Answer:
Step-by-step explanation:
Hypotenuse² =base² + altitude²
(3x + 4)² = (2x + 1)² + (3x)²
{Use (a+b)² = a² + 2ab + b²}
(3x)² + 2*3x+4 + 4² = (2x)² + 2*2x*1 + 1² + 9x²
9x² + 24x + 16 = 4x² + 4x + 1 + 9x²
9x² + 24x + 16 = 13x² + 4x + 1
0 = 13x² + 4x + 1 - 9x² - 24x - 16
13x² - 9x² + 4x - 24x +1 - 16 = 0
4x² - 20x - 15 = 0
a = 4 ; b =-20 ; c = -15
D = b² - 4ac = (-20)² - 4*4*(-15) = 400 + 240 = 640
√D = √640 = 25.30
x = 5 .66 ; x = -0.66
Ignore x = -0.66 as length of a side cannot be negative
Answer : x = 5.66
Answer:
Maximum area = 800 square feet.
Step-by-step explanation:
In the figure attached,
Rectangle is showing width = x ft and the side towards garage is not to be fenced.
Length of the fence has been given as 80 ft.
Therefore, length of the fence = Sum of all three sides of the rectangle to be fenced
80 = x + x + y
80 = 2x + y
y = (80 - 2x)
Now area of the rectangle A = xy
Or function that represents the area of the rectangle is,
A(x) = x(80 - 2x)
A(x) = 80x - 2x²
To find the maximum area we will take the derivative of the function with respect to x and equate it to zero.
= 80 - 4x
A'(x) = 80 - 4x = 0
4x = 80
x = 
x = 20
Therefore, for x = 20 ft area of the rectangular patio will be maximum.
A(20) = 80×(20) - 2×(20)²
= 1600 - 800
= 800 square feet
Maximum area of the patio is 800 square feet.
Answer:
(B)
Step-by-step explanation:
Interest accrued is defined as the interest which we need to pay at the end of some time span. The interest accrued may be on daily basis as well as on monthly basis.
For calculating the interest accrued, we first multiply the principal amount with APR, this will give the interest of one year.
Then we will multiply it with the no. of months on which the interest is being calculated and divide it by total no. of months.
This will give the interest accrued every month.
When calculating interest accrued, you should <u>multiply the principal by the APR and number of months, then divide by the total number of months in the year.</u>
Answer:
35° (I may be wrong)
Step-by-step explanation:
An isosceles triangle has an interior angle sum of 180° (like all triangles).
So...
180°-40°= 140°
And because we know that isoceles triangles and two congruent sides, we just have to divide 140° by 2.
140°÷2=70°
But the picture says 2h and h is a side so...
70°÷2=35°
Answer:
2.5 feet bud hope it helps
