The bat fit diagonally across the bottom of the suitcase.
Solution:
Length of the suitcase = 20.5 inches
Width of the suitcase = 29 inches
Using Pythagorean theorem,



Taking square root on both sides, we get

Diagonal of the suitcase = 35.5 inch
Length of the base ball bat = 33 inch
35.5 > 33
Since the diagonal of the suitcase is greater than length of the baseball bat,
The bat fit diagonally across the bottom of the suitcase.
The answer is b gjfjkfjrurjdjhzjdjdjdjduueeueuueurjr
Let's say
. Let's find point
so that we can find
.
- Leah walks 40 yards south.

- Leah walks 60 yards west.

- Leah walks 10 yards north.

- Leah walks 20 yards east.

We have found that
.
Now think about this scenario visually. We started at the center of something, which we call point
, and then started moving around until we got to point
. We can then form line
between the points. However, realize that we can actually make a triangle. Just think of one of the legs as part of the x-axis and the other leg as part of the y-axis.
We can find the length of these parts, which is simply the absolute value of the coordinates of point
. It may be a little hard to think about, but essentially, we can form a triangle with sides that consist of part of the x-axis, part of the y-axis, and
. We also know that the lengths of the legs are 40 and 30.
Since we are given the two lengths of the legs on the triangle and trying to find the length of the hypotenuse, we can use the Pythagorean Theorem. This states:

and
are the lengths two legs of the triangle
is the length of the hypotenuse
Thus, substituting in our values, we find:


The length of
is 50.
Answer:
Step-by-step explanation:
20 times pop. of Panama = 20×(4×10⁶) = 80×10⁶ = 8×10⁷
Population of Thailand = 7×10⁷ < 8×10⁷
pop of Thailand is less than 20 times pop of Panama.
Answer:
Step-by-step explanation:
We will use the general area formula for finding the area of triangle when you are given information for SAS, which we have been.
, where a and b are the given side lengths and C is the included angle. You can ONLY use this when you have the info for SAS in a triangle. For us,
a = 17, b = 15 and C = 35 degrees. Filling in:

Do that on your calculator in degree mode and you'll find the area to be
73.1 meters squared