5 is 4000 crickets ((((250) times 2) times 2) times 2) times two)
Answer:
5.44 cm³
Step-by-step explanation:
The volume of the hexagonal nut can be found by multiplying the area of the end face by the length of the nut. The end face area is the difference between the area of the hexagon and the area of the hole.
The area of a hexagon with side length s is given by ...
A = (3/2)√3·s²
For s=1 cm, the area is ...
A = (3/2)√3(1 cm)² = (3/2)√3 cm²
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The area of a circle is given by ...
A = πr²
The radius of a circle with diameter 1 cm is 0.5 cm. Then the area of the hole is ...
A = π(0.5 cm)² = 0.25π cm²
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The volume is the face area multiplied by the length, so is ...
V = Bh = ((3/2)√3 -0.25π)(3) . . . . . cm³
V = (9/2)√3 -0.75π cm³ ≈ 5.44 cm³
The volume of the metal is about 5.44 cm³.
Answer:
30 s
Step-by-step explanation:
When the ball hits the ground h=0. To find the time t when this happens we must solve the equation h=0.
●h= 0
● -12t^2+360t =0
● t(-12t +360) = 0
● t = 0 or -12t +360 =0
● t=0 or -12t = -360
● t=0 or 12t =360
● t=0 or t=360/12
● t=0 or t= 30
The equation has two solutions.
The ball was fired with an initial speed of 800 feet per second so it cannot hit the ground at t=0.
So the ball hits the ground after 30 s.
Answer:
Y=7+3x, x=-3, y=-2
Step-by-step explanation:
3x-5y=1. Equation 1
3x-y=-7. Equation 2
-y=-7-3x isolate for y in equation 2
y=7+3x multiplied by -1 to get positive y
3x-5(7+3x)=1 substitute y value of equation 2 (7+3x) into equation 1
3x-35-15x=1
-12x=36
x=-3
solve for y.
3x-5y=1
3(-3)-5y=1
-9-5y=1
-5y=10
y=-2
Answer:13
Step-by-step explanation:
