D. -3,-10,-17,-24,-31...this is an arithmetic sequence with a common difference of -7.
an arithmetic sequence...u have to be able to add the same number to each term to get the next term. On this sequence, the common difference is -7. This means by adding -7 to each term, we arrive at the next term.
The value of y in rectangle QRST is 1
Step-by-step explanation:
A Rectangle is a quadrilateral with opposite sides equal and parallels among several of its other features. Its other features include opposite ends meet at right angle and diagonals are equal
In the given data the sides are "11y+9" "19y+28" and "20y"
Since for rectangle opposite sides are equal
hence 11y+9 must be equal to 20y
11y+9=20y -- equation 1
rearranging the equation we get,
9y=9 (transferring 11y to the right side of the equation)
Therefore y=1
Hence y=1 in the given rectangle QRST
Answer:
Shaded area is 55 units²
Step-by-step explanation:
Ignoring the white cutout, we have a rectangle of length 10 and width 7 (count the squares in each direction). The area of this larger rectangle is
(10 units)(7 units) = 70 units². The white area that we previously ignored has dimensions 3 by 5 units, and thus an area of 15 units²
Subtract the latter from the former, obtaining the net area
70 units² - 15 units² = 55 units²
Answer:
In 5040 ways.
Step-by-step explanation:
To solve this problem we will use combination without repetition which means:
C ( n k) = (n₁ k₁) (n₂ k₂) (n₃ k₃) = (4 3) (9 2) (7 3) =
(4 · 3 · 2 / 3 · 2 · 1) (9 · 8 / 2 · 1) (7 · 6 · 5 / 3 · 2 · 1) = 4 · 36 · 35 = 5040
It can be done in 5040 ways.
God with you!!!
The total weight of all the bricks are 32.4 kilograms.