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andre [41]
3 years ago
11

Instructions

Mathematics
1 answer:
Gnoma [55]3 years ago
7 0
Lets just choose the first one, 3 4 and 5. According to the Pythagorean Theorem,
a^2+b^2=c^2

So lets plug in our numbers.

3^2+4^2=c^2

The answer should be 5, but lets make sure.

3*3 = 9
4*4 = 16
9+16=c^2
25 = c^2
Square root both sides so:
5=c
And sure enough 5 is the last number on that list. The order doesn’t matter as long as the value you are trying to find is the c^2.
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Type the correct answer in each box. Consider the sum of cubes identity: a3 + b3 = (a + b)(a2 − ab + b2). For the polynomial 8x3
zhuklara [117]

Answer:

a = 2x, b = 3.

Step-by-step explanation:

8x^3+27 = (2x)^3 + 3^3

a = 2x and b = 3.

We can cube root 8x^3 getting 2x and cube root 27 getting 3.

4 0
3 years ago
40 is 80% of what number?
agasfer [191]

Answer:

50

Step-by-step explanation:

.80n = 40

n = 40 divided by .80

40/8/10  = 400 / 80 = 50

Best Of Luck,

- I.A. -

6 0
3 years ago
The side of a square measures (2x − 5) units. Part A: What is the expression that represents the area of the square? Show your w
kolbaska11 [484]

A. The area of a square is given as:

<span>A = s^2 </span>

Where s is a measure of a side of a square. s = (2 x – 5) therefore,

<span>A = (2 x – 5)^2                   </span>

Expanding,

A = 4 x^2 – 20 x + 25

 

<span>B. The degree of a polynomial is the highest exponent of the variable x, in this case 2. Therefore the expression obtained in part A is of 2nd degree.</span>

Furthermore, polynomials are classified according to the number of terms in the expression. There are 3 terms in the expression therefore it is classified as a trinomial.

 

<span>C. The closure property demonstrates that during multiplication or division, the coefficients and power of the variables are affected while during multiplication or division, only the coefficients are affected while the power remain the same.</span>

5 0
3 years ago
The company A produces products a, and the company B produces products b. It is known that 3 percent of companies that produce p
jeka94

Answer:

0.00183

Step-by-step explanation:

The two companies produce different products and the chance to go bankrupt will be different based on the product made. So, the probability of the company A and B to go bankrupt is independent.  

To find the answer of this question, we just need to multiply the probability to go bankrupt of each company. The calculation will be:

P(A=bankrupt) * P(B=bankrupt)= 3% * 6.1% =0.183%= 0.00183

5 0
3 years ago
What is the sum of the first five terms of a geometric series with a1 = 6 and r = 1/3? Express your answer as an improper fracti
Likurg_2 [28]

Answer:

  242/27

Step-by-step explanation:

Using the formula for the sum, you can fill in the given values and do the arithmetic.

  Sn = a1·(r^n -1)/(r -1)

  S5 = 6·((1/3)^5 -1)/(1/3 -1) = 6(-242/243)/(-2/3) = 6·(121/81)

  S5 = 242/27

_____

Or, you can write the terms and add them up. The sum is ...

  6 + 2 + 2/3 + 2/9 + 2/27 = (162 +54 +18 +6 +2)/27 = 242/27

5 0
3 years ago
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