now the discount percentage should be

[tex]= (1600 - 1400) \div 1600[/tex]

= 12.5%

hence, The discount percentage when the marked price of an article , which is brought it for Rs 1280 is 25% above the cost price should be 12.5%.

Learn more about discount here: https://brainly.com/question/22227795

What is 5(4+6) x 6 =?

Answers

Answer:

300

Step-by-step explanation:

PEMDAS
5(4+6)x6=
V
5(10)x6=
V
50x6=
V
300
I hope you understand :)

Write a plan to prove that angle 1 is congruent to angle 2

Answers

Answer:

alternate interior angles

Step-by-step explanation:

<1 is congruent to <2 by alternate interior angles

The equations of four lines are given. Identify which lines are parallel. Line 1: y=1/2x-6. Line 2: x-2y=-1. Line 3: y=4x+6. Line 4: y+3=1/4(x-6)

Answers

Answer:

Lines 1 and 2 are parallel because they have the same slope

Step-by-step explanation:

slope of line 1 = 1/2

slope of line 2 = 1/2

slope of line 3 = 4

slope of line 4 = 14

how to find slope of line 2, solve for 'y':

x - 2y = -1

-2y = x - 1

y = 1/2x + 2

how to find slope of line 4, simplify for 'y':

y + 3 = 1/4x - 1/4(6)

y = 1/4x - 6/4 - 3

y = 1/4x -6/4 - 12/4

y = 1/4x - 18/4

WILL GIVE BRAINLIEST

Answers

Answer:

[tex]\frac{y}{8}[/tex]

Step-by-step explanation:

quotient means division

the / means divide

Answer:

y/8

Step-by-step explanation:

quotient means divide, so y divided by 8, or y/8

4)
Which expression is equivalent to 3x + x + y?
A)
4xy
B)
5xy
0
3 + xy
Highlight
D)
4x + y
Time
Remaining

Answers

Answer:

D.) 4x + y

Step-by-step explanation:

3x + x + y

Add  3 x  and  x .

4 x  +  y

The store is selling lemons at $0.46 each. Each lemon yields about 2 tablespoons ofjuice. How much
will it cost to buy enough lemons to make three 9-inch lemon pies, each requiring half a cup of
lemon juice?

Answers

Answer:

12 lemons, $5.52

Step-by-step explanation:

Find the square root of the following decimal numbers.​

Answers

Answer:

Answer is in picture

Step-by-step explanation:

Hope it is helpful.......

Answer:

square root of

2.56=√(2.56)=1.618.49=√(18.49)=4.368.89=√68.89=8.384.64=√84.64=9.2

2h 15m +1h 50m +1h 40m+ 44m+2h 35m+1h 6m+1h 22m

Answers

Answer:

11 h and 32 m is the answer

after adding all together i got 11h and then added all this minutes 32m
so the answer is 11h 32m

PLEASE HELP MATH MIDTERM
Steven bought a cylindrical water tank for his cattle, but he forgot to ask the seller what the diameter of the tank was. He needs to know the diameter of the tank so that he can build a platform for the tank to safely sit on. The seller told him the Volume and the height. Help Steven by calculating the diameter of the tank using the information below.
The volume of the tank is 572π 3 and its height is 9ft

Answers

Answer:

Step-by-step explanation:

h and r are the height and radius of the tank, respectively.

volume = πr²h

πr²·9 = 572π

r = √(572π/(9π)) = √(572/9)

diameter = 2r ≅ 15.9 ft

CEOLATIONS AND INEQUALITIES
Finding angle measures of a triangle given angles with variables
In the triangle below, suppose that m U=(x+9)°, m = (2x+1), and mW=(7x)".
Find the degree measure of each angle in the triangle.

Answers

Answer:

∠U = 26°

∠V = 35°

∠W = 119°

Step-by-step explanation:

Given:

∠U = (x+9)°

∠V = (2x+1)°

∠W = (7x)°

Find:

Value of each angle

Computation:

Using angle sum property

∠U + ∠V + ∠W = 180°

(x+9)° + (2x+1)° + (7x)° = 180°

10x + 10 = 180

x = 17

So,

∠U = (x+9)° = 17 + 9 = 26°

∠V = (2x+1)° = 34 + 1 = 35°

∠W = (7x)° = 7 x 17 = 119°

PLS, I NEED HELP! Translate this sentence into a compound inequality with math symbols.
Springfield’s monthly temperatures range from a high of 101o F to a low of – 8o F.

Answers

Answer:

8o F at least I'm pretty sure 101o F ≥ 8o

Step-by-step explanation:

Correct me If im wrong

Evaluate the expression for a=3 and b=1/4. 5a−16b+7

Answers

Answer:

18

Step-by-step explanation:

you have to multiply 5 and 3(which gives you 15) first, then move on to16 times 1/4 which gives you 4 then just add 7 and your done.

PLEASE HELP GEOMETRY

Answers

Answer:

Step-by-step explanation:

[tex]\frac{6}{18+6}= \frac{x}{8 }[/tex]

24x=48

x=2

What are the factors of 11

Answers

Answer:

1, 11

Step-by-step explanation:

Answer:

The factors of 11 are 1 and 11. As 1 ×11 is 11 and 11 × 1 is also 11. The number 11 is a prime number. A prime number is one that has only two factors, 1 and the number itself.

Step-by-step explanation:

Calculate and give your answer
its simplest form.
8 /7
X
7/8
Your answer

Answers

Answer:

1 I believe if your asking in in simplified form and if 8/7 and 7/8 are multiplied

Step-by-step explanation:

What is 85.92 divided by 4

Answers

[tex]correct is it Because Correct[/tex]A.

Answer:

The answer of your question : 85.92 divided by 4 is equal to (21.48)

Farmer Ben has only ducks and cows 24 in total. He can’t remember how many of each he
has. He knows that the animals have a total of 66 legs. Assuming that each animal has all legs intact
and no extra limbs, how many of each animal does farmer Ben have? Draw a clear diagram to answer
this question.


Help ME and plzz show your work thank you love

Answers

Ok so you have d ducks and c cows. We know d+c=24. Also, since ducks have 2 legs and cows have 4 legs, 2d+4c=66.

We now have a systems of equations to solve for a variable using elimination

2(d+c=24)
1(2d+4c=66)

2d+2c=24
2d+4c=66

-2c=-18
c=9

Now that we have the number of cows, we can easily find the number of ducks by plugging in 9 to the equation c+d=24

9+d=24
d=15

There are 9 cows and 15 ducks.

Oscar wants to rent a boat. The rental company charges an initial fee of $12 plus $8 per hour to rent the boat.

a) Write a linear equation to describe the total cost of renting the boat.

b) What is the cost of renting the boat for 5 hours?

Answers

i need points pleaseeeeeeeeee

Answer:

a) y=8x+12

b) $52

Step-by-step explanation:

for a)

the linear cost of this equation is 8, since is asks this amount per hour. The constant is 12, a one time fee. to form the equation, you would use the formula y=mx+b, and substituted in with the given, you get y=8x+12.

for b)

in b, it asks for the cost of renting the boat when x=5, renting the boat for 5 hours. all you have to do is plug in 5 in place of the x in the equation:

y=8x+12

y=8(5)+12

y=40+12

y=52

Nathan has $40 in a savings account. The interest rate is 5% per year and is not
compounded. How much interest will he earn in 1 year?
Use the formulai = prt, where / is the interest earned, p is the principal (starting amount),
is the interest rate expressed as a decimal, and is the time in years.
Submit

Answers

Money with Nathan in his savings account = $40

Rate of interest per annum = 5%

We know that :

[tex]\color{hotpink}\tt \: simple \: interest \color{plum}= \frac{principal \times rate \times time}{100} [/tex]

In this case :

Principal = $40

Rate = 5%

Time = 1 year

Simple interest he will earn in 1 year :

[tex] =\tt \frac{40 \times 5 \times 1}{100} [/tex]

[tex] = \tt \frac{200}{100} [/tex]

[tex]\color{plum} =\tt\$ \: 2[/tex]

Amount = Principal + Interest

Amount Nathan has to pay at the end of one year :

[tex] = \tt40 + 2[/tex]

[tex]\color{plum} =\tt \$42[/tex]

Thus, at the end of 1 year Nathan has to pay $42.

Therefore, simple interest Nathan will earn in 1 year = $2

Find the equation of the line that is perpendicular to the x-axis and passes through the point (14,-9). Give the
full equation as your answer.

Answers

Answer:

y = -9

Step-by-step explanation:

a line perpendicular to the x-axis is a horizontal line (which means the slope is zero) which pass through the y-axis at -9

what's the area of a triangle, rectangle, parallelogram

Answers

Answer:

Triangle Area = ½ × b × h b = base h = vertical height

Rectangle Area = w × h w = width h = height

Parallelogram Area = b × h b = base h = vertical height

Step-by-step explanation:

:)

Answer:

area

triangle = 1/2 x base x height

rectangle = base x height

parallelogram = base x height

Step-by-step explanation:

The median household income in the US grew linearly from approximately $30, 000 in 1990 to $48, 000 in 2006. Let x be the number of years since 1990. Express the median income as a function of x. Use this function to approximate the median income in 2030. What is the significance of the slope of this function

Answers

Answer:

[tex]y = 1125x+30000[/tex] --- The equation

The median income in 2030 is $75000

Step-by-step explanation:

Given

Represent years since 1990 with x and the income with y.

So, we have:

[tex](x_1,y_1) = (0,30000)[/tex] --- In 1990

[tex](x_2,y_2) = (16,48000)[/tex] --- In 2006

Solving (a): Express as a function.

First, we calculate the slope

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{48000-30000}{16-0}[/tex]

[tex]m = \frac{18000}{16}[/tex]

[tex]m = 1125[/tex]

The equation is then calculated as:

[tex]y = m(x-x_1)+y_1[/tex]

This gives:

[tex]y = 1125(x-0)+30000[/tex]

Open bracket

[tex]y = 1125x-0+30000[/tex]

[tex]y = 1125x+30000[/tex]

Solving (b): Income in 2030.

In 2030, x = 40.

Substitute 40 for x in [tex]y = 1125x+30000[/tex]

[tex]y = 1125*40 +30000[/tex]

[tex]y = 45000 +30000[/tex]

[tex]y = 75000[/tex]

Solving (c): The significance of the slope.

In (a), the slope is calculated as 1125.

This implies that the yearly rate is $1125

A salesman earns 6% commission on all the merchandise that he sells. Last month he sold $9000 worth of merchandise. How much
commission (in dollars) did he earn last month?

Answers

$540

6% = .06
“of” = multiply
so 6% of 9000 can be written as .06 x 9000 , which is 540

The commission (in dollars) did he earn last month is 540$.

We have given

A salesman earns 6% commission on all the merchandise that he sells.

Last month he sold $9000 worth of merchandise.

Salesman earns 6% =6/100=0 .06

What is the meaning of commission?

Earning a commission means that a portion of your salary is based on the amount of sales revenue you generate or another similar performance-based goal.

So we have to determine 6% of 9000

We can be written as

=0.06 x 9000,

= 540$

The commission (in dollars) did he earn last month is 540$.

To learn more about the commission visit:

https://brainly.com/question/24951536

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