Answer:
20 green pencils
Step-by-step explanation:
The difference between black and green "ratio units" is 7 -5 = 2. The difference between red and blue ratio units is 3 -2 = 1. The sum of those differences is 2 +1 = 3 ratio units, which represent 12 pencils. Then each ratio unit represents 12/3 = 4 pencils.
The 5 ratio units of green pencils represent 5·4 pencils = 20 green pencils.
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If you need an equation, you can use k as the constant of proportionality. Then the sum of differences described is ...
(7k -5k) + (3k -2k) = 12
3k = 12 . . . . simplify
k = 4 . . . . . . divide by 3
5k = 5·4 = 20 . . . . . number of green pencils
Answer:
see explanation
Step-by-step explanation:
(1)
Calculate the circumference (C) of the wheel
C = πd (d is the diameter )
= 3.14 × 8 = 25.12 cm
Now divide the distance travelled by the circumference.
times rotated = 12560 ÷ 25.12 ≈ 500
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(2)
The area (A) of a circle is calculated as
A = πr² ( r is the radius )
Find r by using the circumference (C)
2πr = 50.24 ( divide both sides by 2π )
r = 50.24 ÷ 6.28 = 8 , then
A = 3.14 × 8² = 3.14 × 64 ≈ 200.96 ft² ( student 3 )
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(3)
C = πd = 3.14 × 30 = 94.2 ≈ 94 m
Answer:
The height of the tree=8.42 m
Step-by-step explanation:
We are given that
Height of Joshua, h=1.45 m
Length of tree's shadow, L=31.65 m
Distance between tree and Joshua=26.2 m
We have to find the height of the tree.
BC=26.2 m
BD=31.65m
CD=BD-BC
CD=31.65-26.2=5.45 m
EC=1.45 m
All right triangles are similar .When two triangles are similar then the ratio of their corresponding sides are equal.


Substitute the values



Hence, the height of the tree=8.42 m
Answer:
The volume is decreasing at a rate 20π cubic meter per hour.
Step-by-step explanation:
We are given the following in the question:
The radius is increasing at a rate 1 meter per hour.
The height is decreasing at a rate 4 meter per hour

At an instant time t,
r = 5 meter
h = 8 meters
Volume of cylinder =

where r is the radius and h is the height of the cylinder.
Rate of change of volume is given by:

Putting all the values we get,

Thus, the volume is decreasing at a rate 20π cubic meter per hour or 62.8 cubic meter per hour.
Answer:
2/1
Step-by-step explanation:
20/10 devided by 10 to both numbers