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:
1311.88
Step-by-step explanation:
Feet:stories
883:70
x:104
To solve this we need to multiply 883 by 1.48 because this is what we multiplied 70 to get to 104
x=1311.88=1312
Answer:
He will finish the biking at 6:30 pm
Step-by-step explanation:
1/4 hour is same as 1/4 * 60 = 15 minutes
1 2/5 miles is same as 1.4 miles
He bikes 1.4 miles in 15 minutes
then he will bike 14 miles in 15 * 10 = 150 minutes
150
minutes is same as 2 hours 30 minutes
Adding this to 4 pm, we will get;
6:30 pm
Answer:
Option (b) is the answer.
Step-by-step explanation:
If two distinct lines intersect
Then they are not parallel because parallel lines never intersect they go hand in hand
But since, we need to tell which is not true
So, option A is discarded.
Option (c) and (d) are also true hence, discarded.
Option (b) is correct that is the lines are perpendicular this is not true. hence, considered
Therefore, option (b) is the answer.
