Answer:
x= 0 y= 2
Step-by-step explanation:
6x+4y=12
6x+4(3x-6)=12
6x+12x-24=12
18x-24=12
+24 +24
18x=36
/18 /18
x=2
y=3x-6
y=3(2)-6
y=6-6
y=0
Answer:
Each marker will be exactly <u>103</u> miles apart.
Step-by-step explanation:
It is given that Ian wants to run 412 miles and has set up 3 markers the same distance apart.
Between the start and end of run, the 3 separate markers will divide the 412-mile distance into 4 equal segments.
So each segment = 412/4 = 103 miles
Each marker will be exactly <u>103</u> miles apart.
Answer:
A.) 2752.8 feet
B.) 5044.3 feet
C.) 6182.9 feet
Step-by-step explanation:
A.) Given that the camp to the base of the mountain is 2,000 feet. And the angle of elevation is 54 degrees
Using SohCahToa, to calculate the height
Tan 54 = height/2000
Height = 2000 tan54 = 2752.8 feet
B.) Given that the base of the mountain is 2600 feet wide.
Let use pythagorean theorem to find the slant length
Adjacent = 2600/2 = 1300 feet
Slant length = root ( 1300^2 + 2752.8^2)
Slant length = 3044.3 feet
The total distance that Jacob and his dad hiked from their campsite to the top of the mountain will be
3044.3 + 2000 = 5044.3 feet
C.) Given that the angle of depression is 24 degrees while the height is 2752.8 feet
Using pythagorean theorem again
Tan 24 = 2752.8/distance
Distance = 2752.8/tan24
Distance = 6182.9 feet
3.007 ounces per square meter
