Answer:
17/5
Step-by-step explanation:
3 and 2 out of 5...so 5 makes a whole
so 3 wholes or 3 5s is 15
15/5ths plus 2 fifths is 17 fifths or 17 over 5.
17/5ths.
Your answer would be 4x-6y-12
Step-by-step explanation:
if the volume of a cylinder is given by v=pi*h*r^2 lets find each volume and find their ratio. volume of a is 50.24 and volume of c is 200.96. so the ratio is 200.96:50.24. let's simply this by saying 200.96/50.24 to see how many of the smaller cylinders A it takes to equal 1 of the larger cylinder C. it is 4. the ratio is 1:4. 1 large cylinder C is equal to 4 smaller cylinders A
Answer:
Negative Coterminal: -5π/4
Positive Coterminal: 11π/4
Step-by-step explanation:
The easiest way to find <em>specific </em>(not infinite) coterminal values is to ±2π. When you subtract 2π, you will get a negative coterminal. When you add 2π, you will get a positive coterminal. Keep in mind though that a tan∅ or cot∅ only needs ±π, not ±2π.
To do this problem, break the pic up into its individual shapes.
For the top box:
You're given that the length of the bottom shape is 3 2/5, and that the top box is bordered by 1/2 inch of open space on each side. This means the length of the top box is 3 2/5 -(2x1/2), which equals 2 2/5.
The area occupied by the top box is the result of multiplying 2 2/5 (the base) by 1 1/3 ( the height.) therefore, the area of that part is 48/15, or 16/5 in reduced form.
Now for the bottom shape:
Break it up into a rectangle and two triangles, one of which is already drawn in for you. For the other triangle, draw a vertical line connecting the bottom corner of the bottom shape to the edge of the top shape. The line should be parallel to the line that's already drawn in.
Because you're given the 1/2 inch space to either side of the top box, you can conclude that the base of each triangle will be 1/2 inch. You're also given a height. The area of a triangle is b times h divided by two, so the area of each triangle is (1/2)(2)/2, which equals 1/2.
Put together, the area of the two triangular components is 1.
Now, you have one more component to calculate, which is the rectangular component of the bottom shape. Since you already accounted for the bases of the triangular components, subtract those from the base, giving you 3 2/5 -(1/2 x 2), which means the base of the rectangle is 2 2/5. Now just multiply that by the height, which is 2. The area of the rectangle is therefore 24/5.
Final answer: You now have all the component areas, you just need to add them all together to get the total area. 16/5 + 1 + 24/5 = 45/5, which reduces to 9.
Your final answer is B, 9 in^2.
