Answer:
Step-by-step explanation:
S 50 m = 0.050 km
A ∵ 1 m = 100 cm
∴ 5 m = 500 cm
K ∵ 1000 dm = 0.1 km
∴ 1 dm = km
∴ 5246 dm = km
= 0.5246 km
P ∵ 1 m = 1000 mm
∴ 5.246 m = 5246 mm
P ∵ 1 hg = 1000 dg
∴ 3.7 hg = 3700 dg
U ∵ 1 g = 100 cg
∴ 0.37 g = 37 cg
E ∵ 1 kg = 1000 g
∴ 370 kg = 370,000 g
This problem could be set up algebraically or you could use trial and error.
a) 9 and 4 (9 + 4 = 13, 9 * 4 = 36 and 36 - 23 = 13)
I won't give you the rest of the answers, but the second and third ones have to add together to equal a negative number and multiply to equal a positive number. I hope this helps some.
First find the area of the sector of 150 degrees:
150/360 x PI * 27.8^2 = 1011.6452 in^2
Now find the area of the triangle formed by the 150 degrees and the radius 27.8
first find the length of the chord ( the base of the triangle)
c^2 = 27.8^2 + 27.8^2 - 2 * 27.8 * cos(150) = 53.71
now find the height by using half the chord length as the base and using the Pythagorean theorem:
26.855^2 - 27.8^2 = height^2
height = 7.19
The area of the triangle is 1/2 x base x height = 1/2 x 26.855 x 7.1952 = 96.605
multiply by 2 because we made 2 right triangles: 96.54 x 2 = 193.21 square inches.
Now the area of the shaded region is the area of the sector minus the area of the triangle:
1011.6452 - 193.21 = 818.4352
Rounded to nearest tenth = 818.4 in^2
Answer:
3 5/6 + (-11/6) --> 2 2/3
Step-by-step explanation:
Step 1: 3-1--> 2
Step 2: 5/6 - 1/6 --> 2/3
Final Answ. : 2 2/3