Answer:
A. 5x+6
Step-by-step explanation:
-(9x-18)+8x
-3x+6+8x (multiply across the -1/3)
5x+6 (combine 8x and -3x)
Alex wants to make birdhouses for the wild birds that lives around the area. She's trying to decide on the measurements for the
roof of a birdhouse. The diagram shows that the roof is formed by two identical right triangles. Which set of measurements can be used to make one of the right triangles?
A. 15 cm, 20 cm, 35 cm
B. 15 cm, 36 cm, 39 cm
C. 15 cm, 20 cm, 26 cm
D. 12 cm, 16 cm, 18 cm
A. 15 cm, 20 cm, 35 cm
B. 15 cm, 36 cm, 39 cm
C. 15 cm, 20 cm, 26 cm
D. 12 cm, 16 cm, 18 cm
1 answer:
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Answer:
The number of minutes she can continue to descend if she does not want to reach a point more than 144 feet below the ocean surface is <u>at most 5 minutes.</u>
Step-by-step explanation:
Given:
Initial depth of the scuba dive = 19 ft
Rate of descent = 25 ft/min
Maximum depth to be reached = 144 ft
Now, after 't' minutes, the depth reached by the scuba dive is equal to the sum of the initial depth and the depth covered in 't' minutes moving at the given rate.
Framing in equation form, we get:
Total depth = Initial Depth + Rate of descent × Time
Total depth =
Now, as per question, the total depth should not be more than 144 feet. So,
Solving the above inequality for time 't', we get:
Therefore, the number of minutes she can continue to descend if she does not want to reach a point more than 144 feet below the ocean surface is at most 5 minutes.
Answer:
Step-by-step explanation:
Given
The height of the cylinder is
The volume of the cylinder is
The volume of the cylinder is the product of area and height
Insert the values
Thus, the area of the cross-section is