Answer:
$9.89
Step-by-step explanation:
I think it’s D sorry if you get this wrong I also have to do my work
Answer: a) Yes, there is enough fance
b) 58.1° and 47.9°
c) The city will not approve, because 1/3 of the area is just 2220.5ft²
Step-by-step explanation:
a) using law of cosines: x is the side we do not know.
x² = 126² + 110² - 2.126.110.cos74°
x² = 20335.3
x = 142.6 ft
So 150 > 142.6, there is enough fance
b) using law of sine:
sin 74/ 142.6 = sinα/126 = sinβ/110
sin 74/ 142.6 = sinα/126
0.006741 = sinα/126
sinα = 0.849
α = sin⁻¹(0.849)
α = 58.1°
sin 74/ 142.6 = sinβ/110
sin 74/ 142.6 = sinβ/110
0.006741 = sinβ/110
sinβ = 0.741
β = sin⁻¹(0.741)
β = 47.9°
Checking: 74+58.1+47.9 = 180° ok
c) Using Heron A² = p(p-a)(p-b)(p-c)
p = a+b+c/2
p=126+110+142.6/2
p=189.3
A² = 189.3(189.3-126)(189.3-110)(189.3-142.6)
A = 6661.5 ft²
1/3 A = 2220.5
So 2300 > 2220.5. The area you want to build is bigger than the area available.
The city will not approve
Alright, lets get started.
Jim was thinking of a number.
Suppose the number Jim was thinking, is x.
Jim adds 20 to it means number will be = 
And Jim doubles it, means 
Jim gets 99.2 and as per us, he gets
So, making them equal
Subtracting 40 in both sides
It means the original number is 29.6. : Answer
Hope it will help :)
The different ways that they can vote is given as 16 different ways.
<h3>How to calculate the ways that they can vote</h3>
The question say that there are a total of 4 members of the board. Out of these 4, we have the choices as yes or a no.
This tells us that each person only has 2 choices of what they want.
Hence given that the board members ar 4, we would have 2⁴
= 2 * 2 * 2 * 2
= 16
Hence the different ways that they can all vote is 16.
Read more on permutations and combinations here:
brainly.com/question/4658834
SPJ1
