9 5/10 -- 1/23 = 43546 = 92146≅ 9.456522
Calculation steps
Conversion a mixed number to a improper fraction: 9 5/10 = 9 · 10 + 510= 9510
Subtract: 9510 - 123 = 95 · 2310 · 23 - 1 · 1023 · 10 = 2185230 - 10230 = 2185 - 10230 = 2175230 = 43546
The common denominator you can calculate as the least common multiple of the both denominators - LCM(10, 23) = 230
Answer:
answer in the photo!
Step-by-step explanation:
Hope it helps :)
Answer:
15.2 cm, 130 m
Step-by-step explanation:
1. The sine of angle Z is XY/17.4; (opposite/hypotenuse);
sin(61) = XY/17.4; multiply both sides by 17.4 to find XY
17.4sin(61) = 15.2 cm
2.
This triangle is made by the anchor of the balloon to the ground, the balloon, and the area on the ground directly below the balloon.
The hypotenuse of the triangle is the 170 m string.
The angle of inclination is 50 degrees.
The height of the triangle will be opposite of the angle of inclination.
Therefore,
sin(50) = height/170 (opposite/hypotenuse)
170sin(50) = 130.2 meters
Answer:
x=2
Step-by-step explanation:
5x+10=24-2x
5x+10-10=24-2x-10
5x= -2x+14
5x+2x= -2x+14+2x
7x=14
7x/7=14/7
x=2