Answer:
Step-by-step explanation:
) Nth term = F + (N - 1) x D, where F=First term, N=Number of terms, D=Common difference
6th row = 23 + (6 - 1) x -3
= 23 + (5) x -3
= 23 + (-15)
= 8 - number of boxes in the top row.
b) Sum = N/2[2F + (N - 1) x D]
= 6/2[2*23 + (6 - 1) x -3]
= 3 [46 + (5) x -3 ]
= 3 [46 + -15 ]
= 3 [ 31 ]
= 93 - total number of boxes in the entire display.
Answer:
2√2
Step-by-step explanation:
<u>By </u><u>using </u><u>trigonometry,</u>
sin 45° = x/4
x = 4sin 45°
x = 2√2
<u>By </u><u>using </u><u>Pythagorean</u><u> </u><u>theorem</u><u>,</u>
Since you know that it is an isosceles triangle and it's also a right-angled triangle,
4² = x² + x²
16 = 2x²
x² = 8
x = √8
= 2√2
Answer: Area of sidewalk is 217m²
Step-by-step explanation:
The formula for determining the area of a circle is expressed as
Area = πr²
Where
r represents the radius of the circle
π is a constant whose value is 3.14
A circular flower bed is 20 meters in diameter.
radius = diameter/2 = 20/2 = 10 meters
Area of the flower bed = 3.14 × 10²
= 314m²
The circular flower bed has a circular sidewalk around it that is 3 meters wide. This means that the total diameter would be
3 + 20 + 3 = 26m
Radius = 26!2 = 13m
Total area = 3.14 × 13² = 530.66m²
Therefore, area of the sidewalk is
530.66 - 314 = 216.66
The area of sidewalk is 217m² to the nearest whole number
Answer:
13/20 = 65%
Step-by-step explanation:
1/4 = 25%
7/10 = 70%
13/20 = 65%
Only the last one had the correct percentage.
