The equation is the given one:
Which is the same as:
And the interval of the angle θ must be (0°,90°) so, 2θ must be (0°,180°).
So the statement is True.
A number increased by nine (n + 9) is the same as nine increased by a number (9 + n), the correct option is C.
<h3>What is the pharse in mathematics?</h3>
A mathematical phrase is a set of words or a combination of words and numbers that can be written as a mathematical expression.
Given
Jillian was asked to translate the expression 9 + n into words.
She wrote "a number increased by nine.
The expresion can be written into the two formate which is;
(n+9) and (9+n)
Hence, a number increased by nine (n + 9) is the same as nine increased by a number (9 + n), the correct option is C.
To know more baout pharse click the link given below.
brainly.com/question/22314482
Answer: y=3x--5
Step-by-step explanation: First simplify by distribution and lie terms to get:
y=3x-5
3 is your slope which means every time your y goes up three your x goes across one.
-5 is your y-intercept which means (0,-5) goes through your line
Answer:
Step-by-step explanation:
In order to write the series using the summation notation, first we need to find the nth term of the sequence formed. The sequence generated by the series is an arithmetic sequence as shown;
4, 8, 12, 16, 20...80
The nth term of an arithmetic sequence is expressed as Tn = a +(n-1)d
a is the first term = 4
d is the common difference = 21-8 = 8-4 = 4
n is the number of terms
On substituting, Tn = 4+(n-1)4
Tn = 4+4n-4
Tn = 4n
The nth term of the series is 4n.
Since the last term is 80, L = 4n
80 = 4n
n = 80/4
n = 20
This shows that the total number of terms in the sequence is 20
According to the series given 4 + 8 + 12 + 16 + 20+ . . . + 80
, we are to take the sum of the first 20terms of the sequence. Using summation notation;
4 + 8 + 12 + 16 + 20+ . . . + 80 =
To reverse a percentage decrease you divide it by the decrease (+ 100%)
For example we will pick the number, 100, which is decreased by 15% to 85.
To make 85 back to 100 we divide it by the decrease (1-0.15):
85 / 0.85 = 100
To find out how much 85 increased to get back to 100, we do:
15 / 85 = 0.1765 = %17.65
15 is the reduction/difference, and 85 is the with reduction total.
Because percentages stay the same, this is applicable to any numbers, from this, we know that whenever something is reduced by 15% - when restored to it's original is increased by %17.65
The answer is %17.65
