Scenario:
a worker needs to repair a window on the second floor of a building
He is outside 3 feet way from the building
He starts walking and when he reaches the wall he is lifted 4 feet until reaching the window
What is the distance from the window to the point where he has standing before he start walking ?
2))This path forms a right triangle.2 sides are known but not the hypotenuse
Formula a^=b^=c^
a=4 b=3 c=x (Hypotenuse)
3)
Substitute
4^+3^=X^
16+9=x^
25=x^
5=x
Hypotenuse=5
The sides of the triangle formed in this situation are
4,3,and 5
Re-written, I believe the equation is:
(W+23)+5=W+(23+5)
With this, the parenthesis have nothing multiplying into it, so we can drop the parenthesis to get:
W+23+5=W+23+5
Which is the same thing.
So I'd assume it is the Associative property, because you are combining the like terms of 23 and 5.
Hope this helps!
Answer:
4x + 6
Step-by-step explanation:
To determine what the numerator would be, after simplifying both fractions, take the following steps:
Step 1: Factorise the denominator of the first fraction, x² + 3x + 2.
Thus,
x² + 2x + x + 2
(x² + 2x) + (x + 2)
x(x + 2) +1(x + 2)
(x + 1)(x + 2)
We would now have the following as our new fractions to add together and simplify:
Step 2: find the highest common factor of the denominator of both fractions.
Highest common factor of (x + 1)(x + 2) and (x + 1) = (x + 1)(x + 2)
Step 3: To add both fractions, divide the highest common factor gotten in step 2 by each denominator, and then multiply the result by the numerator of each fraction.
Thus,
Therefore, the numerator of the simplified form sum of both fractions = 4x + 6
Steve will earn $160 interest after four years ⇒ 1st answer
Step-by-step explanation:
The formula of the simple interest is I = Prt, where
- P is the initial deposit
- r is the annual rate in decimal
- t is the time of investment
∵ Steve opens a bank account with a simple annual interest rate of 5%
∴ r = 5% = 5 ÷ 100 = 0.05
∵ His initial deposit is $800
∵ He will put the money for four years
∴ t = 4
- Substitute all these values in the formula above
∵ I = 800(0.05)(4)
∴ I = 160
Steve will earn $160 interest after four years
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