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vazorg [7]
4 years ago
14

Please help me out. A square has an area of 90 square inches. Which two consecutive integers does a side length of the square fa

ll between?
The side length of a square with an area of 90 square inches falls between the integers
A and
B .

Mathematics
1 answer:
LuckyWell [14K]4 years ago
6 0

Answer:

9 and 10

Step-by-step explanation:

Area of a square = s², where s = side length

Given that the square has an area of 90 in², the side length (s) of the square = √90.

Thus, 90 is not a perfect square and it's square root won't give us an integer.

Thus, √90 lies between two perfect squares namely, 81 and 100.

Therefore, the side length of the square would be:

√81 < √90 < √100

9 < √90 < 10.

The side length of the square lies between 9 and 10.

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What is 2/3 ^4 as a fraction simplified? pls, I need it fast.
Katyanochek1 [597]

Answer: 16/81

Step-by-step explanation:

2/3 × 2/3 × 2/3 × 2/3

= 16/81

3 0
3 years ago
Jason opened an account at MathsWatch Bank. MathsWatch Bank’s interest rate was 4%. After one year, the bank paid him interest.
8_murik_8 [283]

Answer:

1900

Step-by-step explanation:

let the deposit amount=x

interest=4%

total percent =100

after adding interest percentage=100+4=104%

X x 104/100=1976

x=1976 x 100/104=1900

7 0
4 years ago
Is this answer correct?
hodyreva [135]

Answer:

No

Step-by-step explanation:

How to solve :

(a-4)/(a^2+8a+12)*(a^2-2a-48)/(a^2+4a-32)

Factor:

a^2+8a+12 = (a+6)(a+2)

a^2-2a-48 = (a-8)(a+6)

a^2+4a-32 = (a+8)(a-4)

simplify a+6, and a-4

you are left with (a-8)/(a+2)(a+8) = (a-8)/(a^2+10x+16)

8 0
3 years ago
What is the distance between P(0, 14) and Q(5, -2)?
Sophie [7]
P(x₁ , y₁) and Q(x₂ , y₂) ↔ [ P(0,14)    Q(5, - 2)]
Distance = PQ = √[(x₂ - x₁)² + (y₂ - y₁))²]

PQ = √[(5 - 0)² + (- 2 - 14)²]

PQ =  √[(25 + 256]

PQ =  √281

PQ = 17.76

3 0
4 years ago
Sidney has 4 hats and 2 scarves in a drawer. All the hats are the same size, shape, and material. Both scarves are the same size
hichkok12 [17]

Answer:

P(White\ n\ Blue) = \frac{1}{8}

Step-by-step explanation:

Given

Scarves: 1 green; 1 white

Hats: 1 blue; 1 red; 1 yellow; 1 purple

Required

Determine the probability of 1 blue hat and 1 white scarf

First, we need to determine the probability of blue hat

Total\ Hats = 4

Blue\ Hats = 1

Hence;

P(Blue) = \frac{1}{4}

Next, we determine probability of white scarf

Total\ Scarfs = 2

White\ Scarfs = 1

P(White) = \frac{1}{2}

Calculating the required probability;

P(White\ n\ Blue) = P(White) * P(Blue)

P(White\ n\ Blue) = \frac{1}{4} * \frac{1}{2}

P(White\ n\ Blue) = \frac{1}{8}

6 0
3 years ago
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