Answer:
41
Step-by-step explanation:
We can obtain the area of a triangle where two sides and an included angle is given by saying; 1/2 ab sinθ
where a and b are the given sides of the triangle and θ is the included angle.
From the formula for the area of the triangle;
Area of a triangle = 1/2 ac sin B
Area of the triangle = 1/2 * 9 * 11 * sin 124
Area of the triangle = 49.5 * sin 124
Area of the triangle = 41
Ok so let's start with what we know- the shortest piece is 8 inches so there's one length... then the middle piece is 6 inches longer than the shortest (6+ 8) so the middle piece would be 14 inches long. To find the last piece we can add up the other two pieces we know (14+8) which would be 22 and subtract that from how long the whole sandwich is (59-22) which would be 37 inches long. So in the end he shortest piece would be 8 inches, the middle 14 inches and the longest 37 inches.
The volume of the pool is 1,620 ft cubed
Answer:
See the attached file for the answer.
Step-by-step explanation:
See the attached file for the explanation.
Answer:
56
Step-by-step explanation:
We know that every triangle no matter will equal 180 degrees. So we will make an algebreic expression.
2x+8+60=180
When doing algebreic expression we want to simply as much as possible to find our answer. First we will do 60-180. Since the expression is adding 60 we want to do the opposite and subtract is by 60 on both sides. SO now we have 2x+8=120. We do the same thing with 8. Subtract it on both sides since its adding in the expression. Now we have 2x=112. FInally, we will divide by two on both sides since its multiplying on the other side of the equation. So now we are left with x=56.