Answer:
- The value of z to balance the hanger is 2.75.
Step-by-step explanation:
<u>We know that:</u>
- 11 = 4z (In balanced form)
To balance the hanger, we must find the value of z such that if z is multiplied by 4, it will equal 11.
<u>Work:</u>
- 11 = 4z
- => z = 11/4
- => <u>z = 2.75</u>
Hence, the value of z to balance the hanger is 2.75.
Answer:
About 5.73 cm
Step-by-step explanation:
C=2πr so
36=2πr (divide by 2)
18=πr (using 3.14 as π)
18=(3.14)r (divide by 3.14)
r=5.732484076 so
R≈5.73 cm
The Triangle Sum Theorem states that the sum of the angles of a triangle equal 180°.
Therefore,
45° + 62° + k = 180
107° + k = 180
k = 73°
The value of k is 73°
Answer:
the number of of litres of paint to the nearest litre for 1000 bars is 1 litre
Step-by-step explanation:
Given that:
1000 cylindrical metal bars have :
a length of 120 m
and a diameter of 0.2 m
The volume of the cylindrical bar can be calculated by the formula:

where ;
radius 

r = 0.1 m
the length of the cylindrical metal bars is equal to the height of the metal bar = 120 m
Thus the volume can now be calculated as follows:

V = 3.77 m³
So; from the given information.
One litre of paint will cover 4m³
and we want to find how many litres of paint will be used for the 1000 cylindrical bars.
If 1 litre = 4m³
Then x litre = 3.77 m³
4x = 1 × 3.77

x = 0.9425 litres
x = 1 litres to the nearest litres.
Thus ; the number of of litres of paint to the nearest litre for 1000 bars is 1 litre
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