Answer:
4/5
Step-by-step explanation:
Sin = Opposite / Hypotenuse
Note that hypotenuse = longest side
We want to find sinФ
The opposite side length of angle "Ф" has a length of 8 and the longest side or hypotenuse has a length of 10
So sinФ would equal 8/10 which can be simplified to 4/5
A toy company needs to profit at least $500 from selling cars and trucks. A car can make a profit $2 while the truck can $3 profit.
let x be the number of cars
let y be the number of truck
If 200 resources for the car per week, we have:
Profit = $2x + $3y
$500 = $2*200 + $3*y
$500 - $400 = $3y
100 = 3y
y =100/3 = 33.33
The number of trucks needs to produce per week is at least 34 pieces.
A triangle always adds up to 180 degrees total. Therefore the triangle is 70 + 26 + C = 180. Solving for C you would get 84 degrees.
Answer:
the cost of brand x dog food is $2
Step-by-step explanation:
Let brand X dog food be represented as A
Let Brand Y dog food be represented as B
3 bags of Brand X dog food and 4 bags of Brand Y dog food costs $18,
3A+4B=18
4 bags of Brand X dog food and 3 bags of Brand Y dog food costs
$17.
4A+3B= 17
Using Elimination method
Multiply
- 3A+4B=18 by coefficient of B in equ ii (3) = 9A+12B=54
- 4A+3B= 17 by coefficient of B in equ i (4) = 16A+12B=68
- subtract equation i from equation ii, since sign is the same in both equations
- 9A+12B-(16A+12B)= 54-68
- open bracket
- 9A+12B-16A-12B= 54-68= -14
- 9A-16A+12B-12B= -14
- -7A= -14
- divide both sides by -7
A = -14/-7= 2
Since the brand X dog food is represented as A
the cost of brand x dog food is $2
