. In a 30°-60°-90° triangle, the length of the hypotenuse is 12 inches. What is the length, in inches, of the side opposite the 60° angle?

Answers

Answer 1
The sides of a 30-60-90 triangle are always in the ratio 1:√3:2, respectively.

The side opposite the 90° is 12 inches, so the side opposite the 30° angle is 6 inches, and the side opposite the 60° angle is 6√3 inches.

Related Questions

The image of the point (6, 6) under a translation is (5,2). Find the coordinates of
the image of the point (0, 2) under the same translation.

Answers

9514 1404 393

Answer:

  (-1, -2)

Step-by-step explanation:

The difference between the coordinates of the image and the coordinates of the original is the same for both points.

  X - (0, 2) = (5, 2) -(6, 6)

  X = (5, 2) -(6, 6) +(0, 2) = (5-6+0, 2-6+2)

  X = (-1, -2)

The image of the point after translation is (-1, -2).

What's the area of the trapezoid?

Answers

Answer:

Mark brainliest please if i am correct one more brainliest please

Step-by-step explanation:

A=a+b

2h=15+25

2·5=100

Answer:

51.2

Step-by-step explanation:

plz mark me as brainliest

Akili has two tests next week. The probability that he will pass the first test, science, is 3 4 . How he does on that test affects how he will do on his math test. If he passes science, then the probability that he will also pass the math test is 4 5 ; otherwise, the probability is only 1 3 that he will pass the math test. What is the probability he passes exactly one test

Answers

Answer:

0.2333 = 23.33% probability he passes exactly one test

Step-by-step explanation:

We have these following probabilities:

3/4 probability that he passes the first test.

If he passes the first test, 4/5 probability that he passes the math test.

If he does not pass the first test, 1/3 probability that he passes the math test.

What is the probability he passes exactly one test

Two scenarios:

Pass first(3/4 probability) and fails second(1/5 probability).

Fails first(1/4 probability) and passes second(1/3 probability). So

[tex]p = \frac{3}{4}*\frac{1}{5} + \frac{1}{4}*\frac{1}{3} = \frac{3}{20} + \frac{1}{12} = \frac{9 + 5}{60} = \frac{14}{60} = 0.2333[/tex]

0.2333 = 23.33% probability he passes exactly one test

What are the solutions to the equation x2-12x + 20 = –20?

Answers

x = 2, 10

Solve value of x by factoring, getting

(x - 2)(x - 10) = 0

After a discount of 30%, the sale price of a ride
pass at a fun park is $35. What was the original
price?

Answers

Answer:

Step-by-step explanation:

Its simple really, its 45.5

Since its a mark down and you want to find the original number, you have to multiply 35 by 1.3

35 x 1.3 = 45.5

Which then gives you 45.5

if you were to roll two standard six-sided dice, what is the probability that both land on a 3 or greater

Answers

Answer:

4/9

Step-by-step explanation:

P(≥3 and ≥3) = 4/6 x 4/6 = 4/9

Perform the
ect
1. Find the sum of 5x + 20 and the
opposite of 20.
Find the sum of 5x +20 and the opposite of 20

Answers

Answer:

[tex]Sum = 5x[/tex]

Step-by-step explanation:

Given

1: 5x + 20

2: Opposite of 20

Required

Find their sum

Suppose that a is a number; The opposite of a is -a. So, the opposite of 20 is -20.

Having said that:

The required sum is:

[tex]Sum = 5x + 20 + (-20)[/tex]

Remove bracket

[tex]Sum = 5x + 20 -20[/tex]

[tex]Sum = 5x[/tex]

Sue has 100 dimes and quarters. If the total value of the coins is $21.40, how many of each kind
of coin does she have?

Answers

24 dimes and 76 quarters lol

Determine whether the given value is a solution of the equation. Show your work.

21 = x − 5; x = 16

Answers

Step-by-step explanation:

No Not an answer

21=x-5

x=26

204 students went on a field trip. Four buses were filled and 8 students traveled in cars. How many students were on each bus?

Answers

Answer:

49

Step-by-step explanation:

204-8=196 in buses

each bus= 196÷4=49

Answer: 26


204 divided by 8=equals 25.5 so round to 26

7. Use substitution. What is the solution
to the system of equations? Explain.
This is the question and equation please helpppppp

Answers

12(1/4x + 4) - 48 = 3x
3x + 48 - 48 = 3x
x = 0

y = 1/4(0) + 4
y = 4
1) solve y
y= x/4+4
2) substitute- y=x/4+4 into y-48=3x
3x=3x

Hope this helps, and I hope you get your marks :)

what percent of 467.00 80%​

Answers

Answer:

80% of 467 is 373.6

Step-by-step explanation:

Answer:

I beleive the answer to your question is 373.6.

Step-by-step explanation:

80% of 467 is 373.6. Or your answer is 93.4. because 373.6 minus 467 is 93.4

Help please

What is the value of b?

Answers

Answer:

3[tex]\sqrt{13}[/tex]

Step-by-step explanation:

Find 'c' first by using the Altitutude Rule:

4/c = c/9

cross-multiply to get:

c = [tex]\sqrt{36}[/tex] or 6

Now you can find 'a' by using the Pythagorean Theorem:

4² + 6² = a²

a = [tex]\sqrt{52}[/tex]

Now you can find 'b' by using the Pythagorean Theorem:

([tex]\sqrt{52}[/tex])² + b² = (9+4)²

52 + b² = 169

b² = [tex]\sqrt{117}[/tex]

b = [tex]\sqrt{117}[/tex] = [tex]\sqrt{3}[/tex][tex]\sqrt{3}[/tex][tex]\sqrt{13}[/tex]

b = 3[tex]\sqrt{13}[/tex]

What is the total area? Use 3 for Pi.
Answer fast pls!! xx

Answers

Answer:

1318.8

Step-by-step explanation:

i got this

28 x 15=420

420 x 3.14= 1318.8

Answer:

243.37 in^2

Step-by-step explanation:

large rectangle=28x15=420  (now we need to deduct the circular areas)

circular area =7.5^2(3.14)=176.63  (radius^2xPi)   (this is for a full circle which accounts for the two semi circles)

420-176.63=243.37

Help ASAP NEED HELP

Answers

Answer:

Its C

Step-by-step explanation:

first you would do the square which would be 3x3 which is 9 next you would do the rectangle which is 9x3 which is 27

9+27=36

Solve for x.
x² = 9

x=±3

x=±4.5

x=±18

x=±81

Answers

I pretty sure x equals 3

As part of an economics class project, students were asked to randomly select 500 New York Stock Exchange (NYSE) stocks from the Wall Street Journal. As part of the project, students were asked to summarize the current prices (also referred to as the closing price of the stock for a particular trading date) of the collected stocks using graphical and numerical techniques. Identify the sample of interest for this study. Group of answer choices

Answers

Answer: The 500 NYSE stocks that current prices were collected from

Step-by-step explanation:

The sample of interest simply means a representation of the population. With regards to the information given pertaining to the question, the sample of interest will be "The 500 NYSE stocks that current prices were collected from".

The 500 NYSE stocks represents the total NYSE stocks that are available.

HELP I WILL GIVE BRAINLYEST TO WHOEVER GETS IT RIGHT PPPPPPPPLLLLLLLLEEEEEEEEESSSSSSSSEEEEEEEEE

Answers

Answer:

3/8

Step-by-step explanation:

Answer:3/4 pretty sure

Step-by-step explanation:

I do not know but  that would be my answer

What is the total area? Use 3 for Pi.
answer fast pls! xx

Answers

Answer:

146.3m²

Step-by-step explanation:

area of quarter circle=1/4π×8²

=50.3m²

area of the square=s²

8×8=64m²

area of the triangle=1/2bh

1/2×8×8=32m²

total area=50.3+64+32=146.3m²

How tall are you in centimeters (1 inches =2.54)

Answers

Answer:

Im about 178 centimeters

Step-by-step explanation:

i’m stuck please help me

Answers

don’t have a calculator but it’s 6.75 times 3

HELP ASAP!! What is angle 1 called??

Answers

Your right it’s an obtuse angle

Simply the problem

(4×10⁵)(8.03×10-³) ​

Answers

Answer:

would be 32120000 or alternative form 3.212x10 and a 7 on top.

Step-by-step explanation:

-X – 3, solve for a when g(x) = 6.
PLSSS

Answers

the answer is -9 when g(x) is 6

The diagram represents a 12 cm by 4 cm rectangle.

12 cm

4 cm

Calculate the area of the rectangle, giving the units of your answer.​

Answers

The formula for calculating the area of a rectangle is:

A = tw

So therefore:

A = (12)(4)

Area = 48 cm squared.

help please and thank youu

Answers

Answer:

c

Step-by-step explanation:

number number number number

4-(-5)
Integer Rules

Answers

Step-by-step explanation:

4-(-5)

= 4+5

= 9

............

Si un rectángulo con perímetro de 74 pulgadas tiene un largo de 5 pies más que el ancho,
¿cuáles son las dimensiones?

Answers

Perímetro del rectángulo = 74 pulgadas

Deje que el ancho del rectángulo sea 'x'.

Entonces, la longitud de este rectángulo = x + 5

We know that :

[tex]\color{hotpink}\tt \: Perímetro \: del \: rectángulo =\color{plum} 2 × (l + b) [/tex]

Lo que significa :

[tex] =\tt 2(x + x + 5) = 74[/tex]

[tex] =\tt 2(2x + 5) = 74[/tex]

[tex] =\tt 4x +10 = 74 [/tex]

[tex] =\tt 4x = 74 - 10[/tex]

[tex] =\tt 4x = 64[/tex]

[tex] =\tt x = \frac{64}{4} [/tex]

[tex]\color{plum} =\tt x = 16[/tex]

Por lo tanto, el ancho de este rectángulo = 16 pulgadas

Entonces, la longitud de este rectángulo :

[tex] =\tt x + 5[/tex]

[tex] = \tt16 + 5[/tex]

[tex]\color{plum} =\tt 21 \: pulgadas[/tex]

La longitud de este rectángulo = 21 pulgadas

Por lo tanto :

● Longitud del rectángulo = 21 pulgadas

● Ancho del rectángulo = 16 pulgadas

3x+2x-13=47 solve for x

Please show the work

Answers

3x+2x-13=47
5x-13=47
5x=60
x=12

118.4 divided by 6.4 = ?
EXPLAIN YOUR ANSWER

Answers

Answer:

18.5

Step-by-step explanation:

to do this question you need to move the decimals. When your denominator has a decimal in it, you need to get rid of it. in order to do that, you have to move the decimal on both numbers so the numbers being divided would be 1184/64. Just divide from there

The division of the given numbers results as 19.

What is a Decimal number?

A decimal number is the representation of a number in whole and a part. The whole is represented by an integer while the part is equivalent to a number divided by the order of 10.

The given expression is 118.4 ÷ 6.4.

The division can be done step by step as follows,

Step 1:

Both the decimal numbers have only one digit after the decimal.

Thus, both can be multiplied by 10 to remove the decimal as follows,

118.4/6.4 = (118.4 × 10)/(6.4 × 10)

              = 1184/64

Now, the equivalent expression becomes as 1184 ÷ 64.

Step 2:

Divide 1184 and 64 with their largest common factor as follows,

(1184 ÷ 16)/(64 ÷ 16) = 76/4

Step 3:

Again divide 76 and 4 to get 19 as follows,

76/4 = 19

Hence, the given expression can be simplified to give 19 as the result.

To know more about decimal number click on,

brainly.com/question/4708407

#SPJ2

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