For both of these questions you want to raise every part to the 4th or 2nd power. Just remeber that a power raised to a power is just multiplied.
3.)
3^4 = 3×3×3×3 = 9×9 = 81
x^4 = 1×4 = 4 so x^4
2^4 = 2×2×2×2 = 4×4 = 16
so
4.)
2^2 = 2×2 = 4
5^2 = 5×5 = 25
(n^9)^2 = 2×9 = 18 so n^18
so
Hope this helps!
Answer:
For Lin's answer
Step-by-step explanation:
When you have a triangle, you can flip it along a side and join that side with the original triangle, so in this case the triangle has been flipped along the longest side and that longest side is now common in both triangles. Now since these are the same triangle the area remains the same.
Now the two triangles form a quadrilateral, which we can prove is a parallelogram by finding out that the opposite sides of the parallelogram are equal since the two triangles are the same(congruent), and they are also parallel as the alternate interior angles of quadrilateral are the same. So the quadrilaral is a paralllelogram, therefore the area of a parallelogram is bh which id 7 * 4 = 7*2=28 sq units.
Since we already established that the triangles in the parallelogram are the same, therefore their areas are also the same, and that the area of the parallelogram is 28 sq units, we can say that A(Q)+A(Q)=28 sq units, therefore 2A(Q)=28 sq units, therefore A(Q)=14 sq units, where A(Q), is the area of triangle Q.
Answer:
- points on the boundary line: (0, 10), (20, 0)
- solution points not on the boundary line: (100, 100)
Step-by-step explanation:
We cannot tell from the posted picture whether the boundary line is solid or dashed, so the answer above is split into two parts. If the boundary line is solid (x+2y≥20), all three listed points are in the solution set. If the boundary line is dashed (x+2y>20), only (100, 100) is in the solution set.
Answer:
- CSA of the cylinder = 440 sq. cm
- Volume of the cylinder = 1540 cu. cm
Step-by-step explanation:
Given:
- Radius of the cylinder = 7 cm
- Height of the cylinder = 10 cm
To Find:
- Curved surface area
- Volume
Solution:
Using formula:
<em>Substituting the required values: </em>
Now,
<em>Substituting the required values, </em>
Hence,
- CSA of the cylinder = 440 sq. cm
- Volume of the cylinder = 1540 cu. cm
Length(width + 30)=15,000 square meters, so the equation is l(w+30)=15,000, either 15,000 or 1,500 i cannot tell which number you were meaning to say because of where your comma is placed.
