Remember y ou can do anything to an equation as long as you do it to both sides
get 1x by itself
8x-12=4x+24
add 12 to both sides
8x=4x+36
minus 4x from both sides
4x=36
divide both sides by 4
x=9
Answer:
I got 40210.1
Step-by-step explanation:
4,567.89+7,894.56=12462.45
12462.45+1,232.45=13694.9
13694.9+1,474.10=15169
15169+2,585.20=17754.2
17754.2+3696.36=21450.56
21450.56+3,214.56=24665.12
24665.12+6,545.65=31210.77
31210.77+7,898.78=39109.55
39109.55+1.100.55=40210.1
Answer: Yes they could.
Step-by-step explanation:
The two pairs of sides given are proportional: 3/7 : 9/21
The two triangles have the side:side ratio, meaning they are similar
Because they are similar, their hypotenuses <em>could</em> lie along the same line, not guaranteed, but possible.
Answer:
Step-by-step explanation:
Let the base camp is point A and boats' locations after two hours are points B and C.
By connecting the three points together we get a triangle ABC with sides:
- AB = 50*2 = 100 km
- AC = 70*2 = 140 km
The angle between AB and AC is:
- 60 + 50 = 110 degrees (opposite directions from south)
We are looking for the distance BC, which can be found by using the law of cosines:
- BC² = AB² + AC² - 2AB*AC*cos ∠BAC
- BC² = 100² + 140² - 2*100*140*cos 110°
- BC² = 39176.56 (rounded)
- BC = √39176.56 = 197.93 km (rounded)
The distance between the boats is 197.93 km.
