Answer:
The total population = 9514.2857143 people.
Step-by-step explanation:
Let the total population be represented by X
In the question, we are told that,1332 people are under the age of 20 and this value = 14% of the total population.
Therefore, the total population is calculated as
14% of X = 1332
14/100 × X = 1332
14X/100 = 1332
Cross Multiply
14X = 1332 × 100
X = 1332 × 100/14
X = 9514.2857143
Therefore, the total population = 9514.2857143 people.
Answer:
Step-by-step explanation:
This is good! The length of the metal is 20 inches longer than the width. But we fold up 4-inch flaps on each side, so the height of the box is 4 inches, and the length and width will each decrease by 8 inches (4 inches on each side). Since the length and width decrease by the same amount, the length will still be 20 inches longer than the width. So the equations would be:
l = w + 20
vol = l x w x h = 1716 in3
1716 = (w + 20)(w)(4)
1716 = 4w2 + 80w
4w2 + 80w - 1716 = 0
4(w2 + 20w - 429) = 0
4(w + 33)(w - 13) = 0
w + 33 = 0, so w = -33
w - 13 = 0, so w = 13
Since the width can't be negative, the width of the box is 13 and the length is 33 (13 + 20).
But remember, the length and width of the piece of metal are each 8 inches longer than the box, so it was 41 inches by 21 inches.
Answer:
∠5 = 60°
∠6 = 30°
∠7 = 120°
Step-by-step explanation:
Since the polygon is regular, you know that the central angle (7) is 1/3 of the circle, or 120°. The angle 5 is half that measure, so is 60°, and the angle 6 is the complement of angle 5, so is 30°. (Angle 6 is also half the inscribed angle at each vertex, said inscribed angle being 120°/2 = 60°.)
∠5 = 60°
∠6 = 30°
∠7 = 120°
Answer:
Step-by-step explanation:
Zero property because you are using zeros to multiply