I need help. Find the ratio of the trig function.

I Need Help. Find The Ratio Of The Trig Function.

Answers

Answer 1

Answer:

tanΘ = [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

tanΘ = [tex]\frac{opposite}{adjacent}[/tex]

the opposite side requires to be found.

let the opposite side be x then using Pythagoras' identity in the right triangle

x² + 12² = 20²

x² + 144 = 400 ( subtract 144 from both sides )

x² = 256 ( take square root of both sides )

x = [tex]\sqrt{256}[/tex] = 16

then

tanΘ = [tex]\frac{16}{12}[/tex] = [tex]\frac{4}{3}[/tex]


Related Questions

-3(v+1)-3

What is the answer I really need help

Answers

Answer:

=-3v-6

Step-by-step explanation:

Distribute:

=(−3)(v)+(−3)(1)+−3

=−3v+(−3)+(−3)

Combine like terms:

=(−3v)+(−3+(−3))

=−3v+−6

=-3v-6

Hope this helps, this was easy!

The answer is -3v-6

how to solve x-3y=1 4x+5y=4 using elimination

Answers

Answer:

X=1, Y=0

Step-by-step explanation:

Solve for X and Y using a2 +b2 = c2

Which is the completely factored form of 12x4 39x3 9x2? 3x2(x – 3)(4x – 1) 3x2(x 3)(4x 1) 3x(x 3)(4x 1) 3x(x – 3)(4x 1)

Answers

The completely factored expression of 12x⁴ + 39x³ + 9x² is 3x²(4x + 1)(x + 3)

How to factor the expression?

The polynomial expression is given as;

12x⁴ + 39x³ + 9x²

Factor out 3x² from the expression

3x²(4x² + 13x + 3)

Expand

3x²(4x² + 12x + x + 3)

Factorize the expression

3x² * 4x(x + 3) + 1(x + 3)

Factor out x + 3

3x²(4x + 1)(x + 3)

Hence, the completely factored expression of 12x⁴ + 39x³ + 9x² is 3x²(4x + 1)(x + 3)

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What are the domain and range of f (x) = log (x minus 1) + 2?
domain: x > 1; range: y > 2
domain: x > 1; range: all real numbers
domain: all real numbers; range: y > 1
domain: all real numbers; range: all real numbers

Answers

Answer:

domain: x > 1; range: all real numbers

Step-by-step explanation:

Given function:    [tex]f(x)=\log(x-1)+2[/tex]

Logarithms are not defined for zero or negative numbers.

[tex]\implies (x-1) > 0 \implies x > 1[/tex]

Therefore:

domain (input values):  [tex]x > 1[/tex]range (output values):  all real numbers

Answer:

B on edge

Step-by-step explanation:

Just took the test :)

Please help quick 30 points
Evaluate 5 x + (-2 x2 ) for x = 3.

Answers

Answer:

I'd say 11 but could also be 30

distance between points (-4,4) and (4,-2)

Answers

Answer:

10 units

Step-by-step explanation:

calculate the distance using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 4, 4 ) and (x₂, y₂ ) = (4, - 2 )

d = [tex]\sqrt{(4-(-4))^2+(-2-4)^2}[/tex]

   = [tex]\sqrt{(4+4)^2+(-6)^2}[/tex]

    = [tex]\sqrt{8^2+36}[/tex]

    = [tex]\sqrt{64+36}[/tex]

    = [tex]\sqrt{100}[/tex]

     = 10

is the ordered pair (2,1) a solution for
[tex] y \leqslant \frac{3}{2} x + 3 \: show \: your \: work[/tex]


Answers

Answer:

put x= 2 and y = 1

and see this inequality will holds

What is factorisation? ​

Answers

It is also called Middle Term Splitting

Its a cool thing with which you can solve different orders of polynomials(or any algebraic expressions if you're a pro).

It is writing an expression as a product of 2 or more factors

Answer:

factorization is of writing a number or another mathematical use as a product of several factors, usually smaller of the same kind.

Step-by-step explanation

3 × 5 is a factorization of the integer 15, and is a factorization of the polynomial x² – 4.

26. Each weekday, 3,200,000 people in Massachusetts
commute to work. Of the total commuters, 403,200 take
public transportation. What percentage of commuters take
public transportation?

Answers

Answer: 12.6%

Step-by-step explanation:

403,200/3,200,000 = 0.126

0.126 = 12.6%

This year, you owed $6,414.95 in federal income tax. if you are taxed at a net rate of 17%, what was your taxable income for this year? a. $109,054 b. $26,792 c. $44,867 d. $37,735

Answers

Using proportions, it is found that your taxable income for this year is given by:

d. $37,735

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, we have that $6,414.95 is 17% of his taxable income, hence it is given by:

T = 6414.95/0.17 = $37,735.

Which means that option D is correct.

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Answer:D

Step-by-step explanation:

bc its D

For a project in his Geometry class, Fwam uses a mirror on the ground to measure the height of his school building. He walks a distance of 7.15 meters from the building, then places a mirror flat on the ground, marked with an X at the center. He then walks 2.45 more meters past the mirror, so that when he turns around and looks down at the mirror, he can see the top of the school clearly marked in the X. His partner measures the distance from his eyes to the ground to be 1.55 meters. How tall is the school

Answers

Answer:

2106 m

Step-by-step explanation:

a bicyclist rides 25 miles every 2 hours during race which equation represents the relationship between the number of miles and the number of hours of the bicyclist rides? let x represent the number of hours and let y represent the number of miles?

Answers

Answer:

y=12.5x

Step-by-step explanation:

Pamela and her friend went to the taco place with $15.00. they bought 2 burritos for $2.95 each, an order of nachos to share for $2.25, and 2 sodas for $1.75 each. how much money will they have left?

Answers

The answer is $8.05

PLS help

Jaime rode her bike 5 miles north to the park to meet a friend. Then they rode east to the library. If Jaime's house is 13 miles from the library, about how far is the library from the park?

Answers

please

that is the solution

Answer:8 miles

Step-by-step explanation:

5. Find the area of the figure below:
5 cm
4 cm
2cm
5 cm

Answers

Answer:

33 cm^2

Step-by-step explanation:

To find the are of the figure as a whole, find the area of each rectangle individually and then add them together.

The area of a rectangle is [tex]A = bh[/tex], so the area of the small rectangle would be [tex]4*2[/tex], or [tex]8cm^2[/tex].

The area of the larger rectangle would be [tex]5*5[/tex], or [tex]25cm^2[/tex].

So, adding those areas together, we get [tex]33cm^2[/tex] as the area of the whole figure.

Brian is a software salesman. His base salary is 1900 , and he makes an additional 40 for every copy of Math is Fun he sells. Let N represent his total pay (in dollars), and let N represent the number of copies of Math is Fun he sells. Write an equation relating to p to n . Then use this equation to find his total pay if he sells 21 copies of Math is Fun.

Answers

Answer:

2740 is your total; p = 40n + 1900 is your equation.

Step-by-step explanation:

"p" represents total pay; "n" represents the number of copies he sells.

Base salary is 1900, and each copy sold gives him an extra 40

p = 40n + 1900 is your equation.

If he sells 21 copies. Plug in 21 for n

p = 40n + 1900

p = 40(21) + 1900

Simplify. Remember to follow PEMDAS. First, multiply, then add.

p = 40(21) + 1900

p = 840 + 1900

p = 2740

~

Answer:
$2740

Let P = total pay
Let n = number of copies sold

P = $1900 + 40n
P = $1900 + 40(21)
P = $1900 + $840
P = $2740

Need help asap, will give brainliest

Answers

It’s the 3rd one, c……

V-125 - 5 X 32
[tex]3 \sqrt{ - 125} - 5 \times {3}^{2} [/tex]
Simplify the following and show all your workings ​

Answers

Answer:

Because of the order of operations, we start the equation backwards because exponents are what we prioritize here.

[tex]3^2 = 9\\\\9 * 5 = 45\\\\\sqrt{-125} = -11.1803399\\\\45 - -11.1803399 = 56.1803399\\\\56.1803399 * 3 = \boxed{168.54}[/tex]                                      Result rounded to 2 DP

complete the statement, and find the value of x in the diagram.
help please!

Answers

kite, x = 3. since that really long line is an angle bisector bc it’s a kite, then the two x angles should be equal to each other

Answer:

Also the quadrilateral shown is a rhombus

Step-by-step explanation:

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. David invested $230 in a savings account that offers a 3% return on the investment. The value of David's investment will be at least $415 after a period of years. Hint: Use the formula A = P(1 + r)t, where A is the amount after t years, P is the amount invested, r is the rate of interest, and t is the time period. Use a calculator to compute the answer, and round it off to the nearest year.

Answers

The value of David's investment will be at least $415 after a period of 20 years

Compound interest

The formula for calculating the compound interest is expressed as:

A = p(1+r)^t

Given the following parameters

A = $415P = $230r = 3% = 0.03

Substitute

415 = 230(1+0.03)^t
415/230 = 1.03^t
1.8043 = 1.03^t
t = ln(1.8043)/ln1.03

t = 20 years

The value of David's investment will be at least $415 after a period of 20 years

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What is the sum? startfraction x over x 3 endfraction startfraction 3 over x 3 endfraction 2 over x 3 endfraction five-thirds startfraction x 5 over x 3 endfraction startfraction x 5 over 3 x 27 endfraction startfraction 6 x over x 3 endfraction

Answers

The value of the sum expression [tex]\frac{x}{x +3} + \frac{3}{x + 3}[/tex] is 1

How to determine the sum?

The expression is given as:

[tex]\frac{x}{x +3} + \frac{3}{x + 3}[/tex]

Take the LCM of terms of the expression

[tex]\frac{x}{x +3} + \frac{3}{x + 3} = \frac{x + 3}{x +3}[/tex]

Evaluate the quotient of x + 3 and x + 3

[tex]\frac{x}{x +3} + \frac{3}{x + 3} = 1[/tex]

Hence, the value of the sum expression [tex]\frac{x}{x +3} + \frac{3}{x + 3}[/tex] is 1

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IF COREY HAD 100 TOKENS AND HE GIVES SOME TO HIS FRIENDS! HE HAS 4 LEFT OVER! HOW MANY DID HE GIVE EACH OF HIS FRIENDS!?

Answers

Answer:

he gave away 96 but depends how many friends he gave them to.

Step-by-step explanation:

Consider the quadratic equation x2 10x 27 = 0. completing the square leads to the equivalent equation (x )2 = .

Answers

The solution to the given quadratic expression using the completing the square is x = ±√-2 -5

Completing the square method

This is a method of factoring quadratic expression. Given the quadratic function.

x^2 + 10x + 27 = 0

Subtract 27 from both sides

x^2 + 10x = -27

Complete the square

x^2 +10x +5^2 = -27 + 25

(x+5)² = -2
x +5 = ±√-2
x = ±√-2 -5

Hence the solution to the given quadratic expression using the completing the square is  x = ±√-2 -5

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What is the simplest radical form of the expression?

(8x^7y^4)^2/3

Answers

Answer:

[tex]\large \text{$ 4 x^{\frac{14}{3}}y^{\frac{8}{3}}$}[/tex]

Step-by-step explanation:

Given expression:

[tex](8x^7y^4)^{\frac{2}{3}}[/tex]

[tex]\textsf{Apply exponent rule} \quad (a \cdot b)^c=a^{c} \cdot b^{c}:[/tex]

[tex]\implies 8^{\frac{2}{3}} \cdot (x^7)^{\frac{2}{3}}\cdot(y^4)^{\frac{2}{3}}[/tex]

[tex]\implies 4 \cdot (x^7)^{\frac{2}{3}}\cdot(y^4)^{\frac{2}{3}}[/tex]

[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]

[tex]\implies 4 \cdot x^{\frac{14}{3}}\cdot y^{\frac{8}{3}}[/tex]

[tex]\implies 4 x^{\frac{14}{3}}y^{\frac{8}{3}}[/tex]

Expand [tex]\bf{(8x^{7}y^{4})^{\frac{2}{3} } }[/tex]

[tex]\bf{8^{\frac{2}{3} }(x^{7})^{\frac{2}{3} }(y^{4})^{\frac{2}{3} } }[/tex]

To raise a power to another power, multiply the exponents. Multiply 7 and 2/3 to get 14/3.

[tex]\bf{8^{\frac{2}{3}}x^{\frac{14}{3} }(y^{4})^{\frac{2}{3} } }[/tex]

To raise a power to another power, multiply the exponents. Multiply 4 and 2/3 to get 8/3.

[tex]\bf{8^{\frac{2}{3}}x^{\frac{14}{3} }y^{\frac{8}{3} } }[/tex]

Calculate 8 to the power of 2/3 and you get 2/4.

[tex]\bf{4x^{\frac{13}{4} }y^{\frac{8}{3} } \ \ ==== > \ \ \ Answer }[/tex]

A printer can print 12 pages in 9 seconds. What is the closest estimate of the
number of pages it can print in one minute?
120
100
45
72

Answers

Answer:

72 is the closest.The printer will primt 80 pages in one minute

Answer:

72

Step-by-step explanation:

12 pgs in 9 sec

*[tex]\frac{20}{3}[/tex]             *[tex]\frac{20}{3}[/tex]

≈80 pgs in 60 sec

Hope this helps!!!

Please mark me as brainliest!!!

PLEASE HELP WILL GIVE BRAINLEST! What is the amplitude of the function graphed below?

Answers

Answer:

[tex]2\pi[/tex]

That's it

Please can anybody help me with this:
Show that (x − 9)(x − 1) ≡ x^2 − 10x + 9

Answers

        We will expand the factored form of (x − 9)(x − 1) into the same form as x² − 10x + 9 to show they are equal.

Distribute and multipy out:

(x − 9)(x − 1)

x * x = x²

x * -1 = -x

x * -9 = -9x

-9 * -1 = 9

Add together:

x² +  -x + -9x + 9

x² − 10x + 9

Use the Reflexive property:

x² − 10x + 9 = x² − 10x + 9 ✓

What is 8,-6 over the x-axis 90 degrees

Answers

Answer:

(6,8)

Step-by-step explanation:

The rule for 90 degree rotation is (x,y)=(-y,x)

So the answer is (6,8)

If you answer this I SWEAR OMM I WILL LOVE YOU FOR FREAKING EVER

Answers

Answer:

5/24 square mm

Step-by-step explanation:

A = lw

A = 5/8 x 1/3

A = 5/24

In parallelogram HIJK, the measure of angle H is 45∘.



Find the measure of angle J. Explain how you know.
Find the measure of angle K. Explain how you know.

Answers

Answer:

Step-by-step explanation:

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