Answer:
7 1/17
Step-by-step explanation:
A figure can be helpful.
The inscribed semicircle has its center at the midpoint of th base. It is tangent to the side of the isosceles triangle, so a radius makes a 90° angle there.
The long side of the isosceles triangle can be found from the Pythagorean theorem to be ...
BC² = BD² +CD²
BC² = 8² +15² = 289
BC = √289 = 17
The radius mentioned (DE) creates right triangles that are similar to ∆BCD. In particular, we have ...
(long side)/(hypotenuse) = DE/BD = CD/BC
DE = BD·CD/BC = 8·15/17
DE = 7 1/17 ≈ 7.059
Answer:
f(n) = 2n - 2
Step-by-step explanation:
Given the recursive formula
f(n) = f(n - 1) + 2 with f(1) = 0, then
f(2) = f(1) + 2 = 0 + 2 = 2
f(3) = f(2) + 2 = 2 + 2 = 4
f(4) = f(3) + 2 = 4 + 2 = 6
The terms of the sequence are 0, 2, 4, 6, ....
These are the first 4 terms of an arithmetic sequence with explicit formula
f(n) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here d = 2 - 0 = 4 - 2 = 6 - 4 = 2 and a₁ = 0, thus
f(n) = 0 + 2(n - 1), that is
f(n) = 2n - 2 ← explicit formula
Answer:
Step-by-step explanation:
<u>Question 7</u>
Angle formed by 2 chords is half of the sum of the intercepted arcs
- x = 1/2(72° + 58°) = 1/2(130°) = 65°
<u>Question 8</u>
Angle formed by 2 secants is half of the difference of the intercepted arcs
- x = 1/2(360° - (130° + 98° + 41°) - 41°) = 1/2(50°) = 25°
Answer:
The answer to your question is 21.9 mi
Step-by-step explanation:
Data
1st day = 3 mi
2nd day = 3.3 mi
3rd day = 3.9 mi
4rd day = 5.1 mi
7fh day = ?
Process
1.- Calculate the pattern
Day 1 2 3 4 5 6 7
MIles 3 3.3 3.9 5.1 7.5 12.3 21.9
Gradient 0.3 0.6 1.2 2.4 4.8 9.6
We notice that the gradient is duplicating so the miles that I bike the seventh day are 21.9.
Answer:
320
Step-by-step explanation:
(45*3.5)+(65*2.5)=320
