Answer:
17.7 cm^2
Step-by-step explanation:
The formula for finding the hypotenuse using the pythagorean theorem is:

or, it can also be
. But I will be using the first formula.
We first plug in the "legs" to the equation:


Now, you find the square root of 314.

And finally, just round to the nearest tenths place!

Linear it’s pretty simple
Answer: 6 inches
Step-by-step explanation:
From the question, we are informed that a map in Connecticut is drawn to a scale where 2 inches on the map represents 35 miles.
If Greenwich and stonington are 105 miles from each other, to calculate their distance on the map will be:
Since 2 inches represent 35 miles, then: 1 inch = 35miles/2 = 17.5 inches.
Since 1 inch = 17.5 inches;
105 inches will then be: 105inches/17.5 inches = 6 inches
Therefore, 6 inches represent 105 miles.
The volume we're looking for is the volume of both cones in the figure.
The volume of a cone is
.
So,
.
<u>Cone 1's variables:</u>
r = 2.6
h = 5
<u>Cone 2's variables:</u>
r = 2.6
h = 3
Now we can just plug and chug!
![V_{tot} = [(3.14)(2.6^2)(\frac{5}{3} )] + [(3.14)(2.6^2)\frac{3}{3} )]\\V_{tot} = [(3.14)(6.76)(1.67)] + [(3.14)(6.76)(1)]\\V_{tot} = (35.45) + (21.23)\\V_{tot} = 56.68](https://tex.z-dn.net/?f=V_%7Btot%7D%20%3D%20%5B%283.14%29%282.6%5E2%29%28%5Cfrac%7B5%7D%7B3%7D%20%29%5D%20%2B%20%5B%283.14%29%282.6%5E2%29%5Cfrac%7B3%7D%7B3%7D%20%29%5D%5C%5CV_%7Btot%7D%20%3D%20%5B%283.14%29%286.76%29%281.67%29%5D%20%2B%20%5B%283.14%29%286.76%29%281%29%5D%5C%5CV_%7Btot%7D%20%3D%20%2835.45%29%20%2B%20%2821.23%29%5C%5CV_%7Btot%7D%20%3D%2056.68)
V = c. 56.6 cubic units
I believe multiply then 3