Do these side lengths make a right triangle? 6, 8, 10

Answers

Answer 1

Answer:

Yes

Step-by-step explanation:

[tex]6^{2}[/tex] + [tex]8^{2}[/tex] = [tex]10^{2}[/tex]

36 + 64 = 100

The Pythagorean theorem is true.


Related Questions

Please help!You roll a 6-sided die two times.

What is the probability of rolling a number less than 4 and then rolling an odd number?

Write your answer as a percentage.

Answers

Answer:

25%

Step-by-step explanation:

[tex]6 \times 6 = 36 \\ 3 \times 3 = 9 \\ \frac{9}{36} = \frac{25}{100} [/tex]

Find the value of x. Then find mAB.

Answers

Answer:

16x - 5 = 15x

16x - 16x -5 = 15x - 16x

-5 = -x

-5 / -1 = -x / -1

x = 5

mAB = 5(5)

mAB = 25°

Step-by-step explanation:

1. set arc FA and arc CD equal to each other.

2. subtract 16x from both sides.

3. divide both sides by -1 to get x.

4. replace x by its value to solve for mAB.

After returning to South Africa from Algeria in 1964, Nelson Mandela was
Arrested and imprisoned
Elected to the presidency
Educated in guerrilla tactics
Finally granted his freedom

Answers

Answer:

arrested and imprisoned.

Nelson Mandela was arrested an imprisoned by the Apartheid regime when he returned from Algeria.

Who is Nelson Mandela?

Nelson Mandela was a know nationalist in South Africa and a strong advocate for the liberation of South Africa from the Apartheid  in which the non-white South African's were segregated.

Nelson Mandela was educated in Algeria as a lawyer. When he returned in 1964, he was arrested and imprisoned.

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what is the total cost of a meal if the food cost $25 and there is a food tax of 3% and the waiter is tipped 15% of the food cost? Round to the nearest cent.

Answers

Answer:

$30

Step-by-step explanation:

If $25 is 100%,

$2.5 is 10%

$0.25 is 1%

$3.75 is 15%

$0.75 is 3%

Then add $25, $3.75 and 0.75 which is also equivalent to 100%+15%+3%=29.5 and if you rounded it up to the nearest cent it is 30

Bryna has $300 to open a checking account. She wants an account with the least amount of fees. She does not plan on using an ATM and her employer offers direct deposit.

A 6-column table with 3 rows. Column 1 has entries A, B, C. Column 2 is labeled Minimum Balance with entries 500 dollars, 250 dollars, 50 dollars. Column 3 is labeled Interest with entries 0.1 percent, 0 percent, 0 percent. Column 4 is labeled Overdraft protection with entries yes, no, no. Column 5 is labeled A T M Fees with entries 0 dollars for all A T M s, 0 dollars for A B C banks A T M s, 2 dollars per transaction. Column 6 is labeled Monthly Fee with entries 5 dollars, 10 dollars, 0 dollars with direct deposit.

Bryna should choose account
.

Answers

Answer:

Its C On Edge Just Took The Quiz

Step-by-step

Answer:

c

Step-by-step explanation:

took quiz 100%

Write a unit rate for the situation. 54$ for 3 tickets.

Answers

Answer:

It would be $18 because you would divide 54 by 3 and get $18 per ticket

Step-by-step explanation:

The unit rate is $18.00 for every ticket. This is because 54/3=18

5x + 7 + 2x anwer plz

Answers

Answer:

The final answer is [tex]7x +7[/tex] .

Step-by-step explanation:

-Solve equation:

[tex]5x + 7 + 2x[/tex]

-Combine like terms:

[tex]5x + 7 + 2x[/tex]

[tex]7x +7[/tex]

-Result:

[tex]7x +7[/tex]

You start by adding the like terms (5x+2x). This is equal to 7x. This results in 7x+7. If you want to go further and take out a greatest common factor, you can take out a 7. The final answer would be 7(x+1).

Someone please help me out!

Answers

Answer:

S = {2,4,6,8} P(2) = 3/20  P(4) = 3/10 P(6) = 3/10 P(8)=  1/4

Step-by-step explanation:

There are 30 draws

She got the tile numbered 2 3 times

P(2) = 3/20 = .15

She got the tile numbered 4 6 times

P(4) = 6/20 = 3/10 = .3

She got the tile numbered 6 6 times

P(6) = 6/20 = 3/10 = .3

She got the tile numbered 8 5 times

P(8) = 5/20 = 1/4 = .25

What is the Volume and surface area of a cone with a diameter of 18ft and a slant height of 30ft

Answers

Answer:

A cone with a diameter of 18ft and a slant height of 30ft

Using Pythagorean theorem, the height is calculated by:

H = sqrt(18^2 - (30/2)^2) = 9.95

The surface area:

A = lateral surface area + base

A = pi x radius x slant height + pi x radius^2

A = pi x (30/2) x 18 + pi x (30/2)^2 = ~1555.1 (ft2)

The volume:

V = base x height x (1/3)

V = pi x radius^2 x height

V = pi x (30/2)^2 x 9.95 = 7033.2 (ft3)

Hope this helps!

:)

A water storage tank is in the shape of a hemisphere​ (half a​ sphere). If the radius is 26 ​ft, approximate the volume of the tank in cubic feet.

Answers

Answer:

36,811 cubic feet.

Step-by-step explanation:

Volume = 1/2 volume of a sphere

= 1/2 * 4/3 π r^3

= 2/3 * π r^3

R = 26 so

Volume of the tank = 2/3 *  π 26^3

= 36811.09 feet^3.

The volume of the tank in cubic feet approximate  is 36,811 cubic feet.

What is the volume of sphere?

If the given sphere is of radius r units, then its volume is given as:

[tex]V= \dfrac{4}{3} \pi r^3 \: \rm unit^3[/tex]

We are given water storage tank is in the shape of a hemisphere​ (half a​ sphere). If the radius is 26 ​ft.

Therefore,

Volume = 1/2 volume of a sphere

= 1/2 * 4/3 π r^3

= 2/3 * π r^3

R = 26

Therefore, Volume of the tank = 2/3 π 26^3

= 36811.09 feet^3.

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20,30,40,50,60,70,80 the mean of the number set is

Answers

Answer:

Mean is 50

Step-by-step explanation:

20 + 30 + 40 + 50 + 60 + 70 + 80 = 350

350 / 7 = 50

Answer:

50

Step-by-step explanation:

Mean means average number which sum of all numbers divided how many numbers we are investigating

We are investigating 7 numbers

The total sum of these numbers are:

20 + 30 + 40 +50+ 60+70+80= 350

Mean = 350/7= 50

45% of all 1st graders at Sierra Elementary School are female students. This year there are 54 female 1st graders at Sierra Elementary School. How many 1st graders are there at Sierra Elementary School this year?

Answers

Answer:

There are 120 1st graders at Sierra Elementary School this year

Step-by-step explanation:

Let n represent the total number of 1st graders at Sierra Elementary School

Since 45% of all 1st graders at Sierra Elementary School are female students and this year there are 54 female 1st graders, 45% of n is equal to 54

→ n([tex]\frac{45}{100}[/tex]) = 54

→ 45n = 5400

→ n = 120

Answer:

number of first grader at Sierra elementary school = 120  

Step-by-step explanation:

The question says 45% of 1st graders at Sierra Elementary school are female student . This year there are 54 female 1st graders at Sierra Elementary school .The number of 1st graders at Sierra elementary school can be calculated below .

Let

the number of 1st grader = a

45 % of a = female population

This year the female 1st graders at the Sierra elementary school are 54. This can represented as follows

45% × a = 54

45/100 × a = 54

45a/100 = 54

cross multiply

45a = 5400

divide both sides by 45

a = 5400/45

a = 120

number of first grader = 120  

One of the solutions to x^2 – 2x – 15 = 0 is x = -3. What is the other solution?

x = -5
x = -1
x = 1
x = 5

Answers

Answer:

work is shown and pictured

Which expression shows that the quotient
2/3x-1 ÷ 6/6x-1
is also a rational expression? Assume x
1/3 and x 1/6​

Answers

Answer:

Option (2)

Step-by-step explanation:

Given expression is [tex]\frac{2}{(3x-1)}[/tex] ÷ [tex]\frac{6}{6x-1}[/tex]

We further simplify this expression,

[tex]\frac{2}{(3x-1)}[/tex] ÷ [tex]\frac{6}{6x-1}[/tex]

= [tex]\frac{2}{(3x-1)}\times \frac{6x-1}{6}[/tex]

= [tex]\frac{6x-1}{3(3x-1)}[/tex]

= [tex]\frac{6x-1}{(9x-3)}[/tex]

Therefore, [tex]\frac{6x-1}{(9x-3)}[/tex] will be the quotient of the given expression.

[tex]x\neq \frac{1}{3}[/tex] and [tex]x\neq \frac{1}{6}[/tex] for which the given expression is not defined.

Option (2) will be the answer.

Answer:

B

Step-by-step explanation:


There are 1200 students in a school. 51.5% of them are male. How many are female

Answers

Answer:

Step-by-step explanation:

4/3 times 22/7 times 1/4 cubed

Answers

Answer:

88/1344

Step-by-step explanation:

What is the product?

Three-fourths times 12.44

3.11
9.33
12
36

Awnser pls ill give a star

Answers

Answer:

9.33

Step-by-step explanation:

12.44=311/25

(3/4)×(311/25)=(3×311/4×25)=933/100=9.33

Answer:

B. 9.33

Step-by-step explanation:

I go with my gut and my gut tells me this the right answer ( I used a calculator).

The exterior angle of a regular polygon is 30°. What is the measure of an interior angle of the polygon.

B. How many sides does this polygon have.


C. What is the sum of all the interior angels.

This is all the same polygon.

Answers

Answer:

A) Measure of an interior angle of polygon = 150°

B) No of sides = 12

C) Sum of all interior angles = 1800°

Step-by-step explanation:

Measure of interior angle of polygon = 180°- measure of exterior angle of polygon

= 180°-30°

= 150°

B.

[tex]No.\: of \: sides = \frac{360\degree}{30\degree} = 12\\\\C.\\Sum\:of\: all \:interior\: angles \\= (n-2)\times 180\degree\\= (12-2) \times 180\degree\\= 10\times 180\degree\\= 1800\degree[/tex]

Five 12s is equal to how many 48s?

Answers

Answer:

1 1/4 48's.

Step-by-step explanation:

5 * 12 = 60

60 / 48 = 1 12/48

= 1 1/4.

Answer:

1 48

Step-by-step explanation:

if 2 twelve is equal to 24 and 24+24= 48 then 4 12s would equal one 48 with 12 still remaining

Evaluate 15 - 151.
-10
10
20
-20

Answers

Answer:

10

Step-by-step explanation:

15 - |5|

The absolute value of 5 is 5

15 - 5

10

Answer:

10

Step-by-step explanation:

assuming those are absolute value bars it is basically 15-5=10 so 10 is your answer!

Using the following triangle, write a proof to verify that sinA/a=sinC/c

Write two different expressions for h and set the expressions equal to each other

Answers

Answer:

Proved: [tex]c\sin A=a\sin C\Rightarrow \frac{\sin A}{a}=\frac{\sin C}{c}[/tex]

Step-by-step explanation:

Given: A triangle

To prove: [tex]\frac{\sin A}{a}=\frac{\sin C}{c}[/tex]

Solution:

Trigonometry is a branch of mathematics that explains relationship between sides and angles of the triangle.

Sine of angle = side opposite to the angle / hypotenuse

In ΔADB,

[tex]\sin A=\frac{BD}{AB}=\frac{h}{c}\\\Rightarrow h=c\sin A\,\,\,(i)[/tex]

In ΔBDC,

[tex]\sin C=\frac{BD}{BC}=\frac{h}{a}\\\Rightarrow h=a\sin C\,\,\,(ii)[/tex]

From equations (i) and (ii),

[tex]c\sin A=a\sin C\\\frac{\sin A}{a}=\frac{\sin C}{c}[/tex]

Hence proved

Find the slope,

Use this form example: y=Mx+b

Answers

Answer:

The slope is 1 or just x

Step-by-step explanation:

rise/run (rise over run) to find the slope

Find the EXACT perimeter and EXACT area of triangle ABC (meaning radical form) BD=3 *will give brainliest*

Answers

Answer:

Perimeter = 4.5√3 + 4.5

Area = 3.375√3

Step-by-step explanation:

Well you can first see that triangle ABC is a 30°60°90° triangle.

Since angle A is 60 and it is bisected, you will have a small 30°60°90° triangle and a 120°30°30° triangle.

You can say that DA is congruent to BD by Base Angle Theorem.

DA = 3

By using the ratios of the sides of the 30°60°90° you get that CD is 1.5 and CA is 1.5√3

CD = 1.5

CA = 1.5√3

BC = 4.5

Area = (4.5 * 1.5√3) / 3 = 6.75√3 / 2

Area = 3.375√3

By using the 30°60°90° ratio again, you get that BA = 3√3

Perimeter = 1.5√3 + 3√3 + 4.5

Perimeter = 4.5√3 + 4.5

I'm not 100% sure that the answer is right so check it.

Tina loves to read. Before breakfast, she read 21/2 pages, at lunch she read 31⁄5 pages, and after dinner she read 11⁄3 pages. How much did Tina read in total?

Answers

Answer: 7 1/30

Step-by-step explanation:

Tina loves to read. Before breakfast, she read 2 1/2 pages, at lunch she read 3 1/5 pages, and after dinner she read 1 1/3 pages. To find the total, we add all the pages together. This will be:

2 1/2 + 3 1/5 + 1 1/3

The LCM of 2, 5 and 3 is 30.

= 2 15/30 + 3 6/30 + 1 10/30

= 6 31/30

= 7 1/30.

3x + 5 = 2x + 8 =
help me plz

Answers

Answer:

x=3

Step-by-step explanation:

Answer:

The answer would be 3.

Step-by-step explanation:

the decimal expansion of 131 upon 120 will terminate after how many places of decimal A)1 b)2c) 3D) will not terminate​

Answers

Answer:

c) 3

Step-by-step explanation:

An irregular figure was broken into a triangle and rectangle. The area of the triangle is in2. The area of the rectangle is in2. The area of the irregular figure is in2.

Answers

Answer:

the anser is 24,32,56

Step-by-step explanation:

i did it got it wrong and then it gave me the right anser witch is that

Answer:

24,32,and 56 is right. trust me

Step-by-step explanation:

Let a and b be real numbers where a b 0. Which of the following functions could represent the graph below?

f(x) = x(x – a) (x - 1)3
f(x) = (x - a)
- a)2(x – b)4
f(x) = x(x - a) 6(x – b)2

Answers

Answer:

C

Step-by-step explanation:

I took the test

The function which represents the graph given is f(x) = (x - a)²(x - b)⁴.

What are Polynomials?

Polynomials are expressions which consist of one or more terms involving variables and coefficients connected with operations like multiplication, subtraction, addition and natural number powers of variables.

Given is a graph of a function.

The options f(x) = x(x - a)³(x - b)³ and the option f(x)=x(x - a)⁶(x - b)² is not possible since x = 0 is not a root of the given graph.

That is the graph does not pass through the point (0, c) for any c.

Remaining options are f(x) = (x - a)²(x - b)⁴ and f(x) = (x - a)⁵(x - b).

We know that, the graph of a polynomial function always touch the X axis at zeroes with even multiplicities.

So here multiplicity will be even.

So the correct one is f(x) = (x - a)²(x - b)⁴.

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The graph of f(x) is shown.

On a coordinate plane, a parabola opens up. It goes through (negative 1.75, 4), has a vertex of (negative 0.25, negative 3), and goes through (1.4, 4). Solid circles appear on the parabola at (negative 1.6, 3.1), (negative 1.2, 0), (negative 0.25, negative 3), (0.8, 0), (1.2, 3.1).
Over which interval on the x-axis is there a negative rate of change in the function?

–2 to –1
–1.5 to 0.5
0 to 1
0.5 to 1.5

Answers

Answer:

The answer to this question is A, or -2 to -1.

Hope this helps.

Answer: A

Step-by-step explanation:

what is -2(6a-2b+4c-9)

Answers

Answer:

-12a + 4b - 8c + 18

Step-by-step explanation:

To do this, you will need to use the Distributive Property. Multiply the number outside of the parenthesis by the terms inside of the parenthesis.

-2(6a - 2b + 4c - 9) becomes:

-12a + 4b - 8c + 18

Answer:

use a app that is call photomath

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