Answer:
37.7 feet
Step-by-step explanation:
Given that:
Measurements of Frankie's yard = 20ft x 32ft
He wants to build a path from one corner to another.
To find:
The length of path = ?
Solution:
Let us consider a rectangle
as shown in the attached image in the answer area.
We are given the two adjacent sides of a rectangle and we have to find diagonal of the rectangle.
To find the diagonal, we can use the Pythagorean Theorem.
We are given the base and perpendicular of the right angled triangle and we have to find the hypotenuse.
According to Pythagorean theorem:


It’s the first one!! :)))
Let k be the scale factor relating two similar prisms

and

, such that for corresponding parts of prisms

and

(for heights, in particular) we have

. In our case

.
For surfaces area we have

.
So, the right answer is 4:25 (choice B)
Answer:
264.
Step-by-step explanation:
Let x represent the number of trout in the lake.
We have been given that a group of naturalists catch, tag and release 121 trout into a lake. The next day they catch and release 48 trout, of which 22 had been tagged.
Using proportions, we will get:






Therefore, there would be approximately 264 trout in the lake.
Answer:
It will double in size, as M x M x M x M is simply just 3 changeable values. When we change 4 numbers of a prism (3 changed values ) to all 4 we have a S4 value to the volume, But we didnt do this, applying x 4 to either measurement it can only increase the volume by x 2. We had a one change value SF4 so we have SF 2= double. That means if we have two change value value SF4 we have 3 = 3 x total increase, if we have a three input change by SF4 we can increase size to 4x total increase.
Step-by-step explanation: