I need help with the answer plz
2 answers:
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Answer:
x is approximately 69.39 degrees.
Step-by-step explanation:
To find x in this triangle, we can use the sin rule:
The corresponding angle for each length is the one that lies directly opposite it. E.g. if 3.5 was our length 'a', then 55 degrees would be our angle A.
So let's take 3.5 and 55degrees as our length and Angle A, and 4 and x degrees as our length and angle B as we are trying to solve for x.
This would give us the following equation:
Since we are solving for an angle, it will be easier to rearrange the equation if we have it as the numerator, so we can flip the fractions to make it easier. It will still be equal as we are looking for the ratio.
From here let's isolate the sin(x) by multiplying by 4 and solving the values we have so far:
Now the final step is to use inverse sin to cancel the sin so we just have x:
x is approximately 69.39 degrees.
Hope this helped!
Answer: SECOND OPTION (52 cm³)
Step-by-step explanation:
The formula for calculate the volume of a cone is:
Where r is the radius and h is the height.
The formula for calculate the volume of a cylinder is:
Where r is the radius and h is the height.
As you can see, the difference between the the formulas is that r²hπ of the cone is divided by 3. Therefore, if you know the volume of the cylinder and you know that the cone has the same base and height as the cylinder, you have to divide the volume of the cylinder by 3 to obtain the volume of the cone.
Therefore, the result is: