Answer:
1000 runners
Step-by-step explanation:
Take total number of runners to be -----------x
90% of x managed to complete the marathon= 90/100 × x =0.9x
30% of those who completed the marathon were men= 30% × 0.9x
=0.3×0.9x= 0.27x
=270 men completed the marathon; this means
0.27x=270--------------------------------find x by dividing both sides by 0.27
x= 270/0.27
x=1000 runners
Answer:
A
Step-by-step explanation:
square root of 73 is about 8.5
square root of 10 is about 3. multiply by 3, you get 9.
square root of 7 is about 2.6. multiply by 5, you get 13.
when determining if you can make a triangle, if all variants of two sides can add up to be greater than the third side, you can make the triangle. so 8.5+9 > 13; 13+9 > 8.5; 13+8.5 > 9. this means it can make a triangle and all you have to do is order the sides.
8.5 is smallest which corresponds to angle c because it's opposite. 9 goes to angle a, then finally 13 goes to angle b. thus, angles c, a, b is the order.
side note: the smallest side length will always correspond with the smallest angle.
hope this helps :)
Answer:
B.
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer:
As given in the question, we know that:
The ratio of the area of the circle to the area of the square is π/4
- The formula to find the volume of the cone is:
V = 1/3*the height*the base area
<=> V1 = 1/3*h*π
- The formula to find the volume of the pyramid is:
V2 = 1/3*the height*the base area
<=> V = 1/3*h*4
=> the ratio of volume of the cone to the pyramid is:
= 
= (1/3*h*π
) / ( 1/3*h*4
)
= π/4
S we can conclude that the volume of the cone equals π/4 the volume of the pyramid
Hope it will find you well.
$4.05/1.8 oz= $2.25 per oz
Final answer: $2.25 per oz
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