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Andrej [43]
3 years ago
13

A copy machine makes 24 copies per minute. How long does it take to make 102 copies?

Mathematics
2 answers:
hammer [34]3 years ago
6 0

Answer:

4.25 minutes

Step-by-step explanation:

copy machine makes 24 copies within 1 minute

∴copy machine will make 1 copy within =(1/24) minute

∴copy machine will make 102 copy within = (102/24) minutes

                                                                      =4.25 minutes

Llana [10]3 years ago
4 0

Answer:

4.25 minutes

Step-by-step explanation:

102÷24=4.25

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Fudgin [204]

Answer:

12x8=96, GCF is 4, LCM is 24

Step-by-step explanation:

4 0
3 years ago
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a car travels along a straight road heading east for one hour, then traveling for 30 minutes on another road that leads northeas
My name is Ann [436]

Answer:

55.96 miles

Step-by-step explanation:

Distance = Speed X time

Car first moved east for 1 hr , distance = 40 x 1 = 40 miles

Car then moved north-east for 30 min, distance = 40 x 0.5 = 20 miles

From trigonometry,

sin 45 = \frac{y}{20} ; y = 20 sin 45 ; y= 14.14 miles

cos 45 = \frac{x}{20} ; x = 20 cos 45 ; x = 14.14 miles

using Pythagoras theorem;

z^{2} = y^{2} + (40+x)^{2}

    = 14.14^{2} + (40+14.14)^{2}

     = 3131.08

z^{2} = \sqrt{3131.08}

z = 55.96 miles

6 0
4 years ago
The figure below is made up of unit cubes that each have a volume of 1 cubic centimeter.
Shkiper50 [21]

Answer:

c. 11

Step-by-step explanation:

Bottom row: 6 cubes

middle row: 4 cubes

top row: 1 cube

11 cubes total.

7 0
2 years ago
If a circle is cut from a square piece of plywood, how much plywood would be left over? Use 3.14 for pi. one whole side is 28 in
morpeh [17]
<em>What you need to find is the extra amount of plywood. To do that, you must find the area of the square and the area of the circle and subtract them to find the answer.</em>

Formulas:
area of a square: A = bh
area of a circle: A = \pi r^2

square measurements:
b = 28
h = 28

circle measurements:
\pi (≈3.14)
r = 14 

A = (28)(28)
A = 784
area of square = 784 in^2

A = 3.14 (14^{2})
A = 3.14 (196)
A = 615.44 in^2

784 - 615.44 = 168.56
The amount of plywood left over is 168.56 in^2.

6 0
3 years ago
Solve 4 square root of 3 = 8cos
sukhopar [10]

Therefore \theta = 30^\circ

Step-by-step explanation:

Given,

4\sqrt{3 } =8 cos \theta

\Leftrightarrow cos \theta =\frac{4\sqrt{3} }{8}

\Leftrightarrow cos \theta =\frac{\sqrt{3} }{2}

\Leftrightarrow cos \theta =cos 30^\circ

\Leftrightarrow  \theta = 30^\circ

Therefore \theta = 30^\circ

4 0
3 years ago
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