Answer:
a) 0.012ft³
b)2.09 lb
c)0.791 lb
d) 0.012ft³
e) 6 inches
Step-by-step explanation:
a) To determine the volume of the shell of the jar we must determine the volume of the hollow cylinder:
Where r is the inside radius and R the outer radius.
convert to cubic ft:
The volume of the glass shell is 0.012 ft³
b) The weight of the cylinder can be determined because we have the volume and the density. Weight is defined as the product of volume and density:
The weight of the jar is 2.09 lb
c) The displacement of water is just the density of water mutliplied by the volume of the jar:#
0.791 lb of water will be displaced.
d) The volume of the water displaced is:
[tex]=0.791/62.5=0.01266
e) The jar will be fully submerged because the density of the jar is larger than water.
Answer:
<D = 100
<E =30
<F =50
Step-by-step explanation
Given that triangles triangle ABC and triangle DEF are similar, this means that their angles are congruent i.e
<A = <D
<B = <E
<C = <F
Given
<A = 100 then <D = 100
<B = 30°, then <E = 30°
To get <F, we will use the expression
<D+<E+<F = 180 (sum of angles in a triangle is 180°)
100+30+<F = 180
130+<F = 180
<F = 180-130
<F = 50°
Hence the measure of <F is 50°
Answer:
113.04 cm³
Step-by-step explanation:
diameter = 6cm
so radius = 3cm
Volume of sphere = 
= 4 * 3.14 * 3 * 3 *3 / 3
= 4 * 28.26
= 113.04 cm³
A perimeter of a rectangle is:
They give you the width, but let's convert it to an improper fraction first:
The length is twice the width so it is:
Now, we are ready to solve, plug in values in the perimeter formula:
So, 40 is your answer.
7/10 m= 0.7 m
4.1÷0.7=5.85
You would round down 5.85 to just 5, because he cannot cut less than a whole strip.
To find the exact amount of wire used in 5 strips:
5×0.7= 3.5
4.1-3.5= 0.6 m will be leftover.
