Answer:
1/2
Step-by-step explanation:
Given:
sinx=-1/2
cosy=√3/2
finding x
x=sin^-1(-1/2)
x=-π/6
x=-30°
finding y
cosy=√3/2
y=cos^-1(√3/2)
y=π/6
y=30°
Now finding cos(x-y)
cos(-π/6-π/6)
=cos(-π/3)
=1/2!
Answer:
27
Step-by-step explanation:
Let T be the capacity of the tank.
Since the tank was 1/3 full and ends up 7/9 full.
T -
T = 12
Simplifying the left side of the equation, tells us how much 12 gallons fills.
T = 12
Now we solve for T:
T = 12*9/4
T = 27
Answer:
21 quizzes
Step-by-step explanation:
Divide 15 by 5 to know how many 5 minutes are in 15 minutes.
![15 \div 5 = 3](https://tex.z-dn.net/?f=15%20%5Cdiv%205%20%3D%203)
5 minutes are spent for 7 quizzes.
5 × 3 minutes are spent for 7 × 3 quizzes.
![7 \times 3 = 21](https://tex.z-dn.net/?f=7%20%5Ctimes%203%20%3D%2021)
Mrs. Miklos can grade 21 quizzes in 15 minutes.
Answer:
![\mathsf {SA = 112 in.^{2} }](https://tex.z-dn.net/?f=%5Cmathsf%20%7BSA%20%3D%20112%20in.%5E%7B2%7D%20%7D)
Step-by-step explanation:
![\textsf {Formula used :}\\\implies \textsf {SA = 2(length * width + width * height + length * height) }](https://tex.z-dn.net/?f=%5Ctextsf%20%7BFormula%20used%20%3A%7D%5C%5C%5Cimplies%20%5Ctextsf%20%7BSA%20%3D%202%28length%20%2A%20width%20%2B%20width%20%2A%20height%20%2B%20length%20%2A%20height%29%20%7D)
![\textsf {Given :}\\\textsf {Length = 5 in.}\\\textsf {Width = 4 in.}\\\textsf {Height = 4 in.}](https://tex.z-dn.net/?f=%5Ctextsf%20%7BGiven%20%3A%7D%5C%5C%5Ctextsf%20%7BLength%20%3D%205%20in.%7D%5C%5C%5Ctextsf%20%7BWidth%20%3D%204%20in.%7D%5C%5C%5Ctextsf%20%7BHeight%20%3D%204%20in.%7D)
![\textsf {Solving :}](https://tex.z-dn.net/?f=%5Ctextsf%20%7BSolving%20%3A%7D)
![\implies \mathsf {SA = 2 (5 * 4 + 4 * 4 + 5 * 4)}](https://tex.z-dn.net/?f=%5Cimplies%20%5Cmathsf%20%7BSA%20%3D%202%20%285%20%2A%204%20%2B%204%20%2A%204%20%2B%205%20%2A%204%29%7D)
![\implies \mathsf {SA = 2 (20 + 16 + 20)}](https://tex.z-dn.net/?f=%5Cimplies%20%5Cmathsf%20%7BSA%20%3D%202%20%2820%20%2B%2016%20%2B%2020%29%7D)
![\implies \mathsf {SA = 2 (56)}](https://tex.z-dn.net/?f=%5Cimplies%20%5Cmathsf%20%7BSA%20%3D%202%20%2856%29%7D)
![\implies \mathsf {SA = 112 in.^{2} }](https://tex.z-dn.net/?f=%5Cimplies%20%5Cmathsf%20%7BSA%20%3D%20112%20in.%5E%7B2%7D%20%7D)