Answer:
<u>Sum</u><u> </u><u>is</u><u> </u><u>2</u><u>0</u><u>,</u><u>9</u><u>3</u><u>5</u><u>.</u>
Step-by-step explanation:
This is an arithmetic progression.
Sum:
n is the number of terms, n = 79
S is the sum
a is the first term, a = -8
d is common difference, d = -1-(-8) = 7
substitute:
Answer: 432 sq ft.
Step-by-step explanation: I decomposed the figure above into halves where the dotted line is drawn. I multiplied 25 x 10 to find the area of the rectangle on the right, pretending for now that it is a complete rectangle, which equals 250. Then, I subtracted 15 from 25, which equals 10, to find the length of the right triangle that’s missing to make the right half of the decomposed figure a rectangle. Then I multiplied 10 x 10, or 10 to the second power divided by 2 because 10 x 10 would be the formula to find a rectangle, and a right triangle is half of a rectangle so you would divide by 2. 10 x 10 divided by 2 because equals 50. 250 - 50 = 200. Next, you do the same thing for the other half of the irregular figure. I subtracted 4 from 25 to get 21. Then, I multiplied 21 x 16 divided by 2 which equals 168. Now, you multiply 25 x 16 which equals 400. 400 - 168 = 232. 200, the answer for the area of the other half of the decomposed figure, must be added to 232 to find your answer for the total area.
12
Step-by-step explanation:
because i,j,k are the unit vectors of x y and z axis and the vector having same unit vector can only be multiply or divide
Answer:
p=122
q=90
Step-by-step explanation:
p=180-58=122
q=180-90=90
<h3>Answer: 12</h3>
Explanation:
When you divide by 5, the possible remainders are one of these numbers {0,1,2,3,4}. So it's the set of whole numbers from 0 to one less than 5.
This means the largest value of A is A = 4.
Similarly, the largest value of B is B = 8 because the possible remainders when dividing by 9 are {0,1,2,3,4,5,6,7,8}.
Therefore, the largest possible value of A+B is 4+8 = 12.