Answer:
The length of swimming pool is 10 yards.
Step-by-step explanation:
Given,
Perimeter= 90 feet
Width= 5 yards
As we have to find the length in yards, therefore, we will convert perimeter in yards also.
As we know,
1 Yard = 3 feet
Therefore,
Dividing the perimeter by 3 to convert it into yards.
The formula of perimeter of rectangle is;
P= 2(l+w)
Putting values of perimeter and width;
The length of swimming pool is 10 yards.
Keywords: Perimeter, linear equation
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Solution :
The normal body temperature of any human body is considered to be 98.6. But there is a constant debate about the body temperature of a long held standard to the body temperature.
It is given that :
Null hypothesis and alternate hypothesis :
And
n is given as = 180
Test statistics = 3.64
Prove = 0.018 < α = 0.05 (let reject null hypothesis for α = 0.05 )
Therefore, their results are statistically significant and the result is unlikely due to chance alone.
Answer:
126°
Step-by-step explanation:
(2x +18)° = (3x)°
2x + 18 = 3x
18 = 3x - 2x
18 = x
therefore, (3x)° = (3*18)°= (54)°
Answer:
x =
Step-by-step explanation:
Given
-
=
← factor denominator
-
=
[ x ≠ 0, x ≠ - 1 as these would make the terms undefined ]
Multiply through by x(x + 1)
4x² - 5(x + 1) = 4
4x² - 5x - 4 = 4 ( subtract 4 from both sides )
4x² - 5x - 9 = 0 ← in standard form
(x + 1)(4x - 9) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
4x - 9 = 0 ⇒ 4x = 9 ⇒ x =
However, x ≠ - 1 for reason given above, then
solution is x =