Answer:
first blank = 39
second blank = 28
Step-by-step explanation:
11 + __ + 7 + 28 = 85 = 39 + __ + 11+ 7
since,, four terms add upto form 85 out of which two terms (11 and 7) are common. so, the first blank will be filled with 39 and second blank with 28.
Answer:
Length, x =25 ft
Max area, A = 1250 ft square
Step-by-step explanation:
A(x) = x(100 – 2x)
= 100x - 2x^2
To find the maximum value of A, we first find derivative of function of A to x
dA/dx = 100 - 4x
Find the critical value by dA/dx = 0
dA/dx = 100 - 4x = 0
100 - 4x = 0
4x = 100
Hence, the critical point x = 100/4 = 25
Find 2nd derivative to check if the equation has max value
d(dA)/dx^2 = -4
2nd derivative is negative, hence have maximum value
maximum value in this case is when the value of x = 25
The maximum area is therefore (substituting x = 25 into equation of A)
A = 25(100 - 2(25))
= 25(50)
= 1250 ft^2
Answer: The first answer in the screenshot is correct. Sides 5, 10 and 5√3
Step-by-step explanation: In a 30°60°-90° triangle, the side opposite the 30° angle (shortest side) is half the length of the hypotenuse. So you have to choose one with 5 & 10. Use the Pythagorean theorem to calculate the remaining side a² + b² = c²
5² + b² = 10², so b² = 100-25 √b²=√75 so √(25)(3)
b= 5√3
Answer: 33.42
Step-by-step explanation: i learned this
Answer:
x= 2y -30
5x-2y=10
Step-by-step explanation:
substitute x= 2y-30 into the 2nd equation
5(2y-30)-2y = 10
10y-150-2y=10
10y -150-2y= 10
8y-150=10
+150 +150
__________________________
8y= 160 so y =20 substitute y=20 into x=2y-30 so 40-30=10 so x=10 & y=20