Step-by-step explanation:
Share 20pounds in the ratio 2:3
Total ratio=2+3=5
2/5×20=8
20-8=12
Sharing 20pounds in that ratio gives 8pounds:12pounds
Share 15cm in the ratio 1:3
Total ratio=1+4=4
¼×15=3.75
15-3.75=11.25
Sharing 15cm in that ratio gives 3.75:11.25
Answer:
72°
Step-by-step explanation:
From the question,
Area of the circle = πr²
A = πr²................. Equation 1
Where r = radius of the circle.
⇒ r = √(A/π)............. Equation 2
Given: A = 346.5 cm², π = 3.14
r = √(346.5/3.14)
r = √(110.35)
r = 10.5 cm.
Therefore,
circumference of the circle = 2πr = 2×3.14×10.5
circumference = 65.94 m
If the length of the arc(s) is 1/5 of its circumference.
Therefore, length of arc (s) = 13.188
⇒ length of arc/circumference = 13.188/65.94 = 1/5
s/2πr = θ/360
Where θ = angle substends at the center of the circle
1/5 = θ/360
θ = 360/5
θ = 72°
Answer:
387
Step-by-step explanation:
Formula: 
First, we define variables:
x: small hat
y: medium hat
z: large hat
We now write the system of equations:
x + y + z = 47
5.50x + 6y + 7z = 302
-3x + y = 0
We can write the system in matrix form as:
Ax = b
Where,
A = [1 1 1; 5.50 6 7; -3 1 0]
b = [47; 302; 0]
x = [x; y ; z]
Solving the system we have:
x = 6
y = 18
z = 23
Answer:
the coach did purchase 23 large hats
d. 23
4,500 mass. if you multiply 0.45 and 10,000 you'll get 4,500
