Answer:
Step-by-step explanation:
<u><em>Using Pythagorean Theorem:</em></u>
=> 
Where c is hypotenuse, a is base and b is perpendicular and ( a, b = 4)
=> 
=> 
=> 
Taking sqrt on both sides
=> c = 5.7 units
Answer:
tTe answer is 1.96%
Step-by-step explanation:
given data
change in price/gain= $1.86
the closing price = $94.86
Required.
The percent rise.
Step two:
The formula for the percent rise is
=change/close price*100
substitute our given data
= 1.86/94.86*100
=0.0196*100
=1.96%
1st page: 580
2nd page: 576
in the 1st two pages: 580+576 = 1156
total word = 2000
total word = words written + words to write
2000 = 1156 + words to write
subtract 1156 from each side
2000-1156 = words to write
844 = words to write
Choice D
Answer:
X= 4
PQ= 8
QR= 8
Explanation:
As shown in the diagram, the line PR is made of the lines PQ and QR. Therefore, we can assume the equation PQ+QR=PR. When using the given values in the problem and substituting them in our equation, it becomes: 2X+4X-8=16 because PQ=2X, QR=4X-8, and PR=16. Here is how x is solved for:
2X+4X-8=16 (Original equation)
6X-8=16 (Simplify by adding 2X and 4X together)
6X=24 (Add 8 to both sides to isolate X)
X=4 (Divide both sides by 6, singling X out)
Referring back to how PQ=2X and QR=4X-8 we can solve for the each now that we know the value of X.
X=4
PQ= 2X= 2*4= 8
QR= 4X-8= 4(4)-8= 16-8=8
Additionally, we can check the answer by seeing if PQ and QR add to make the value of PR, which is given as 16. This proves to be correct as 8+8=16.
**Btw the diagram is not always going to look aligned to the values of the problem. Even though Q is not centered at the midpoint, PQ and QR are equal in value. Diagrams can be deceiving if not specified as to scale!**
