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:
$8,500
Step-by-step explanation:
Interest = 5000 x 5 x 0.14
= 1000 x 0.14 x 25
= 140 x 25
= 3500
5000 + 3500 = 8500
Answer:
The answer is step 5
Step-by-step explanation:
flip the sign
Answer:
The answer is b.
Step-by-step explanation:
Answer:
1750 + 35x ≥ 3250
Step-by-step explanation:
Average speed = 35 words
He has already typed 1500 words on his final paper
The paper must be more than 3250 words.
To find at least how many more words he has to type, we will subtract 1500 from 3250
3250 - 1500 = 1750 words
The equation will be 35x ≥ 1750
x is the number of minutes
The equation could be
1750 + 35x ≥ 3250
