We are given the height of Joe which is 1.6 meters, the length of his shadow is 2 meters when he stands 3 meters from the base of the floodlight.
First, we have to illustrate the problem. Then we can observe two right triangles formed, one is using Joe and the length of the shadow, the other is the floodlight and the sum of the distance from the base plus the length of the shadow. To determine the height of the floodlight, use ratio and proportion:
1.6 / 2 = x / (2 +3)
where x is the height of the flood light
solve for x, x = 4. Therefore, the height of the floodlight is 4 meters.
Answer:
-3, -1, 1, 7
Step-by-step explanation:
took the test. Now i have to retake it ;(
Answer:
(y-2)÷3=x
Step-by-step explanation:
y=3x+2
y-2=3x
(y-2)÷3=x
This answer could also be written as a fraction: y-2 over 3, equals x.
Answer:
28..
Step-by-step explanation:
divide 35 by 1 1/4...
Answer:
200 adults
Step-by-step explanation:
We can set-up a system of equations to find the number of adults. We know children and adults attended. We will let c be the number of children and a be the number of adults. Since 200 people attended, then c+a=200.
We also know they made $800 and adult tickets cost $4 and child tickets cost $2. We can write 2c+4a=800.
We will solve by substituting one equation into the other. We start by solving the first equation for c. c+a=200 becomes c=200-a.
Now we substitute c=200-a into 2c+4a=800. Simplify and isolate the variable a.
- 2(200-a)+4a=800
- 400-2a+4a=800
- 400+2a=800
- 400-400+2a=800-400
- 2a=400
- a=200
This means that 200 adults attended and 0 children attended.
