Answer:
1.80 in^3
1.0 fluid ounces^3
Step-by-step explanation:
volume of a cone = 1/3 πr²h
π = 3.14
r = 2.2 / 2 = 1.1
h = the value of h can be determined using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
1.8² = 1.1² + b²
3.24 = 1.21 + b²
3.24 - 1.21 = b²
2.03
b = √2.03 = 1.42
Volume = 1/3 x 3.14 x 1.21 x 1.42 = 1.80 in^3
1.80 x 0.554 = 1.0 fluid ounces^3
You multiply -21 by 14 to find x, and that would be -21 x 14 = -294, and that is your answer.
Remark
Make up a proportion that relates the tree and its properties to the stick and its properties.
Givens
Stick height (s_h) = 4
Stick shadow(s_s) = 2
Tree shadow = t_s = 18
Tree height = x
Formula
s_h / s_s = x / t_s
Substitute and solve.
4/2 = x / 18 Cross multiply
4*18 = 2 * x
72 = 2x Divide by 2
72/2 = x
x = 36
The height of the tree is 36 feet.
Answer:
y = 1/3x + 8
Step-by-step explanation:
*perpendicular means the reciprocal slope of the given line
m = 1/3
y = 1/3x + b
*plug in points with the point-slope equation
10 = 1/3(6) + b
10 = 2 + b
b = 8
*now plug everything into the equation
y = 1/3x + 8
Answer: 6x*9
Step-by-step explanation:
open parathesises to
x+1*x-3*x+4*3x+7
combine like terms
6x*9
you can’t simplify further so bam
hope i did this right and it helps :)
