The square root and the squared cancel each other out so it would just be 27 to the first power,which is 27
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
Answer:
Step-by-step explanation:
1+1=2
1+3=4
3+3=6
3+5=8
3+7=10
Answer:
14.42inches
Step-by-step explanation:
Given the following
b = 5 in
c = 8in
we are to find the measure of the space diagonal line
Using the pythagoras theoreml
l^2 = b^2 + c^2
l^2 = 13^2 - 5^2
l^2 = 169 -25
l^2 = 144
l = 12in
To get the measure of the space diagonal line in the box, we will use the pythagoras theorem;
s^2 = l^2 + c^2
s^2 = 144 + 8^2
s^2 = 144 + 64
s^2 = 208
s= 14.42inches
Hence the required length ix 14.42inches
