Provide a full and complete explanation for the ratios of a 30-60-90 right triangle. Your explanation should include plain English explanation as well as mathematical explanation in the form of equations and symbols. While pictures could be helpful, they are not required and will not be scored as part of the solution.

Answers

Answer 1

Answer:

Step-by-step explanation:

a 30-60-90 right triangle is a right triangle because of the 90

the 30 and the 60 have to make 90 too since traingles make 180

30 + 60 + 90 = 180

so 30-60-90 is a right triangle.

Right triangles also can use pythagoran theorem, so the angle ratio is

30-60-90

but the side ratio is

a² + b² = c²


Related Questions

Write the sentence as an inequality.
1. The sum of twice a number n and 8 is at most 25.

Answers

Answer:

2n + 8 = 25

try the sign (equal to) or (less than or equal to)

Please help and give brainliest answer

Answers


(a^4+5a^2+4)(7a^2)
The answer is:

7a^6+35a^4+28a^2

David can type a 50-page paper in 8 hours. Last month, David and Andy together typed a
50-page paper in 6 hours. How long would Andy take to type a 50-page paper by himself?

Answers

Answer:

12.5pages

Step-by-step explanation:

50pages ×6hours=300 and then we divide by 8 to get 37.5(the number of pages printed by david in 6 hours)

subtract 37.5 from 50 to find the number of pages printed by andy

Find a solution to the following system of equations by graphing
y= 7x + 3
y= 3x -0.5

Answers

Answer: (-7/8, -3 1/8)

Step-by-step explanation:

To find the solution to a system of equations by graphing, you graph the two equations and the solution is where the two lines intersect. Attached is the graph.

Answer:

the answer is (-0.875, -3.125)

Please help!! Thank you

Answers

Answer:

Equilateral acute

Step-by-step explanation:

Equilateral acute

To pour the concrete sidewalk shown in the figure, approximately how many cubic feet of topsoil will you need to remove for the 4"-thick sidewalk if the owner wants the finish surface of the sidewalk to be level with the adjacent topsoil? ROUND YOUR ANSWER TO THE NEAREST CUBIC FOOT. _____ cu ft

Answers

Answer: 109 cu ft

Step-by-step explanation: had it on a test

The mean age of 6 women in an office is 34 years old. The mean age of 8 men in an office is 34 years old. What is the mean age (nearest year) of all the people in the office?

Answers

Step-by-step explanation:

204+272/14=34 years old

1O POINTS PLS ANSWER ASAP THANKS

Answers

Answer:

Step-by-step explanation:

The angle measuring 152 is split up, per se, into 2 angles. One of them is a 90 degree angle, as demonstrated by the little square that is above the 152. That 90 degree angle is on a straight line with the 28 degree angle and the angle measured as x. A straight line has a measure of 180. Therefore, 180 - 28 - 90 = x, so x = 62

need help with this one

Answers

Answer:

Step-by-step explanation:

B + 87 +78 +66 = 360

B = 129 °

the angle next to B then is

180 = 129 + b '

51 °  = b '

A  + 61 + b ' = 180

A = 68 °

A car dealership allows you to customize your new car. You can choose between blue, red, black, or silver paint. The interior comes in leather or cloth. You can also choose between a manual or automatic transmission. How many different new cars can you create?

a 32
b 16
c 8
d 10

Answers

Answer:

I think the answer is 16 option b

giving brainliest ! *easy*

Answers

Answer:

170

Step-by-step explanation:

17π/18 * 180/π

17*180/18

=170

Determine The Missing Number In The equation

1+12= +2


PLEASE HURRY!!!!

Answers

I guess it is 13, 1 plus 12 is 13 so

3x3 grid using 24cm wire. How much wire for 20x20 grid?

Answers

Answer:

840cm

Let Me Know If This Is Correct I Always Want To Improve!

Thanks :)

Which two numbers are exactly 10 units away from 5?​

Answers

Answer:

-5 and 15

Step-by-step explanation:

10±5 = -5, 15

15 and -5 are exactly 10 units away from zero

Solve the equation in two different ways. Choose one method of solving in detail 5x+7(x+1) = 5x - 21

Answers

Answer:

METHOD 1:

5x+7(x+1)=5x-21

5x+7x+7=5x-21

12x+7=5x-21

12x-5x=-21-7

7x=-28

x=28/7

x=4

METHOD 2:

5x+7(x+1)=5x-21

5x+7(x+1)=5x-21-5x

7(x+1)=-21

7x+7=-21

7x=-28

x=4

Step-by-step explanation:

METHOD 1:

5x+7(x+1)=5x-21

5x+7x+7=5x-21

12x+7=5x-21

12x-5x=-21-7

7x=-28

x=28/7

x=4

METHOD 2:

5x+7(x+1)=5x-21

5x+7(x+1)=5x-21-5x

7(x+1)=-21

7x+7=-21

7x=-28

x=4

The average of 15 test scores is 80. If the average of first eight test scores is 65 and that of the last eight test scores is 70, then the eighth score is 80.

True or False?

Answers

Answer:

False

Step-by-step explanation:

The average of 15 test scores is 80.

The total is:

15*80 = 1200

The average of first eight test scores is 65.

The total is:

8*65 = 520

The average of last eight test scores is 70.

The total minus 8th score is:

8*70 - 80 = 480

The sum gives us the total of 15 scores:

520 + 480 = 1000 < 1200

The answer is FALSE

A lunch menu consists of 8 different sandwiches, 5 different soups, and 5 different drinks. How many choices are there for ordering a sandwich, a bowl of soup, and a drink?

A) 291
B) 18
C) 200
D) 296

Answers

the answer is C) 200.

50 POINTS! QUICKLY Are the pairs of variables x and y the solutions to the equation x^2–2y=7?

1. (5,8)
2. (-1,-3)
3. (-4,-11.5)
4. (1.2, -2.78)

These are all yes and no questions!

Answers

Hi there!

[tex]\large\boxed{(5,8) \text{ and } (1.2, -2.78)}}[/tex]

We are given the equation:

x² - 2y = 7

To verify if each ordered pair is apart of the function, we can plug in their respective x and y values:

1. (5)² - 2(8) = 7

25 - 16 = 9 ≠ 7. This is NOT correct.

2. (-1)² - 2(-3) = 7

1 + 6 = 7. This is correct.

3. (-4)² - 2(-11.5) = 7

16 + 23 = 39 ≠ 7. This is NOT correct.

4. (1.2)² - 2(-2.78) = 7

1.44 +5.56 = 7. This is correct.

Thus, only 1 and 4 are the correct answers.

No yes no yes

:)

Brainliest please! <3 i will give you brainliest and 5 free points if you do! I will post the free answers problem, it will be called

“(1 + 1)-2” and it will have your username!

Sarah has 30 pencils. She wants to give her 5 friends the same amount of pencils. How many pencils does Sarah give each friend? (Write an equation and then solve.)

Answers

Answer:

6 pencils

Step-by-step explanation:

30/5=6

Equation:

30/5=6 pencils each

Zak buys 6 gallons of fruit punch. He has
coupons for $0.55 off the regular price of
each gallon of fruit punch. After using the
coupons, the total cost of the fruit punch is
$8.70. Determine the regular price of a
gallon of fruit punch.​

Answers

$8.70 is the total cost without the coupons. He gets 6 gallons. He gets $0.55 off per gallon.

To find the total price Zak got off, multiply 6 and $0.55. 6 x $0.55 = $3.30, so he got $3.30 off.

To find the total price. Add the total cost without the coupons + the amount the coupons saved him.
$8.70 + $3.30 = $12

To find the price per one gallon, divide the total price / number of gallons

$12/6 = $2. The regular price is $2 a gallon

Find the equation of the line that is parallel to the line x + 5y = 10 and passes through the point (1,3).
A)
y = -x +
16
5
B)
y = -5x - 5
16
y = 5x + 10
D)
y=-x-2

Answers

Y-3=mctb should be bright

Fill the blanks using Product formula. ​

Answers

Answer: (-4s-1)*(-8) + (-4)*(-8s+7)

You have the right idea, but you swapped the items in the wrong order. Meaning that you applied the derivative to the wrong pieces as shown in the order above. It seems you have to follow this specific order for the computer to accept the answer.

Rohan bought an almirah for Rs 15,600 and spent Rs 400 on its transportation. The total C.P is __________

Answers

From the question,

Rohan bought an almirah for =Rs.13600= cost price

Transportation cost =Rs.400

The total cost price of almirah =Rs.(13600+400)

The total cost price of almirah =Rs.(13600+400)=Rs.14000

He sold it for =Rs.16800= selling price

By comparing SP and CP=SP>CP, so there is a gain

Gain=SP−CP

=16800−14000

=Rs.2800

Gain %={(gain/CP)×100}

={(2800/14000)×100}

={2800/140}

=20%

Please help me

I give u brainliest answer if correct and all those

Answers

Answer:

3) 23.32

4) 11.12

5) 2.06

6) 20.69

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

Answer:

Step-by-step explanation:

3. 12+3.04+8.28= 23.32

4. 6.97+4.15= 11.12

5. 9.04-6.97= 2.07

6. 4.02+0.19+16.48= 20.69

Sorry if I'm wrong hope it helps!

Factorise fully 4x-x³​

Answers

Answer:

[tex]x(2 - x)(2 + x)[/tex]

please help me i really need help please

Answers

Answer:

7: 100

8: 40

9: 74

Step-by-step explanation:

Answer:

7. x= 100 8. x= 40 and 9. x= 74

Step-by-step explanation:

x + 45 +35=180(sum of angle of triangle )

or, x+ 80=180

or, x=180-80

or, x=100

same process as above for all

Some researchers have conjectured that stem-pitting disease in peach-tree seedlings might be controlled with weed and soil treatment. An experiment is conducted to compare peach-tree seedling growth when the soil and weeds are treated with one of two herbicides. In a field containing 20 seedlings, 10 are randomly selected throughout the field and assigned to receive herbicide A. The remainder of the seedlings is assigned to receive herbicide B. Soil and weeds for each seedling are treated with the appropriate herbicide, and at the end of the study period, the height in centimeters is recorded for each seedling. The following results are obtained: Herbicide A = 94.5 cm s1 = 10 cm Herbicide B = 109.1 cm s2 = 9 cmWhat is a 90% confidence interval (use the conservative value for the degrees of freedom) for μ2 – μ1?
a. 14.6 ± 7.00
b. 14.6 ± 7.38
c. 14.6 ± 7.80
d. 14.6 ± 9.62

Answers

Answer:

A. 14.6 ± 7.00

Step-by-step explanation:

Formula for the confidence interval between the two mean is;

CI = (μ2 - μ1) ± z√[((s1)²/n1) + ((s2)²/n2)]

We are given;

μ1 = 94.5

μ2 = 109.1

s1 = 10

s2 = 9

n1 = 10

n2 = 10

The z-value at confidence interval of 90% is 1.645

Thus;

CI = (109.1 - 94.5) ± 1.645√[(10²/10) + (9²/10)]

CI = 14.6 ± 7.00

Given that n is an integer, prove that 6 is a factor ofn3+ 5n

Answers

Answer:

n3+5n=6

taking common as n

n(5+3)=6

n8=6

plz help me

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

Answers

Answer:

Step-by-step explanation:

PLS HELP AND HURRY

After how many hours is the price the same in both companies? Explain how you found the answer.

Answers

Step-by-step explanation: 5

Answer:

Step-by-step explanation:

Raging River costs

y=9x

Paddlers costs

y=x+40

So they cost the same when y=y

9x=x+40

8x=40

x=5

So they cost the same for 5 hours.

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