1. The problem says that the stone covers 29.26 square inches. So, the first thing you must do, is to convert 29.26 square inches (in²) to square feet (ft²):
1 in²=0.00694 ft², then:
29.26x0.00694= 0.20 ft²
2. The triangular area has the following surface:
A=bxh/2
A=(6 ft)(8 ft)/2
A=24.0 ft²
3. <span> Finally, the number of stones (N) that cover the triangular area is:
</span>
N= 24.0 ft²/0.20 ft²
N=120 stones
Answer: <span>Kiana should buy 120 stones to cover the triangular area in her backyard.</span>
Answer: 8
Step-by-step explanation: Speed is distance/time
18/3 = 6 miles per hour running
18/2 = 9 miles per hour biking
3 hour bike = 27 miles
1.50 hour run (0.50 because 30 minutes is half of an hour) = 9 miles
27 + 9/3 + 1.50 = 36/4.5 or 8
I think it's commutative property of addition (you can change order of addition but in the end it would be the same)
( y - 4 ) ( y² + 4 y + 16 ) = y³ + 4 y² + 16 y - 4 y² - 16 y - 64
The result is a polynomial of the form:
y³ + 4 y² + a y - 4 y² - a y + 64;
Answer: a = 16
Answer:
Step-by-step explanation:
g(m) = 0
2-4m=0
2=4m
2/4=m
1/2=m------(1
p(1/2)= -3(1/2) - { 2(1/2) + (5- 1/2) } +7
= -3/2 - { 1 + 9/2} +7
= -3/2 - ( 11/2) +7
=-14/2 +7
= -14 + 14 /2
= 0/2
= 0...
since p(m)= 0,
we can say that g(m) is a factor of p(m)
hence, it has been simplified correctly...
