Answer:
7 + 42i.
Step-by-step explanation:
u v = 7i(6 - i)
= 42i - 7i^2 But i^2 = -1 so:
= 42i - 7(-1)
= 7 + 42i.
The value of the variable 'x' in the first case and the second case will be 9° and 1.
<h3>What is a parallelogram?</h3>
It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal. And the sum of the adjacent angles is 180°.
In part 61, the equation is given as,
100° + 9x - 1° = 180°
Simplify the equation, then we have
9x + 99° = 180°
9x = 81°
x = 9°
In part 62, the equation is given as,
22x - 1 = 21
Simplify the equation, then we have
22x - 1 = 21
22x = 22
x = 1
The value of the variable 'x' in the first case and the second case will be 9° and 1.
More about the parallelogram link is given below.
brainly.com/question/1563728
#SPJ1
To solve for the area of a triangle, we multiply the length and height, then divide that by two. L = 10. H = 7.
To solve for the perimeter, or edges, of the triangle, we need to use the Pythagorean Theorem: a² + b² = c² to solve for the third side. We already know two measures: 10 and 7. Now we need to square them, add them together to get c², then take the root of that number.
We cannot simplify √149, so we either leave it, or round it.
This is rounded to the nearest 10,000.
Now that we have the measure of the longest side, we can add all three sides together to get the perimeter of the triangle.
Answer:
The 99% confidence interval for the mean amount of money spent on lunch per week for all college students is between $41.40 and $44.60.
Step-by-step explanation:
A confidence interval has two bounds, a lower bounds and an upper bound.
These bounds depend on the sample mean and the margin of error.
The lower bound is the sample mean subtracted by the margin of error.
The upper bound is the margin of error added to the sample mean.
In this problem, we have that:
The sample mean is $43.
The margin of error is $1.60 for a 99% confidence interval.
Lower bound: 43 - 1.60 = $41.40
Upper bound: 43 + 1.60 = $44.60
The 99% confidence interval for the mean amount of money spent on lunch per week for all college students is between $41.40 and $44.60.
The answer is B.
60 minutes divided by 3 equals 20 minutes.
