What is the length of the altitude of the equilateral triangle below
Answers
Sine = Opposite / Hypotenuse
sin 60° = a / (6√3) But sin60° = √3/2
√3/2 = a/(6√3)
Cross multiply
2*a = 6√3 * √3
2a = 6 * √(3*3)
2a = 6*3
a = 6*3/2
a = 3*3 = 9
Option E.
Hope this helps.
Related Questions
How many 5 digit numbers can be formed using the digits 0,1,2,3,4,5,6 if repetition of digits is not allowed
Form a polynomial f(x) with real coefficients having the given degree and zeros. a) f(x) = x^3 - 5x^2 + x + 5 b) f(x) = x^3 - 5x^2 + x - 5 c) f(x) = x^3 + 5x + x - 5 d) f(x) = x + 5x^2 - x + 5
Solve the inequality 5x - 4 > 4 - 3x
B is the midpoint of AC and D is the midpoint of CE solve for x given BD = 3x+4 and AE = 5x+19
Answers
The correct options are A and C because irrational numbers are nonterminating and nonrepeating.
Given:
Some statements for irrational numbers are written in decimal form.
Explanation:
Rational number: A rational number can be defined in the form of . Rational numbers are either terminating or repeating decimal numbers.
Examples: etc.
Irrational number: An irrational number cannot be defined in the form of . Irrational numbers are nonterminating and nonrepeating decimal numbers.
Examples: etc.
Therefore, the correct options are A and C.
Learn more:
The correct answers are
A. Irrational numbers are nonterminating; and C. Irrational numbers are nonrepeating.
Explanation:
Irrational numbers are numbers that cannot be written as rational numbers, or fractions.
Terminating decimals have a specific endpoint; this means we can find the place value of the last digit of the number and write it as a fraction (if it ends in the tenths place, it is a fraction over 10; if it ends in the hundredths place, a fraction over 100; etc.).
Repeating decimals can also be written as a fraction; for example, 0.3 repeating is 1/3; 0.6 repeating is 2/3; 0.1 repeating is 1/9; etc.
This means that irrational numbers must be nonrepeating and nonterminating.
Answers
Answer:
12:10
or simplified
6:5
Step-by-step explanation:
There are 10 cats and 12 dogs
dogs: cats
12:10
We can simplify by dividing each by 2
12/2 : 10/2
6:5
It is 10:12
5:6 is simplified
Answers
Answer:
The given statement:
Only regular polygons with an even number of sides are symmetrical is a FALSE STATEMENT.
Step-by-step explanation:
A symmetrical figure or a polygon means that if it is into halves such that the halves looks similar or match exactly then the figure is said to be symmetrical.
We know that a regular polygon with 'n' number of sides has exactly n number of axis of symmetry.
Hence, no matter whether the regular polygon has even number of sides or odd number of sides it will be symmetrical.
Answer: false
took the quiz
Answers
pi x 3/pi = 3
Answers
Answers
Answer:
The measure of angle 7 is 155*.
Step-by-step explanation: