Answer:
Step-by-step explanation:
pythagorean theorem. a^2+b^2=c^2
1.5^2+b^2=6^2
2.25+b^2=12
12-2.25=b^2
b^2=9.75
take the square root
b=3.12
Jim's backyard:
15 5/6 yd long
10 2/5 yd wide
Sod pieced:
1 1/3 yd long
1 1/3 yd wide
Area of backyard:
15 5/6 times 10 2/5 =
164 2/3 yd
Area of Sod Piece:
1 1/3 times 1 1/3 =
1 7/9 yd
Divide area of backyard by area of sod piece :
164 2/3 divided by 1 7/9 =
92 5/8
He will need to buy 93 pieces of sod to cover his backyard.
Answer:
-$2,419.69
Step-by-step explanation:
Kate gets a paycheck twice per month.
However, $345.67 is deducted for taxes.
Kate has been paid 7 paychecks.
345.67 x -7= -2,419.69
$2,419.69 has been deducted, so that should be negative.
Answer:
-$2,419.69
Answer:
Step-by-step explanation:
10x^3 + 35x^2 - 4x - 14
5x^2(2x + 7) - 2(2x + 7)
(5x^2 - 2)(2x + 7)
Answer:
Yes
Step-by-step explanation:
A proportional relationship between a quantity y and a quantity x that has a constant of proportionality k is represented by the equation y = kx. If an equation in a different form can be rewritten as above, then it is a proportional relationship.