Solve for x. 4^6/4^x=4^0
1 answer:
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Answer:
°
°
°
Step-by-step explanation:
Let the measure of angle C be °.
Given:
In triangle ΔABC,
is thirteen less than
and
is eleven less than four times
. This gives,
Also,
Now, for a triangle, the sum of all its interior angles is equal to 180°.
Therefore,
Plug in all the values and solve for x. This gives,
Therefore, measure of angle C is 34°.
Measure of angle A is, °.
Measure of angle B is, °.
<u>Given</u>:
The sides of the base of the triangle are 8, 15 and 17.
The height of the prism is 15 units.
We need to determine the volume of the right triangular prism.
<u>Area of the base of the triangle:</u>
The area of the base of the triangle can be determined using the Heron's formula.
Substituting a = 8, b = 15 and c = 17. Thus, we have;
Using Heron's formula, we have;
Thus, the area of the base of the right triangular prism is 36 square units.
<u>Volume of the right triangular prism:</u>
The volume of the right triangular prism can be determined using the formula,
where is the area of the base of the prism and h is the height of the prism.
Substituting the values, we have;
Thus, the volume of the right triangular prism is 450 cubic units.