What is the first quartile of the following data set?<br>
15, 18, 20, 21, 23, 24, 26, 29, 34, 37, 40
nikklg [1K]
Answer:
20.5
Step-by-step explanation:
20 + 21 = 41. Divide 41 by 2 than you get 20.5.
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:
Five students wear glasses.
Step-by-step explanation:
20 percent of 25 is 5
Answer:
maximum height of the arrow will be 408 m
Step-by-step explanation:
We have given the function of height as 
We know that first derivative of height will be velocity
So first derivative of height
We know that at maximum height velocity will be zero
t = 5 sec
Sp arrow will be at maximum height at t = 5 sec
So height at t = 5 sec will be
So maximum height of the arrow will be 408 m
Answer:
3/7
Step-by-step explanation:
You want to seperate the numbers from the variable.
