Which set of side lengths forms a right triangle?

A. 6,8,10
B. 2,4,6
C.1,2,3
D. 2,3,4

Answers

Answer 1

Answer:

A. 6,8,10

Step-by-step explanation:

For a right triangle the the values for the three sides we pick must satisfy the Pythagorean theorem:

a(2 + b(2= c(2

A. 6,8,10

6(2 + 8(2 = 10(2

36 + 64 = 100

100 = 100

Bingo!

(For example lets solve the rest)

B. 2,4,6

2(2 + 4(2 = 6(2

4 + 16 = 36

20 ≠ 36

Nope.

C. 1,2,3

1(2 + 2(2 = 3(2

2 + 4 = 9

6 ≠ 9

No again!

D. 2,3,4

2(2 + 3(2 = 4(2

4 + 9 = 16

13 ≠ 16

Not this one.

Therefore our answer is A.


Related Questions

Which table represents a relation that is not a funtion?

Answers

Answer:

D

Step-by-step explanation:

because in D one input value (3) has 2 different assigned output values (0 and -4).

that violates the definition of a function, where every input value must have exactly 1 assigned output value (but the output values themselves don't have to be different for different input values, so, e.g. A is still a function).

Nick is having a birthday party. His mother said he must spend less than $42 on party favors and decorations. If all the decorations cost $21 and each favor is $3.50, how many favors can Nick buy?

Answers

Answer:6

Step-by-step explanation:

What you do is you divide 21 and 3.50 and that equals 6 so Nick can buy 6 favors under 42$. (I hope this helped if not then im sorry <3)

i’m struggling and my brain won’t work right now help

Answers

Answer:

10sr2 or 14.1421356

Step-by-step explanation:

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

if the triangle is an Isosceles triangle, then it's other two angles measure 45° each.

So, let's use Trigonometry here :

[tex]\qquad \sf  \dashrightarrow \: \cos(45) = \dfrac{10}{x} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{1}{ \sqrt{2} } = \dfrac{10}{x} [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 10 \sqrt{2} [/tex]

Therefore, the value of x is 10√2 units

John went to his local zoo where 50% of it's exhibits featured whales. if the zoo feature 24 exhibits in total, then how many zoo's exhibits feature whales?round your answe to the nearest whole number.

Answers

Answer:

12

Step-by-step explanation:

if 50% of it's exhibits feature whales, and they have 24 exhibits, then the answer would be 12. Remember, 50% means one half, and one half of 24 is 12. There is no need to round to a whole number because 24 is not an odd number.

Scott is the owner of a tool and die shop. He has hired you to check his machine’s calibration prior to starting production on a large order. To check this, you set the machine to create 1.5 inch screws and manufacture a random sample of 200 screws. That sample of screws has an average length of 1.476 inches with a standard deviation of 0.203 inches.

Does this sample provide convincing evidence that the machine is working properly or should it be shut down for repairs? Justify your reasoning mathematically.

Answers

Using the t-distribution, it is found that we do not reject the null hypothesis, which is convincing evidence that the machine is working properly.

What are the hypothesis tested?

At the null hypothesis, it is tested if the mean is of 1.5 inches, that is:

[tex]H_0: \mu = 1.5[/tex].

At the alternative hypothesis, it is tested if it is different, hence:

[tex]H_1: \mu \neq 1.5[/tex].

What is the test statistic?

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.

In this problem, their values are:

[tex]\overline{x} = 1.476, \mu = 1.5, s = 0.203, n = 200[/tex].

Hence, the test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{1.476 - 1.5}{\frac{0.203}{\sqrt{200}}}[/tex]

[tex]t = -1.672[/tex]

What is the decision?

Considering a two-tailed test, as we are testing if the mean is diffrent of a value, with 200 - 1 = 199 df and a standard significance level of 0.05, the critical value is of [tex]|t^{\ast} = 1.972[/tex].

Since the absolute value of the test statistic is less than the critical value, we do not reject the null hypothesis, which is convincing evidence that the machine is working properly.

More can be learned about the t-distribution at https://brainly.com/question/16313918


Do number 9 please.

Answers

Let's first understand the information the problem gives us

⇒ 6000 nails were done

    ⇒ 2% of the 6000 nails were faulty

       ⇒ 2% is equivalent to 2/100

          ⇒ therefore 2/100 of 6000 nails were faulty

             ⇒ 2 out of every 100 nails were faulty

                 ⇒ written mathematically

                    [tex]Faulty-nails=\frac{2}{100}*6000 = 2 * 60 = 120[/tex]

Thus there were 120 faulty nails

Hope that helped!

Pls help! I really need help! This is the question..
A sample of iron has dimensions of 2 cm x 4 cm x 6 cm and a mass of 100g. What is the density of the sample?

Answers

Answer:

2.083 g/[tex]cm^{3}[/tex]

Step-by-step explanation:

Density is mass / volume

volume = length * width * height

(In this case since iron is usually in a block unless stated otherwise)

100g / (2*4*6)cm^3 = density

100g / [tex]48 cm^{3}[/tex] = 2.083 g/[tex]cm^{3}[/tex]

simplify exponents please! need the answer immediately.

Answers

Answer:

[tex]\frac{w^{6} }{9 }[/tex]

Step-by-step explanation:

Given

[tex]\frac{3^{-2}*k^{0}*w^{0} }{w^{-6} }[/tex]

Remember :

Any term raised to the power 0 is equal to 1

Solving

[tex]\frac{3^{-2} }{w^{-6} }[/tex][tex]\frac{w^{6} }{9}[/tex]

Answer:

[tex]\huge\boxed{\bf\:\frac{w^{6}}{9}}[/tex]

Step-by-step explanation:

[tex]\frac{ 3 ^ { -2 } \times k ^ { 0 } \times w ^ { 0 } }{ w ^ { -6 } }[/tex]

Any number with 0 as its exponent will be equal to 1. So,

[tex]\frac{3^{-2} \times 1 \times 1}{w^{-6}}\\= \frac{3^{-2}}{w^{6}}[/tex]

Now,

[tex]\frac{3^{-2}}{w^{6}}\\= 3^{-2}w^{6}[/tex]

Then,

[tex]3^{-2}w^{6}\\= \frac{1}{3^{2}}w^{6}\\= \frac{1}{9}w^{6}\\= \boxed{\bf\:\frac{w^{6}}{9}}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

PLEASE HELP!!!!! I need to pass algebra

Answers

Answer:

C

Step-by-step explanation:

[tex]\bold{ANSWER:}[/tex]
OPTION C

[tex]\bold{EXPLANATIONS:}[/tex]

What is the volume of a right circular cylinder with a diameter of 19.6 yd and a height of 23.52 yd?

Enter your answer in the box. Use 3.14 for pi and round only your final answer to the nearest hundredth.

Answers

Answer:

7092.82 cubic yards

Step-by-step explanation:

The volume of a right circular cylinder is given by:

V represents the volume of a cylinder.

r represents the radius of a cylinder.

h represents the height of a cylinder.

As per the given statement:

Diameter(D) = 19.6 yd and height(h) = 23.52 yd.

Diameter = 2r where r is the radius of the cylinder

Substitute these given values in [1] we have cubic yard

Simplify:

V = 7,092.82291 cubic yard.

Hope this helps!

find y and w
help please

Answers

Answer:

w = 12

y= 4sqrt2

Step-by-step explanation:

$500 is deposited in a bank account paying 6% simple interest, how much interest will the deposit earn in 4 years?

Answers

Answer:

It will gain $120, making it $620 in all.

Step-by-step explanation:

A = 500(1 + (0.06 × 4)) = 620

Question 1 which of the following is the square of a binomial
a. M^2-2mn+n^2
b. c^2-cd+d^2
c. a^2+b^2
d. 4x^2-9y^2
Question 2
square the binomial (r+s). what is the result?​

Answers

Answer:

c just because

Step-by-step explanation:

just because

Write the equation of the line that passes through (0, 2) and (2, -4) in slope-intercept form.

Answers

[tex]\text{Given that,}\\\\(x_1,y_1) = (0,2)~~ \text{and} ~~ (x_2,y_2) =(2,-4)\\\\\text{Slope,}~~m = \dfrac{y_2 -y_1}{x_2 - x_1} = \dfrac{-4-2}{2-0}=-\dfrac 62 = -3\\\\\\\text{Equation with given points,}\\\\~~~~~~y-y_1 = m(x-x_1)\\\\\implies y-2 = -3(x-0)\\ \\\implies y-2 = -3x \\\\\implies y = -3x +2\\\\\text{This is the equation of line in slope- intercept form(y=mx+c).}[/tex]

help please
i’ll give good rating

Answers

Answer:

closed circle means 10 is a possible answer

m is greater or equal to 10

it's the 1st and 4th options

Step-by-step explanation:

Answer:

m ≥ 10 and it's a closed circle that is a possible answer.

Step-by-step explanation:

Rules:

Open circle: < (going left) or > (going right)

Closed circle: ≤ (going left) or ≥ (going right)

Here, we have a closed circle at 10, going right (≥).

Therefore, the correct answers are: m ≥ 10 and it's a closed circle that is a possible answer.

This means that m is equal to 10, or any value that is greater than 10.

Hope this helps!

What is 10^5/10^3=?
What is the answer

Answers

Answer:

The answer is 100

Answer:

10⁵ / 10³ = 10^(5-3)= 10²

while diving the power gets subtracted if they have same base

I need help on this question I don’t get what it’s asking what so ever

Answers

Answer:

y=4

Step-by-step explanation:

The question is asking what is the value of y:

Since all lengths have a dash on them they are all equal :

So 3y = y+8

3y = y + 8

First we subtract y from both sides:

3y-y = y+8-y

2y = 8

Divide both sides by 2:

2y÷2 = 8÷2

y = 4

Answer:

Step-by-step explanation:

The question is asking you to find the value of y in a square.

A square has same length in all sides so we can achieve that:

y+8 is equal to 3y

simplifying that, we find out the answer is 4. How?

We have previously acheived that:

y+8=3*y

So we need to find y using these steps:

1. Subtract 3y from both sides:

y+8−3y=3y−3y

−2y+8=0

2. Divide both sides by -2:

y=4

 

What is the volume of this triangular prism?

Answers

Answer:

[tex]\text { The volume }=288 \mathrm{ft}^{3}[/tex]

Step-by-step explanation:

let V be the volume of the prism

    B The area of the base which is a triangle

    h is the height of the prism

______

Formula:

V = B × h

________

[tex]\begin{aligned}B &=\frac{9 \times 4}{2} \\&=\frac{36}{2} \\&=18\end{aligned}[/tex]

h = 16

Now we calculate:

[tex]\begin{aligned}V &=B \times h \\&=18 \times 16 \\&=288\end{aligned}[/tex]

Create an equation to solve.

Answers

Answer:

x = 80 - 54

Explanation:

The whole angle is 80 degrees, and the other part is 54 degrees, so subtract 54 from 80 to get the other part (x).

If a=2, b= -1 and c=1, then find the value of:
A- a+b-c²
B- a³-b+c
C- a-b-c

Answers

Answer:

Step-by-step explanation:

A. 2 + -1 - 1^2 = 1 - 1 = 0

B. 2^3 - -1 + 1 = 8 + 1 + 1 = 10.

C. 2 - -1 - 1 = 2 + 1 - 1 = 2.

A- a+b-c²

=2+(-1-1)^2

=1-1

=0

B- a³-b+c

2^3-(-1+1)

=8+1+1

= 10

C- a-b-c

2-(-1-1)

=2+1-1

=2

Which expression is equivalent to [tex]sin\frac{7\pi }{6}[/tex]?

Answers

Check the picture below.

notice, the pairs in the Unit Circle are the (cosine , sine) pair, which are equivalent to (x , y) values in a cartesian plane.

Answer:

D on edg 2022

Step-by-step explanation:

Consider the quadratic equation x3 = 48-5. How many solutions does the equation have?

Answers

Answer:

 you would  have 84-.10 I think

Step-by-step explanation:

Im pretty sure there are 2 solutions

Estimate
10
12

3
8
using benchmark values. Your equation must show the estimate for each fraction and for the solution.

Answers

Answer:

The bench mark values might be 10/120 - 30/80

Step-by-step explanation

Can you factor -8x²=2x-3

Answers

The answer may be

X = 1/2
Or
X= -3/4

PLASE HELP ASAP, brainly >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>


Use the system of equations to answer the following question:

2x - 5y = -6

2x - 7y = -14

Which ordered pair is the solution to the system?

Answers

I Hope That I Am Not To Late, But The Answer Is D (7,4) <3

Explanation

2 x 7 = 14

5 x 4 = 20

14-20= -6

>>>

2 x 7= 14

7 x 4 = 28

14-28= -14

X= 7 & Y=4

Once again sorry if i am late, if others come I hope this helps UwU

(4.5 x 10^9) + (4.5 x 10^-4)

Answers

This should be the correct answer,
4.5×10^9x + 0.00045x

Also, some good free calculators that can help with problems like this would be c y m a t h and m a t h w a y .

Select all the expressions that are equivalent to the following calculation add 43 and 25 then multiply by 8.

Answers

Answer:544

Step-by-step explanation:43 + 25 = 68


68 × 8 = 544

50 divided by 0.25 With solution.

Answers

Answer:200

Step-by-step explanation:

50x100/0.25x100 (to make it into non decimal no.)

5000/25=200

[tex]\dfrac{50}{0.25}\\\\\\=\dfrac{50}{\tfrac{25}{100}}\\\\\\=50 \times \dfrac{100}{25}\\\\\\=2 \times 100\\\\\\=200[/tex]

What is the result of adding these two equations?

2x+7y=4
-2x-8y=-2

Answers

Answer:

y=-2

Step-by-step explanation:

2x-2x=0

7y-8y=-y

4-2=2

-Y=2

Y=-2

After adding them together you should get -2

Anne is 35 years old, Bob is 24 years old, Charlie has feature A, and Daniel doesn’t have feature A. You’re allowed to ask people how old they are and whether they have feature A. You want to conclusively test the hypothesis “among these four people, those above age 30 definitely have feature A”.
What’s the minimum number of people you have to ask?

One person

Two people

Three people

Four people
Clear
Which people do you ask?

Anne

Bob

Charlie

Daniel

Answers

Two people, Anne and Charlie.

Statistics

Given that Anne is 35 years old, Bob is 24 years old, Charlie has feature A, and Daniel doesn't have feature A, and you want to conclusively test the hypothesis “among these four people, those above age 30 definitely have feature A ”, to determine what's the minimum number of people you have to ask and which people do you ask, the following calculation must be performed:

Of the 4 people, 1 is over 30 years old and another has feature A, with which both should be considered for the study, while the other two do not meet the requirements. So, these two people would be Anne and Charlie.

Learn more about statistics in https://brainly.com/question/8058700

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