Answer:
7854 square centimeters
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
A = pi ( 50)^2
A = 2500 pi
Let pi be approximated by 3.14
A = 2500 * 3.14
A =7850 cm^2
Answer: segment KH
Explanation:
The altitude of a triangle is defined as a segment connecting one of the vertex of the triangle with the opposite side of the triangle (or with an external prolongation of it), forming a right angle with it.
Note that the altitude of a triangle can also be outside the area of the triangle.
If we look at the picture, we see that:
- IH is a side, so it is not an altitude of the triangle
- KH is an altitude of the triangle, since it connects the vertex H with the external prolongation of IG, and it makes a right angle with it
- GJ: we don't know if it is an altitude, since we don't know if it forms a right angle or not
- GH: it is a side of the triangle, so it is not an altitude
So, the correct answer is segment KH.
Answer:
40 miles a day
Step-by-step explanation:
The difference in fixed charge is $20; the difference in mileage charge is $0.50 per mile. So it will take $20/$0.50 = 40 miles for the extra mileage cost to eat up the savings in fixed cost. At that mileage, both companies will charge the same amount:
A: 90 + 0.30·40 = 102
B: 70 + 0.80·40 = 102
Answer: 2.2 meters
Step-by-step explanation:
The data is:
The initial piece is 6.35 meters long.
We cut 25 pieces of 16.2cm each, so in pieces only we have:
25*16.2cm = 405cm
1m = 100cm
Then: 405cm = (405/100) m = 4.05m
And each time that we cut a piece, we have 4mm of waste.
Then we have 25 times the 4mm of waste, this means that the total waste is:
4mm*25 = 100mm
and 1000mm = 1m
100mm = (100/1000) m = 0.1m
So the total amount that was cut is:
4.05m + 0.1m = 4.15m
The length in the channel iron will be: 6.35m - 4.15m = 2.2 meters
