Step-by-step explanation:
always try to bring fractions you need to compare to the same denominator (bottom number).
we have 9/10 of the pizza left.
then 4/5 if the pizza are eaten.
how to compare 9/10 with 4/5 ?
by bringing 4/5 also to a fraction of 10ths.
what do I need to multiply 5 with to get 10 ?
right, 2.
since we don't want to change the overall value of the original fraction, we need to multiply both levels (numerator and denominator) by that same factor :
4/5 × 2/2 = 8/10
aha !
that we can compare with 9/10.
so, when Lucas ate 4/5 (= 8/10) of the pizza, when there was originally 9/10 left, then we have 1/10 of the pizza left.
2(x-9)=7 solve and you would get the answer
Answer:
1.5m
Step-by-step explanation:
Let the length of the pathway across all its side be x. This means we are adding a length of 2x to both the length and breadth to 12+2x and 16+2x respectively.
The new area thus becomes:
(12+2x)(16+2x) = 285
24x + 32x + 192 + 4x^2 = 285
4x^2 + 56x + 192 = 285
4x^2 + 56x + 192 - 285 =0
4x^2 + 56x -93 = 0
4x^2 + 62x - 6x - 93 = 0
2x( 2x + 31) - 3(2x + 31) = 0
(2x - 3)(2x + 31) = 0
This means x = 3/2 or -31/2
Since length cannot be negative , we choose the first and neglect the second meaning our answer is 3/2 which is 1.5 meters
At least do number 3 so I can help with the rest. That ok with you?
Half the length of the curve which separates the 2 halves = 1/2 circumference of a circle with diameter 6 mm. = 1/2 * pi * d = 3pi mm
So the length of the line = 6pi = 18.85 mm to nearest hundredth. answer
The area of shaded region = 1/2 area of the circle = 1/2 pi r^2
= 1/2 * pi * 6^2
= 56.55 mm^2 to nearest hundredth answer
