Answer is √35 (square root of 35)
Reason: square root of 35 (which is = 5.9160797831.....) which is a non-terminating decimal, which means it is irrational.
An irrational number is any real number that cannot be expressed as a simple fraction or terminating decimals. There are many answers to this question.
Answer:
The angles are 22.5 and 67.5.
Step-by-step explanation:
A complement is the angle that when added to the given angle gives 90 degrees.
Therefore, the angle x is 3 times larger than its complement.
This means that x is 3/4 of 90 degrees and complement is 1/4 of 90 degrees.
Therefore, the angles are 22.5 and 67.5.
Answer:
The correct option is C ) 109.5°
Therefore,

Step-by-step explanation:
Given:
In Triangle DEF
d = 10
e = 18
f = 12
To Find
angle E = ?
Solution:
In Triangle DEF , Cosine Rule says

Substituting the values we get


Therefore,

............As it is in Second Quadrant
Therefore,

Answer:
20 students
Step-by-step explanation:
If the class decreased by 15%, the students that she has now (17) represents a percentaje of:
100% - 15% = 85%
so<u> the 17 students are 85% of what she had</u>:
Students Percentage
17 ⇒ 85%
and we are looking for how many students she had 2 years ago, thus we are looking for the <u>100%</u> of students (the original number of studens). If we represent this number by x:
Students Percentage
17 ⇒ 85%
x ⇒ 100%
and we solve this problem using the <u>rule of three</u>: multiply the cross quantities on the table( 17 and 100) and then divide by the remaining amount (85):
x = 17*100/85
x = 1700/85
x=20
2 years ago she had 20 students
Answer:
8.4*10^-3
Step-by-step explanation:
Move the decimal point 3 places in order to get a number in the one's place.