The distance traveled by the balloon in every minute makes an arithmetic sequence with a first term equal to 40 ft and common difference equal to 20. The nth term of an arithmetic sequence is calculated by,
an = a1 + (n - 1) x d
Substituting,
an = 40 + (15 - 1) x 20 = 320
Thus, the answer is letter B. 320 feet.
Answer:
Step-by-step explanation:
1)
total area = rectangle area + 2 triangle area
= length * width = 2 (
* base * height )
= 7.5 * 6 + 2 (
* 3 * 4 )
= 57 ft²
2)
separate it into two rectangles:
length * width + length * width
6 * 2 + 9 * 4
48 cm²
3)
parallelogram area = base * height
= 20 * 25
= 500 in²
The error was the Jacob multiplied 2.5 by 3 instead of dividing. Instead it should be.
9514 1404 393
Explanation:
<u>Given</u>:
- The attached figure showing circle O, chord BC, central angle BOC and inscribed angle BAC
- angle BAC = α + β
<u>Prove</u>:
<u>Proof</u>:
∠BOA +∠BOC +∠AOC = 360° . . . . . sum of arcs of a circle is 360°
2α +∠BOA = 180°, 2β +∠AOC = 180° . . . . . sum of triangle angles is 180°
∠BOA = 180° -2α, ∠AOC = 180° -2β . . . . solve statement 2 for central angles
(180° -2α) +∠BOC +(180° -2β) = 360° . . . . . substitute into statement 1
∠BOC = 2(α +β) . . . . . add 2α+2β-360° to both sides
∠BOC = 2×∠BAC . . . . . substitute given for α+β; the desired conclusion
-21+7r
You would just distribute the 7