<u><em>Answer:</em></u>
AC = 10sin(40°)
<u><em>Explanation:</em></u>
The diagram representing the question is shown in the attached image
Since the given triangle is a right-angled triangle, we can apply the special trig functions
<u>These functions are as follows:</u>
sin(θ) = opposite / hypotenuse
cos(θ) = adjacent / hypotenuse
tan(θ) = opposite / adjacent
<u>Now, in the given diagram:</u>
θ = 40°
AC is the side opposite to θ
AB = 10 in is the hypotenuse
<u>Based on these givens</u>, we will use the sin(θ) function
<u>Therefore:</u>
Answer: c
Step-by-step explanation:
Based on the percent breakdown of 360%.
100% 100% 100% 20%20%20%
15. 15. 15. 3. 3. 3.
100% is all of it, so 15. This is x.
20% of it would be calculated as 0.2 x 15 or 3. This is y.
The answer is -16 - 10i.
Using the distributive property on the first part, we have:
-2i*7--2i*4i + (3+i)(-2+2i)
-14i+8i² +(3+i)(-2+2i)
Using FOIL on the last part,
-14i+8i²+(3*-2+3*2i+i*-2+i*2i)
-14i+8i²-6+6i-2i+2i²
-10i+8i²-6+2i²
Since we know that i = -1,
-10i+8(-1)-6+2(-1)
-10i-8-6-2
-16-10i
The perimeter of the rectangle that Tamara will create is 26 inches. Given that the length is greater than width, the width may be expressed as l - 3. The perimeter of the rectangle is solved by,
P = 2l + 2w
Thus, the equation is,
2l + 2(l - 2) = 26
Answer:
We can calculate the sample variance with the following formula:
And replacing we got:
And the deviation is given by this:
If we want to find the population deviation we just need to use this formula:
And replacing we got:
And the population deviation would be:
Step-by-step explanation:
For this case we have the following values:
0.14, 0.15, 0.16, 0.17, 0.18.
We can calculate the mean with the following formula:
And replacing we got:
We can calculate the sample variance with the following formula:
And replacing we got:
And the deviation is given by this:
If we want to find the population deviation we just need to use this formula:
And replacing we got:
And the population deviation would be:
