Answer: LAST OPTION.
Step-by-step explanation:
1. You have the following equation:

2. Then you must solve for x, as following:

Therefore, as you can see above, the answer for the exercise is the last option.
Answer:
11.820 ft
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that ...
Sin = Opposite/Hypotenuse
The length of the ladder is the hypotenuse of a right triangle with 52° as the base angle. The side opposite is the height up the building where the top of the ladder rests. So, you have the relation ...
sin(52°) = height/(15 ft)
Multiplying by the denominator gives you ...
height = (15 ft)·sin(52°) ≈ 11.820 ft
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You may need to round this number appropriately.
The answer must be

since the triangular pyramid has 4 faces and each has an area of 30

we should multiply that by 4 , so :
Answer:
The answer is 117.3
.
Step-by-step explanation:
To solve for the volume of the cone, use the cone volume formula, which is V =
.
Next, plug in the information given from the problem, and the formula will look like V =
.
Then, solve the equation, and the answer will be 117.3
.
Answer:
The equation of the line will be:

Step-by-step explanation:
Given the points
Finding the slope between (3, 4) and (12, 9)




The equation of the line can be obtained using the point-slope form of the equation of the line

substituting the values m = 5/9 and the point (3, 4)



Therefore, the equation of the line will be:
