<u>Given</u>:
Given that O is the center of the circle.
AB is tangent to the circle.
The measure of ∠AOB is 68° and we know that the tangent meets the circle at 90°
We need to determine the measure of ∠ABO.
<u>Measure of ∠ABO:</u>
The measure of ∠ABO can be determined using the triangle sum property.
Applying the property, we have;
Substituting the values, we get;
Adding the values, we have;
Subtracting both sides by 158, we get;
Thus, the measure of ∠ABO is 22°
Im pretty sure the quotient is 92
i dont get it...what are the elements of each letter?
A) The total number is the sum of all the frequencies
2+5+8+12+11+6=44
Answer: 44
B) The width is (upper limit - lower limit) / 2
(35-21) / 2 = 7
(50-36) / 2 = 7
(65-51) / 2 = 7
(80-66) / 2 = 7
(95-81) / 2 = 7
(110-96) / 2 = 7
Answer: the width is 7
C) The midpoint is the lower limit + the width
36+7=43
Answer: the midpoint is 43
D)The modal is the class with more frequency
In this case 66-80 with 12
Answer: class 66-80
E) We use the width formula
lower limit = 111
width = 7
upper = (width * 2) - lower
upper = (7 * 2) + 111
upper = 125
Answer: class 111-125
First brand = A, second brand = B.
A + B = 249ml
9% A + 14% B = 13% 249ml
B = 249ml - A
9% A + 14% (249ml - A) = 13% 249ml
9A + 14 (249ml - A) = 13 * 249ml
9A + 3486ml - 14A = 3237ml
5A = 249ml
A = 49,8ml
<span>B = 249ml - A = 199,2ml
</span>
Answer: He should use 49,8ml of first brand and 199,2ml of second brand.
Also note: <span>That's an </span>approximation,<span> because </span>the volumes are not strictly additive<span>. For example: mixing 50ml pure ethanol with 50ml water will give you about 95ml of mixture. To get an accurate answer, you'd have to </span>measure<span> the volume of the final mixture and then divide your total alcohol content by </span>that<span>.</span>
