Hello :
<span>7979 °=360°× 22 + 59°
</span><span> the complement of a 7979degrees° is : x
x+</span>59°=180°
x= 180°-59° =121°
<span>2 inches = 25 miles
?,,,,,,,,,,,,,,,</span><span>60 miles
</span>
60 x 2 / 25 = 4.8 inches
<span>1/4 = 0.25 inches
0.25 x 25 / 2 = 3.125 miles
answer
</span><span>How many inches on the map represent 60 miles?
Enter your answer in the box.
answer: </span>4.8 inches
<span>
Part B
How many miles are represented by 1/4inch on the map?
Enter your answer in the box.
</span>answer: 3.125 miles
Answer:
The sum of the numbers in each circle is 17
Step-by-step explanation:
The numbers to choose from are:
2, 3, 5, 7
By this alone the biggest number must be in the overlap of the three circles.
Then just fill in the numbers in such a way that they all are used.
The sum of the numbers in each circle is 17.
See picture for a solution.
if the sphere has a diameter of 5, then its radius is half that, or 2.5.
![\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=2.5 \end{cases}\implies V=\cfrac{4\pi (2.5)^3}{3}\implies V=\cfrac{62.5\pi }{3} \\\\\\ V\approx 65.44984694978736\implies V=\stackrel{\textit{rounded up}}{65.45}](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bvolume%20of%20a%20sphere%7D%5C%5C%5C%5C%20V%3D%5Ccfrac%7B4%5Cpi%20r%5E3%7D%7B3%7D~~%20%5Cbegin%7Bcases%7D%20r%3Dradius%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20r%3D2.5%20%5Cend%7Bcases%7D%5Cimplies%20V%3D%5Ccfrac%7B4%5Cpi%20%282.5%29%5E3%7D%7B3%7D%5Cimplies%20V%3D%5Ccfrac%7B62.5%5Cpi%20%7D%7B3%7D%20%5C%5C%5C%5C%5C%5C%20V%5Capprox%2065.44984694978736%5Cimplies%20V%3D%5Cstackrel%7B%5Ctextit%7Brounded%20up%7D%7D%7B65.45%7D)
Negative 5
means put a point 5 units to the left of 0
C is answer