Answer:
1/4
Step-by-step explanation:
First - Convert all fraction with the Greatest Common Factor of 12
12 1/2 = 150/12
4 1/4 = 51/12
2 2/3 = 96/12
Second - Subtract the patio wood and the total
150/12 - 51/12 - 96/12 = 3/12
Third - Simplify 3/12 to 1/4
1/4 of the total wood is left to build the frame of the birdhouse.
Answer:
Step-by-step explanation:
Given
length of shadow =22 ft
height of woman =5.5 ft
speed of woman
from the figure, we can write
at given instant
y=20 ft
so, using similar triangle properties
Again we can write
The two numbers that are distance 1.75 from 0 are the ones with absolute value 1.75.
_____
For many folks, the tricky part is figuring out where 1.75 is on this number line. Each tick mark represents a distance of 0.25 units, so 1.75 is at the tick mark between 1.5 and 2.0.
Answer:
The remainder theorem
Step-by-step explanation:
The remainder theorem states that given a polynomial f(x) and a linear factor x - k as in the question, then if f(x) is divided by x - k, then remainder is obtained at the value of x - k = 0 ⇒ x = k. That is, the remainder is f(k) when x = k.
For example, if we have a polynomial f(x) = x³ + 3x² -2x + 1 and a linear factor x - 1. The remainder theorem states that the remainder when f(x) is divided by x - 1 is obtained by equating the factor to zero and finding the value of x.
So, x - 1 = 0 ⇒ x = 1
Substituting x = 1 into f(x), we have
f(x) = x³ + 3x² -2x + 1
f(1) = 1³ + 3(1)² -2(1) + 1
= 1 + 3 - 2 + 1
= 3.
So, the remainder is 3.
Answer: 5.22m
Step-by-step explanation:
Using the rule of similar triangles where the the side lengths of two similar triangles are proportional
Parameters :
Tree height = t
Raul's height = 1.53m
Height of Raul's shadow = 8.73m
Total length of tree shadow = distance walked along tree shadow+ distance left to the end of tree shadow, Therefore,
Total length of tree shadow = 21.11 + 8.73 = 29.84m
Therefore,
Raul's ratio = tree's ratio
Raul's height : Raul's shadow = tree height : tree shadow
1.53 : 8.73 = t : 29.84
1.53/8.73 = t/29.84
1.53 × 29.84 = 8.73× t
t = 45.6552 / 8.73
t = 5.22m