Answer:
1560 in^2
Step-by-step explanation:
10x22 = 220 bottom rectangle
1/2(10)(24) = 120 side triangle
22x26 = 572 front rectangle
24x22 = 528 back rectangle
220+120+120-572+528= 1560
Shea bought 13.5 pounds of corn
c = pounds of corn
b = pounds of beans
Here’s what we know:
c(0.99) + b(0.45) = 18.09
c + b = 24
Solve the second equation for c in terms of b
c = 24-b
Substitute that expression for c in our first equation to get a numerical solution for b:
0.99 (24-b) + 0.45b = 18.09
23.76 - 0.99b + 0.45b = 18.09
-0.54b = -5.67
b = 10.5
Substitute that value to get a numerical value for c:
c = 24 - b
c = 24 - 10.5
c = 13.5
Check the math:
0.99(13.5) + 0.45(10.5) =
13.365 + 4.725 = 18.09
The distance a person would travel on the escalator stairs is 72 ft.The horizontal length needed is approx. 62.35, but in simpliest radical form it's 36√3! Good luck!!!!!!!!!!! <3
Answer:
a = 3, b = 0, c = 0, d = -2
Step-by-step explanation:
<em>To find the reflection Multiply the matrices</em>
∵ The dimension of the first matrix is 2 × 2
∵ The dimension of the second matrix is 2 × 3
<em>1. Multiply the first row of the 1st matrix by each column in the second matrix add the products of each column to get the first row in the 3rd matrix.</em>
2. Multiply the second row of the 1st matrix by each column in the second matrix add the products of each column to get the second row of the 3rd matrix
×
= ![\left[\begin{array}{ccc}(1*0+0*0)&(1*3+0*0)&(1*0+0*2)\\(0*0+-1*0)&(0*3+-1*0)&(0*0+-1*2)\end{array}\right]=\left[\begin{array}{ccc}0&3&0\\0&0&-2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%281%2A0%2B0%2A0%29%26%281%2A3%2B0%2A0%29%26%281%2A0%2B0%2A2%29%5C%5C%280%2A0%2B-1%2A0%29%26%280%2A3%2B-1%2A0%29%26%280%2A0%2B-1%2A2%29%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%263%260%5C%5C0%260%26-2%5Cend%7Barray%7D%5Cright%5D)
Compare the elements in the answer with the third matrix to find the values of a, b, c, and d
∴ a = 3
∴ b = 0
∴ c = 0
∴ d = -2
Answer:
99/1=99
Step-by-step explanation: