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Ghella [55]
2 years ago
6

It takes Hoai 20 minutes to walk to his friend's house 7/8 mile away. What is his walking pace?

Mathematics
2 answers:
algol [13]2 years ago
6 0

Step-by-step explanation:

To find her walking pace in 'miles per hour', we need to divide the distance (in miles) by the time (in hours)

speed

=

distance

time

The time is given in minutes, but

50

minutes =

50

60

hours

=

5

6

hours

1

2

3

÷

5

6

=

5

3

×

6

5

miles per hour

=

5

3

×

6

2

5

=

2

miles per hour

mars1129 [50]2 years ago
3 0

Answer:

2 miles per hour

Explanation:

To find her walking pace in 'miles per hour', we need to divide the distance (in miles) by the time (in hours)

Step-by-step explanation:

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Is it true that the planes x + 2y − 2z = 7 and x + 2y − 2z = −5 are two units away from the plane x + 2y − 2z = 1?
zhuklara [117]

Lets Find It Out..

First we'll find the equation of ALL planes parallel to the original one.

As a model consider this lesson:

Equation of a plane parallel to other

The normal vector is:
<span><span>→n</span>=<1,2−2></span>

The equation of the plane parallel to the original one passing through <span>P<span>(<span>x0</span>,<span>y0</span>,<span>z0</span>)</span></span>is:

<span><span>→n</span>⋅< x−<span>x0</span>,y−<span>y0</span>,z−<span>z0</span>>=0</span>
<span><1,2,−2>⋅<x−<span>x0</span>,y−<span>y0</span>,z−<span>z0</span>>=0</span>
<span>x−<span>x0</span>+2y−2<span>y0</span>−2z+2<span>z0</span>=0</span>
<span>x+2y−2z−<span>x0</span>−2<span>y0</span>+2<span>z0</span>=0</span>

Or

<span>x+2y−2z+d=0</span> [1]
where <span>a=1</span>, <span>b=2</span>, <span>c=−2</span> and <span>d=−<span>x0</span>−2<span>y0</span>+2<span>z0</span></span>

Now we'll find planes that obey the previous formula and at a distance of 2 units from a point in the original plane. (We should expect 2 results, one for each half-space delimited by the original plane.)
As a model consider this lesson:

Distance between 2 parallel planes

In the original plane let's choose a point.
For instance, when <span>x=0</span> and <span>y=0</span>:
<span>x+2y−2z=1</span> => <span>0+2⋅0−2z=1</span> => <span>z=−<span>12</span></span>
<span>→<span>P1</span><span>(0,0,−<span>12</span>)</span></span>

In the formula of the distance between a point and a plane (not any plane but a plane parallel to the original one, equation [1] ), keeping <span>D=2</span>, and d as d itself, we get:

<span><span>D=<span><span>|a<span>x1</span>+b<span>y1</span>+c<span>z1</span>+d|</span><span>√<span><span>a2</span>+<span>b2</span>+<span>c2</span></span></span></span></span>
<span>2=<span><span><span>∣∣</span>1⋅0+2⋅0+<span>(−2)</span>⋅<span>(−<span>12</span>)</span>+d<span>∣∣</span></span><span>√<span>1+4+4</span></span></span></span>
<span><span>|d+1|</span>=2⋅3</span> => <span><span>|d+1|</span>=6</span>First solution:
<span>d+1=6</span> => <span>d=5</span>
<span>→x+2y−2z+5=0</span>Second solution:
<span>d+1=−6</span> => <span>d=−7</span>
<span>→x+2y−2z−7=<span>0</span></span></span>
8 0
3 years ago
Neptunes average distance from the sun is 4.503x10^9 km. Mercurys average distance from the sun is 5.791x10^7 km. About how many
LuckyWell [14K]
Neptune is 77.76 times farther from the Sun than Mercury is. 


6 0
3 years ago
A 120-pound person uses 3 calories per minute walking at a 20 min/mile pace. approximately, how many miles would a person have t
lora16 [44]
He would have to walk 175/3 minutes to burn off the ice cream.  If you divide this by 20, you could find how many miles he would need to walk.  175/3/20 Which comes to roughly 2.9.  If you round up, it is 3 miles.  Please mark Brainliest!!!
6 0
3 years ago
Read 2 more answers
First to answer gest brainiest!<br> 2+2+2+2+2+2+2+2=16 how can this be?!?!?!?!?
Ratling [72]

Answer:

yes it can be

Step-by-step explanation:

there are 2 times 8 which equals 16

6 0
3 years ago
Read 2 more answers
PLZZZZ HELPPPpppppp!!!
insens350 [35]
The answer is 8%.................
4 0
3 years ago
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