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:
The velocity of jet in still air is
and velocity of wind is
.
Step-by-step explanation:
Let x be the rate of the jet in still air and y be the rate of the wind.
Given:
Velocity against wind, a jet travels 2160 miles in 3 hours.
Velocity against wind 
Flying with the wind, same jet travels 6000 miles in 6 hours.
Flying with the wind 
As such its velocity against wind is 
and with wind is
therefore
------------(1)
---------------(2)
Adding equation 1 and 2.



Put x value in equation 2



Hence velocity of jet in still air is
and velocity of wind is
.
Answer:

Step-by-step explanation:
using the rule of exponents
⇔ 
f(- 5) =
=
= 
Answer:
Slide/Transformation
Step-by-step explanation:
If you slide the rectangle, it would fit in the new coordinates. You might have to slide it multiple directions.
Plz mark brainliest!! :P