Answer:
Area of triangle is 9.88 units^2
Step-by-step explanation:
We need to find the area of triangle
Given E(5,1), F(0,4), D(0,8)
We will use formula:

We need to find the lengths of side DE, EF and FD
Length of side DE = a = 
Length of side DE = a = 
Length of side EF = b = 
Length of side EF = b = 
Length of side FD = c = 
Length of side FD = c = 
so, a= 8.60, b= 5.8 and c = 4
s = a+b+c/2
s= 8.6+5.8+4/2
s= 9.2
Area of triangle=
So, area of triangle is 9.88 units^2
Answer:
3
Step-by-step explanation:
Drink mix ratio:
Lemonade : Orange : Cranberry
6 : 3 : C
Fraction of Cranberry juice = 
Sum of the ratio = 6 + 3 + C = 9 + C
Fraction of Cranberry;
=
3(9 + C) = 12C
27 + 3C = 12C
27 = 12C - 3C
9C = 27
C = 3
The missing number will be 3
569.65...assuming that your rounding up.
I forgot to move the decimal 4 spaces.
to get the answer multiply 568.00
X .29
_________
1.6472
round 1.647 to 1.65 then add that to 568.00
Factoring this equation would get you (x+21)(x+1)
Answer: The company can build 10 child bikes and 12 adult bikes in the week .
Step-by-step explanation:
Let 'c' be the number of child bike and 'a' be the number of adult bike.
According to the problem
The restriction of building time for a week is 4c+6a≤120 hours.........(1)
and the restriction of testing time for a week is 4c+4a≤100 hours...............(2)
Lets check whether company can build c=10 and a=12 bikes in a week by putting this value in (1) and (2)
(1)......4(10)+6(12)=40+72=112≤120 ⇒Restriction of building time is satisfied.
(2)......4(10)+4(12)=40+48=88≤100⇒Restriction of testing time is satisfied.
Hence, the company can build 10 child bikes and 12 adult bikes in the week,as order is meeting with the restrictions.