Answer:
85
Step-by-step explanation:
think about the diagonal of the frame, breaking up a rectangle into 2 right angled triangles. we are already given the legs of the triangle (77, and 36) and now we have to solve fro the hypotenuse (or the diagonal). so use pythagorean theorem :
77^2 + 36^2 = c^2
7225 = c^2
c = 85
Answer:
see explanation
Step-by-step explanation:
(a)
y = 
- bx
substitute y = 6 , x = 1 into the equation
6 = a - b → (1)
substitute y = 0 , x = 2 into the equation
0 = 
- 2b ( multiply through by 2 to clear the fraction )
0 = a - 4b → (2)
multiply (1) by - 4
- 24 = - 4a + 4b → (3)
add (2) and (3) term by term to eliminate b
- 24 = - 3a + 0
- 24 = - 3a ( divide both sides by - 3 )
8 = a
substitute a = 8 into (1) and solve for b
6 = 8 - b ( subtract 8 from both sides )
- 2 = - b ( multiply both sides by - 1 )
2 = b
Then a = 8 and b = 2
(b)
when x = 4
y = 
- 2(2) = 2 - 4 = - 2
A.) 21/50
B.) 0.12
C.) 25%
Hope these are correct. ^-^
Answer:
48.6 quart of fertilizer
Step-by-step explanation:
The directions say to use 4/5 of a quart of fertilizer for each acre of land.
Alan has two fields,
Field 1
22 1/2 acre of land
1 acre of land = 4/5 quart
22 1/2 acre of land = x
Cross Multiply
x = 22 1/2 × 4/5
x = 45/2 × 4/5
x = 18 quart of fertilizer
Field 2
38 1/4 acres of land
1 acre of land = 4/5 quart
38 1/4 acre of land = x
Cross Multiply
x = 38 1/4 × 4/5
x = 153/4 × 4/5
x = 30.6 quart of fertilizer
The total fertilizer that Alan will need for his two fields is calculated as:
18 quart of fertilizer + 30.6 quart of fertilizer
= 48.6 quart of fertilizer
