Answer: 15 inches is the height of Keisha's fish tank.
Step-by-step explanation: Basically, multiply your length x width, which is 12 x 10. 12 x 10 = 120.
Next, divide 1800 by 120.
1800 divided by 120 is 15.
So, 15 inches is the height of the fish tank.
An exponential function can be expressed as:
y=ab^x we have two points so we can solve
64/8=(ab^4)/(ab^1)
8=b^3
2=b, now we have:
y=a(2^x), using point (4,64)
64=a(2^4)
64=16a
4=a so
y=4(2^x)
Answer:
5.0 ft - 5.6 ft
Step-by-step explanation:
Given that the structure is to be made using two 12 foot boards, then we expect the total perimeter to be equal to (2*12)= 24 ft.
Using the angle of elevation, 40° and the width of 8 ft then you can apply the formula for tangent of a triangle where ;
Tan α = opposite side length/adjacent length
Tan 40°= h/8
h= 8 tan 40° = 6.71 ft
Applying the cosine of an angle formula to find the length of the sliding side
Cosine β = adjacent length /hypotenuse
Cosine 40°= 8/ sliding side length
sliding side length = 8/cosine 40° =10.44 ft
Checking the perimeter = 10.44 +8+6.71= 25.15 ft
This is more than the total lengths of the boards, so you need to adjust the height as;
24 - 18.44 = 5.56 ft ,thus the height should be less or equal to 5.56 ft
h≤ 5.6 ft
Answer:
60 cm
Step-by-step explanation:
2x the width and 2x the length gives you the perimeter. This can be represented by the equation:
2w + 2L = P
Use the information given in the word problem to fill in the variables.
2(59) + 2L = 238
118 + 2L = 238
move 118 to the other side of the equation.
2L = 238 - 118
2L = 120
move 2 to the other side of the equation.
L = 
L = 60
Answer:
3x
Step-by-step explanation:
3 . x is 3x
