Hello from MrBillDoesMath!
Answer:
b2 = 5
Discussion:
A = 1/2 h (b1 + b2)
.
Substituting A = 16, h = 4, and b1=3 in the above formula gives:
16 = (1/2) (4)( 3 + b2) => (as (1/2)4 = 2) )
16 = 2 ( 3 + b2) => (divide both sides by 2)
8 = (3 + b2) => (subtract 3 from both sides)
8-3 = b2 =>
5 = b2
Check Area formula:
Does A = 16 = (1/2)(4)(3+5) ?
Does 16 = (1/2) (4)(8) ?
Does 16 = (1/2)(32) ? Yes it does so our calculation for b2 is correct
Thank you,
MrB
Answer: D. ( -7, - 2 )
Step-by-step explanation:
Rewrite this in vertex form and use this to find the vertex. ( h, k )
Answer:
500 lbs of mixed nuts
Step-by-step explanation:
15.4% of mixed nuts = 77 lbs of pecans
Divide the weight of pecans by the percent of mixed nuts to find how many pounds of pecans equal 1% of the mixed nuts:
77 / 15.4 = 5, so 5 lbs equals 1% of mixed nuts
Now multiply that number by 100 to get 100% of mixed nuts:
5 x 100 = 500
Therefore, there are 500 lbs of mixed nuts in a batch altogether.
To check, 15.4% = 15.4/100 = 0.514
Therefore, 15.4% of 500 = 0.514 x 500 = 77
Thereby proving that 15.4% of 500 is 77.
Answer:
y =14
11x = 11*3.5 =38.5
3x+2y = 11x = 38.5
Step-by-step explanation:
The perimeter of a triangle is the sum of all three sides
3x+2y + 11x+y = 91
Combine like terms
14x +3y = 91
The lines mean the sides are equal
3x+2y = 11x
Simplify
Subtract 3x from each side
3x-3x+2y = 11x-3x
2y = 8x
Divide by 2
2y/2 = 8x/2
y = 4x
Substitute 4x in the first equation every time you see y
14x +3y = 91
14x +3(4x) = 91
14x+12x=91
26x = 91
Divide by 26
26x/26 =91/26
x = 3.5
Now we can find y
y = 4x
y = 4(3.5)
y = 14
We know x and y we can find the length of each of the sides
y =14
11x = 11*3.5 =38.5
3x+2y = 11x = 38.5
Answer:
The 2nd one/Green
Step-by-step explanation:
A plane figure with five straight sides and five angles.