what is the long leg of a 30 60 90 triangle when the hypothesis is 8 root 6

Answers

Answer 1
I will call the short side s and the hypotenuse h.

The sine rule states that in any triangle, the length of any side divided by the sine of the opposite angle is a constant.

So for your triangle we have:

8/sin 60° = s/sin 30° = h/sin 90°

8/[(sqrt 3)/2] = s/(1/2) = h/1

16/sqrt 3 = 2s = h

So the length of the short leg s

= 8/sqrt 3 = approx. 4.619

and the length of the hypotenuse

= 16/sqrt 3 = approx. 9.238.

Related Questions

3. Miley bought 4 oranges, 3 apples and 7 pears. What is the ratio
of pears to total pieces of fruit?

Answers

7:14 or simplified 1:2 (use simplified)
Find total amount of fruit by adding
4+7+3=14
7 pears to 14 total fruits in ratio form is 7:14 which simplifies to 1:2

Marcus rode his bike 60 miles in 4 hours. Marcus thinks that in order to find the unit rate, he should determine how far he rode his bike in 2 hour(s). Is Marcus correct?

Answers

Answer:

No, he is not correct

Step-by-step explanation:

To find the unit rate you need to .60 by 4. you will get 2.4, which is the

unit rate. he rides his bike 2.4 mph.

Which property will we need to use to solve the equation?

x - 10 = 5

Answers

Answer:

Addition Property of Equality

Step-by-step explanation:

To solve this equation, we need to use the Addition Property of Equality because we need to add 10 to both sides to isolate x...

x-10=5

x-10+10=5+10

x=15

What is the quotient of 362 divided by 13 with a remainder?

Answers

Answer: 27 Remainder 11

Step-by-step explanation: hope this helps you

Each letter in the word massachusetts is written on card the cards are placed in a basket,what is the probability of selecting two s's if the first card is replaced before selecting the second card

Answers

Answer:

There ya go

Step-by-step explanation:

Hope this helped!

This is the same dilation that you used in Question 3.
What scale factor was used to create the dilated Triangle M'S'V'?
In your answer, give the scale factor that was used and explain how you
calculated it.

Answers

Answer:

k = 2/3

Step-by-step explanation:

Find the length of two corresponding sides.

MS = 6 - (-3) = 9 unitsM'S' = 4 - (-2) = 6 units

The scale factor is the ratio of corresponding sides:

k = M'S'/MS = 6/9 = 2/3

Answer:

k = 2/3

Step-by-step explanation:

if you dig a hole 12ft deep and 6ft wide, how much dirt is in the hole?

Answers

72, im pretty sure this is right because the area would be 72. 12x6.

Fill in the blank with the correct response.
5% of 80 is _______?

Answers

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Write 5% as

5/100

Since, finding the fraction of a number is same as multiplying the fraction with the number, we have

5/100 of 80 = 5/100× 80

Therefore, the answer is 4

If you are using a calculator, simply enter 5÷100×80 which will give you 4 as the answer.

Graph the following points on the coordinate plane. x −2 ​−1​ 0 1 2 y ​8​ ​5​ 2 ​−1​ ​−4​

Answers

Answer:

To find points on the line y = mx + b,

choose x and solve the equation for y, or.

choose y and solve for x.

Step-by-step explanation:

hope it helps you

mark me as branliest

Consider the equation 0. 2(x – 4. 5) 1. 7 = 9. 6. 1. Use the distribution property. 2. Combine like terms. 3. Use the properties of equality and inverse operations to isolate the variable. 0. 2x (-0. 9) 1. 7 = 9. 6 0. 2x 0. 8 = 9. 6 x =.

Answers

Answer:  9=6x

Step-by-step explanation:

add 4x to both sides to isolate the variable term

is 11/-3 positive or negative How do you know?

Answers

Answer:

positive

Step-by-step explanation:

because it is more than zero

Use an array or an area model to illustrate how to solve this equation.Then, explain each part of the equation 29 x 30 =............
NEED HLEP ASSAPPP!!! I'm in fourth grade and i don't understandddd

Answers

Answer:

[tex]29 \times 30 = 870[/tex]

29*30=00+870=870

i think its C or D im confused

Answers

Answer:

Yeah it is D you are correct but not C

[tex] \leadsto f( \rm x) = - {x}^{2} - 6x + 16[/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto f( \rm x) = - {x}^{2} - 8x +6x + 16[/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto f( \rm x) = - {x}(x + 8) +2(3x +8) \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto f( \rm x) = {( - x + 2)}(x + 8) \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto f( \rm x) = - {(x + 8)(x + 2)} \\ [/tex]

Find the measure of ∠CBE: A line containing points A, B, and E intersects with a line containing points C, B, and D at point B. Angle ABD is 30 degrees: A. 30° B. 60° C. 90° D. 150°

Answers

Answer:

the answer is always c trusttt

How can credit cards be safer than cash? a. It is harder to lose a single credit card than a large number of bills. B. A credit card requires a signature, so it is impossible for anyone other than you to use. C. If a merchant does not hold up their end of an agreement, you can call the credit company and dispute the charges. D. Cash can be miscounted, but credit cards cannot. Please select the best answer from the choices provided A B C D.

Answers

Answer:

✅ C. If a merchant does not hold up their end of an agreement, you can call the credit company and dispute the charges.

i got it correct ⬇️

Credit cards are safer than cash, C. If a merchant does not hold up their end of an agreement, you can call the credit company and dispute the charges.

What is a credit card?

A credit card is a small, rectangular piece of plastic or metal that is issued by a bank or other financial institution and enables its holder to borrow money to pay for products and services at businesses that accept credit cards.

Credit cards impose the need that cardholders repay the borrowed funds, plus any applicable interest and any other agreed-upon charges, in full or over time, either by the billing date or at a later date.

Now, Credit cards are more safer than cash because A credit card requires a signature, so it is impossible for anyone other than you to use them.

But, A statement more convenient than this is,

If a merchant does not hold up their end of an agreement, you can call the credit company and dispute the charges.

learn more about credit cards here :

https://brainly.com/question/27350251

#SPJ7

find the value of 50% of 60

Answers

Answer:

30

Step-by-step explanation:

50% = 1/2

so 60/1 * 1/2

30 or

60 * 1/2

Find the value of x in the figure.​

Answers

Answer:

145

Step-by-step explanation:

Write the point slope form of the equation of the line through the given points : (-4,-1) and (-3,1)


PLEASE EXPLAIN. (STEP BY STEP)

Answers

Answer:

Slope (m)= 4/3

Step-by-step explanation:

y2-y1/x2-x1

m=y2−y1x2−x1

m=1−−3/−1−−4

m=4/3

WILL MAEK BRAINLIST
A shop has 20 pens. 12 of them are red. What percent of them are red?

Answers

Answer:

12/20×100percent

=12×5percent

=60percent answer

I don't understand this at all

Answers

Pretty sure what the question means idrk sorry

Slope= 2 y-intercept=3. Write in point slope form

Answers

Answer:

Y-3=2(x-0)

Step-by-step explanation:

To find our answer, we have to use point slope form

Point slope form looks like this:

Y-y1=m(x-x1)

When we fill these things in we get,

Y-3=2(x-0)

Hope this helps and please award brainliest

Answer:

y-3 = 2(x-0)

Step-by-step explanation:

Could you help, please? :)

Answers

Answer:The first one, the second one, the fourth one, then the third one

Step-by-step explanation:

Answer:

Original options: -2 2/3 --> -2.43 --> 2.045 --> 2 5/9

Step-by-step explanation:

It will help to make all of the numbers the same, into all fractions or all decimals, so you can compare them easier. I will make them decimals.

-2 2/3 --> -2.6666... (the 6s don't end)

-2.43

2 5/9 --> 2.5555... (the 5s don't end)

2.045

You can easily split the options in half, as the top two are both negative and the bottom two are positive. So you have to figure it out amongst the two groups.

From least to greatest: -2.666 --> -2.43 --> 2.045 --> 2.555

Original options: -2 2/3 --> -2.43 --> 2.045 --> 2 5/9

A scientist had 3/4 L of solution use 1/6 of solution for an experiment how much solution did the scientist use for the experimen

Answers

Answer:

  1/8 L

Step-by-step explanation:

In this context, "of" means "times."

  1/6 of (3/4 L) = (1/6) × (3/4 L) = 3/24 L = 1/8 L

The scientist used 1/8 L of solution for the experiment.

Simplify this expression
10a + 6x-2a-3x

Answers

Answer:

[tex]3x+8a[/tex]

Step-by-step explanation:

Given the following question:

[tex]10a+6x-2a-3x[/tex]

In order to find the answer, we combine like terms and then simplify.

[tex]10a+6x-2a-3x[/tex]
[tex]=6x-3x+10a-2a[/tex]
[tex]6x-3x=3x[/tex]
[tex]10a-2a=8a[/tex]
[tex]=3x+8a[/tex]
[tex]3x+8a[/tex]

Hope this helps.

Q11. Helen invested £6000 for n years in a savings account. She got 3% compound interest each year. At the end of n years Helen had £7379.24 in her savings account. Work out the value of n. You must show your working.​

Answers

Answer: 100/103, 184481/150000

Step-by-step explanation:

Find the greatest common factor.

36, 60, 120, 679

Answers

Answer:

GCF = 1

Step-by-step explanation:

Prime factors of 36 are 2,2,3,3

The prime factors of 60 are 2, 2, 3 and 5.

The prime factors of 120 are 2, 2, 2, 3 and 5.

The prime factors of 679 are 7 and 97.

Since there are no common prime factors, the GCF is 1.

A country has a national debt of $6 x 10^2. If the population of the country is 300 million people, how much will it be for every man, woman, and child in the country?

Answers

Answer:

$20000

Step-by-step explanation:

6*10^12/ 300 million

Evaluate 65 - 3 x [ ( 28 - 8 ) / ( 24 / 6 ) ]

Answers

Answer:

65 − 15x

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

65 - 3 × [ ( 28 - 8 ) / ( 24 / 6 ) ] = 65 - 3 × (20/4) = 65 - 3 × 5 = 65 - 15 = 50

Choose the expression that represents "the
product of a number and five is two less than the
number."
x/5 = 2-X
5x = 2 x
5x = x-2
x/5 = X-2

Answers

Answer:

5x = x - 2

Step-by-step explanation:

"And" means to multiply, so 5 × (x)

two less than a number is "X - 2"

I hope this helps!

a) Write down the mathematical name of this shape.
Ps. It’s not quadrilateral already tried that

Answers

Answer:

right trapezoid

Step-by-step explanation:

It is a quadrilateral, but it's a special type called a right trapezoid (or trapezium, depending what country you are from).

The definition of a right trapezoid is a quadrilateral (4 sided shaped) with 2 parallel sides and 2 adjacent right angles.

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