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.
Answer:
Solution 2. A right triangle is formed with the bottom of the flagpole, the snapped part, and the ground. One leg is of length $1 ...
Missing: picture way barely
Step-by-step explanation:
A flagpole is originally $5$ meters tall. A hurricane snaps the flagpole at a point $x$ meters above the ground so that the upper part, still attached to the stump, touches the ground $1$ meter away from the base. What is $x$?
$\text{(A) } 2.0 \qquad \text{(B) } 2.1 \qquad \text{(C) } 2.2 \qquad \text{(D) } 2.4 \qquad \text{(E) } 2.5$
Solution 1
The broken flagpole forms a right triangle with legs $1$ and $x$, and hypotenuse $5-x$. The Pythagorean theorem now states that $1^2 + x^2 = (5-x)^2$, hence $10x = 24$, and $x=\boxed{2.4}$.
(Note that the resulting triangle is the well-known $5-12-13$ right triangle, scaled by $1/5$.)
Solution 2
A right triangle is formed with the bottom of the flagpole, the snapped part, and the g
The answer is 5/9. Just find the common denominator which is 9 and the new equation is 2/9 + 3/9 = 5/9
When you reflect FGH across the y-axis, you are left with the vertices of F'G'H at (2, -1) (-2, 2) (-4, -3)
The correct answer is b.
Hope this helps =)
Answer: The mean is <em>14</em> and the median is <em>14.5</em>
Step-by-step explanation:
To find the mean, add up all of the numbers in the series and divide by the amount of numbers in the series. In this case, the answer comes out to 14.
For the median, you put the numbers in order of least to greatest, as they are listed in the question. You then cross out a number from the left, then a number from the right, one at a time until you are left with either one middle number, or in this case two middle numbers. In this case you are left with 13 and 16. You then find the average of the two middle numbers, which in this case is 14.5
Hope this helps!
