as the following pic you can see the answer.
#diameter is 8 so radius is 4
Well 12:2 is apples:loaves or A:L. So 12:2 is equivalent to 6:1 which is also equivalent to 30:5 or 30 apples:5 loaves
Answer:
2.86 hours = £26.57
Step-by-step explanation:
5 builders = 3.5 hours
<u>Express it in ratio form:</u>
5 : 3.5 (B1:H1)
<u><em>However, on Tuesday 2 builders(B2) are available. We can set up a proportion to find the number of hours.</em></u>
<u><em>Since This is an inverse proportion, it will be written like:</em></u>
=> B1:H1 = H2:B2
Where H2 = x(no. of hours)
=> 5 : 3.5 = x : 2
<u><em>Product of means = Product of Extremes</em></u>
=> 5*2 = 3.5x
=> 10 = 3.5 x
Dividing both sides by 3.5
=> x = 2.86 hours
<u><em>Now, On Tuesday:</em></u>
1 hour = £9.3
<u><em>For 2.86 hours,</em></u>
2.86 hours = £9.3 × 2.86
2.86 hours = £26.57
Answer:
$6
Step-by-step explanation:
she has $8 now
her parents let her earn $5
so you have to take the $5 from the $8
so $8 - $5 = 3
and she had spent half her allowance so you have to double the $3
$3 * 2 = $6
she has a weekly allowance of $6
Answer:
the ingegral I=π/4
Step-by-step explanation:
From the integral
I=∫0-1∫0-sqrt(1-y^2) (x^2 + y^2) dxdy
from polar coordinates
r²=x² + y²
then for r=1
√(1- y²) = x
for y=1 → x=0 , for y=0 → x=1
then the integration area is a hemisphere or radius r=1
therefore
I= ∫0-1∫0-sqrt(1-y^2) (x^2 + y^2) dxdy = (1/2)∫2π-0 ∫1-0 r² *r drdθ ( the additional r is due to the Jacobian of the transformation to polar coordinates , 1/2 because is an hemisphere so it would be the half of the value of the total sphere)
I= (1/2)∫2π-0 ∫1-0 r³drdθ = (1/2)∫2π-0 (1⁴/4 - 0⁴/4) dθ = (1/2)∫2π-0 (1/4)*dθ = (1/2)*(1/4)*2π = π/4
