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Ivan
2 years ago
15

5. a) Which of these numbers are perfect

Mathematics
2 answers:
jok3333 [9.3K]2 years ago
4 0

Answer:

Part A: 1 & 225, A number times itself equals a perfect Square.

Part B: No, 289 is NOT perfect square.

Step-by-step explanation:

Part A: 1*1=1, 15*15=225 (Perfect Squares)

Part B: Utilizing the Factor Rainbow one can see that the same number does not exist on both sides of the rainbow simultaneously.

Charra [1.4K]2 years ago
3 0

Answer and Eplainations:

i) 1 is a perfect square because 1 x 1  = 1

ii) 24 is not a perfect square because it is a natural number. Natural numbers cannot be squared.

iii) 225 is a perfect square 15 x 15 = 225

iv) 500 is not a perfect square it is an irrational number

289 is a perfect square because 17 x 17 = 289

the square root of 289 is 17 therefore it is a perfect square

A Tip that will help you with other problems like this any nunmber ending in 2, 3, 7, or 8 can never be a perfect square.

Hope this helps! Good luck!

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Convert the fraction to higher terms. Enter the value of the missing numerator. 3/11= /77?
lianna [129]

the answer is 21/77 because you multiplied 11 by 7 to get 77, you multiply 7 by which gives you 21/77
8 0
3 years ago
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The measure of one angle of an octagon is two times smaller that of the other seven angles. What is the measure of each angle?
Anestetic [448]

Answer:

7 of the angles measure 144 degrees each and one angle measures 72 degrees

Step-by-step explanation:

Let

x -----> represent the measures of the seven same-size angles,

x/2 ----> represent the measure of the one that is "two times smaller."

we know that

The sum of internal angles of a polygon can be calculated as:

S=180^o(n-2)

where

n is the number of sides of the polygon

In this case

n=8 (octagon)

substitute

S=180^o(8-2)=1,080^o

so

The linear equation that represent this problem is

\frac{x}{2}+7x=1,080

solve for x

\frac{15x}{2}=1,080\\\\15x=2,160\\\\x=144^o

so

\frac{x}{2}=72^o

therefore

7 of the angles measure 144 degrees each and one angle measures 72 degrees

7 0
2 years ago
37% of what number is 72?
tatiyna
The answer is 194.59

(72 x 100) / 37 = 194.59
4 0
2 years ago
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What is the power of x? <br> A) 2 <br> B) 3 <br> C) 6 <br> D) 7
Thepotemich [5.8K]

Answer:

A

Step-by-step explanation:

They are basically wanting the value of x.

These are 2 secant lines drawn. Secant Line is a line that intersects the circle at 2 points.

To solve this, we have to use secant-secant theorem.

Secant-Secant Power Theorem tells us that if 2 secant lines are drawn from external point (here, E) to a circle, then, product of measure of one secant's external part and total secant is equal to other secants external part and whole secant.

In algebra, that is:

(x+1)(x+1+11)=(x+4)(x+4+1)

Let's multiply and find the value of x:

(x+1)(x+1+11)=(x+4)(x+4+1)\\(x+1)(x+12)=(x+4)(x+5)\\x^2 + 13x + 12=x^2+9x+20\\13x+12=9x+20\\13x - 9x = 20 - 12\\4x = 8\\x = 2

Hence, the correct answer choice is A

8 0
3 years ago
I need help on these 2 problems
KIM [24]

Answer:

The answer to 17 is -8. 2+ = 10 - 12 = -2*4 = -8.

The answer to 18 is 28. 4^2 = 16, 7 + 1 = 9 + 3 = 12, 16 + 12 = 28.

Step-by-step explanation:

3 0
3 years ago
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