Answer: 8 batches
explanation: 5 1/3 divided by 2/3 equals 8. To find out how many batches were made, you need to divide the total amount used by the amount needed for one batch.
Answer:
35ft squared
Step-by-step explanation:
First lets try solving the rectangular middle part
Width is 3 ft
Height is 5ft + 4ft = 9ft
3*9ft= 27ft. This is area of middle rectangular section
For the triangle, we subtract 3 from the rectangle from 11ft and divide by 2 because the two triangle on the edges are the same.
11-3=8
8/2=4
Triangle area formula = Base*Height / 2
4*4/2
16/2
4ft squared
and the other triangles area is also 4ft squared because they are congruent. So you add all the sections of the area up
27ft+4ft+4ft=35ft squared
35ft squared is the answer.
Hope this helps :)
Answer:
(x-1)²+ (y-0.5)²=6.25
Step-by-step explanation:
<u>The standard form of equation of a circle is;</u>
(x-a)²+(y-b)²=r² where (a,b) are the center of the circle and r is the radius
<u>Finding the mid-point of the given points</u>
(-1,2) and (3,-1)⇒midpoint will be 1/2(x₁+x₂) , 1/2(y₁+y₂)
midpoint= {1/2(-1+3), 1/2(2+-1)}
midpoint=(1,0.5)
<u>Finding the radius r; the distance from the center to either of the given two points</u>
Apply the distance formula d=√ (x₂-x₁)² +(y₂-y₁)²
Taking (x₁,y₁) as (1,0.5) and (x₂,y₂) as (-1,2) then
d=√ (-1-1)² +(2-0.5)²
d= √ (-2)²+(1.5)²
d=√4+2.25⇒√6.25⇒2.5
r=2.5
<u>Equation of the circle</u>
(x-1)² + (y-0.5)²=2.5²
(x-1)²+ (y-0.5)²=6.25
Answer:
irrational
Step-by-step explanation:
Answer:
its the second one
Step-by-step explanation:
