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Zielflug [23.3K]
3 years ago
12

Drew is driving to a baseball game that is 180 miles away. He leaves at 9.00am and averages 60 miles per hour. what time will he

get there.
Mathematics
1 answer:
son4ous [18]3 years ago
3 0
180 miles / 60miles per hour = 3 hours

9:00 am + 3 hours = 12:00pm
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find the component equation of the plane which is normal to the vector -2i+5j+k and which contains the point (-10;7;5).​
maksim [4K]

Given:

A plane is normal to the vector = -2i+5j+k

It contains the point (-10,7,5).​

To find:

The component equation of the plane.

Solution:

The equation of plane is

a(x-x_0)+b(y-y_0)+c(z-z_0)=0

Where, (x_0,y_0,z_0) is the point on the plane and \left< a,b,c\right> is normal vector.

Normal vector is -2i+5j+k and plane passes through (-10,7,5). So, the equation of the plane is

-2(x-(-10))+5(y-7)+1(z-5)=0

-2(x+10)+5y-35+z-5=0

-2x-20+5y-35+z-5=0

-2x+5y+z-60=0

-2x+5y+z=60

Therefore, the equation of the plane is -2x+5y+z=60.

4 0
2 years ago
A mountain climber ascends a mountain to its peak. The peak is 14,020 ft above sea level. The climber then descends 260 ft to me
marin [14]
13,760 ft above sea level. (14020-260=13760)
3 0
3 years ago
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If you now you a PRO at math ples help<br> 100 points AND BRAINLESS ​
frutty [35]

Answer:

C) 50 square units

Step-by-step explanation:

from (-4,-1) to (6,-1) is 10

from (-4,-1) to (-4,4) is 5

10x5=50

8 0
2 years ago
On the blueprint of a house, 36 millimeters represents 8 meters. The actual length of the living room is 6 meters. What is its l
Xelga [282]

36/8=4.5 which is how many millimeters there are in a meter. So 6 meters *4.5 would be 27 millimeters. The length of the blue print is 27 millimeters

5 0
3 years ago
Please helpppp
tino4ka555 [31]

Answer:

Resultant is 50 mi/hr in the north east direction

Step-by-step explanation:

Plane is traveling north east at 150 mi/hr.

Now a wind is blowing from the south west at 100 mi/hr.

Now, north east and south west are directly opposite directions and such the angle between the resultant speed of the plane in flight and the wind will be;

150 - 100 = 50 mi/hr

Since the north east speed is greater than the south east speed, then the direction will be north east.

Thus, resultant is 50 mi/hr in the north east direction

4 0
2 years ago
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