<span>7m + 2/8 = 2m - 1/3
(7m X 24) + (2/8 X 24) = (2m X 24) - (1/3 X 24)
168m + 6 = 48m - 8
120m = -14
m = -0.1166</span>
She swims for 2.5 hours at a rate of 2 km/hr
Multiply 2.5 * 2 = 5 km
Area of a cirlce=πr²
we have two radius:2r and r
area of the cirlce₁ + area of the circle₂=80 m²
area of the circle₁=π(2r)²
area of the circle₂=πr²
Then, we can suggest this quation:
π(2r)²+πr²=80
4πr²+πr²=80
π(4r²+r²)=80
π(5r²)=80
5πr²=80
r²=80/5π
r=√(80/5π)≈2.26
radius of the largest cirlce=2r=2(2.26)=4.51
Answer: the radius of the largest circle is 4.51 m
Answer:
48degrees
Step-by-step explanation:
From the circle geometry shown, traingle BDC is an isosceles triangle which shows means that their base angels are the same. Hence;
<B = <C
<CBD + <BCD + <D = 180
<BCD + <BCD + <D =180
2<BCD + <BDC = 180
Get <BCD;
<BCD+ <ECB = 90
<BCD + 48 = 90
<BCD = 90 - 48
<BCD = 42degrees
Get <BDC
2<BCD + <BDC = 180
2(42)+ <BDC = 180
84 + <BDC = 180
<BDC = 180 - 84
<BDC = 96
Since angle at the centre is twice that at the circumference, then;
<BAC = 1/2(<BDC )
<BAC = 96/2
<BAC = 48degrees
The answer is True. X=3,-3