Answer:
can you add the answer choices please? thank you!
Step-by-step explanation:
Answer:
The area of the sector is 84.8 in.² to the nearest tenth
Step-by-step explanation:
∵ the clock is a circle
∴ The measure of angles between each two hours = 360° ÷ 12 = 30°
∵ At 8 o'clock the hour hand pointed on 8 and the minute hand pointed on 12
∴ There are 4 angles between the two hands
∴ The central angle subtended by the arc = 4 × 30° = 120°
∵ The Area of the sector = 
where x is the central angle subtended by this arc
∴ Area sector = 
× π × (18/2)²
∴ Area sector = 
× π ×81 = 27π = 84.8 in² to the nearest tenth
First we need to find the total annual costs for both the plans.
In case of leasing:
Fixed monthly cost = $420
So, yearly cost = 420 x 12 = $5040
Cost per mile = $0.08
For x miles driven, the cost per year for leasing will be = 5040 + 0.08x
In case of purchasing:
Fixed yearly cost = $4600
Cost per mile = 0.10
For x miles driven, the cost per year for leasing will be = 4600 + 0.10x
We want to find for what number of miles will the cost of leasing will be no more expensive than the cost of purchasing.
So,
Cost of leasing ≤ Cost of purchasing
5040 + 0.08x ≤ 4600 + 0.10x
440 ≤ 0.02x
22000 ≤ x
Thus, if if the number of miles driven are equal to or less than 22,000 leasing will be no more expensive than purchasing.
For #4, for any right triangle a^2 + b^2 should equal c^2. Square roots are just numbers to a power of 1/2. You can multiply the exponents together of #^(2 * 1/2) and simply get #. With that in mind, we can use sqrt2 as our a, sqrt3 as b, and sqrt5 as c, since c is always the largest number. For A, sqrt2 squared is 2, for B, sqrt3 squared is 3, and c is 5. Since 2+3 does indeed equal 5 you have a right triangle.
For #5, dilating by 3 means our length will be three times as long as whatever it is there. To find out how long the line is, we can make a right triangle. The differences between the x values are 6, and the differences between the y values are 12. A^2 + b^2 = c^2, 144 + 36 = 180, c= sqrt180, which is approx. 13.416. Multiply that by 3 and you get ≈40.25 as K’L’.
Answer:
yes... it is possible to construct a triangle
because it is an equilateral triangle
