<u>Part 1) </u>To find the measure of ∠A in ∆ABC, use
we know that
In the triangle ABC
Applying the law of sines
in this problem we have
therefore
<u>the answer Part 1) is</u>
Law of Sines
<u>Part 2) </u>To find the length of side HI in ∆HIG, use
we know that
In the triangle HIG
Applying the law of cosines
In this problem we have
g=HI
G=angle Beta
substitute
therefore
<u>the answer Part 2) is</u>
Law of Cosines
.05*2000=100 Non-Sporting
.06*2000=120 Herding
.24*2000=480 Sporting
.21*2000=420 Working
.16*2000=320 Hound
.16*2000=320 Terrier
.12*2000=240 Tay
Hope I didn't mess up for your sake
Step-by-step explanation:
Quesion 1
The cost of one chair can be found by dividing the cost of the total chairs by the number of chairs
hence, cost per chair= 150/50= $3 per chair
Question 2
let us find the number of walnuts per bag
= 330/6
=55 walnuts per bag
hence in two bags there will be 55*2= 110 walnuts
Question 3
Option D is an example of a unit rate.
The unit rate is defined as the cost of one unit of an item, or the value that represents a unit of a quantity... D 18 miles driven in a week
The area of a square is expressed as:
Area = s^2
We are given the area of both windows. We will use this value for the calculations. We set s as the side of the larger window and a for the smaller window.
Total area = Area larger + area smaller
1025 = s^2 + a^2
Since it was said that the side of the larger window, s is 5 in longer than the side of the smaller window, a (s = 5+a) then:
<span>1025 = s^2 + a^2
</span>1025 = (5+a)^2 + a^2
simplifying we obtain,
a = 20 inches
|AC|
------ = tan 25 deg, so |AC| = 8.6 tan 25 deg
8.6 8.6 (0.466) = 4.01 units (answer)