The hypotenuse of a 30°-60°-90° triangle is 18. Find the lengths of the other sides.

Answers

Answer 1

Answer:

  9, 9√3

Step-by-step explanation:

The ratios of sides in a 30°-60°-90° triangle are ...

  1 : √3 : 2

The shortest is half the longest. If the longest is 18, the others are 9, 9√3.


Related Questions

The initial balance of a savings account was $275 Adter which transactions will the balance of the savings account be the same as the initial balance?

A. a withdrawal or $232 followed by a deposit of $132

B. a deposit of $278 followed by a withdrawal of $278

C. a withdrawal of $115 followed by a deposit of $312

D. a deposit of $205 followed by a withdrawal of $317

Answers

The transactions that would leave the initial balance the same are a deposit of $278 followed by a withdrawal of $278.

The transactions that would leave the initial balance the same are transactions that net to zero. Withdrawals reduce the balance in the account. Deposits increase the value of the balance in the account.

Option A: Net balance

$275 - $232 + 132 = $175

Option B: Net balance

$275 + $278 - $278 = $275

Option C: Net balance

$275 - $115 + $312 = $472

Option D: Net balance

$275 + $205 - $317 = $163

To learn more about subtraction, please check: https://brainly.com/question/854115

negative eight i multiplied by five i

Answers

40 is the answer uhhhhhhhhh yea I’m sure it’s

QUESTION 14 PLEASE HELP ME ASAPP

Answers

Answer:

A

Step-by-step explanation:

A. 2 toys/5 minutes

y/x

Step-by-step explanation:

Why use brainly for this

Help again please ?? I have 5 more that needs to be answer also ..

Answers

It’s 43, so A, the first one

The next two systems do NOT have opposite like terms.​

Answers

Answer:

x = 0

y = -1

Step-by-step explanation:

Multiply second equation with -1

(-1) * (-3x - 8y) = 8

3x + 8y = -8 now find its sum with the first equation

2x - 8y + 3x + 8y = 8 - 8 add like terms (note that minus 8y will eliminate +8y)

x = 0 to find the value  of y replace the x with 0 in the first equation

2*0 - 8y = 8

-8y = 8 divide both sides by -8

y = -1


[tex]prove that\ \textless \ br /\ \textgreater \ \frac { \tan \theta + \sec \theta - 1 } { \tan \theta - \sec \theta + 1 } = \frac { 1 + \sin \theta } { \cos \theta }[/tex]
pls i want the answwr as fast u can
ASAP !


MisterBrainly Answer Please :((((
0r any top user
who will answer correctly he will be a good user
plz answer​

Answers

[tex] \large \bigstar \frak{ } \large\underline{\sf{Solution-}}[/tex]

Consider, LHS

[tex]\begin{gathered}\rm \: \dfrac { \tan \theta + \sec \theta - 1 } { \tan \theta - \sec \theta + 1 } \\ \end{gathered}[/tex]

We know,

[tex]\begin{gathered}\boxed{\sf{  \:\rm \: {sec}^{2}x - {tan}^{2}x = 1 \: \: }} \\ \end{gathered} 

\\ \\ \text{So, using this identity, we get}

\\ \\ \begin{gathered}\rm \: = \:\dfrac { \tan \theta + \sec \theta - ( {sec}^{2}\theta - {tan}^{2}\theta )} { \tan \theta - \sec \theta + 1 } \\ \end{gathered}[/tex]

We know,

[tex]\begin{gathered}\boxed{\sf{  \:\rm \: {x}^{2} - {y}^{2} = (x + y)(x - y) \: \: }} \\ \end{gathered}  \\ [/tex]

So, using this identity, we get

[tex]\begin{gathered}\rm \: = \:\dfrac { \tan \theta + \sec \theta - (sec\theta + tan\theta )(sec\theta - tan\theta )} { \tan \theta - \sec \theta + 1 } \\ \end{gathered}[/tex]

can be rewritten as

[tex]\begin{gathered}\rm\:=\:\dfrac {(\sec \theta + tan\theta ) - (sec\theta + tan\theta )(sec\theta -tan\theta )} { \tan \theta - \sec \theta + 1 } \\ \end{gathered} \\ \\ \\\begin{gathered}\rm \: = \:\dfrac {(\sec \theta + tan\theta ) \: \cancel{(1 - sec\theta + tan\theta )}} { \cancel{ \tan \theta - \sec \theta + 1} } \\ \end{gathered} \\ \\ \\\begin{gathered}\rm \: = \:sec\theta + tan\theta \\\end{gathered} \\ \\ \\\begin{gathered}\rm \: = \:\dfrac{1}{cos\theta } + \dfrac{sin\theta }{cos\theta } \\ \end{gathered} \\ \\ \\\begin{gathered}\rm \: = \:\dfrac{1 + sin\theta }{cos\theta } \\ \end{gathered}[/tex]

Hence,

[tex]\begin{gathered} \\ \rm\implies \:\boxed{\sf{  \:\rm \: \dfrac { \tan \theta + \sec \theta - 1 } { \tan \theta - \sec \theta + 1 } = \:\dfrac{1 + sin\theta }{cos\theta } \: \: }} \\ \\ \end{gathered}[/tex]

[tex]\rule{190pt}{2pt}[/tex]

68 is 40% of what number?A.17 B.136 C.170D.270

Answers

Answer:

C. 170

Step-by-step explanation:

68/4=17

17 is 10% of the unknown number

17 times 10 is 170

Answer:

C. 170

Step-by-step explanation:

68 is 40% of what number?

A.17

B.136

C.170

D.270

68 : 40 * 100 = 170

A lock consist of 4 dials, where each dial has 6 letters.what is the probability of guessing the right combination in one try?

Answers

Answer:

Step-by-step explanation:

The total number of choices is 6 * 6 * 6 * 6 = 1296

You have one chance to get it right

That's 1/1296 = 0.00077

Answer:

1/1296

Step-by-step explanation:

The probabilty of getting one of the dials correct is 1/6 because there are 6 letters on each dial. So if there are 4 dials, then the chance is multiplied by itself 4 times (1/6 * 1/6 *1/6 * 1/6). 1/6 * 1/6 *1/6 * 1/6 is equal to 1/1296.

Help please, ill give 5 stars, and brainly ofc (if correct)

Answers

Answer:

Step-by-step explanation:

part a = 1 x 4

part b = b

Answer:

y=2x+25

the graph is B.

Step-by-step explanation:

Help help help math math

Answers

Answer:

yes

Step-by-step explanation:

x increases by 2, and y increases by 3 consistently

Answer:

No

Step-by-step explanation:

please mark me brainliest

I need help I need help

Answers

Answer:

click on image

Step-by-step explanation:

click on the image

Solve for X


show your work

Answers

Answer:

alternate exterior angles are equal .

17x + 2 = 18x - 2

x = 2 + 2

x = 4

Step-by-step explanation:

I believe it’s x = 4

I need help with this math problem please... 6x+2 if x=3

Answers

Answer:

20 is answer, hope it helps ypi

Answer:

20

Explanation:
6x + 2 if x = 3
6(3)+2
18+2 =20

You only have to substitute x

Hope this helps!

Need help finding a domain

Answers

Answer:

the domains is

[tex] - 10 < x \leqslant 10[/tex]

Christian buys a two-gallon bottle of juice for $28.16. What is the unit rate of the cost of the juice per fluid ounce?

Answers

Answer:

$0.22

Step-by-step explanation:

128 oz in a gallon

2 gallons is 256oz

28.16*2=56.32

56.32/256=0.22

There are 4 circles and 16 squares. What is the simplest ratio of circles to the total of shapes

Answers

Answer:

Not including circles in total shapes: 1 circle to every 4 squares or 1:4

Including circles in total shapes: 1 circle to every 5 shapes or 1:5

Step-by-step explanation:

16 ÷ 4 = 4

20 ÷ 4 = 5

Answer: 1:5

Step-by-step explanation:

Factor the given expression. 125x^3+521

Answers

Answer:

its (5x+8)(25x^2-40x+64

Step-by-step explanation:

Tyrone works in a grocery store and he puts boxes on shelves. There are 4 shelves in the cereal section of the store. All shelves hold the same number of boxes of cereal. If there are 80 boxes of cereal on the shelves, how many boxes are on each shelf? In complete sentence

Answers

Divide 80 (the number of boxes) by 4 (the number of shelves) and you’ll get 20. There are 20 boxes of cereal on each shelf.

If 11% of a number equals 12, find 66% of that number

Answers

Answer: 72

Step-by-step explanation:

0.11*a = 12

0.66*a = ?

Hint: We don't need to find a to answer this question! Just find the relationship with these equations.

0.66*a = 6*(0.11*a) = 6*12 = 72

I have a red, blue, green, and yellow ball. If I put them all in a bag and pick one ball at a time (putting it back each time), what chance do I have of never picking a red ball, assuming I pick a color 40 times. Write as a decimal/percentage. (20 points! A good answer would be appreciated)

Answers

Answer:

Step-by-step explanation:

You have four balls

A draw of blue, green or yellow (3 balls) means success for NOT drawing a red ball

You have a 3 in 4 chance of not drawing a red ball on the first  draw.

With replacement, the 3 in 4 chance occurs on every draw

the odds multiply together for each draw.

Chance of not drawing a red ball in 40 tries is (3/4)⁴⁰

or about 1 in 10⁻⁵ or 0.00001


PLEASE HELP FAILING ...A random variable x has a mean of 22 and a standard deviation of 3.1. Random samples of size 40 are drawn, and the sample mean calculated each time. What is the probability that, for a given sample, is 21?

Answers

The sample sizes are quite large, so the central limit theorem applies. (It typically does as soon as the sample size exceeds 30 or so.) This means that the sample mean will be approximately normally distributed with the same mean 22 but standard deviation 3.1/√40 ≈ 0.4902.

Now, if the question is asking about the probability of the sample mean being an exact number, that probability would be zero.

But if you meant to ask something else, like "what is the probability that the sample mean is less than 21?" then we would have a non-zero probability. In this particular case, if Y is a random variable for the sample mean, then

Pr[Y < 21] = Pr[(Y - 22)/(3.1/√40) < (21 - 22)/(3.1/√40)]

… ≈ Pr[Z < -2.0402]

… ≈ 0.0207


7 cm
rom
This quarter circle has a radius of 7 centimeters.
What is the area of this figure?
Use 3.14 for pi.
Enter your answer as a decimal in the box. Round your answer
to the nearest hundredth

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Area of quarter = 1/4 × Area of whole circle

that is ~

[tex] \sf \dfrac{1}{4} \times \pi {r}^{2} [/tex]

[tex] \sf \dfrac{1}{4} \times 3.14 \times 7 \times 7[/tex]

[tex] \sf \dfrac{153.86}{4} [/tex]

[tex] \sf \approx38.46 \: \: cm {}^{2} [/tex]

wren is going to add an ordered pair to the table that will cause the table to no longer be a function. Which could be the ordered pair?
X Y
-3 7
-1 5
0 3
2 6
_ _

Answers

Answer:

(0,-2)

Step-by-step explanation:

3.-Las 80 habitaciones de un motel se podrían alquilar todas las noches si el director cobrará
40 € o menos por habitación. Si se cobra (40+x) € por habitación, entonces 2x habitaciones
permanecerán vacantes. Si cada habitación alquilada le cuesta al director 10 € al día y cada
habitación no alquilada 2 € al día, ¿qué precio debería cobrar el director por habitación para
maximizar su beneficio diario?
4.- Un fabricante de automóviles vende 2000 coches al mes, con un beneficio medio de 1000 €
por coche. Las prospectivas de mercado indican que por cada 50 € de descuento que el
fabricante ofrezca a los compradores podría vender 200 coches más al mes.
¿Cuánto descuento debería ofrecer para maximizar el beneficio mensual?

Answers

3) Para maximizar su beneficio diario el director debería cobrar cada habitación a €56.

4) El fabricante debería ofrecer un descuento de 150€ para maximizar su beneficio mensual.

3- Dado que las 80 habitaciones de un motel se podrían alquilar todas las noches si el director cobrara 40€ o menos por habitación, y si se cobra (40+x) € por habitación, entonces 2x habitaciones permanecerán vacantes, para determinar, si cada habitación alquilada le cuesta al director 10 € al día y cada habitación no alquilada 2 € al día, qué precio debería cobrar el director por habitación para maximizar su beneficio diario, se deben realizar los siguientes cálculos:

80 x 40 - 80 x 2 = 304070 x 50 - 10 x 10 - 70 x 2 = 326060 x 60 - 20 x 10 - 60 x 2 = 328065 x 55 - 15 x 10 - 65 x 2 = 329566 x 54 - 14 x 10 - 66 x 2 = 329264 x 56 - 16 x 10 - 64 x 2 = 329663 x 57 - 17 x 10 - 63 x 2 = 3295

Por lo tanto, para maximizar su beneficio diario el director debería cobrar cada habitación a €56.

3) Dado que un fabricante de automóviles vende 2000 coches al mes, con un beneficio medio de 1000 € por coche, y las prospectivas de mercado indican que por cada 50 € de descuento que el fabricante ofrezca a los compradores podría vender 200 coches más al mes, para determinar cuánto descuento debería ofrecer para maximizar el beneficio mensual se debe realizar el siguiente cálculo:

1000 x 2000 = 2.000.000900 x 2400 = 2.160.000800 x 2800 = 2.240.000700 x 3200 = 2.240.000600 x 3600 = 2.160.000850 x 3000 = 2.550.000

Por lo tanto, el fabricante debería ofrecer un descuento de 150€ para maximizar su beneficio mensual.

Aprende más sobre matemática en https://brainly.com/question/25809832

QUESTION 20 PLEASE HELPPPP ASAPPPP

Answers

Answer: x=-1, y=-8

Step-by-step explanation: solve for the first variable in one of the equations then subsitutte the result into the other equation

this drawing shows an isosceles triangle work out the size of angle a plz help as soon as possible thks




Answers

Answer:

70°

Step-by-step explanation:

Size of angle a = (180°-40°) ÷ 2 (angle sum of triangle; base angles of isos triangle)

                         = 140° ÷ 2

                         = 70°

Answer:

a + 40° = 180°

a t40°-40° =180°- 40°

a = 140°

Step-by-step explanation:

isosceles add up to 180°

How do you divide fractions? Can someone please explain step by step to get marked as brainliest!

Answers

When diving fractions, use KFC:

K eep the first fraction the same

F lip the second fraction upside down

C hange the divide sign to a multiply

After, just work it out multiplying the denominators and the numerators together getting your answer

Hope this helped you, have a good day bro cya)

Use KCF:
K: Keep ( keep the first fraction the same)
C: Change (change your division sign to a multiplication sign)
F: Flip (flip your second faction numbers)

Ex.
Equation: 3/5 divided by 2/6
KCF: 3/5 multiplied by 6/2

Hope this helps!

basically how to write y-3=4(x+2) in slope intercept form

Answers

Answer: y = 4x + 11

Step-by-step explanation:

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

y = mx + b

Rewrite in slope-intercept form.

Simplify the right side.

Simplify 4(x + 2).

y - 3 = 4x + 8

Move all terms not containing y to the right side of the equation.

Add 3 to both sides of the equation.

y = 4x + 8 + 3

Add 8 and 3.

y = 4x + 11

Your Welcome! :)

(a) 3 2. The seventh number in a sequence of numbers is 31 and each number after the first number in the sequence is 4 less than the number immediately preceding it. The 9th number in the sequence is: (b) 43 (c) 39 (d) 47​

Answers

Answer:

23 because its supposed to be 8 numbers less

Describe what is meant by the operation of division using the terms dividend , divisor , and quotient

Answers

Answer:

Dividend: Number on top

Divisor: Number on bottom

Quotient: Answer

Dividend ÷ Divisor = Quotient

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