Answer:
Area of resulting triangle will be 900 
.
Step-by-step explanation:
When sides of any polygon if scaled by a factor of k
then area is scaled by 
According to the above statement
therefore here in the question since area of original triangle was 36
and both base and height are scaled by a factor of 5.
therefore area of scaled triangle will be 
times of the original
that is 25 x 36 which gives 900
So area of resulting triangle will be 900
Answer:
Here's what we know:
A = Lw (Area is length times width)
L = 2w + 6 (length is twice the width plus 6)
A = 140 (Area is 140 m2)
Plug in the variable values:
140 = w(2w + 6)
Distribute:
140 = 2w2 + 6w
Subtract 140:
2w2 + 6w - 140 = 0
Factor out a 2:
2(w2 + 3w - 70) = 0
Divide both sides by 2:
w2 + 3w - 70 = 0
(w + m)(w - n)
When we factor out the quadratic, we know it's going to be a +/- situation because the c value in the quadratic is negative, and the two numbers are going to be three away, the plus next to the 3 meaning that the larger number is going to be positive:
(w + 10)(w - 7) = 0
w = -10, 7
We can't have a negative length, so we can toss out the -10, leaving us with w = 7 meters.
L = 2 * 7 + 6
L = 14 + 6
L = 20
Check:
140 = 20 * 7
140 = 140
The best thing to do is to rewrite the fractions as decimals
-2/3 is approx. equal to -0.6666667
So a little past half way (to the left) between -1 and 0
1 1/5 is 1.5 so that is right between 1 and 2
Hope this helps :)
Answer:
a) 4 1/10 slices eaten
b) cannot be solved because we don't know how many slices in each pizza
Step-by-step explanation:
5*1/10=5/10
12*3/10=36/10
36/10+5/10=41/10
41/10=4 1/10 slices
