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
Answer:
Step-by-step explanation:
rational number
Answer:
220.5
Step-by-step explanation:
First, we can figure out the half circle. The area for that is pi times r squared divided by 2. So the area is 8 squared times pi divided by 2. So 64 divided by 2 is 32. 32 times pi is 100.530964915. We can round that to 100.5 and now the rectangle is 8 times 15. Which is 120. So 120 plus 100.5 is 220.5! I hope this helps! Please mark me Brainliest!!!
Answer:
Step-by-step explanation:
1. Subtract 10 from both sides. Then:
2. Divide both sides by -2. Notice that the direction of the symbol of the inequality will change. Then:
3. Add 22 to both sides. Then:
4. Divide both sides by -7. Notice that the direction of the symbol of the inequality will change. Then:
5. Subtract 30 from both sides. Then:
6. Divide both sides by -5. Notice that the direction of the symbol of the inequality will change. Then:
7. Subtract 13 from both sides. Then:
8. Add 12 to both sides. Then:
Answer:
Step-by-step explanation:
Let the four consecutive integers be
x ,x+1,x+2,x+3
According to the given statement the sum of 2nd and 4th is 48 so,
x+1+x+3=48
2x+4=48
2x=44
x=22
So the four consecutive integers are
x=22,
x+1=23,
x+2=24,
x+3=25
