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a_sh-v [17]
3 years ago
13

What is the square root of 243 reduced?

Mathematics
1 answer:
allsm [11]3 years ago
6 0

Answer:

9is√3

Step-by-step explanation:

I think I don't really know but that's my answer

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A flying squirrel lives in a nest that is 12 meters high in a tree. To reach a fallen acorn that is 16 meters from the base of t
Greeley [361]

Pythagorean theorem

12²+16²=c²

√400=c

c=20

20 meters

4 0
3 years ago
Avery can run at 10 uph. The bank of a river is represented by the line 4x + 3y = 12, and Avery is at (7, 5). How much time does
Reil [10]
The minimum distance will be along a perpendicular line to the river that passes through the point (7,5)

4x+3y=12

3y=-4x+12

y=-4x/3+12/3

So a line perpendicular to the bank will be:

y=3x/4+b, and we need it to pass through (7,5) so

5=3(7)/4+b

5=21/4+b

20/4-21/4=b

-1/4=b so the perpendicular line is:

y=3x/4-1/4

So now we want to know the point where this perpendicular line meets with the river bank.  When it does y=y so we can say:

(3x-1)/4=(-4x+12)/3  cross multiply

3(3x-1)=4(-4x+12)

9x-3=-16x+48

25x=51

x=51/25

x=2.04

y=(3x-1)/4

y=(3*2.04-1)/4

y=1.28

So now that we know the point on the river that is closest to Avery we can calculate his distance from that point...

d^2=(x2-x1)^2+(y2-y1)^2

d^2=(7-2.04)^2+(5-1.28)^2

d^2=38.44

d=√38.44

d=6.2 units

Since he can run at 10 uph...

t=d/v

t=6.2/10

t=0.62 hours  (37 min 12 sec)

So it will take him 0.62 hours or 37 minutes and 12 seconds for him to reach the river.




8 0
3 years ago
30 divided by 1.25 with work
vesna_86 [32]

Answer:

24

Step-by-step explanation:

If you need an explaination you should immediatly remove yourself from the Gene pool, this is a 3rd grade question.

6 0
3 years ago
Molly is converting 2 yards to millimeters. Will the number of millimeters be fewer than or greater than 2?
ololo11 [35]
Greater than.

yards are a larger unit of measurement, so to convert it there are more millimeters to count the same amount of space.
7 0
2 years ago
EFV and EDW are straight lines.<br>Find the value of x and of y.​
Makovka662 [10]

Answers:

x = 72

y = 83

============================================================

Explanation:

Angle VFG is 50 degrees. The angle adjacent to this is angle EFG which is 180-50 = 130 degrees.

Angle HDW is 77 degrees. The supplementary angle adjacent to this is 180-77 = 103 degrees which is angle EDH.

Pentagon EFGHD has the following five interior angles

  • E = x
  • F = 130
  • G = 170
  • H = 65
  • D = 103

Note that angles F = 130 and D = 103 were angles EFG and EDH we calculated earlier.

For any pentagon, the interior angles always add to 180(n-2) = 180(5-2) = 180*3 = 540 degrees.

This means,

E+F+G+H+D = 540

x+130+170+65+103 = 540

x+468 = 540

x = 72

---------------------------------------

Now focus your attention on triangle THS

We see that the interior angles are

  • T = y
  • H = 65
  • S = 32

The angle H is 65 degrees because it's paired with the other 65 degree angle shown. They are vertical angles.

For any triangle, the angles always add to 180

T+H+S = 180

y+65+32 = 180

y+97 = 180

y = 180-97

y = 83

7 0
3 years ago
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