Answer:
Step-by-step explanation:
I'm assuming you're trying to solve this for x. We use the difference identity for cosine and rewrite:
and simplify using the unit circle to help.
and on the unit circle, the angle where the tangent is negative square root of 3 is -60° which is also a positive 300°
3ft and 11in is the correct answer
Answer:
2/4 * 40 4/5 * 5/7 = 102/
7
= 14 4/
7
≅ 14.5714286
Step-by-step explanation:
To find a new numerator:
a) Multiply the whole number 40 by the denominator 5. Whole number 40 equally 40 * 5/
5
= 200/
5
b) Add the answer from previous step 200 to the numerator 4. New numerator is 200 + 4 = 204
c) Write a previous answer (new numerator 204) over the denominator 5.
Forty and four fifths is two hundred four fifths
Multiple: 2/
4
* 204/
5
= 2 · 204/
4 · 5
= 408/
20
= 102 · 4/
5 · 4
= 102/
5
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(408, 20) = 4. In the following intermediate step, cancel by a common factor of 4 gives 102/
5
.
In other words - two quarters multiplied by two hundred four fifths = one hundred two fifths.
Multiple: the result of step No. 2 * 5/
7
= 102/
5
* 5/
7
= 102 · 5/
5 · 7
= 510/
35
= 102 · 5/
7 · 5
= 102/
7
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(510, 35) = 5. In the following intermediate step, cancel by a common factor of 5 gives 102/
7
.
In other words - one hundred two fifths multiplied by five sevenths = one hundred two sevenths.
Answer: -12 < x < 
<u>Step-by-step explanation:</u>
2x + 9 < 0 and x > -12
2x < -9
x <
Since it is an "and" statement, x is between -12 and , so -12 < x <
Graph: -12 o-----------------o
Interval Notation: (-12, )
Answer:
16a+48
Step-by-step explanation:
(12+4)(a+3)
16(a+3)
16a+48
