Answer:
Both child tickets and senior tickets cost $14.
Step-by-step explanation:
Since the school that DeShawn goes to is selling tickets to the annual dance competition, and on the first day of ticket sales, the school sold 10 senior citizen tickets and 8 child tickets for a total of $ 252, while the school took in $ 280 on the second day by selling 10 senior citizen tickets and 10 child tickets, to determine what is the price of each of one senior citizen ticket and one child ticket, the following calculation must be performed:
10 senior tickets + 8 child tickets = 252
10 senior tickets + 10 child tickets = 280
280 - 252 = 2 child tickets
28 = 2 child tickets
28/2 = 1 child ticket
14 = 1 child ticket
14 x 10 = 140
(280 - 140) / 10 = senior tickets
140/10 = 14 = senior tickets
Therefore, both child tickets and senior tickets cost $14.
NO
Using the Pythagorean Theorem: 7^2 + 10^2 = c^2. c thus equals sqrt(149) = 12.206555
Answer:
m=slope =5.5
Step-by-step explanation:
(2)
you may choce (c)
y-y1=m (x-x1)
(3)
y-30=5.5 (x-10)
y-30=5.5x-55
move 30 other side
y=5.5x-55+30
y=5.5x-25
PLZ IF U LIVE IT MARK IT BRANLIEST
Refer to the diagram shown below.
In spherical coordinates,
r² = x² + y² + z²
x = r sinφ cos θ
y = r sinφ sin θ
z = r cosφ
The element of volume is
dV = r² sinφ dr dθ dφ
Therefore, for the sphere with radius = 3,
![\int (x^{2}+y^{2}+z^{2})^{2} dV = \int_{0}^{ \pi } d\phi \int_{0}^{2 \pi }d\theta \int_{0}^{3} (r^{4})r^{2} sin\phi \,dr](https://tex.z-dn.net/?f=%5Cint%20%28x%5E%7B2%7D%2By%5E%7B2%7D%2Bz%5E%7B2%7D%29%5E%7B2%7D%20dV%20%3D%20%5Cint_%7B0%7D%5E%7B%20%5Cpi%20%7D%20d%5Cphi%20%5Cint_%7B0%7D%5E%7B2%20%5Cpi%20%7Dd%5Ctheta%20%5Cint_%7B0%7D%5E%7B3%7D%20%28r%5E%7B4%7D%29r%5E%7B2%7D%20sin%5Cphi%20%20%5C%2Cdr%20)
The integration yields
![2 \pi \int_{0}^{ \pi } sin \phi \, d\phi \, [ \frac{r^{7}}{7} ]_{0}^{3} = 2 \pi [-cos\phi]_{0 }^{ \pi } (312.429) = 2 \pi (2)(312.429) = 1250 \pi](https://tex.z-dn.net/?f=2%20%5Cpi%20%20%5Cint_%7B0%7D%5E%7B%20%5Cpi%20%7D%20sin%20%5Cphi%20%5C%2C%20d%5Cphi%20%5C%2C%20%20%5B%20%5Cfrac%7Br%5E%7B7%7D%7D%7B7%7D%20%5D_%7B0%7D%5E%7B3%7D%20%3D%202%20%5Cpi%20%5B-cos%5Cphi%5D_%7B0%20%7D%5E%7B%20%5Cpi%20%7D%20%28312.429%29%20%3D%202%20%5Cpi%20%282%29%28312.429%29%20%3D%201250%20%5Cpi%20)
Answer: 1250π
Answer:
<em>One millimeter is equal to one-thousandth (1/1,000) of a meter</em>
Step-by-step explanation:
<em>which is defined as the distance light travels in an vacuum in a 1/299,792,458 second time interval.</em>