Answer: the original length of the piece of wood is 23 feet
Step-by-step explanation:
Let x represent the original length of the piece of wood.
He cuts 3 feet off the piece of wood. This means that the remaining length of wood would be
(x - 3) feet
he cuts the remaining length of wood into four equal parts. if each part is 5 feet long, it means that
(x - 3)/4 = 5
Cross multiplying by 4, it becomes
x - 3 = 4 × 5
x - 3 = 20
x = 23
Answer:
N(t)=N∗.5t/h where n(t) is amount of substance left, N = initial amount, t = current time, and h = half-life time.h = 24 hours t= 45 hours, N = 130mg
therefore, N(t)=130∗.545/24=35.44mg
Step-by-step explanation:
N(t)=N∗.5t/h where n(t) is amount of substance left, N = initial amount, t = current time, and h = half-life time.h = 24 hours t= 45 hours, N = 130mg
therefore, N(t)=130∗.545/24=35.44mg
Answer: The numerator is five
Step-by-step explanation:
A fraction has a numerator and a denominator denominator is on bottom and the numerators on top
Answer:
r = 16 units
Step-by-step explanation:
From the figure attached,
AB is the tangent drawn from a point A to the circle C.
BC = r [Radius of the circle]
Length of AC = (18 + r)
AB = 30
By the property of a tangent drawn to a circle,
"Radius of a circle and tangent are perpendicular to each other"
AB ⊥ BC
By applying Pythagoras theorem in ΔABC,
AB² + BC² = AC²
(30)² + r² = (r + 18)²
900 + r² = r² + 36r + 324
36r = 900 - 324
r =
r = 16 units
The equation of line is:
Further explanation:
The standard form of equation in point-slope form is:
Given equation is:
3x+2y=10
We have to convert it into point slope form, for which we have to isolate y on one side of equation
Comparing with standard form:
m = -3/2
As the new line is parallel to given line, their slopes will be equal
So,
To find the value of b, putting the given point (4,-5) in equation
Keywords: Point-slope form, equation of line
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