Answer:
18 and 9
Step-by-step explanation:
The numbers are x and 1/2x.
x + 1/2x = 27
3/2x = 27
x = 18 so the numbers of 18 and 9.
Answer:
look at the picture i have sent
(We know this from a=1/9 and r=3)
Simplifying this, we get:
Since we're finding the first term that exceeds 1000, let's set it equal to 1000.
Multiplying both sides by 27
n≈9.2
We have to round n up, since if n=9, the value would be <1000.
Therefore n=10. Substituting n=10,
=2187
Therefore the first term that exceeds 1000 is 2187, and it is the 10th term
Answer:
here
Step-by-step explanation:
0.10757 square inches (in²)
Answer:
The perimeter (to the nearest integer) is 9.
Step-by-step explanation:
The upper half of this figure is a triangle with height 3 and base 6. If we divide this vertically we get two congruent triangles of height 3 and base 3. Using the Pythagorean Theorem we find the length of the diagonal of one of these small triangles: (diagonal)^2 = 3^2 + 3^2, or (diagonal)^2 = 2*3^2.
Therefore the diagonal length is (diagonal) = 3√2, and thus the total length of the uppermost two sides of this figure is 6√2.
The lower half of the figure has the shape of a trapezoid. Its base is 4. Both to the left and to the right of the vertical centerline of this trapezoid is a triangle of base 1 and height 3; we need to find the length of the diagonal of one such triangle. Using the Pythagorean Theorem, we get
(diagonal)^2 = 1^2 + 3^2, or 1 + 9, or 10. Thus, the length of each diagonal is √10, and so two diagonals comes to 2√10.
Then the perimeter consists of the sum 2√10 + 4 + 6√2.
which, when done on a calculator, comes to 9.48. We must round this off to the nearest whole number, obtaining the final result 9.
