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Answer:
3/5 + 7/10 = 6/10 + 7/10 = 13/10 = 1 and 3/10 lbs. needed
She has 4/5 *3/1 bags = 12/5 = 2 and 2/5 pounds
2 2/5 - 1 3/10 = 2 4/10 - 1 3/10 = 1 and 1/10 pounds left over
Hey there!
First solving the equation 2^3 . . .
To solve 2^3, multiply the number 2 three times:
2 x 2 x 2 = 8
To find area, multiply the two sides . . .
(Since a square has all sides the same length, multiply 8 x 8)
8 x 8 = 64 <-------
The area of the shape is 64 inches.
Hope this helps you.
Have a great day!
Answer:
Option A: P ≈ 38.7 in, A ≈ 63.7 in²
Step-by-step explanation:
We are told that △MNO ~△DEF. This means that they are similar triangles.
We can solve for this using scale factor.
a) Perimeter of △MNO
The scale factor of two similar triangles is equal to the ratio of the perimeter of the triangles
Scale factor(k) = ratio of the sides of the triangles
In the diagram we are given
Side of △MNO = 6.7in
Side of △DEF = 9in
Perimeter of △MNO = X
Perimeter of △DEF = 52in
Scale factor (k) = 6.7/9
Hence,
6.7/ 9 = X/52
Cross Multiply
9X = 6.7 × 52
X = 6.7 × 52/9
X = 38.711111111 inches
To the nearest tenth, Perimeter of △MNO = 38.7 inches
b) Area of △MNO
The square of the scale factor of two similar triangles is equal to the ratio of area of the triangles
Scale factor(k) = ratio of the sides of the triangles
In the diagram we are given
Side of △MNO = 6.7in
Side of △DEF = 9in
Area of △MNO = Y
Area of △DEF = 115in²
Scale factor (k) = 6.7/9
Hence,
(6.7/ 9)² = Y/115
6.7²/9² = Y / 115
Cross Multiply
9² × Y = 6.7² × 115
Y = 6.7²× 115 /9²
Y = 63.732716049 square inches
To the nearest tenth, Area of △MNO = 63.7 in²
