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madreJ [45]
2 years ago
15

7/8 of a rectangle is colored red. Damien cuts this red part into a number of pieces so that each piece is 1/24 of the whole rec

tangle. Find the number of red pieces Damien has.
Mathematics
1 answer:
Degger [83]2 years ago
7 0

Answer: Damien has 21 red pieces

Step-by-step explanation:

First, 7/8 of the rectangle is coloured red.

Then, the 7/8 was cut into a size 1/24 of the rectangle each.

That consequently means that 24 of those pieces will form the whole shape.

Since red covers 7/8 of the rectangle, the number of red pieces invariably becomes

⅞ × 24 pieces, which is equal to 21 pieces

Therefore, Damien has cut the red part of the rectangle into 21 pieces

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2 years ago
A 30-N stone is dropped from a height of 10 m and strikes the ground with a speed of 13 m/s.
Anon25 [30]

Answer:

4.1 N

Step-by-step explanation:

We can solve this problem by using considerations about energy.

At the moment the stone is dropped, it has only gravitational potential energy:

PE=mgh

where

mg=30 N is the weight of the stone

h = 10 m is the initial height of the stone

As the stone falls, part of this energy is converted into kinetic energy, while part into thermal energy due to the presence of the air friction, acting opposite to the motion of the stone:

KE+E_t = \frac{1}{2}mv^2 + E_t

where:

m=\frac{mg}{g}=\frac{30}{9.8}=3.06 kg is the mass

v = 13 m/s is the final speed of the stone

E_t is the thermal energy

The thermal energy is actually equal to the work done by the air friction on the stone:

E_t=W=Fh

where

F is the average force of friction

h = 10 m

Since the total energy must be conserved, we can combine the three equations, so we find:

mgh=\frac{1}{2}mv^2+Fh

And solving for F, we find the average force of air friction:

F=\frac{mgh-0.5mv^2}{h}=\frac{(30)(10)-0.5(3.06)(13)^2}{10}=4.1 N

3 0
2 years ago
18 miles is what percent of 24 miles?
Gekata [30.6K]

Answer:

3/4

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4 0
3 years ago
Given parallelogram ABCD, find the lengths and angles required.
irakobra [83]

Answer:

x = 3, line AB = 17 ,  and line CD = 17

y = 10, angle A = 70, and angle D = 70

Step-by-step explanation:

well since their the same length you can put them equal to each otheir

5x + 2 = 8x - 7

subtract 5x by both sides to get --> 2 = 3x -7

add 7 to both sides and get --> 9 = 3x

divide 3 by both sides to get x = 3

now plug it back in each equation we started with and get you answers

Same steps for y but different equations

5 0
3 years ago
Read 2 more answers
I’m not sure what to do, this was what I got. Someone please help and solve problem #14 in the picture. Thanks!
mars1129 [50]

Answer:

  • x = 8
  • AM = BM = 16

Step-by-step explanation:

Your problem setup is correct. The triangle is isosceles, so the marked segments are the same length.

  3x - 8 = 2x

You can solve this by subtracting 2x (from both sides) ...

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Then adding 8 (to both sides):

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MB = MA = 2x = 16.

4 0
3 years ago
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