Answer:
14 girls
Step-by-step explanation:
boys : girls = total
5 : 7 = 12
10 : 14 = 24
268 / 28 = 9.57
9.57 x 21 = 201
Therefore, the answer is 201.
first you need to find the slope of he current equation by changing it to y=mx+b
3x-2y=9 subtract 3x from both sides
-2y=-3x+9 divide both sides by -2
y+3/2x-9/2 Your slope of the existing is 3/2 or 1 1/2
a perpendicular line has the opposite reciprocal slope so 3/2 would be -2/3
-3 is your y intercept. now you can make your equation
y=-2/3x-3
Answer:
Distance from Anchorage (longitude 150 degrees W) to Saint Petersburg (longitude 30 degrees E) = 10,002.47 KM
Step-by-step explanation:
As earth is a sphere of radius 6371 km.
Therefore at 60 degree latitude, the radius of circle can be calculated as shown below:
= 6371 * Cos 60
= 3185.5 KM
Saint Petersburg is nearly 180 degree about Anchorage by flying directly east.
So Distance from Anchorage (longitude 150 degrees W) to Saint Petersburg (longitude 30 degrees E) can be calculated as shown below:
= (180 * 2 * 3.1416 * 3185.5) / 360
= 10,002.47 KM
Answer:
23.6 ft
Step-by-step explanation:
Sketch a right triangle representing this situation. The length of the hypotenuse is 26 ft and the angle of elevation from ground to top of ladder is 65°. The "opposite side" is the reach of the ladder, which we'll call x.
Then:
opp
- sin 65° = ----------
- 26 ft
or (26 ft)(sin 65°) = opp side = height off the ground of top of ladder.
Evaluating this, we get:
(26 ft)(0.906) = 23.56 ft, or, rounded off, 23.6 ft
The ladder reaches 23.6 ft up the side of the building.
