For this, we need to find the lowest common multiple of 12 and 15....
common multiples of 12 : 12,24,36,48,60
common multiples of 15 : 15,30,45,60
LCM = 60
the caller that will be the first to win both is the 60th caller
Answer:
yes
Step-by-step explanation:
.................................
Answer: Smaller side = 14ft
middle side = 33ft
Larger side = 37ft
Step-by-step explanation:
This triangle has 3 sides, defined by the variables:
S = length of the smallest side.
M = length of the middle side.
L = length of the larger side.
And the perimeter of a triangle is equal to the addition of the length of each side of the triangle.
We also know that:
M = 5ft + 2*S
L = 3*S - 5ft
84ft = S + M + L.
The first step is to replace the first and the second equation into the third, so we can solve it for S.
84ft = S + (5ft + 2*S) + (3*S - 5ft)
84ft = 6*S
84ft = 6*S
84ft/6 = 14ft = S.
Now that we found the length of the shorter side, we can replace it in the above equations to find the length of the other two sides:
M = 5ft + 2*S = 5ft + 2*14ft = 33ft
L = 3*S - 5ft = 37ft
Answers:
- Enlargement
- The new larger rectangle is 16.8 inches by 8.4 inches
==============================================================
Explanation:
I'm assuming 7/5 is the scale factor. If so, notice how 7/5 = 1.4 which is larger than 1.
The scale factor being larger than 1 means we have an enlargement.
The image is going to be larger compared to the preimage.
The preimage rectangle is 12 in by 6 in. Multiply each dimension by 1.4 to get 12*1.4 = 16.8 and 6*1.4 = 8.4
The image rectangle is 16.8 inches by 8.4 inches
