Answer:
12.57
Step-by-step explanation:
Answer:
Length = 6 inches, Width = 10 inches
Step-by-step explanation:
A rectangular roof shingle has a perimeter of 32 inches and an area of 60 square inches. What are the dimensions of the shingle?
Note :
L = Length
W = Width
The perimeter of a rectangle = 2( L + W)
The area of a rectangle = LW.
A rectangular roof shingle has a perimeter of 32 inches and an area of 60 square inches.
32 = 2( L + W)
Divide both sides by 2
16 = L + W.... Equation 1
L = 16 - W
Also:
LW = 60....... Equation 2
Let us substitute 16 - W for L in Equation 2
(16 - W)W = 60
16W - W² = 60
W² - 16W + 60 = 0
W² - 6W - 10W + 60 = 0
W(W - 6) - 10(W - 6) = 0
W - 6 = 0, W = 6 inches
W - 10 = 0, W = 10 inches
Solving for L
W = 10
L = 16 - 10
L = 6 inches
Therefore, the dimensions of the shingle =
Length = 6 inches, Width = 10 inches
You multiply top and bottom of the fraction by the conjugate of 5 - √2 which is 5 + √2. This produces a rational denominator:-
= √7 ( 5 + √2) / (5 - √2)(5 + √2)
= √7 ( 5 + √2) / (25 -2)
= (√7 ( 5 + √2)) / 23 answer
Independent variables are things that can stand alone. Which set of these variables does not rely on each other? For example the income and savings. I want 1,000,000 in my savings account, however my income is not nearly that high since I only make 19,000. Look at the other pairs and see if there is a correlation between them.
The alternative and null hypotheses is given below,
Null Hypothesis, H0: μ1 - μ2 = 0
Alternative Hypothesis, Ha: μ1 - μ2 < 0
Compound Variance is given as,
sp = sqrt( s12n1+s22n2)
sp = sqrt(16973 + 112.3673)
sp = 1.9632
Test statistic of z is,
z = (x1bar - x2bar)/sp
z = (69 - 71)/1.9632
z = -1.02
P-value Approach, P=0.1539 as long as P>= 0.
As P-value >= 0.01, failing to rule out the null hypothesis.
<h3>
What is known as a decimal mark?</h3>
To differentiate between a whole number and its fractional component, a decimal point is used either as a point or a dot. It is also referred to as a decimal mark. The symbol for the decimal point is (.). In daily life, decimals are also frequently used. That whenever a shirt costs $10.50, for instance, the price can be written as 10.50.
To learn more about decimal point, Visit brainly.com/question/14938802
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