Answer:
is the resulting expression after grouping
Step-by-step explanation:
Given:
Now taking common 
from 1st 2 numbers and and 3 common from last we get
Now taking x-3 common from both numbers we get
which is the final equation after grouping
Answer:
A = 1.77 ft^2
Step-by-step explanation:
The circle has a diameter of 1.5 ft
We need the radius
r = d/2 = 1.5/2 = .75 ft
The area of a circle is
A = pi r^2
A = 3.14 ( .75)^2 = 1.76625
To the nearest hundredth
A = 1.77 ft^2
Answer:
Area = length * width
112 = (2w+2)*w
112 = 2w^2 + 2w
0 =2w^2 + 2w - 112
0 = w^2 + w - 56
0 = ( w + 8 )( w - 7 )
w+8=0 results in negative measures
w-7=0 --> w = 7
width is 7
length is 16
Answer:
About 24 months
Step-by-step explanation:
1000-20= 980
980/40= 24.5
Answer:
64
Step-by-step explanation:
Find the area of both triangles inside the bigger triangle and add them together.
Use the Pythagorean theorem to find the missing length of the leg in the smallest triangle:
a² + b² = c²
8² + b² = 10²
64 + b² = 100
36 = b²
6 = b
Calculate the area of the smaller triangle:
1/2(<em>b</em>x<em>h</em>)
1/2(6 x 8)
1/2(48)
24
Calculate the area of the bigger triangle:
<em>We know that the longer leg is 10 units because we were able to subtract the length of the smaller triangle's leg from 16.</em>
1/2(<em>b</em>x<em>h</em>)
1/2(10 x 8)
1/2(80)
40
Add both areas to find the area of the largest triangle:
40 + 24 = 64
