Mathematics College


The length of the longer leg of a 30-60-90 triangle is 18. What is the length of the short leg? What is the length of the
hypotenuse?

Answers

Answer 1

The length of the short leg will be 10.4. And the length of the hypotenuse will be 20.8.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The length of the longer leg of a 30-60-90 triangle is 18.

Then the length of the short leg will be

tan 30° = x / 18

          x = 10.4

Then the length of the hypotenuse will be

sin 30° = 10.4 / h

        h = 20.8

More about the right-angle triangle link is given below.

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The Length Of The Longer Leg Of A 30-60-90 Triangle Is 18. What Is The Length Of The Short Leg? What

Related Questions

Determine the axis of symmetry of the Quadratic equation.
A. y=2
B. X=2
C. X=0
D. y=1

Answers

B/X=2
OWA OWA 20 minimum word

Answer:

option B : X=2

Step-by-step explanation:

Because the line U touches on X:2

LAST ONEEE <333333 HELPP

Answers

A

Step-by-step explanation:

A.
explanation: 4 units down is negative and everything else is postive and 1 unit to the right is a postive because you’re moving in a postive direction.

Cheese Or Pickles? WILL GIVE BRAINLIEST

Answers

Answer:

Pickles. My friends are allergic to cheese.

Which of the following can you use to find 20 percent of 48

1. 002(48)
2. 02(48)
3. 2(48)
4. 20(48)

Answers

Answer:

It's number 2

Step-by-step explanation:

20% of 48 is 9.6

On a math test a student, Jake, has to identify all the coefficients and constants of
the expression 8y +n + 9. Jake says that 8 is a coefficient and 9 is a constant. Identify all the
coefficients and constants of the expression. What error might Jake have made?

Answers

He is correct, but 1 is also a coefficient. n equals 1n, so there is a hidden 1 in the equation

A student loan needs to be paid off beginning the first year after graduation. Beginning at Year 1, there is $52,000 remaining to be paid. The graduate makes regular payments of $8,000 each year. The graph shows the sequence. f(x)=?​

Answers

Answer:

The equation is: [tex]f(x) = 52000 - 8000x[/tex]

Step-by-step explanation:

Given

Initial = 52000

Rate = 8000 each year

Required

Determine the equation of the graph

The equation can be determined using.

[tex]Amount = Initial - Rate* Years[/tex]

We used minus (-) because, the amount reduces as the student pays.

Let

[tex]y = Amount[/tex]

[tex]x = Years[/tex]

So, we have:

[tex]y = Initial - Rate * x[/tex]

Substitute values for Initial and Rate

[tex]y = 52000 - 8000 * x[/tex]

[tex]y = 52000 - 8000x[/tex]

Express as a function:

[tex]f(x) = 52000 - 8000x[/tex]

Sebastian and his family picked 4 1/4 bushels of red apples and 2 5/6 of green apples at the orchard. How many more red apples were picked.

Answers

Answer:

1 5/12

Step-by-step explanation:

4 1/4- 2 5/6= 1 5/12

Also   1 5/12+  2 5/6= 4 1/4

Write the equation of the line in slope-intercept form that has a slope of -5/2 and passes through the point (14,-39)

Answers

Answer:

Step-by-step explanation:

The equation of the line in point-slope form;

y+39 = (-5/2)(x-14)

Rearrange to solve for y:

y+39 = (-5/2)x + 35

y = (-5/2)x + 4

Are these congruent (PLEASE HELPPP)

Answers

Answer:

all of them are congruent

Step-by-step explanation:

HOPE IT HELPS YOU

2x+4x+7
i nered helpp

Answers

Answer:

6x + 7

Step-by-step explanation:

2x + 4x +7

(2 + 4)x  + 7

    6x    + 7

Answer:

combine like terms 6x+7

George bought a car at $5000 and sold it at $5500. What benefit, in percent, did he
make?
a. 500%
b. 10%
C. 5000%
0.5%

Answers

The answer to this question is a

The benefit in the percentage did he make at the time of purchasing and selling the car is 10%.

Calculation of the percentage:

Since George bought a car at $5000 and sold it at $5500

So, the profit percentage be like

[tex]= (5500 - 5000) \div 5000[/tex]

= 10%

hence, The benefit in the percentage did he make at the time of purchasing and selling the car is 10%.

Learn more about percentage here: https://brainly.com/question/24552083

An investor has an account with stock from two different companies. Last year, her
stock in Company A was worth $800 and her stock in Company B was worth $6180.
The stock in Company A has decreased 1% since last year and the stock in Company B
has decreased 5%. What was the total percentage decrease in the investor's stock
account? Round your answer to the nearest tenth (if necessary).

Answers

Answer:

4.5%

Step-by-step explanation:

800(1-0.01)=\color{green}{792}

800(1−0.01)=792

6180(1-0.05)=\color{blue}{5871}

6180(1−0.05)=5871

Last Year This Year

Stock A 800 792

Stock B 6180 5871

Total 6980 6663

\text{Find overall decrease:}

Find overall decrease:

6980(1-r)=6663

6980(1−r)=6663

\frac{6980(1-r)}{6980}=\frac{6663}{6980}

6980

6980(1−r)

​

=

6980

6663

​

1-r=0.954585

1−r=0.954585

-r=-0.045415

−r=−0.045415

Subtract 1

r=0.045415

r=0.045415

Divide by -1

\text{Final Answer: }4.5\%

Final Answer: 4.5%

Multiply by 100 and round to nearest 10th

If you roll a number cube 600 times, how many times do you expect to roll a number greater than 4?

Answers

Answer:

If it was a 6 number cube the answer would be 200

Step-by-step explanation:

Answer:

200, hope this helped.....

please answer my question because it is worth a lot of points

Answers

Answer:

Triangular prism

Step-by-step explanation:

Triangular prism

Search it up it is right


while shopping for clothes jacklyn spent $38 less than 2 times what Daniel spent. Jacklyn spent $10. Write and solve an equation to find out how much daniiel spent. Let x trepresent what daniel spent.

Answers

If Daniel spent x dollars, then Tracy spent
3x−8 dollars. Since Tracy spent $10, we can write the equation:
3x-8 = 10
3x = 18
x = 16
so Daniel spent 6$

Which triangles are similar to AABC?
A
5
B
11
8

Answers

It’s A because look at the the triangles

Need help! What are the coordinates of point P?

Answers

Answer:

the first circle.

Step-by-step explanation:

please mark brainliest of answers correct. have a nice day!

Answer:

A) -4,3

Step-by-step explanation:

WILL MARK BRAINLYIST use the figure to determine each angle measure

Answers

Answer:

1. 60  2. 65  3. 115  4. 55  5. 120  6. 60

Step-by-step explanation:

Hope it helps!

If a car travels x miles/hour for 3 hours, how far car travel after 6 hours?
a) x+3+3 miles
b) x+x miles
c) 9x miles
d) 2x miles
e) 6x+3x miles

Answers

Answer:

e will be the answer for sure of miles it happene d for the past hours he traveled in and how long

Write 0.000 97 in standard form

Answers

Answer:

[tex]9.7 \times 10 {}^{ - 4} [/tex]

The standard form of given number [tex]9.7[/tex]×[tex]10^{-4}[/tex]

What is standard form?

Standard form is a way of writing down in easy form of very large or very small numbers.

Let E is the standard form of given number

E=0.00097

E= [tex]\frac{97}{100000}[/tex]

E=97×[tex]10^{-5}[/tex]

E=[tex]9.7[/tex]×[tex]10^{-4}[/tex]

The standard form of given number [tex]9.7[/tex]×[tex]10^{-4}[/tex]

Learn more about Standard form

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Select all tables thaf represent A proportional relationship between x and y.

A: X: 0, 1, 2, 3
Y: 3, 6, 9, 12

B: X: 2, 3, 4, 5
Y: 12, 18, 24, 30

C: X: 2, 4, 6, 9
Y: 0, 2, 4, 6

D: X: 0, 1, 2, 3
Y: 0, 2, 5, 9

Answers

A is the answer babygirl.

An online fax company, EFaxIt, has a customer plan where a subscriber pays a monthly subscription fee of $6.5 dollars and can send/receive 120 fax pages at no additional cost. For each page sent or received past the 120 page limit, the customer must pay an overage fee of $0.08 per page. The following expression gives the total cost, in dollars, to send p pages beyond the plan's monthly limit.

C= 0.06p + 12.75

Required:
If the monthly bill under this plan comes out to be $16.47, what was the total number of pages that were sent or received?

Answers

Answer:

62 pages

Step-by-step explanation:

The total cost function is given as below:

C= 0.06p + 12.75

C=total cost for printing= $16.47

0.06= variable printing cost per page

p=number of pages prinited=the unknown

12.75=monthly fixed printing cost

16.47=0.06p+12.75

16.47-12.75=0.06p

3.72=0.06p

0.06p=3.72

p=3.72/0.06

p=62 pages

Simplify.
289
A)
17
18
C)
19
D)
20
I need help

Answers

Answer:

add my sc = bmic ava, no spaces

or add my discord = XoXo_ava

Step-by-step explanation:

have a good day bro

Evaluate the expression . 3/4•1/2+1

Answers

3/1 x +1 that the answer

60% of the 7,000 runners in a marathon were women. How many women ran the marathon?

Answers

Answer:

4200

Step-by-step explanation:

7000 x 0.60 = 4200

Please help ima bout to get a whooping if my mom still see's I got a c

Answers

Answer:

What do you need help with?

Step-by-step explanation:

Mary bought a 2 pound bag of dog food. Her dog ate 3/6 pound on Monday and 2/6 pound on Tuesday. How many pounds of dog food remain in the bag? (work it out)

Answers

Answer:

1-1/6

Step-by-step explanation:

3/6+2/6=5/6

This is out of one pound

So there is 7/6 pounds left

Or 1-1/6

Mrs. Childress has 12 packs of pencils and 8 packs
of cap erasers. What is the FEWEST amount of each
she will need to buy in order to have an equal
number packs of both pencils and cap erasers?

Answers

Answer:

4 packs of erasers and 0 packs of pencils

Step-by-step explanation:

To minimize what she needs to buy to end up with the same number of packs of pencils and erasers, she needs to make the number of each to be equal. So the total number of packs should be 12. She all ready has 12 pencil packs and would only need to buy 4 eraser packs

The two triangles illustrate below are similar. What are the values of x and y?​

Answers

Answer:

Answer is B is the right answer

B because it is b. Don’t worry the answer is B

Pls help me ASAP I will give brainliest

Answers

Answer:

[tex]y = 40000(1.02)^8[/tex]

Step-by-step explanation:

Given

[tex]a = 40000[/tex] -- Initial population

[tex]r = 2\%[/tex] --- Rate

Required

Determine the population in 8 years

The question shows an exponential distribution and the final population will be calculated using:

[tex]y = a(1 + r)^x[/tex]

Where x is the number of years.

So, we have:

[tex]y = 40000(1 + 2\%)^8[/tex]

Convert % to decimal

[tex]y = 40000(1 + 0.02)^8[/tex]

[tex]y = 40000(1.02)^8[/tex]

(b) is correct

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