Answer:
The base of the triangle is decreasing at a rate of 1.4167 inch/hour.
Step-by-step explanation:
Area of a triangle:
The area of a triangle of base b and height h is given by:

In this question:
We have to derivate the equation of the area implicitly in function of time. So

The altitude of a triangle is increasing at a rate 2 inch/hour while the area of the triangle is decreasing at a rate of 0.5 square inch per hour.
This means that:

At what rate is the base of the triangle is changing when the altitude is 6 inch and the area is 24 square inch?
This is
when 
Area is 24, so the base is:



Then





The base of the triangle is decreasing at a rate of 1.4167 inch/hour.
Answer:
7.0
Step-by-step explanation:
In ΔVWX, the measure of ∠X=90°, the measure of ∠W=9°, and WX = 8.7 feet. Find the length of XV to the nearest tenth of a foot.
Answer: Use order of operations (PEMDAS). Answer is 45.72.
Step-by-step explanation:
First, solve inside parenthesis:
(5.25*1 1/5 - 4.5*4/5)
Convert 1 1/5 into decimal. It will be easier. 1 1/5 is the same as 1.2
Do multiplication and division first.
5.25*1.2 = 6.3
Now it looks like: (6.3 - 4.5*4/5)
Convert 4/5 to a decimal: 4/5 = 0.8
(6.3 - 4.5*0.8)
Multiply 4.5*0.8 = 3.7
Subtract (6.3 - 3.7) = 2.6
Now the full equation is: 19.6*2 1/5 + (2.6)
2 1/5 as a decimal: 2.2
Multiply 19.6*2.2 = 43.12
Now the equation is: 43.12 + 2.6
Add 43.12 + 2.6 = 45.72
Answer:
Polygon B is similar to Polygon A.
Step-by-step explanation:
Polygon B has a <em>scale factor</em> of 2, because Polygon B looks identical to A, except the measurements are twice as large.