Answer:
360 cm^3
Step-by-step explanation:
The solid is a triangular prism.
It has a triangular base and a height of 0.6 m.
The base is a right triangle with perpendicular sides measuring 3 cm and 4 cm. Those sides are the base and height used to find the area of the base of the prism.
volume = area of base * height
We need all units to be the same, so convert the height from meters to centimeters.
0.6 m * (100 cm)/(1 m) = 60 cm
volume = bh/2 * H
volume = (3 cm)(4 cm)/2 * 60 cm
volume = 360 cm^3
Answer:
- 1) 19.07 m, 2) 80.10 ft, 3) 56.79 m
Step-by-step explanation:
Use <u>trigonometry</u> to solve for unknowns.
<h3>1) Use sine</h3>
- <em>sine = opposite leg / hypotenuse</em>
- sin 27° = x/42
- x = 42 sin 27°
- x = 19.07 m (rounded)
<h3>2) Use tangent</h3>
- <em>tangent = opposite leg / adjacent leg</em>
- tan 23° = 34/x
- x = 34 / tan 23°
- x = 80.10 ft
<h3>3) Use cosine</h3>
- <em>cosine = adjacent leg / hypotenuse</em>
- cos 48° = 38/x
- x = 38 / cos 48°
- x = 56.79 m (rounded)
Answer:
The answer to your question is (2)(3)(11)
Step-by-step explanation:
Data
154
Process
1.- Find the prime factors of 154, starting with 2, then, 3, 5, 7, etc
154 2
77 7
11 11
1
2.- Write 154 as a composition of prime factors
154 = (2)(7)(11)
3.- Conclusion
The prime factors of 154 are 2, 3 and 11
The awnswr is: 9 units to the right and 3 units down
Answer:
-5.2
Step-by-step explanation: