Ok so for the first one it’s super simple I’m gonna do it as less complicated so it can help you :)
So first we need to convert the mixed number to an improper fraction
1 4/5 = 9/5
Now we need to reduce the numbers greatest common divisor which is 3
3/5 x 6
Now multiply the numbers
Your answer is 18/5 I hoped this help
Now for the second one
this one is a little more complicated and I don’t know how to make it sound easier so I’m gonna tell you the answer which is 580/21
The last one is the same steps we did for the first one which is 27/20
I hoped this helped you it is a little difficult but you’ll get the hang of it :)
Answer:
<h2>1).</h2>
(5a3b)(2ab)
Expand
That's
15ab( 2ab )
we have the answer as
<h3>30a²b²</h3>
<h2>2).</h2>
5y(-y² + 7y - 2)
Expand
That's
<h3>- 5y³ + 35y² - 10y</h3>
Hope this helps you
<span>going downstream -
t = 14/(2 + v)
going upstream -
t = 7/(2 - v)
14/(2 + v) = 7/(2 - v)
(2 + v)/2 = 2 - v
v = 2/3km/h</span><span>
</span>
Answer: The correct answer is B; 10,240π in³
Step-by-step explanation: To calculate the volume of a cylinder, the given formular is
Volume = π r² h, where
radius (r) = 16
height (h) = 40
Pi (π) = 3.14
It is important to take note that in questions like these, the value of pi is usually given as 3.14 or 22/7. However, for this particular question, the answer should be expressed in terms of pi, (that is, the answer must include pi). For that reason we shall leave pi as it is, and we shall not use it's value when applying the formular.
Therefore, inserting the values of radius, height and pi into our formular, we now have;
Volume = π r² h
Volume = π x 16² x 40
Volume = π x 256 x 40
Volume = π x 10,240
Therefore the exact volume of the cylinder = 10,240π in³
Divide the pentagon into a triangle and rectangle.
Rectangle: 12in*6in=72in^2
Triangle: (12in*5in)/2=30in^2
72in^2+30in^2=102in^2