Consider the expression

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Work Shown:

a = 9, b = 12 are the two legs of the right triangle

c = unknown is the hypotenuse

Apply the pythagorean theorem to find c

a^2 + b^2 = c^2

9^2 + 12^2 = c^2

81 + 144 = c^2

225 = c^2

c^2 = 225

c = sqrt(225)

c = 15

Answer:

15

Step-by-step explanation:

Since this is a right angled triangle we can use pythagoras theorem to work out the length of the hypotenuse, or the the longest side.

pythagoras theorem says that a²+b²=c² with c² being the hypotenuse, or missing side here.

12²+9²=225

Because 225 is equal to C², or C squared, we must take the square root in order to find the actual length.

√225 = 15

Answer:

Step-by-step explanation:

b line segment

Answer:

Volume = 27 cubic units

Step-by-step explanation:

First, the formula of volume is l x h x w.

Second, the l, h, and w, are all 3, so to get your answer you do 3 x 3 x 3 which equals 27.

Hope this helps!

Answer:

D for sure

Step-by-step explanation:

i dont know if you have time for this so i explain it in the comments if you need it

Answer:

the answer is D

Step-by-step explanation:

The answer is 3) Pythagorean.

A trigonometric identity derived from the Pythagorean theorem is called a Pythagorean identity.

Mathematically, the Pythagorean theorem states that

Hypotenuse^2 = Adjacent^2 + Opposite^2

Divide through by Hypotenuse^2

This gives

1 = cos^2(x) + sin^2(x)

Rewrite as:

cos^2(x) + sin^2(x) = 1

As a general rule, the above represents the basic Pythagorean identity.

Hence, the word that completes the blank is Pythagorean.

Read more about Pythagorean identity at:

https://brainly.com/question/1969941

#SPJ2

Answer:

algebraic expression: 3x + 2b

coefficients: 3 and 2

variables: w and b

# of terms: 2

constant: 0

algebraic expression: 6xy - 2c + 4

coefficients: 6 and -2

variables: x, y, and c

# of terms: 3

constant: 4

algebraic expression: 2/3 y - 3p

coefficients: 2/3 and -3

variables: y and p

# of terms: 2

constant: 0

Answer:

Problem 1:

Coefficients are : 3 & 2

Variables are: w & b

Number of terms: 2

Constant: none

Problem 2:

Coefficients are : 6 & -2

Variables are: xy & c

Number of terms: 3

Constant: 4

Problem 3:

Coefficients are : [tex]\frac{2}{3}[/tex] & -3

Variables are: y & p

Number of terms: 2

Constant: none

Step-by-step explanation:

Okay, lets break this down.

An Algebraic expression is not meant to be solved, but rather used to determine the various components inside of it to better understand how to solve equations later on. Although for now lets look at these problems. :

A Coefficient in terms of algebra, is the number before a variable. In other terms, a coeffiecient is the number before the letter such as 3w. Looking at 3w we see that there are two parts: 3, and w.

The number 3 is the coefficient while the variable is the letter w. Variables are always the letters.

Variable: A letter used to determine an unknown value such as x

Now a term is a single mathematical expression. It may be a single number (positive or negative), or a single variable ( a letter). (Can also be a coeffient with a variable multiplied or divided by one another as such :

[tex]3w = 3*w\\\frac{3}{w} = 3 / w[/tex]

 Some terms contain variables with a number in front of them. The number in front of a term is called a coefficient.

Now with that said, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number. Example: in "x + 5 = 9", 5 and 9 are constants.

With all of that said, lets look at the problems given:

Problem 1:

Coefficients are : 3 & 2

Variables are: w & b

Number of terms: 2

Constant: none

Problem 2:

Coefficients are : 6 & -2

Variables are: xy & c

Number of terms: 3

Constant: 4

Problem 3:

Coefficients are : [tex]\frac{2}{3}[/tex] & -3

Variables are: y & p

Number of terms: 2

Constant: none

I would be happy to help you again in the future, and hope that this provide you with some clarification. Have a nice day!

Answer:

The mean number of lessons for group A is greater than the mean for group B by 1 MAD

Step-by-step explanation:

Given the table :

_______Mean number of lessons ____ MAD

GRP A _____ 5 ___________________ 2

GRP B _____ 3 ___________________ 2

With group A having a mean number of lessons of 5 and Group B having a mean number of lessons of 3

Mean of A > mean of B ; hence, Group A dlgs tool more lessons to learn the trick than group B dogs.

The mean absolute deviation (MAD), measures how far a value is from the mean

Difference in mean number of lessons :

5 - 3 = 2

2 lessons ;

Number of mean absolute deviations:

Difference / MAD value = 2 / 2 = 1

Answer:

The mean number of lessons for group A is greater than the mean for group B by 1 MAD.

Step-by-step explanation:

Test approved

Answer:

Step-by-step explanation:

5.25

3.00

1.25

_____

$ 9.50

- 20.00

_______

$10.5

2/25

4/50

8/100

this are the smallest fractions equivalent to 8%

Answer:

8/100

Step-by-step explanation:

8% = 0.08 = 8/100

let me know if you need more of an explaination <33

Answer:

32.34

Step-by-step explanation:

9.35 + 9.35 + 6.82 + 6.82=32.34

Your welcome.

Answer:

b) The number of vinyl album sales in the country in the year 2020 will be 18.3 million.

Step-by-step explanation:

Given - The number of vinyl album sales (in millions) in a country x years after 2010 can be modeled by y = 0.12 x² + 0.3 x +3.3  for 2010 through 2016.

To find - Use this model to predict the number of vinyl album sales in the country in the year 2020 where  x = 10

a) The number of vinyl album sales in the country in the year 2020 will be 20.5 million.

b) The number of vinyl album sales in the country in the year 2020 will be 18.3 million.

c) The number of vinyl album sales in the country in the year 2020 will be 7.74 million.

d) The number of vinyl album sales in the country in the year 2020 will be 21.12 million.

Proof -

Given that,

The equation be - y = 0.12 x² + 0.3 x +3.3

Now,

Put x = 10 in above equation we get

y = 0.12×10² + 0.3×10 +3.3

  = 0.12×100 + 3 + 3.3

  = 12 + 6.3 = 18.3

⇒y = 18.3

∴ we get

The number of vinyl album sales in the country in the year 2020 will be 18.3 million.

So,

The correct option be - b) The number of vinyl album sales in the country in the year 2020 will be 18.3 million.

Answer:

400 sq cm

Step-by-step explanation:

20cm x 20cm

Answer:

$4.39 for 6 quartz

Step-by-step explanation:

if you multiply 2.89 by 2 it's more then 4.39

Answer:

2435 units

Step-by-step explanation:

Answer:

chale. necesita. 20 caracteres

Answer:

Step-by-step explanation:

Sry but I only did 1,2,5,6,7&8

But am not sure if am correct just try

Answer: 522.67 mm^3

Step-by-step explanation:

use formula

Answer:

13.825, 13, -13 25/40

Answer:

13.825, 13, and -13 25/40

Step-by-step explanation:

Hope this helps :)

Answer:

Rate = 10%

Step-by-step explanation:

Given:

Amount deposit = 25,000

Amount get = 26,250

Time = 6 month = 6 / 12 = 0.5 year

Find:

Rate

Computation:

Interest = Amount get - Amount deposit

Interest = 26,250 - 25,000

Interest = 1,250

Interest = P x R% x T

1,250 = 25,000 x R% x 0.5

Rate = 10%

Answer:

so the answer is 5

Step-by-step explanation:

the equation will be for this is

7x + 20 = 55

7x = 55-22

7x = 35

x = 35÷7

x=5

Answer:

16 oz

Step-by-step explanation:

the ratio is 3 oz of oj to 1 oz of seltzer.

I pretty much just divided 48 by 3.

I hope this is correct and I hope it helps you!

Answer:

x7

Step-by-step explanation:

Answer: force F = uN, u 0.34 and N = 8000 N also F = 2720 N, thus 4000 N is enough

It

Step-by-step explanation:

Answer:

10,000 i think....i hope this helps

Step-by-step explanation:

Answer:

0.73 = 73% probability that an attendee sits in on the information technology session or the social media session.

Step-by-step explanation:

What is the probability that an attendee sits in on the information technology session or the social media session?

They cant be in both sections simultaneously, so this probability is the sum of each probability.

0.11 = 11% probability that an attendee sits in on the information technology session

0.62 = 62% probability that an attendee sits in on the social media session

0.11 + 0.62 = 0.73

0.73 = 73% probability that an attendee sits in on the information technology session or the social media session.