The longer leg of a 30°-60°-90° triangle measures
[tex]8 \sqrt{3} [/tex]
inches. What is the length of the shorter leg?​

Answers

Answer 1

Answer:

Length of shorter leg is 8 inches

Step-by-step explanation:

Here, we want to calculate the length of the shorter leg of a 30-60-90 triangle

In a 30-60-90 triangle, the sides are in the ratio;

1: √3 : 2

So the ratio of the length of the shorter and longer leg is;

1 : √3

So in this case let the shorter leg be x

x/8 √3 = 1/√3

8 √3 * 1 = √3 * x

x = 8 √3/√3

x = 8 inches


Related Questions

Pls answer!!
x - y = 5
4x + y = 10

What could x and y equal

Answers

Answer:

I: Slope = 1

x= 5/1 or 5.00000

y= 5/-1 0r 5.00000

2: Slope = -8.000/2.000 or 4.000

x= 5/2 or 2.50000

y= 10/1 or 10.00000

Step-by-step explanation:

The decimal answers are the fraction in decimal form

The Jayden family eats at a restaurant that is having a 15% discount promotion. Their
meal costs $78.28 before the discount, and they leave a 20% tip. If the tip applies to
the cost of the meal before the discount, what is the total cost of the meal? Round
your intermediate calculations and answer to the nearest cent.

Answers

$82.58 hope this helped(:

Find the perimeter of a square garden if it’s area is 1369m2?

Answers

Answer:

Step-by-step explanation:

The area formula for a square is

[tex]A=s^2[/tex] where A is the area and s is a side measure. In a square, this side measure is the same (because all 4 sides in a square are the same). Therefore, our formula becomes:

[tex]1369=s^2[/tex]

Take the square root of both sides to find that a side measures 37 m.

The perimeter of a square is to add all 4 sides together (or to multiply the one side by 4):

4 * 37 = 148 m

Is there anybody from the online schooling called BUZZ? that can help me out at all?
Have a great day! Merry Christmas! <3

Answers

No, sorry about that.

Olivia baked 45 mini-loaves of banana bread to be sliced for snacks at a craft fair. She will place an equal number of loaves in 6 different locations. What if Olivia wants to put only whole loaves at each location? How many loaves will be at each location?

Answers

Answer:

7 whole loaves of bread.

Step-by-step explanation:

Since there are total of 6 locations and each location needs to have the same number of whole loaves of bread we simply need to divide the number of mini-loaves of banana bread by the number of locations like so...

45 / 6 = 7.5

As we can see by the mathematical expression above 45 loaves of bread can be divided into 6, giving each location 7.5 loaves of bread but since each location needs only whole loaves then that would mean that each location would get 7 whole loaves of bread.

what’s the quotent of -3/8 and -1/4

Answers

Answer:

1.5

Step-by-step explanation:

-3/8=-0.375

-1/4=-0.25

the negatives cancel each other out so it is 0.375/0.25

.25 goes into .375  1.5 times, so the answer is 1.5

Have a good day!

1.5

It needs to be 20 characters long so I’m just putting this so I can actually submit. The other guy already out the explanation so I’m proud of you and just tryna get points. Anyways the calculator is always available too if you need it

what is 2.98989 as a fraction

Answers

Answer:

2.98989/1

Step-by-step explanation:

Given the graphs of f(x) =x -7 and g(x) =-5x-1, what is the solution to the equation f() = g(x)?

Answers

Answer:

1

Step-by-step explanation:

x-7=-5x-1

x-(-5x)-7=-1

x+5x-7=-1

6x-7=-1

6x=-1+7

6x=6

x=6/6

x=1

sum of the series:
13, 16, 19, ..., 301
how many numbers are in this series?

Answers

Answer:

97

Step-by-step explanation:

13,16,19,...,301

a=13

d=16-13=3

l=a+(n-1)d

301=13+(n-1)3

301-13=(n-1)3

(n-1)3=288

n-1=288/3=96

n=96+1=97

Answer:

92

Step-by-step explanation:

9. For the points A(5,0) and B(7,3), calculate the angle between AB
and the x-axis.

Answers

Answer:

Trigonometry question: For the point A (5; 0) and B (7;3) calculate the angle between AB and the x-axis. The answer given in the book is as follows:56.3 degrees.

a meteor train in Delhi carried 4865 passengers in 16 trips.Each trip had an equal number is passengers how many passengers travelled on each trip

Answers

Answer:

304

Step-by-step explanation:

4865/16 = 304.0625 or about 304

I have to round it since you can't bring part of a student in a trip lol.

Ace Carlos

A line with a positive slope is parallrl to one of the lines shown. What is its slope? Use the graph shown below. The slope is:

Answers

Answer:

the slope of the blue  line is 2/3

Step-by-step explanation:

y2-y1 over x2-x1

6,5 and we have 0,1

5-1/6-0

4/6=2/3

Please Help Me
SIMPLIFY

Answers

Answer:

x+7/x+6

Step-by-step explanation:

What determines the pitch of a sound? PLEASE HELP MEH!!

the decibel level
the frequency of vibrations
the amplitude
the medium

Answers

Answer:

Since pitch is such a close proxy for frequency, it is almost entirely determined by how quickly the sound wave is making the air vibrate and has almost nothing to do with the intensity, or amplitude, of the wave. That is, "high" pitch means very rapid oscillation, and "low" pitch corresponds to slower oscillation.

Step-by-step explanation:

please mark me as brainliest thank you

Andrew purchased a coat for $50.00 on sale for 25% off. What was the cost of the coat after the discount not including tax?

Answers

Answer:

$ 37.50

Step-by-step explanation:

100% - 25% = 75%

75% = 0.75

50 × 0.75 = $ 37.50

A telephone company offers two different types of billing. The first choice is to pay $10.00 per month plus $0.09 per MB of data. The second choice is to pay $16.00 per month plus $0.07 per MB of data.

How many MB of data would you have to use in one month in order for both plans to cost the same amount? Explain how you determined your answer.

Answers

Answer:

0.09x +10 is the first choice

0.07x +16 is the second choice (set the two data plans equal to each other)

0.09x +10 = 0.07x +16  (subtract 0.07x from both sides)

0.02x +10 = 16 (subtract 10 from both sides)

0.02x = 6  (divide both sides b 0.02 to isolate x)

x= 300 MB of data (the answer)

Step-by-step explanation:

I hope this helps :))

Given f(x)=7x+12 and Domain={3,6,9} find Range
{21,42,63}
{9,6,3}
{33,54,75}
{19,26,33}

Answers

Answer:

the answer is the 3rd option

range = { 33, 54, 75 }

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

1/10 10% of 1

Step-by-step explanation:

3/4 0.75

0.2 20% of 1

15/10 150% of 1

14/10 1.4

Fraction: 1/10, 3/4, 3/2, 4/5

Decimal: 0.75, 0.2, 1.4

Percentage: 10%, 20%, 150%

(The answer is in the same order as the column, I did not include the boxes that were already filled in)

find perimeter of semicircle if radius is 22 cm​

Answers

The perimeter of a circle is equal to 2πR where R is the radius if we want the perimeter of the semicircle we divide by 2 and we get

P=πR=22π=22*3.14=69.08cm

What is the derivative of f(x) = 9x^2 + x?

Answers

Answer:

f'(x) = 18x + 1

Step-by-step explanation:

f(x) = 9x^2 +x

f'(x) = 9(2x) + 1

f'(x) = 18x + 1

On Saturday, Alicia ran 2 miles. This was 0.3 miles farther than Henry ran. Write and solve an
an addition equation to find out how many miles Henry ran.

Answers

Answer: a - 0.3.

Step-by-step explanation;

Let a represent the number of miles that Alicia ran. The equation will be this: a - 0.3. You will subtract 0.3 from the number of miles that Alicia ran because her amount is 0.3 miles farther than what Henry ran.

Given y+6=10(x-9) What is the point used to write the equation?

Answers

Answer:

Point (9, -6)

General Formulas and Concepts:

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)  

x₁ - x coordinate y₁ - y coordinate m - slope

Step-by-step explanation:

Step 1: Define

y + 6 = 10(x - 9)

Step 2: Break Function

Identify Parts

Slope m = 10

Point (9, -6)

Here is a list of ingredients for making 12 small cakes. 108 g margarine 180 g sugar 200 g plain flour 1 teaspoon baking powder 2 eggs. Joe is going to make 24 of the small cakes. Determine how much margarine he will need. Write your answer in a complete sentence.

Answers

Answer:

216g of margarine

Step-by-step explanation:

From the above question:

12 small cakes required 108g of margarine

If he would be making 24 of the small cakes, hence, that would be calculated as:

12 small cakes = 108g of margarine

24 small cakes = x

Cross Multiply

12 × x = 24 × 108g

x = 24 × 108g/12

x = 216g of margarine

Therefore, he would need 216g of margarine to make 24 of small cakes

Every Friday for 6 weeks, Jason withdrew $20 from his savings account. How much did he withdraw in all?

Answers

Answer:

just do 6 x 20 its a simple goog le search bro

Step-by-step explanation:

Answer:

$120

Step-by-step explanation:

Friday happens once every week, so he makes a withdrawal once every week. so if he withdraws $20 each week for six weeks, that is 6(20), which equals 120, so he withdrew $120 total.

Meghan earns 20.00 dollars by walking dogs. She uses all of her earnings to buy a shirt for 12.85 dollars and some stickers for 0.65 dollars each. How many stickers does she buy ?

Answers

Answer:

She bought 11 stickers

Step-by-step explanation:

20 - 12.85

7.15

then

7.15/0.65

11

Answer:

the answer is 11 :D

Step-by-step explanation:

Im not sure but please correct me if im wrong!

PLEASE ANSWER ASAP! LOOK AT THE PIC ATTACHED: (please show work!)

Answers

Answer:

Answer is B

Step-by-step explanation:

Remember, perpendicular lines have opposite slopes. In order to do this, you just need to flip the sign (Change it to the opposite. For example, if it is 3, it would be -3), and change the slope to its reciprocal (For example, if it is 3, it would 1/3). Finally, since the equation is y = 1/2x + 10, the slope would change to -2x... so your answer is B

show work what is the gcf of 12x^2 and 15x^3

Answers

Hey there! I'm happy to help!

The greatest common factor is the largest factor that both numbers contain. Let's look at the factors of these terms.

12x²: 1, 12, 2, 6, 3, 4, x, x

15x³: 1, 15, 3, 5, x, x ,x

We see that both of these numbers contain a 3 and 2 x's, so our GCF would be 3x².

Have a wonderful day!

Determine the distance between 7.3 and 3.5.
A.10.7
B.4.3
C.3.7
D.-3.7

Answers

answer: B. 4.3
explination: subtract

What is the range of this function? Help

Answers

Answer:

Range is the extension of the values across the x-y plane. We can see the data extends as far as -13 and as far as 11 so (-13,11)

100% as a fraction in simplest form

Answers

Answer:

1

Step-by-step explanation:

100/100 =

1

srry if wrong but

hope this helps

take care

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