Answer:
27
Step-by-step explanation:
1^3 = 1
2^3 = 8
3^3 = 27
4^3 = 64
5^3 = 125
The missing number is 27.
Answer:
width =19 inches
length= 27 inches
Step-by-step explanation:
Let width be w inches so according to given scenario as length is 8 more than width so the equation becomes
l=8+w inches (Equation 1)
Area of Rectangle= L*w
Area= 513
L*w=513 (Equation 2)
Putting l's value from equation 1 in equation 2
(8+w)w=513
w^2+8w-513=0
Making Factors
w^2+27w-19w-513=0
w(w+27)-19(w+27)=0
(w-19)(w+27)=0
w=19, w=-27
as width cannot be negative so if we only consider w=19 then
l=8+19
l=27
Answer:
It would be B, Both are linear because the slope is a normal number like 4&-5)
Step-by-step explanation:
They are both linear because they are straight lines.
Answer:
a = 30
b = 40
C
Step-by-step explanation:
This requires that you use a proportion.
a / (a + 15) = 40 / 60
The small triangle's sides are in proportion to the large triangles sides.
Reduce the right. Divide top and bottom by 20
a/(a + 15) = 40/20 // 60/20
a/(a + 15) = 2/3
Cross multiply
3a = 2(a + 15) Remove the brackets on the right.
3a = 2a + 30
Subtract 2a from both sides
3a-2a = 30
a = 30
Find B
b is done exactly the same way.
b/(b+20) = 2/3
3b = 2b + 40
3b - 2b = 40
b = 40
This is the formula for the surface area of a cylinder including the ends, like the total surface area of a can of peas.
S = 2·π·r² + 2·π·r · H
Divide each side by 2·π·r :
S/2·π·r = r + H
Subtract r from each side :
H = (S/2·π·r) - r
or
H = (S - 2·π·r²) / (2·π·r)
