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3 years ago

if the side length of a square can be represented by 4x + 4 and its area is 1024 square units, find the value of x

Mathematics

2 answers:

dangina [55]3 years ago

6 0

Answer:

x = 7

Step-by-step explanation:

A = 1024

side length of a square = 4x + 4

A = s²

s = √A

s = √1024

s = 32

using the side length to get the value of x

s = 32

4x + 4 = 32

4x = 32 - 4

x = 28 / 4

x = 7

check:

A = side length * side length

A = (4x + 4) * (4x + 4)

A = (4*7 + 4) * (4*7 + 4)

A = 32 * 32

A = 1024 ok

svetoff [14.1K]3 years ago

4 0

Answer:

x = 7

Step-by-step explanation:

Since it’s the area of a square, we can simply do square root of 1024. (Because to get area of square you do side x side). Which is 32.

So basically 4x + 4 = 32... x = 7

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Pedro thinks that he has a special relationship with the number 3. In particular, Pedro thinks that he would roll a 3 with a fai

anyanavicka [17]

Answer:

p value = 0.3122

Step-by-step explanation:

Given that Pedro thinks that he has a special relationship with the number 3. In particular,

Normally for a die to show 3, probability p = $\frac{1}{6} =0.1667$

Or proportion p = 0.1667

Pedro claims that this probability is more than 0.1667

$H_0 = P =0.1667______H_a = P>0.1667_____$

where P is the sample proportion.

b) n=30 and $P = 6/30 =0.20$

Mean difference = $0.2-0.1667=0.0333$

Std error for proportion = $\sqrt{\frac{p(1-p)}{n} } \\=0.0681$

Test statistic Z = p difference/std error = 0.4894

p value = 0.3122

p >0.05

So not significant difference between the two proportions.

7 0

2 years ago

Explain which hill is steeper: a hill woth rise of 5 and a run of 3 of a hill with rise of 3 and a run of 5.

Sergio039 [100]

Hill with rise of 5 and run of 3

8 0

3 years ago

Candy's Sweets Company charges $1.15 per pound to ship candy.

allochka39001 [22]

Answer:

Part A:

c = 1.15p

c(2) = $2.30

Part B:

c = 0.90p

Part B:

Step-by-step explanation:

Linear Models

Candy's Sweets Company charges $1.15 per pound to ship candy. This represents a proportional relationship between the pounds of candy and the cost.

Part A: If each pound costs $1.15, then p pounds cost $1.15p. Then the equation of the cost c is:

c = 1.15p

The cost of shipping p=2 pounds of candy is:

c = 1.15*2 = 2.30

c = $2.30

Part B: When the company reduces the cost by $0.25 per pound, the new unit cost is $1.15 - $0.25 = $0.90 per pound.

The new equation to determine the total cost for p pounds of candy is:

c = 0.90p

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2 years ago

Find the greatest common factor of x^2y and xy^2

Dimas [21]

1. Find the H.C.F. of 4x2y3 and 6xy2z.
Solution:
The H.C.F. of numerical coefficients = The H.C.F. of 4 and 6.
Since, 4 = 2 × 2 = 22 and 6 = 2 × 3 = 21 × 31
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3 years ago

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mina [271]

Step-by-step explanation:

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3 years ago