Answer:
the answer is 20
Step-by-step explanation:
use the pythagorean theorem
1] 12 x 12 = 144
2] 16 x 16 = 256
3] 144 +256= 400
4] find square root of 400 which is equal to 20
Answer:
The answer is B.
Step-by-step explanation:
The pattern seems to be counting by two.
Answer:
18√2
Step-by-step explanation:
The smaller triangle sharing a vertex with the larger one is similar and half the area. That means its linear dimensions are √(1/2) = (√2)/2 times those of the larger triangle.
The line segment of interest has length ...
36 × (√2)/2 = 18√2
_____
The ratio of area of similar figures is the square of the ratio of their linear dimensions. Thus the ratio of linear dimensions is the square root of the ratio of area.
Answer: 10, 11, & 12
<u>Step-by-step explanation:</u>
Let x represent the age of the youngest child.
Their ages are consecutive so,
Youngest: x
Middle: x + 1
Oldest: x + 2
The age of the Youngest squared (x²) equals 8 times the Oldest [8(x + 2)] plus 4.
x² = 8(x + 2) + 4
x² = 8x + 16 + 4
x² = 8x + 20
x² - 8x - 20 = 0
(x - 10)(x + 2) = 0
x - 10 = 0 or x + 2 = 0
x = 10 or x = -2
Since age cannot be negative, x = -2 is not valid
So, the Youngest (x) is 10
the Middle (x + 1) is 11
and the Oldest (x + 2) is 12
You multiply the numerators (top numbers) and separately multiply the (bottom numbers) denominators.
numerator (top number): 2 * 1 = 2
denominator (bottom number): 3 * 4 = 12
Now, we have 2/12 which can be simplified to 1/6.
<h2>1/6</h2>
