First, let's declare a variable
x = # of students
Now, let's create an equation to model the problem.
x * 0.273 = 125
Divide both sides by 0.273
x = 457.8 = 458 students.
Note, I rounded to the nearest whole number.
Answer:
10 hours
Step-by-step explanation:
45 pages per 1 hour and 30 minutes, or 60 min +30 min =90 min
90 minutes / 45 pages has to be equal to an equivalent fraction where we have 300 pages
90 minutes /45 pages = ? minutes / 300 pages , multiply both sides by 300
? minutes = 90*300/45 = 600 minutes
to read 300-page book will take 600 minutes = 10 hours
Answer:
Choice A. 3.
Step-by-step explanation:
The triangle in question is a right triangle.
- The length of the hypotenuse (the side opposite to the right angle) is given.
- The measure of one of the acute angle is also given.
As a result, the length of both legs can be found directly using the sine function and the cosine function.
Let
denotes the length of the side opposite to the
acute angle, and
be the length of the side next to this
acute angle.
.
Similarly,
.
The longer leg in this case is the one adjacent to the
acute angle. The answer will be
.
There's a shortcut to the answer. Notice that
. The cosine of an acute angle is directly related to the adjacent leg. In other words, the leg adjacent to the
angle will be the longer leg. There will be no need to find the length of the opposite leg.
Does this relationship
holds for all acute angles? (That is,
?) It turns out that:
Answer:
1. CYNARG
Step-by-step explanation:
This a example of Caesar's Cipher, in which each letter in the original word leads to a ciphered letter according to the following equation:

In which C is the index of the Ciphered letter in the alphabet, P is the index of the original letter and o is the offset.
Finding the offset:
O is coded B
O is the 15th letter in the alphabet, so
.
B is the 2nd letter in the alphabet, so 




So

PLANET:
P
P is the 16th letter in the alphabet.

So P is coded C.
L
L is the 12th letter in the alphabet:

L is coded Y(25th letter in the alphabet)
A
A is the 1st letter in the alphabet

A is coded N
N
N is the 14th letter in the alphabet

N is coded A
E
E is the 5th letter in the alphabet

E is coded R
So the correct answer is:
1. CYNARG
Answer:
A square
Step-by-step explanation:
I'm pretty sure its a square