Special Right Triangles

Special Right Triangles

Answers

Answer 1

Answer:

first option

Step-by-step explanation:

Using the sine/ cosine ratios in the right triangle and the exact values

sin30° = [tex]\frac{1}{2}[/tex] , cos30° = [tex]\frac{\sqrt{3} }{2}[/tex]

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{32}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2x = 32 ( divide both sides by 2 )

x = 16

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

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{y}{32}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2y = 32[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

y = 16[tex]\sqrt{3}[/tex]


Related Questions

What is the slope of the line in the graph?

-4/3
-3/4
3/4
4/3

Answers

B -3/4 you take the two points

Look for a Pattern: In a recent year. One United States dollar was equal to about 82 Japanese yen. How many Japanese Yen are equal to $100? $1,000? $10,000?

Answers

Answer:

[tex]\$100 = 8200\ Yen[/tex]

[tex]\$1000 = 82000\ Yen[/tex]

[tex]\$10000 = 820000\ Yen[/tex]

Step-by-step explanation:

Given

[tex]\$ 1 = 82\ Yen[/tex]

Solving (a): Equivalent of $100

Represent this with x.

So, we have:

[tex]\$100 = x[/tex] and

[tex]\$ 1 = 82\ Yen[/tex]

Cross Multiply:

[tex]x * \$1 = 82\ Yen * \$100[/tex]

[tex]x * 1 = 82\ Yen * 100[/tex]

[tex]x = 8,200\ Yen[/tex]

Hence:

[tex]\$100 = 8200\ Yen[/tex]

Solving (b): Equivalent of $1000

In (a)

[tex]\$100 = 8200\ Yen[/tex]

Multiply both sides by 10

[tex]10 *\$100 = 8200\ Yen * 10[/tex]

[tex]\$1000 = 82000\ Yen[/tex]

Solving (c): Equivalent of $1000

In (a)

[tex]\$100 = 8200\ Yen[/tex]

Multiply both sides by 100

[tex]100 *\$100 = 8200\ Yen * 100[/tex]

[tex]\$10000 = 820000\ Yen[/tex]

Pls help asp here are some points

Answers

Answer:

(the last one)

Step-by-step explanation:

Hi there!

This looks like a diagnostic. I had to take one last week and it was horrible!

Anyway, the numerator is the product of 5 and the sum of x and y, which can be written as 5(x+y)

The denominator is the product of negative 8 and x, which can be written as -8x.

I hope this helped!

PLS AWNSER IS LOTS OF POINTS
Johnny pays $5 a month to use an online ordering service for his company. He has to pay an additional $2 for each order placed. Graph the
equation y=2x+5 to model this equation

Answers

This is the graph - I used demos to help demonstrate it. The y axis is (0,5) and the x axis is (-2.5,0).

ITS RATIOS
BTW DON'T MIND I ANSWERED IT I CLICKED ONE BY ACCIDENT

Answers

Answer: 9:4

Step-by-step explanation:

I think

PLEASE HELP TIMED TEST!!!


Which interval below correctly describes the domain of the graph f ( x ) ? a.) (-∞,3} b.) [-3,5] c.) [-5,3] d.) (-∞,∞)

Answers

Answer:A

Step-by-step explanation:

If they both go down from 3 then it is 3 and then -infinity.

(this is my best answer without a picture, hope you get it right!)

please help me with this thankyou ​

Answers

Answer:

Area of the Rectangle is (length×breadth)

[tex]5 {x}^{5} {y}^{3} \times {(7 {x}^{3}y) }^{4} = 5 {x}^{5} {y}^{3} \times 2401 {x}^{12} {y}^{4} \\ = 12005 {x}^{17} {y}^{7} [/tex]

Third option is the right answer.

What percent of $144 is $18?​

Answers

Answer:

Step-by-step explanation:

it is 12.5

Answer: the answer is 12.5%

What is 11/12 of a minute?

Answers

11/12 of a minute is 55 seconds

Answer:

55 seconds

Step-by-step explanation:

Okay so, 1/12 of a minute would be 5 seconds. 10/12 would be 50 seconds. You go up 5 continuously.

the point 2,1 is the turning point of the graph with the equation y=x^2+ax+b

Answers

Answer:

14‏/12‏/2019 — However, we know that the line passes through two known points with x and y coordinates. ... The equation of a curve is y = x^2 + ax + b where a and b are integers. ... x2 (or second order polynomial) graphs are symmetrical about their turning point ... Therefore, we know that the line intercepts the x-axis at (-1,0) and (5,0).

Step-by-step explanation:

Answer:

a = -4, b = 3

Step-by-step explanation:

sorry, im a bit late but hoping to help others that need the answer.

when you complete the square for a quadratic, you r answer can come in the form (x+p)^2+q.

in this form, p is the opposite of the x coordinate.

and q is the same as the y coordinate.

to get p and q from this, we find the opposite of the x coordinate and use the y coordinate we are given, and plug them into this equation.

we get: (x-2)^2+1

lets complete the equation now.

(x-2)^2 = x^2 - 4x + 4, then add the one we left out = x^2 - 4x + 5.

now our equation is in the same format as y=x^2+ax+b so we can just pull out the A and B which gives us:

A = -4

B = 5

if i am wrong please feel free to correct me, ty.

A football team moved -8 yards on one play, then lost another 4 yards on the next play. How many total yards did the football team move on those two plays?​

Answers

Answer:

12 yards

Step-by-step explanation:

you subtract negative 8 and 4 and it gives you twelve yards of the play

Isabella's football team lost 2 yards on a running play.
Then they received a 20-yards penalty making them
lose an additional 20 yards.
Write a subtraction expression to represent the change
in yards.
Then write an equivalent addition expression.
What is the team's total change in yards?

Answers

Answer:

A loss of 22 yards

Step-by-step explanation:

(-2)+(-20)=-22

h(n) = 3^n+3; Find h (3n)

Answers

Answer:

[tex] h(3n) = 27^{n}+3 [/tex]

Step-by-step explanation:

[tex]h(n) = 3^n+3 \\ \\ plug \: n = 3n \\ \\ h(3n) = 3^{3n}+3 \\ \\ \red{ \bold{ h(3n) = 27^{n}+3 }}[/tex]

PLz help an show work for brainlist

Answers

Step-by-step explanation:

Its option D

As, for red $12 is charged

So 35 x $12 = 420

And white is $10

So, 20 x 10 = $200

= $420 + $200 = $620

Hope this helps

what equation represents the line show​

Answers

Answer:

From looking at the graph, we can already tell it's a negative slope because it's tilting down, so we can eliminate A and D. Where the line intersects the y-axis is the y-intercept or b. Since it intersects at (0,2), the equation should be y=-2x+2.

C?

because 2 is the rise, 4 is the run (always rise over run) simplify that and you’ll get 1/2 ... but since it’s a negative slope, it is -1/2.

Factor -45x - 18 using the greatest common factor. Do not use spaces in your answer

Answers

Answer:
-9(5x+2)

Step by step explanation:

The ratio of the perimeter of the rectangle ABCD to the perimeter of rectangle EFGH is 4:7. The value of x is

Answers

Answer:

x = ~8.76

Step-by-step explanation:

Since we know that the scale factor is 4:7, we can figure that 5 will be 4/7 the size of x.

4/7 = 0.571

5 / 0.571 = ~8.76

Solve the following inequality. 36> -2(x+4)+14

Answers

Answer:

x > - 15

Step-by-step explanation:

Given

36 > - 2(x + 4) + 14 ← distribute and simplify right side

36 > - 2x - 8 + 14

36 > - 2x + 6 ( add 2x to both sides )

2x + 36 > 6 ( subtract 36 from both sides )

2x > - 30 ( divide both sides by 2 )

x > - 15

What should be the height of the water after 13 marbles are dropped in?

Answers

Answer:

about 13 marbles

Step-by-step explanation:

Pls
Help!!!!!
Directions: Find all missing angles.

Answers

Answer:

m<1 = 87°

m<2 = 45°

m<3 = 45°

m<4 = 52°

Step-by-step explanation:

Angle C is a right angle. Therefore, it is 90°. Because line segment BC bisects angle C, the two angles would be 45° since 90 ÷ 2 = 45.

So, angles 2 and 3 equal 45°.

Now that we have two angle measures, we can find the measure of the third angle.

45 + 48 = 93°

180 - 93 = 87°

Angle 1 equals 87°.

45 + 83 = 128°

180 - 128 = 52°

Angle 4 equals 52°.

Hope that helps.

Select all that are equal to 5^3• 5^-7

Answers

What are the answer choices

Answer: its b and c

Step-by-step explanation:

Set up a proportion to solve for x.
A 18
B) 9
C) 4.2
D) 3
HELPP

Answers

It’s C. (4.2)

Explanation:
6x3=18

Then find the square root of 18

=4.2

Which of the following values are solutions to the
inequality –8 + 2x > 5

Answers

Answer:

6

Step-by-step explanation:

i guess

Conray is 72 years old. He is three times his daughter's age. His daughter is three years younger than Nia.
How old is Nia?
1️⃣0️⃣‼ POINTS!!!​

Answers

Answer: 27 I think

Step-by-step explanation:

72 divided by 3 plus 3

The age of Nia is given by the equation N = 27 years old

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the age of Nia be represented as N

Now , the equation will be

Let the age of Conray be C

The value of C = 72 years

And , Conray is three times his daughter's age

Let the age of Conray's daughter be D

The value of D = C / 3

Substituting the values in the equation , we get

The value of D = 72/3 = 24 years

And , Conray's daughter is three years younger than Nia

So , N = D + 3

Substituting the values in the equation , we get

N = 24 + 3

On simplifying the equation , we get

N = 27 years

Therefore , the value of N is 27 years

Hence , the age of Nia is 27 years

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Solve And Graph 12 + 6 _> 42

Answers

Answer:

Steps

12+6>42

simplify

18>42

There for the solution us FALSE

f(n) = 4n +3
g(n) = 3n²+2
Find f(n) - g(n)
help lol

Answers

Answer:

[tex](4n + 3) - (3 {n}^{2} + 2) \\ = 4n + 3 - 3 {n}^{2} - 2 \\ = - 3 {n }^{2} + 4n + 1 \\ ( - 3 {n}^{2} - 3n) - (1n + 1) \\ - 3n(n + 1) - 1(n + 1) \\ (n + 1)( - 3n - 1) \\ n = - 1 \\ n= \frac{1}{ - 3} [/tex]

Answer:

[tex]f(n) - g(n) = (4n + 3) - (3 {n}^{2} + 2) \\ = 4n + 3 - 3 {n}^{2} - 2 \\ = \boxed{4n - 3 {n}^{2} + 1}[/tex]

(4n²-3n+1) is the right answer.

which expression has 3 terms

Answers

Answer:

D

Step-by-step explanation:


Benito wants to buy a car. He is considering two different models, Model Ais 5 ft wide. Model B is 87 in, wide. Express the width of each car in ft using a decimal. Which car is wider?

Answers

Model B is wider Bc it’s 7.25 ft

7w + 3 + 2w + 9 simplified

Answers

The answer is 9w + 12

hope this helps!

Answer:

9w + 12

Step-by-step explanation:

First, add the 7w and the 2w

7w + 2w = 9w

Second, add 3 and 9

3 + 9 = 12

Last, add the two together

9w + 12 =

Hope this helps!

6r +9r - 2r - 13n combine like terms.

Answers

Answer:

13r-13n

Step-by-step explanation:

just add 9r+6r get 15r then subtract it by 2r then you get 13r and you can't subtract unlike terms

Answer:

13r-13n

Step-by-step explanation:

6r+9r = 15r

15r-2r = 13r

13r-13n

Other Questions
the one who gives best answer,I will mark u brainleist!!1.province number 2 consists of more cultivator cultivable land compared to other provinces how should it be utilised to get more benefit present your views!! Which statement best completes the diagram?Culture of theUnited StatesThere is a wide rangeof ethnic groupsThe majority ofthe populationspeaks English?Helps ASAP will give brainliest Rewrite as a simplified fraction. 0.51 = ? Where do you look in a plant cell to find dividing cells Helpppppppppppppppp pleaseeeeee If MN is a midsegment of ABC, find the values of x and y. How do energy and matter move through an ecosystem?A)Energy cycle, matter flows B)Energy flows, matter cycles C)Both energy and matter cycle D)Both energy and matter flow deb Found 56 tulips for $8. Please help Deb figures out the ratio should we spend valuable resources on space exploration? 3) The decision in Brown v. Board of Education addressed the issue ofA) segregation. B) voting rights. C) school funding. D) Affirmative Action. CAN SOMEONE PLZ HELP ME!! Write an introduction of 75 words or more. Be sure to include:description of settingintroduction to main charactershook your reader with a vivid description or interesting quoteI have a narrative chart to tell you what to write.Please, please, please help me!!!!! Factor the quadratic expression completely.2x2 + 7x + 3 Which numbers below represents a repeating decimal? Check all the boxes that apply.*-2/3-3/53/1011/20 Select the expression that represents the distance between the numbers r and p In reacting to the French Revolution, what side did Washington pick tosupport? *5 poinFranceSpainUSANeither Why was the Battle of Midway called a battle between David and Goliath? Hello. I was stuck on this. Can you please help? Will give brainliest answer to the best one. Theres no need to go into a big explanation, just saying. Will give 5 stars and thanks. What is the target market or customer base for bio-ink organs ? can pls answer this serious Mount Everest is 29,029 feet high. What isthe height of Mount Everest in kilometers? What is the answer to this Question?8 6 (x 4) = 2x 2 (4x 5) + 22