Find the missing side lengths. Leave your answers as radicals in simplest form.

Find The Missing Side Lengths. Leave Your Answers As Radicals In Simplest Form.

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

To find x use the sine ratio in the right triangle and the exact value

sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{14\sqrt{3} }{x}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

x [tex]\sqrt{3}[/tex] = 28[tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )

x = 28

-----------------------------------------------------------

To find y use the tangent ratio in the right triangle and the exact value

tan60° = [tex]\sqrt{3}[/tex] , then

tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{14\sqrt{3} }{y}[/tex] = [tex]\sqrt{3}[/tex] ( multiply both sides by y )

14[tex]\sqrt{3}[/tex] = y [tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )

y = 14


Related Questions

A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6.
Which is a true statement about the diagram?

m∠5 + m∠6 = m∠1
m∠3 + m∠4 + m∠5 = 180°
m∠1 + m∠2 = 180°
m∠2 + m∠3 = m∠5

Answers

Answer:

m∠1 + m∠2 = 180°

Step-by-step explanation:

An interior angle and its exterior angle are supplementary (they add up to 180°).

I would really appreciate it if you would mark me brainliest!

Have a blessed day!

Answer:

c

Step-by-step explanation:

A circle has a radius of 6. An arc in this circle has a central angle of 48 degress. What is the length of the arc?

Answers

Answer: [tex]1.6\pi[/tex]

Step-by-step explanation:

If a circle has a radius of 6, then the perimeter of the circle is 12pi, or about 37.68.  A circle has 360 degrees.  Thus, the arc takes up 48/360 of the circle.  Thus, simply multiply [tex]\frac{48}{360} * 12\pi[/tex] to get 5.024 or 1.6pi.

Hope it helps <3

the answer would be 1.6pi

Can someone please help I don’t know which one is it please help me

Answers

Answer:

m= - 3

b= 3

Step-by-step explanation:

Consider the function. Which statement correctly describes the function’s behavior around its vertical asymptote?
A) As x → –2–, f(x) → ∞ and as x → –2+, f(x) → ∞.
B) As x → –2–, f(x) → –∞ and as x → –2+, f(x) → ∞.
C) As x → –2–, f(x) → –∞ and as x → –2+, f(x) → –∞.
D) As x → –2–, f(x) → ∞ and as x → –2+, f(x) → –∞.

Answers

Answer:

B) As x → –2–, f(x) → –∞ and as x → –2+, f(x) → ∞.

Step-by-step explanation:

2020 edg.

A function assigns the values. The correct option is B.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

The statement that correctly describes the function's behavior around its vertical asymptote is As x → –2–, f(x) → –∞ and as x → –2+, f(x) → ∞. Thus, the correct option is B.

Learn more about Function:

https://brainly.com/question/5245372

#SPJ2

13. Gayle is getting ready for her first day of school. She has 7 new dresses to choose from and 4
new pairs of shoes. How many different outcomes are possible for Gayle to wear one dress and
one pair of shoes?

Answers

Answer:

49

Step-by-step explanation:

7 times 4 equals 49.

I NEED HELP PLEASE HURRY, THANKS! :)

Answers

Answer:

B

using SOHCAHTOA

COS THETA WILL BE EQUALS TO ROOT 5/3 AND TAN THETA WILL BE EQUALS TO 2ROOT 5/3

Answer:

B.

Step-by-step explanation:

First, note that since [tex]sin(\theta)=2/3[/tex], this means that the opposite side is 2, the hypotenuse is 3, and the last, adjacent side is [tex]\sqrt{5\\[/tex].

Also note that we are told that [tex]sec(\theta)<0[/tex]. This means that [tex]\theta[/tex] cannot be in quadrants 1 nor 4 because (remember All Students Take Calculus?) in those quadrants cosine and secant are positive. Also, we know that sine is positive so we can conclude that [tex]\theta[/tex] is in the second quadrant.

In the second quadrant, sine is positive, cosine is negative, and tangent is negative. Now we can answer the question. We already know the side lengths: opposite=2, adjacent=[tex]-\sqrt{5}[/tex] (because it's in Quadrant II), and hypotenuse=3.

Therefore...

[tex]cos(\theta)=-\sqrt{5} /3[/tex]

[tex]tan(\theta)=2/(-\sqrt{5})=-(2\sqrt{5}/5)[/tex]

What is X^2-9=0 I really need the answers

Answers

Answer:

X^2-9=0 is x2 = 9

Step-by-step explanation:

X^2= 9, therefore X=square root 9 = 3
So X=3



PLEASE HELP!!
LeBron buys 500 shares of Tiger Corporation for $10 a share. The corporation’s president is caught committing fraud and the stock drops to $3 a share. LeBron sells all his shares. How much can he take off his income as a capital loss this year?

Answers

Answer:

$3500 he can take off his income as a capital loss this year.

Step-by-step explanation:

Capital loss:

1. It is the loss realized when any investment's value gets decreased.

2. quantitatively it is the difference of price at which the invest is bought and price at which the investment is sold.

3. The condition for capital loss is that , selling price of investment should be less that buying price of same investment.

_________________________________________

Given

No. of shares bought = 500

cost of 1 share = $10

cost of 500 share = 500 *$10 = $5000

Thus, buying price of invest = $5000

Now price of share drops to $3 per share

thus  total price of share now = 500*$3 = $1500

Thus, he sold his investment at $1500

capital loss incurred by him = $5000 - $1500 = $3500 (Answer)

Answer:

$3,000

Step-by-step explanation:

When you do the math your total comes out to $3500, but the most money that you are allowed to take of your income as a capital loss is $3000 so the answer is $3000.

Question 3(Multiple Choice Worth 3 points)
(6.03)
What is the coefficient of the variable in the expression 2 - 5x - 4 + 8?

1. -5
2. O-4
3. 02
4. 08​

Answers

Answer:

-5

Step-by-step explanation:

The coefficient is the number that goes in front of the variable

The only variable is x and the number in front is -5

The coefficient is -5

Answer:

-5 i did the test

Step-by-step explanation:

A jar consists of blue, red and green marbles. The probability of each of them is 2/7 , 3/k and 5/2k. Find the value of k. solution

Answers

Answer:

the value of k is 7

Al aplicar el teorema de Pitágoras en alguno de los triángulos que aparecen en la figura, solo un planteamiento es el correcto, ¿cuál es?

Seleccione una:
a. h2 + b2 = c2
b. c2 + b2 = a2
c. Ningún planteamiento es correcto
d. a2 + m2 = b2

Answers

Question:

Found a picture which relates to the question asked. It can be found in the attachment below.

Answer:

b. c2 + b2 = a2

Step-by-step explanation:

According to Pythagoras rule :

The longest side of the triangle is the hypotenus

The opposite and adjacent sides depends on the particular angle provided or one which is to be calculated.

The opposite side is one drawn across a given angle, while the side next to the Given angle is called the adjacent side.

FROM △ABC ;

THE longest side is 'a' = hypotenus

Opposite side = c

Adjacent = b

From Pythagoras :

(Hypotenus)^2 = (Opposite)^2 + (adjacent)^2

Hence,

a^2 = c^2 + b^2

translate into an algebraic expression: b is decreased by 40% and decreased again by 40% . What is the result ?

Answers

Answer:

The result is 0.36b

Step-by-step explanation:

Here. we want to translate the wordings into an expression of algebra.

Firstly, we decrease b by 40%

40% is same as 40/100 = 0.4

So decreasing b by 40% = b-0.4(b) = b-0.4b = 0.6b

Now we want to decrease 0.6b by another 40%

= 0.6b -0.4(0.6b)

= 0.6b - 0.24b

= 0.36b

Find the solution to the problem and show your steps. -7x+9=3x+49

Answers

Answer:

x=-4 is the answer

Step-by-step explanation:

-7x+9=3x+49

Subtracting 3x on both sides

-7x-3x+9=49

Subtracting 9 on both sides

-10x=49-9

-10x=40

x=-4

I hope this will help you :)

A rectangular rug is 12.5 feet long and 10 feet wide. The rug needs to be reduced by a factor of One-fifth to be placed near a door. What is the area of the reduced rug, in square feet? 5 25 50 100

Answers

Answer:

5 Feet-

Step-by-step explanation:

I did the test-

Find the degree of the polynomial: [tex]2x^{2} y-4x^{5} +6xy^{3}[/tex]

Answers

Answer:

5

Explanation:

sum of the power of 2x^2y=2+1=3

sum of the power of 4x^5=5

sum of the power of 6xy^3=1+3=4

Highest power=5

Therefore, The degree of given polynomial is 5.

Hope this helps...

Good luck on your assignment..

Simplify the polynomial (3a^2+4a+25) - (2a^2+4a-5)

Answers

Answer:

The polynomial simplified would be a^2 + 30

I hope this helps you:))

P.S. Might I recommend a good online calculator for these types of problems. It's called Symbolab. I use it every day and it's a lifesaver. It shows the step-by-step and has a plethora of different actions like simplifying, inverse, and line.

What are the x-intercepts of y=2x^2+6x-20?

Answers

Answer:

the x-intercepts are -5 and 2

Step-by-step explanation:

[tex]y=2x^2+6x-20[/tex]

x-intercept is when y is set equal to zero

So, y = 0

[tex]0 = 2x^2+6x-20[/tex]

[tex]2x^3+6x-20 = 0\\Taking \ 2 \ common\\2(x^2+3x-10) = 0\\Dividing \ both \ sides \ by \ 2\\x^2+3x-10 = 0\\Using \ mid\ term \ break \ formula\\x^2+5x-2x-10 = 0\\x(x+5)-2(x+5)=0\\Taking \ (x+5) \ common\\(x+5)(x-2) = 0[/tex]

Either,

x+5 = 0     OR    x-2 = 0

x = -5       OR       x = 2

So, the x-intercepts are -5 and 2

Answer:

The x-intercepts would be (2, 0) and (-5, 0).

Step-by-step explanation:

To find the x-intercepts, substitute in 0 for y and solve for x.

0 = 2x^2 + 6x - 20.

Solve the equation.

x = 2, -5.

There are 1,000 cubic centimeters in 1 liter, 1,000 cubic millimeters in 1 milliliter, and 1,000 milliliters in 1 liter. How many cubic millimeters are there in 200 cubic centimeters?

Answers

Answer:

200,000 cubic milliliters

Step-by-step explanation:

PLEASE MARK BRAINLIEST

If ! is an operation such that
a!b= 2b + 2a/3b, what does
9!3 equal?​

Answers

Answer:

8

Step-by-step explanation:

Following the operation given with a = 9 and b = 3, then

9!3

= (2 × 3) + [tex]\frac{2(9)}{3(3)}[/tex]

= 6 + [tex]\frac{18}{9}[/tex]

= 6 + 2

= 8

How many coordinates can you find along this function? When graphed F(x)=mx+b when m=2 and b=1.

Answers

Answer:

assuming the graph is a 10 by 10 there would be 10 diffrent whole number coordinates.

What is the midpoint
of AB?
A has coordinatt 6
B has coordinate -10

Answers

Answer:

-2

Step-by-step explanation:

Hurry I WILL MARK YOU AS BRAINLIEST

Answers

Answer:

Third choice is correct

Step-by-step explanation:

-2x-y=-2

-y=2x-2

y=-2x+2

3x-y=-2

-y=-3x-2

y=3x+2

These two lines intersect at (0, 2)

There are ten meerkats in a colony. Every night, two meerkats stand guard while the others sleep. During a certain period of nights, every meerkat stands guard with every other meerkat exactly once. During that period, how many nights of sleep does each meerkat get?

Answers

Answer:

Each gets 36 nights of sleep every 45 nights.

Step-by-step explanation:

This is called the handshake problem, which is the same problem as n guests (including host) attend a party.  At the end, everyone shakes hands with everyone else.  The number of handshakes is each person shakes hands with (n-1) other persons to give n(n-1) handshakes.  However, this counts each handshake twice (A with B and B with A), so the actual number of handshakes is n(n-1)/2

For n=10, then number of "teams" of two meerkats is 10(10-1)/2 = 45.  

So each meerkat gets to be on duty 9 nights out of 45, or gets 36 nights of sleep every 45 nights.

help!!!! What is the area of the triangle?

Answers

Answer:

Option 4 ) Area = 24 cm²

Step-by-step explanation:

Area of Triangle = [tex]\frac{1}{2} Base * Height[/tex]

Where Base = 8 cm, Height = 6 cm

Area = [tex]\frac{1}{2} (8*6)[/tex]

Area = 48 / 2

Area = 24 cm²

Answer:

Sorry if i was incorrect that time but this time i'll tell u the correct answer

Let the length of 3rd side of triangle be x

X>(8-6) and x < (8+6) cms

Or 2cms <x<

14 cms Answer

Which of the following best describes how muckrakers brought about reform in the Progressive Era?
Muckrakers presented Americans with facts about corruption in government and industry and encouraged them to investigate further.
Muckrakers presented Americans with facts about corruption in industry and government that prompted them to demand change.
Muckrakers presented government officials with different ways to reform existing legislation.
Muckrakers presented government officials with facts about different industries and demanded change.

Answers

Answer:

B

Step-by-step explanation:

Both A and B are similar but the difference is that muckrakers did not present facts to encourage more investigation, they presented facts to make a change. There are many examples but one major one is Upton Sinclair and his book "The Jungle". It exposed the meat industry and how corrupted it was. This led to many changes such as new food safety laws.

Answer:

B edg

Step-by-step explanation:

Which of the following explains why cos 60º = sin 30° using the unit circle?

Answers

C


Is the answer hope this helped

I got 7. check my answer please :)

Answers

Answer:

7

Step-by-step explanation:

We look at where the two circles for Russian and Chinese overlap

The numbers in that area are 2 and 5

2+5 = 7

Answer:

Your answer is correct.

Step-by-step explanation:

5 speak Chinese and Russian, but 2 speak all languages

So add 5+2 to get 7.

So your answer is correct.

simplify (2) - (x2-x3+2x-1)

Answers

Answer:

-x + 3

Step-by-step explains:

Um... You can do it on a computer...

Translate into an algebraic expression 40 increased by x%

Answers

Answer:

x+2/5x

Step-by-step explanation:

x%of 40 is 2/5x

...40 increased by x% of it self = x+2/5x

set these 2 distances to equal each other

Answers

what are the distances
Other Questions
QuestionTutorialsQuestion 11O Mark this questionWhich element of Manifest Destiny is reflected in the following statement?"The vast frontier is destined to become part of the United States and a place where freedom anddemocracy reign."o White supremacyO Divine missionO Safety valveCapitalism Work out x. Give reasons for your answer. Identify each person below as structurally, frictionally, or cyclically unemployed. a. Jake recently lost his job as a dishwasher. Minimum-wage legislation keeps employers from adding more of the low-skill positions for which he qualifies, so he has been unable to find work. b. Rosa is a real estate agent. House sales in her area have declined because the region has been going through a recession. She has no clients and is currently looking for a new full-time job. c. Latasha just graduated from college and is looking for a full-time position with an investment banking firm. In the number .75, which number is in the tens place?5OOOO757 Solve the equations. 8x + 7y = 39 4x 14y = 68 Oceanographers often express the density of sea water in units of kilograms per cubic meter. If the density of sea water is 1.025 g/cm3 at 15C, what is its density in kilograms per cubic meter? Who was the first designer among the following to have license agreements for his designs?A. Cristobal Balenciaga B. Yves Saint Laurent C. Christian Dior D. Hubert de Givench For the galvanic (voltaic) cell Fe(s) + Mn2+(aq) Fe2+(aq) + Mn(s) (E= 0.77 V at 25C), what is [Fe2+] if [Mn2+] = 0.040 M and E = 0.78 V?Assume T is 298 K Rick is 20 years old, lives in the United States, and is not a US citizen. Which scenario could be true of Rick?Rick was born in Spain to parents who are both US citizens.Rick was born in the US territory of Guam.Rick is German and came to the United States a year ago.Rick was born and raised in a small town in Ohio. (a) According to Hooke's Law, the force required to hold any spring stretched x meters beyond its natural length is f(x)=kx. Suppose a spring has a natural length of 20 cm. If a 25-N force is required to keep it stretched to a length of 30 cm, how much work is required to stretch it from 20 cm to 25 cm?(b) Find the area of the region enclosed by one loop of the curve r=2sin(5). Dawn is going scuba diving. Which situation would be modeled by a positive number? Please helppp meeeee!!!!!! According to a 2017 survey conducted by the technology market research firm The Radicati Group, U.S. office workers receive an average of 121 emails per day. Suppose for a particular office the number of emails received per hour follows a Poisson distribution and that the average number of emails received per hour is three. (Round your answers to four decimal places.) (a) What is the probability of receiving no emails during an hour? (b) What is the probability of receiving at least three emails during an hour? (c) What is the expected number of emails received during 15 minutes? (d) What is the probability that no emails are received during 15 minutes? Identify a social program that is available only to low-income individualsSelect one:a. Medicare b. Social Security c. the public health insurance option d. the Supplemental Nutrition Assistance Program question is in the pic A strain of E. coli carries a mutation that completely inactivates the enzyme encoded in the gene. Several revertants, mutants of the mutant with partly or fully restored activity, were selected, and the amino acid sequence of the enzyme was determined. The only differences found were at position 10 in the polypeptide chain.Revertant 1 had Thr.Revertant 2 had Glu.Revertant 3 had Met.Revertant 4 had Arg.Assume that the initial mutation itself, as well as each revertant, resulted from a single nucleotide substitution.a. What amino acid is present at position 10 in the mutant protein?b. What codon in the mRNA would encode this amino acid? What is the definition of a Robot???? A Christian needs to have answers to questions about his faith so that: answer: he may lose his faith, he will become confident in his faith, he may change his faith. Assume that the probability of the binomial random variable will be approximated using the normal distribution. Describe the area under the normal curve that will be computed. Find the probability that at leastat least 3535 households have a gas stove. Will give brainiest answer