Answer:
160 feet
Step-by-step explanation:
In order to solve this, we need to realize that the mile is being divided into 33 equal parts. Therefore our operation should look like this:
5,280 (the number of feet in 1 mile) / 33
5,280/33=160
The posts are 160 feet apart from each other.
HTH :)
Answer:
$147
Step-by-step explanation:
so to find 20% I usually divide the original cost by 100 to get 1% then multiply that number by 20.
in this case 122.50/100= 1.225, 1.225x20 = 24.5
24.5 + 122.50 = 147
Answer:
V = 21145.01 mm³
Step-by-step explanation:
Given that:
The radius of the gumball = 30 mm
The radius of the spherical hollow-core = 28 mm
Consider the radius of the gumball to be 
and the radius of the spherical hollow-core to be 
. Then;
The volume of the gumball can be determined by using the formula of a sphere.
V = 21145.01 mm³
The measure of ∠BAF is 54°.
Solution:
DF and CE are intersecting lines.
m∠EAF = 72° and AB bisects ∠CAF.
∠EAF and ∠DAC are vertically opposite angles.
Vertical angle theorem:
<em>If two lines are intersecting, then vertically opposite angles are congruent.</em>
∠DAC ≅ ∠EAF
m∠DAC = 72°
<em>Sum of the adjacent angles in a straight line = 180°</em>
m∠DAE + m∠EAF = 180°
m∠DAE + 72° = 180°
Subtract 72° from both sides.
m∠DAE = 108°
∠CAF and ∠DAE are vertically opposite angles.
⇒ m∠CAF = m∠DAE
⇒ m∠CAF = 108°
AB bisects ∠CAF means ∠CAB = ∠BAF
m∠CAB + m∠BAF = 108°
m∠BAF + m∠BAF = 108°
2 m∠BAF = 108°
Divide by 2 on both sides, we get
m∠BAF = 54°
Hence the measure of ∠BAF is 54°.
