How do you solve a 30 60 90 right?

Answers

Answer 1

Remembering the ratio of 1: 3: 2 and understanding that the smallest side length is always opposite the shortest angle (30°) and the longest side length is always opposing the greatest angle (90°) can help you recall the 30-60-90 triangle principles.

A 30-60-90 triangle can have three sides, and if you only know one, you can use shortcuts to discover the other two. The three scenarios you encounter when performing these computations are as follows:

You are aware of the short leg (the side across from the 30-degree angle). To determine the hypotenuse, multiply the length by two. The long leg may be calculated by multiplying the short side by the square root of 3.You are aware of the hypotenuse. To get the short side, divide the hypotenuse by two. To determine the long leg, multiply this response by the square root of 3.You are aware of the long leg (the side across from the 60-degree angle). To determine the short side, divide this side by the square root of 3. To determine the hypotenuse, multiply that amount by two.

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Related Questions

What is the sum of 4 3/4 and 5 2/3

Answers

10.4166. I’m pretty sure that’s the answer.

Answer:

10 and 5/12 is the answer

Step-by-step explanation:

show your work

4+3/4+5+2/3

4+5=9

3/4+2/3=?

9/12+8/12=17/12

17/12+1 and 5/12

= 9+ 1/5/12 = 10 ans 5/12

A carpet, measuring 4m by 2. 5 m, cost $86. Find the cost of a carpet of the same quality, measuring 5m by 3m. ​

Answers

The cost of a carpet of the same quality, measuring 5m by 3m is $129.

We can use the unitary method to solve this problem. The unitary method is a technique used for solving a problem by first finding the value of a single unit, and finding the necessary value by multiplying the single unit value.

In this question, it is given that a carpet measuring 4m × 2.5m costs $86. That means the 10m² area of carpet costs $86 if we divide 10 by both the cost and area of the carpet we will find that, 1 m² area of carpet will cost $8.6. So the cost of a carpet of 5m × 3m will be the area of the carpet multiplied by the cost of the carpet per 1 m² i.e, 15m² of carpet will cost $8.6 × 15 which is equal to $129.

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freeeeeeeeeeepointssssssssssssssssss

Answers

Answer:

thanks

Step-by-step explanation:

Answer:

Thank you so much! Have a great day! :)

Step-by-step explanation:

Look at photo





————————————————————————

Answers

Huh what about the photo you gotta b

Isaiah is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if he rolls a fair die in the shape of a cube that has six sides labeled 1 to 6, spins a spinner with four equal-sized sections labeled Red, Green, Blue, Orange, and flips a coin?

Answers

Answer:

48 outcomes

Step-by-step explanation:

Outcomes

6 for the die, 4 for the spinner, 2 for the coin

Total outcomes:

6*4*2 = 48

Find the area and circumference of a circle with a radius of 18 in. Round
to the nearest hundredth.

Answers

ANSWER:-

where is the given part

divide using long division

Answers

When 392,196 is divided by 87, the answer obtained using long division is 4,508.

What does math's long division mean?

The mathematical procedure for splitting big numbers into several smaller groups or sections is known as long division. The dividend is the number we divide into smaller groups, while the divisor is the number through which we divide. Difficulty difficulty can be solved by breaking it down into manageable parts.

According to the given information:

Dividend : 392,196

Divisor: 87 (number that divides)

39 / 87 = 0

392 / 87 = 4 (87x 4 = 348) - 4 is the first digit of the result

392 - 348 = 44 (remainder)

441 (next digit is one) / 87 = 5 (87x 5= 435) - 5 is the second digit

441-435 = 6 (remainder)

69 / 87 = not possible so add a 0, which is the third digit

696 / 87 = 8 (87x 8 = 696)

696- 696 = 0 (not remainder)

When 392,196 is divided by 87, the answer obtained using long division is 4,508.

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I understand that the question you are looking for is:

392,196 divided by 87 (Using long division)

How many ounces of a 28% alcohol solution and a 40% alcohol solution must be combined to obtain 51 ounces of a 32% solution?

Answers

Answer:

Number of ounces of 28% alcohol = x = 34 ounces

Number of ounces of 40% alcohol = y = 17 ounces

Step-by-step explanation:

Let us represent the

Number of ounces of 28% alcohol = x

Number of ounces of 40% alcohol = y

Our system of equations =

x + y = 51 ..... Equation 1

x = 51 - y

28% × x + 40% × y = 32% × 51

0.28x + 0.4y = 16.32......Equation 2

We substitute 51 - y for x

0.28(51 - y) + 0.4y = 16.32

14.28 - 0.28y + 0.4y = 16.32

- 0.28y + 0.4y = 16.32 - 14.28

0.12y = 2.04

y = 2.04/0.12

y = 17

Solving for x

x = 51 - y

x = 51 - 17

x = 34

Therefore,

Number of ounces of 28% alcohol = x = 34 ounces

Number of ounces of 40% alcohol = y = 17 ounces

Find the distance between (–2, –3) and (–6, –12). Round the answer to the nearest hundredth, if necessary.
a.
9.85 units
c.
13 units
b.
7.26 units
d.
17.49 units

Answers

Answer:

A. 9.85 units

Step-by-step explanation:

The angle measurements in the diagram are represented by the following expression

Answers

Answer:

A=B(alternate angle r equal)8x-10=3x+908x-3x=90+105x=100x=100/5x=20

hope it helps.

Can someone help me out my grade are bad

Answers

Answer:

i think you plot point -13

Step-by-step explanation:

let me know if this is incorrect

Do this pls 35 points

Answers

Answer:

x = 68

Step-by-step explanation:

If you look at the triangle properly, it is a isosceles triangle where two legs are equal to each other.

The answer for x will be:

56 + 56 + x =180

112 + x = 180

x = 68

Delaney bought a crate for her puppy when it was 3 months old. The crate is in the shape of a rectangular prism. Since the puppy is getting bigger, Delaney wants to purchase a bigger crate. She decided that the dimensions of the new crate needs to be increased by 40% of the original length. Find the missing percentage.

The volume of the new crate is exactly _________% of the old crate.

Answers

Answer:

volume of the crate =40%

Step-by-step explanation:

volume of the crate =

using formula

L×B×H× dat_3

40 ×3=120

divide it by 3 month.therfore the volume°40

The price of a notebook has risen to $3.80 today. Yesterday's price was $3.30 . Find the percentage increase. Round your answer to the nearest tenth of a percent.

Answers

The percentage increase in the price of the notebook is 15%.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100.

The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Finding the increase in the price of the notebook:

$3.80 - $3.30 = $0.50

Dividing the increase by the original amount:

0.50 / 3.30 = 0.1515

To change to a percent multiply by 100 and round off to significant numbers:

0.1515 *100 = 15.15% or, 15%.

Thus, the percentage increase in the price of the notebook is 15%.

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Out of 32 student, 18 voted for Christian as president of the students council. If there are 224 students how many students voted for Christian

Answers

Answer:

126

Step-by-step explanation

Find the areahythetyhyth6jh6jh6u

Answers

Answer:

         27 m²

Step-by-step explanation:

[tex]A=\frac12\cdot6\,m\cdot9\,m=3\,m\cdot9\,m = 27\ m^2[/tex]

which equation has two real solutions?
a. x^2=-100
b. 5x^2=1
c. 6x^+17=11
d. 7(x^2+6)=42

Answers

Answer:

b

Step-by-step explanation:

5x^2 =1

x^2=1/5

x= root 1/5

x= -root5/5    x=root5/5

Answer:

[tex]B) 5x^2=1[/tex]

Step-by-step explanation:

Option B has two real solutions.

hope it helps...

You lend out S5500 at 10% compounded monthly. If the debt is repaid in 18 months, what is the total owed at the time of repayment?

Answers

Answer:

$6386.1140

Step-by-step explanation:

Using the compound interest formula :

A = P(1 + r/n) ^nt

P 5500 ; rate, r = 10% = 0.10 ; t = 18 months = 18/12 = 1.5 years,

Compounding times per period = 12 (monthly)

A = 5500(1 + 0.1/12)^12*1.5

A = 5500(1 + 0.0083333)^18

A = 5500(1.0083333)^18

A = 5500 * 1.1611116

A = 6386.1140

Hence, amount to be repaid = $6386.1140

Help me ASAP!!
Which answer is the best estimate of the correlation coefficient for the variables in the scatter plot?
A. -0.95
B. -0.5
C. 0.5
D. 0.95

Answers

Answer:

b

Step-by-step explanation:

There is not a strong relationship between the points making the number 0.5 and it is going down so it is negative

Answer:

−0.5

Step-by-step explanation:

any and all help is appreciated, brainliest will be given ! :)​

Answers

Answer:

x = 16±2√94 over 3

Step-by-step explanation:

Move terms to the left side.

0 = -6x² + 64x + 80

- ( -6x²+64+80) = 0

Distribute

- ( - 6x²+64x+80) = 0

6x² - 64x - 80 = 0

Common factor

6x² - 64x - 80 = 0

2 (3x²-32x--40) = 0

Divide both sides by the same factor

2 (3x²-32x--40) = 0

3x² - 32x - 40 = 0

Use the quadratic formula (Not explainin this, I forgot this one.)

Simplify

1.Evaluate the exponet

2.Mulitply the numbers

3.Add the numbers

4.Evaluate the sqaure root

5.Mulitply the numbers(Do this 2 more times.)

x = 32±4√94 over 6

Separate the equations

to solve for the unknown varible, separate into two eqautions: one with a plus and another with a minus.

Solve

Rearrange and isolate the varible to find each solution.

7x-2y=10 slope intercept form

Answers

Answer:

7/2

Step-by-step explanation:

7x – 2y = 10

using ( y = mx + b) as our guideline

where m is the slope

7x – 2y = 10

subtract 7x from both sides

7x – 7x – 2y = 10 – 7x

–2y = 10x – 7x

when arranged in slope form

–2y = –7x + 10

divide both sides by (–2) to get y

[tex] \frac{ \\ - 2y}{ - 2} = \frac{ - 7x}{ - 2} + \frac{10}{ - 2} [/tex]

[tex]y = \frac{ \\ 7y}{2} - 5[/tex]

[tex]the \: slope \: will \: be \: \frac{ \\ 7}{2} [/tex]

This is our answer.

i hope i

HELP ASAPPP PLEASEEEEEEEE...
NO FAKE ANSWERS OR LINK​

Answers

Answer:

B is the correct answer

Step-by-step explanation:

AND NO CHEATING v-v

,’l

What is the slope of the line?

Answers

Answer:

1/2

Step-by-step explanation:

Using rise over run, you get 1/2. Hope this helps :), if you need the slope-intercept equation (y=mx+b), it's y=1/2x+0

Here are the 3 questions

What is the length of AB?
What is the length of DE?
Are the circles congruent?

Thanks and please hurry!

Answers

Answer:

The length of AB is 4 and the length of DE is also 4. Yes, the circles are congruent.

simplify ........ (256y²⁵⁶) ⅛
help asap!!!!!​

Answers

Answer:

2y^32

Step-by-step explanation:

Since 2^8 = 256, the eighth root of 256 is 2.

Next, we find the power of y by multiplying 256 and 1/8:  result is 32.

Complete answer:  2y^32

what is the probability of drawing a even numbered card, keeping it, and then drawing another even numbered card from a stack of 24 cards numbered 1-24

A. 1/23
B. 2/23
C. 1/12
D. 1/11
E. 11/46

Answers

Answer:

it is a

Step-by-step explanation:

because you already pulled one card so there are less cards

can i have brainly

Please help no links please!!!!!

Answers

The first one is 200 cause 360-160=200 cause it is the arc

Evaluate 8/9 power of 2 as a fraction in simplest form

Answers

Answer:

64/81 or, 0.790123456 repeating

Step-by-step explanation:

use the properties of exponents to get 8^2/9^2 and then evaluate to get the answer.

help im tryna get my grades uppp

Answers

Answer:

1) 1.4

2) 1.53

3) 9.48

4) 12.13

5) 19.82

6) 29.70

Step-by-step explanation:

You first must turn all mixed fractions into simple fractions.

Then, find the least common denominator for each problem.

Create fractions with the same denominator.

In your answer, divide the numerator by the denominator.

help math 20 points plz help help ​

Answers

Answer:

first number: x axis

second number: y axis

a line or point can be formed? (not sure what your options are)

Answer:

Dude this is so easy

The answer for the fill in the blank is x the answer to second fill in the blank is y the last answer is a rectangle.

I can't help you with the coordinate plane it hard to see and can't interact with it but add me on discord and I will tell you its Darknight #9527

Step-by-step explanation:

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