The length of a side of square is 5.
Step-by-step explanation:
Given,
Area of square = a²
Perimeter of square = 4a
According to given statement;
Area of square = Perimeter + 5

Factorizing the equation;

Either,
a-5=0 => a=5
Or,
a+1=0 => a= -1
As length of a side cannot be negative, therefore,
Length of a side of square = 5
The length of a side of square is 5.
Keywords: area, perimeter
Learn more about perimeter at:
#LearnwithBrainly
Answer:
x = 3.53 ft
y - 3.53 ft
z = 3.53 ft
Step-by-step explanation:
given details
volume = 44 ft^3
let cardboard dimension is x and y and height be z
we know that area of given cardboard without lid is given as
A = xy + 2xy + 2yz
xyz = 44 ft^3
To minimize area we have
A = xy + 2x (44/xy) + 2y(44/xy)
A = xy + (44/y) + (44/x)
we have

................1


..............2
from 1 and 2

xy(y-x) = 0
xy = 0 or y = x
from geometry of probelem
x ≠ 0 and y ≠ 0
so y = x
x^3 = 44
x = 3.53 ft = y
z = 44/xy = 3.53
Answer:
Step-by-step explanation:
From the information given,
Mean, μ = (10.31 + 17.22 + 26.62 + 22.84)/4 = 19.2475
Standard deviation, σ = √summation(x - mean)/n
Summation(x - mean) = (10.31 - 19.2475)^2+ (17.22 - 19.2475)^2 + (26.62 - 19.2475)^2 + (22.84 - 19.2475)^2 = 151.249475
σ = √(151.249475/4)
σ = 6.15
number of sample, n = 4
The z score for 98% confidence interval is 2.33
We will apply the formula
Confidence interval
= mean ± z ×standard deviation/√n
It becomes
19.2475 ± 2.33 × 6.15/√4
= 19.2475 ± 2.33 × 3.075
= 19.2475 ± 7.16
The lower end of the confidence interval is 19.2475 - 7.16 = 12.09
The upper end of the confidence interval is 19.2475 + 7.16 = 26.41
2x+x+90=180
3x+90=180 subtract 90 both sides
3x=90 divide by 3 both sides
x=30
x is congruent to 2y
2y=30 divide by 2 both sides
y= 15
z+30=180 subtract 30 both sides
z=150
Hello There!
1
+ 2
= 4
First, when we are trying to find the sum of a mixed number, I always add the natural numbers first meaning that the numbers before the fraction so I would add 1 and 2 together so we get a sum of 3 and now we are left with just a plain fraction.
Next, I find the least common denominator which is the smallest number that can be a common denominator for a set of fractions. Our lowest common denominator is 8 because
=
.
Then, we add our fractions with the denominator of 8 together and get a sum of 9/8 which we can turn into a mixed number because the numerator is bigger than our denominator.
Our mixed number turns into 1 and 1/8 and we add 4 to it because that was the sum of our natural numbers and get a sum of 4 and 1/8
ANSWER 4 1/8