Answer:
Step-by-step explanation:
Circum center of a right isosceles triangle is located on the midpoint of the hypotenuse.
Circumcenter of a triangle is point where the perpendicular bisectors of the sides of triangles intersect. Keeping this as a center, you can draw a circle & all the three vertices of the triangle lies on the circumference of the circle. Circumcenter is equal distance from the vertices of the triangle.
For acute triangle, circumcencenter will be inside the triangle.
For obtuse triangle, circumcenter will be outised the triangle.
Answer:
In order for it to benefit his father to buy the pass Seth have to attend the movies for 11 times.
Step-by-step explanation:
Given:
Cost of movie pass = $40
Cost per matinees with pass = $1.00
Cost per matinees without pass = $3.50
To Find:
Number of times must Seth attend in order for it to benefit his father to buy the pass = ?
Solution:
Let x be the number of times he wants to visit
To profit his father
The number of visits without pass = the number of visits with passin the cost of $3.50
Then, without pass if he visits for x times then the cost will be = 3.50x
Also with pass, the number of times he can visit the pass = 
then



x = 11.42
x = 11 (approx)
Answer:
11/24 cup
Step-by-step explanation:
What you would do is add 1/8 plus 1/3. To add two fractions, each much have the same denominator. In this case, you would need to multiply 1/8 into 3/24 by multiplying 1/8 by 3 on the denominator and numerator. For 1/3, multiply each the numerator and denominator by 8 getting the fraction 8/24. Now you can line up each fraction and add the numerators, keeping the denominator at 24. That answer would be 11/24. This cannot be simplified, so the answer is 11/24 cup of food.
Whenever you are confused with assignments, it is best to tell your parent to help you or teacher the next day. Hope this helps though!
Answer:
$100.80
Step-by-step explanation:
Total money = 28.80 (Jasmine) + 2.5 x 28.80 (Sister)
Total money = 28.80 + 72 = $100.80
so, if you notice the inscribed regular pentagon, it "emits" 5 radii from the center of the circle, making 3 equal angles.
well, a circle has a total of 360°, so each angle must then be 360°/5, or 72°.
if we notice the line on the right-side, the diameter of the circle is 16 units, meaning its radius is 8 units.
so a shaded section is really just the area of a segment of a circle with an angle of 72° and a radius of 8, keeping in mind we have 3 segments there.
![\bf \textit{area of a segment of a circle}\\\\ A=\cfrac{r^2}{2}\left[ \cfrac{\pi \theta }{180}~~-~~sin(\theta ) \right]~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\ ------\\ r=8\\ \theta =72 \end{cases} \\\\\\ A= \cfrac{8^2}{2}\left[ \cfrac{\pi(72) }{180}~~-~~sin(72^o ) \right]\implies A=32\left[ \cfrac{9\pi }{10}~~-~~ \stackrel{\approx}{0.95}\right] \\\\\\ A\approx 9.7785774445044391446\qquad \qquad \stackrel{3~segments}{3A\approx 29.3357323335133174}](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Barea%20of%20a%20segment%20of%20a%20circle%7D%5C%5C%5C%5C%0AA%3D%5Ccfrac%7Br%5E2%7D%7B2%7D%5Cleft%5B%20%5Ccfrac%7B%5Cpi%20%5Ctheta%20%7D%7B180%7D~~-~~sin%28%5Ctheta%20%29%20%5Cright%5D~~%0A%5Cbegin%7Bcases%7D%0Ar%3Dradius%5C%5C%0A%5Ctheta%20%3Dangle~in%5C%5C%0A%5Cqquad%20degrees%5C%5C%0A------%5C%5C%0Ar%3D8%5C%5C%0A%5Ctheta%20%3D72%0A%5Cend%7Bcases%7D%0A%5C%5C%5C%5C%5C%5C%0AA%3D%20%5Ccfrac%7B8%5E2%7D%7B2%7D%5Cleft%5B%20%5Ccfrac%7B%5Cpi%2872%29%20%20%7D%7B180%7D~~-~~sin%2872%5Eo%20%29%20%5Cright%5D%5Cimplies%20A%3D32%5Cleft%5B%20%5Ccfrac%7B9%5Cpi%20%7D%7B10%7D~~-~~%20%5Cstackrel%7B%5Capprox%7D%7B0.95%7D%5Cright%5D%0A%5C%5C%5C%5C%5C%5C%0AA%5Capprox%209.7785774445044391446%5Cqquad%20%5Cqquad%20%5Cstackrel%7B3~segments%7D%7B3A%5Capprox%2029.3357323335133174%7D)