B;
$6.00 lb + 15% = 6.00 x 1.15 = $6.90
$6.90 x 2.6lbs = $17.94
C;
New price is $.90 more.
3.5 x .90 = $3.15 more
Answer: A would be the answer
Step-by-step explanation:
Answer:
Step-by-step explanation:
Mariam is making two types of paper lanterns. One type of flashlight needs 0.75 square feet of cardboard, while the other needs 1.15 square feet. If she made 5 of each type of flashlight, it means that
For the first type flashlight that she made, she used 0.75 × 5 = 3.75 square feet of cardboard.
For the second type of flashlight she made, she used 1.15 × 5 = 5.75 square feet of cardboard.
Total amount of cardboard used is
3.75 + 5.75 = 9.5 square feet
Mariam has 12.75 square feet of paper left over. Assuming the total square feet of cardboard that she used is x, then x = amount of cardboard used + the amount that is left over. It becomes
x = 9.5 + 12.75 = 22.25 square feet
She used 22.25 square feet
Answer:
A) ![\left[\begin{array}{cc}0&-1\\1&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D0%26-1%5C%5C1%260%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
The rotation matrix for a clockwise rotation through angle θ is given by ...
![M=\left[\begin{array}{cc}\cos{(\theta)}&-\sin{(\theta)}\\\sin{(\theta)}&\cos{(\theta)}\end{array}\right]](https://tex.z-dn.net/?f=M%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D%5Ccos%7B%28%5Ctheta%29%7D%26-%5Csin%7B%28%5Ctheta%29%7D%5C%5C%5Csin%7B%28%5Ctheta%29%7D%26%5Ccos%7B%28%5Ctheta%29%7D%5Cend%7Barray%7D%5Cright%5D)
When θ = 90°, the matrix becomes the one in choice A).
Answer:
399.6 miles²
Step-by-step explanation:
The area (A) of the major sector is
A = area of circle × fraction of circle
= πr² × 
= π × 13.4² × 
=
≈ 399.6 miles²