Answer:
A) B and C
Step-by-step explanation:
To find the perimeter, add up the lengths of all the sides.
For shape A: 16+16+1+1= 34
For shape B: 8+8+2+2= 20
For shape C: 5+5+5+5= 20
Shapes B and C both have a perimeter of 20. The answer is A, B and C.
I hope this helps!
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The other answer is not correct because they are finding the area of the rectangles.
Answer:
It takes 70 minutes for 9 team members (painting 60 sq ft per minute) to paint a 4200 sq ft wall.
Step-by-step explanation:
4800 ÷ 20 = 240 sq ft per team member in 36 minutes
240 ÷ 36 = 6.67 sq ft per team member in 1 minute
6.67 × 9 = 60 sq ft per 9 team members in 1 minute
4200 ÷ 60 = 70 minutes (or 1 hour and 10 minutes)
<u>Answer:</u>
Total Volume of composite figure = 635.2 cm³
<u>Steps:</u>
CV = h×3.14×(d/2)²
CV = 5×3.14(8/2)²
CV = 5×3.14(4)²
CV = 5×3.14×16
CV = 5×50.24
CV = 251.2 cm³
RV = h×w×l
RV = 4×8×12
RV = 4×96
RV = 384 cm³
TV = CV + RV
TV = 251.2 + 384
TV = 635.2 cm³
The slope of AC is -0.4
Proof:
In triangles ABC and DBE,
∠DBE is common to both triangles.
AB = 2DB (D is the midpoint of the interval AB)
Also, BC = 2BE (E is the midpoint of the interval BC)
Thus triangles ABC and DBE are similar in the ratio 2:1
Since, they are similar, ∠BDE must equal ∠BAC (corresponding angles in similar triangles)
If ∠BDE = ∠BAC, DE must be parallel to AC (corresponding angles are equal along parallel lines)
Thus, the slope of AC = the slope of DE
Thus, the slope of AC is -0.4
