Answer:
All three statements are true
Step-by-step explanation:
A shipping fee of 5% is charged online with every item purchased online
First let's just take each option and calculate them based on this, to see if the answers matched
Keith buys a 40 dollar book
40 x 0.05 = 2
Therefore there will be a two dollar fee on Keith's book
40 + 2 =42
The first statement is true
A chair costs $80
80 x 0.05 = 4
80 + 4 = 84
The second statement is true
George buys a 20 dollar calculator
20 x 0.05 = 1
20 + 1 = 21
The third statements are true
All three statements are true
Answer:
88 cm
Step-by-step explanation:
body to tail = length of body + length of tail
body to tail = 54 cm + 34 cm
body to tail = 88 cm
I don't know where the angle β is, so I will make the assumption that tanβ = h/r

V volume = 60
r radius = 2
h = r tanβ
Answer:
V(hemisphere) = 1072.3in^3
Step-by-step explanation:
To find the volume of a hemisphere, we will have to take the volume of a sphere as a whole and divide it by 2. This is because a hemisphere is half of a sphere.
The volume of a sphere is:
Let's plug in the radium of 8 into the equation and solve:
Now, divide it by 2
V(sphere) = (2144.660585)/2
V(hemisphere) = 1072.3in^3
I hope this helps!!
Answer:
The height is 12.9m
Step-by-step explanation:
First we have to find the distance from the corner of the flag to the opposite corner, for this we will use Pythagoras
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides
h² = s1² + s2²
h² = 10² + 20²
h² = 100 + 400
h² = 500
h = √500
h = 22.36
Now that we know this measurement we can calculate the height of the flagpole
well to start we have to know the relationship between angles, legs and the hypotenuse
α = 30
a: adjacent = 22.36
o: opposite = ?
h: hypotenuse
sin α = o/h
cos α= a/h
tan α = o/a
we see that it has (angle, adjacent, opposite)
is the tangent
tan α = o/a
tan 30 = o/22.36
tan30 * 22.36 = o
12.9 = o
The height is 12.9m