Answer:
the dimensions of the rectangle are 10 and 7.
Step-by-step explanation:
Given;
area of the rectangle, A = 70 m²
dimensions of the rectangle, = x - 11 and x - 8
The area of rectangle is calculated as;
A = L x B
70 = (x - 11)(x - 8)
70 = x² - 8x - 11x + 88
0 = x² - 8x - 11x + 88 - 70
0 = x² - 19x + 18
0 = x² - x - 18x + 18
0 = x(x - 1) -18(x - 1)
0 = (x - 18)(x - 1)
0 = x - 18 or
0 = x - 1
x = 18 or 1
The dimensions of the rectangle are calculated as;
L = 18 - 11 = 7
B = 18 - 8 = 10
Therefore, the dimensions of the rectangle are 10 and 7.
To find the common difference, subtract the 1st term from the 2nd term
1 8/9 - 2 =
17/9 - 2 =
17/9 - 18/9 =
-1/9 <==
Answer:
Number of blue marbles = 86.
Step-by-step explanation:
Let number of blue marbles = x, then the number of red marbles = 106-x.
From the second relation given in the question:-
x = 4(106 - x) + 6
Solving for x:-
x = 424 - 4x + 6
5x = 430
x = 86 blue marbles.
Answer:
4
Step-by-step explanation:
square root of 16 is 4
Just like the relationship of multiplication and division, square roots and exponents have similar relationship.
Example,
2^2=4
√4 = 2
In this circle we have major arc RQ which is the really big one measuring 40x, and we have minor arc RQ, which is what we are looking for. Minor arc RQ is double the measure of the angle that intercepts it. That means that minor arc RQ is 2(12x-12), which is 24x - 24. The measure of the outside of any circle will always and forever be 360 degrees; therefore, 40x + 24x - 24 = 360. Combining like terms gives us 64x = 384 and x = 6. Now sub in that 6 for the x in the angle 12x - 12 to get that that angle measures 12(6)-12 = 60. Again, the angle is half the measure of the arc it intercepts, so minor arc RQ is 120 degrees, third choice down.
