Answer:6
Step-by-step explanation:
We have three groups of cookies as follows:
24 oatmeal
36 vanilla bean
42 chocolate chip
If we breack down into factors we get
24 2 24 = 2³ * 3 36 2 36 = 2²*3³ 42 2 42 = 2*3*7
12 2 18 2 21 3
6 2 9 3 7 7
3 3 3 3 1
1 1
Fom where we can get that biggest common factor is 6
24 ÷ 6 = 4
36 ÷ 6 = 6
42 ÷ 6 = 7
Then Bakery will have 4 groups of oatmeal cookies, 6 of vanilla bean, and 7 chocolate chip
Answer:
https://www.ringgold.org/cms/lib/PA01916235/Centricity/Domain/227/Algebra%20I%20Keystone%20Review%20Packet%20Answer%20Key.pdf
there you go just a copy and a paste
Answer:
64 × pi m²
Step-by-step explanation:
the formulas needed for the surface area of a cone are :
base area plus the "mantle", the lateral "wall" around it.
the base area is a circle.
so, that formula is Ac = pi×r²
the "wall" formula is Aw = pi×r×s
r = radius
s = slant height = 12
the formula for the surface area of a sphere is
As = 4×pi×r²
we know now, that both surface areas are the same, and also the radius is the same for both objects.
Ac + Aw = As
pi×r² + 12×pi×r = 4×pi×r²
=>
12×pi×r = 3×pi×r²
12×pi = 3×pi×r
12 = 3×r
r = 4 m
now, we only need to use this value of r in our formulas for surface areas, like for the sphere :
4×pi×r² = 4×pi×4² = 4³×pi = 64×pi
Check the picture below.
includes 2, notice, it doesn't go below 2 over the y-axis, and then it keeps on going up. So, the range is from +2 onwards.
Answer:
area: 72 perimeter: 36
Step-by-step explanation:
area of big rectangle, 10x6=60
height of triangle:4 multiplied by 3 (6/2=3) =12 12+60=72
length of sides added together: 10+10+6+5+5=36
