Answer:
36cm
Step-by-step explanation:
4.5+4.5 = 9
9*4 = 36cm
The volume of the spherical piece is 288.55 cm³.
Solution:
Diameter of the sphere = 8.2 cm
Radius of the sphere = 8.2 ÷ 2 = 4.1 cm
The value of π = 3.14
Volume of the sphere
= 288.55 cm³
The volume of the spherical piece is 288.55 cm³.
What we know:
Football field is 100 yards in length
End zones are 10 yards each in length
Perimeter between pylons is 306 2/3 yards
What we need to find:
a. Perimeter and area of one end zone
b. Perimeter and area of without end zones
c. Perimeter and area of playing field with end zones
First we need to find the measurements of the field between pylons using the perimeter of 306 2/3 yards. We already know the length is 100 yards so we need to find width (w).
P=2l + 2w
306 2/3=2 (100) + 2w
306 2/3= 200 + 2w
300 2/3-200=200-200+2w
106 2/3=2w
106 2/3/2=2/2w
53 1/3=w
a. Perimeter=2 (10)+2 (53 1/3)=126 2/3 yards
Area=10×53 1/3=533 1/3 yd²
b. Perimeter=2 (100)+2 (53 1/3)=306 2/3 yards
Area=100×53 1/3=5333 1/3 yd²
c. Perimeter=2 (120) + 2 (53 1/3)=346 2/3 yards
Area=120×53 1/3=6400 yd²
For this case we have to write the equation of the position of each one.
We have then:
For the robber:
For the marshall
:
By the time the marshall reaches the robber we have:
From here, we clear the time.
We have then:
Answer:
it takes the marshall to catch up to the robber about 2.7 hours.
<h3>
Answer: 162 degrees</h3>
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Explanation:
S = 180(n-2) is the formula used to find the sum of the interior angles for any convex polygon. In this case, n = 5 sides for a pentagon
S = 180(n-2) = 180(5-2) = 180*3 = 540 degrees is the sum of the angles of the pentagon.
The angles {2x, 3x, 4x, 5x, 6x} must add to 540
2x+3x+4x+5x+6x = 540
20x = 540
x = 540/20
x = 27
Which means
2x = 2*27 = 54
3x = 3*27 = 81
4x = 4*27 = 108
5x = 5*27 = 135
6x = 6*27 = 162 is the largest interior angle