Answer:
steps below
Step-by-step explanation:
1. The series contains a combination of two arithmetic sequence series. The number series in the odd position (100,90,80,..) is an arithmetic series with a common difference of 10, and the even number group (3,10,15,...) is another arithmetic series with a common difference of 5.
2. sequence 1 (Odd): a₁ = 100 d = 10 next term is 60
sequence 2 (Even): a₁ = 5 d = 5 next term is 20
3. next 2 terms of the series are 60, 20
Answer:
- 24 cm²
- 6400 -1600π ≈ 1373.45 square units
Step-by-step explanation:
1. You can look at this several ways.
It can be considered to be a stack of 1+2+3 = 6 squares that are 2 cm on a side, so have a total area of 6 × (2 cm)² = 24 cm².
You can lop off one of the squares sticking out and put it into the empty corner to form a 6 cm by 4 cm rectangle with an area of (6 cm)(4 cm) = 24 cm².
You can consider it to be a 6 cm square with 3 squares cut out of it that are 2 cm on a side: (6 cm)² -3(2 cm)² = (36 -12) cm² = 24 cm².
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2. The shaded area is the difference in areas of a square 80 units on a side and a circle of 40 units radius. If we let d represent the side dimension of the square, then the area formulas are ...
Square area = d²
Circle area = π(d/2)²
So the difference area is ...
shaded area = d² -(π/4)d² = d²(1 -π/4)
For d=80, the shaded area is ...
shaded area = 80²(1 -π/4) = 6400 -1600π ≈ 1373.45 square units
The amount earned hourly by Ryan and the number of work hours required to cover his vacation cost are $29.75 and 63 hours respectively.
<u>Given the Parameters</u> :
- Total amount earned = $238
- Number of hours worked = 8 hours
Hourly earning = Total earning ÷ number of hours worked
Hourly earning = $238 ÷ 8 = $29.75
B.)
Vacation cost = $1850
Hourly earning = $29.75
<u>Number of work hours required</u> :
- Vacation cost ÷ Hourly earning
Therefore, Ryan will need to work for 63 hours to cover his vacation expenses.
Learn more : brainly.com/question/18796573
<span>cos 4x + cos 2x = 2 - 2 sin^2 2x - 2 sin^2 x
cos 4x + cos 2x = 1 + 1 − 2sin^2(2x) − 2sin^2(x)
cos 4x + cos 2x = (1 - 2sin^2(2x)) + (1 - 2 sin^2(x)
cos 4x + cos 2x = cos 4x + cos 2x</span>
R= <span><span>√<span><span>x²</span>+<span>y²</span></span></span>
</span> = 16 or <span><span>(<span>x²</span>+<span>y²</span>)</span>
</span> = <span><span>16²</span>
</span>
