Answer:
- <u>First choice, 984 cm²</u>
Explanation:
The plastic pencil case has form of a triangular prism.
This triangular prism has five faces:
- Top and bottom faces: two congruent triangles with a 10 cm base and 12 cm height.
- Lateral faces: two congruent rectangles with a 24 cm length and 13 cm widht, and one rectangle with 24 cm length and 10 cm widht.
<u>Surface area:</u>
- <u>Top and bottom triangles</u>:
area = (1/2) base × height
area of one triangle = 10 cm × 12 cm × (1/2) = 60 cm²
area of the two triangles = 2 × 60 cm² = 120 cm²
- <u>Lateral rectangles:</u>
area of a rectangle = length × width
area of the trhee triangles = 24 cm × 10 cm + 2 × 24 cm × 13 cm = 240 cm² + 624 cm² = 864 cm².
- <u>Total area: </u>120 cm² + 864 cm² = 984 cm²
Answer: first choice, 984 cm²
Answer:
1.11
Step-by-step explanation:
First, you ignore the absolute value sign and subtract normally: –9.23 – 1.79 = -11.02, –7.34 – 2.57 = -9.91. Then now you add the absolute value to the numbers: |-11.02| - |-9.91| = 11.02 - 9.91 = 1.11.
Lines BC are equal to or congruent to AD, because the tick marks show they are equal to each other in size. Therefore, they are congruent.
Answer:
Step-by-step explanation:
This is actually pretty simple. If x= a person, then 2x is men, and x is women.
You just have to solve for x.
714=2x+x
714=3x
x=238
Then you have to multiply it back out.
Men: 476
Women: 238
I hope this helps!
If you need help with anything else, or this answer just doesn't make sense, just let me know!