Question : 18 is 50% of what number?
Answer : 36.
How : well if you multiply 18 times 2 the answer is 36. Since 18 is half of 36, being 50%
-procklown
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
The correct answers are A and E.
The mean is affected by outliers.
It a data set is skewed to the right, the mean will be larger than the median because the median is in the middle so will fall in the lower range while the mean is an average of all of the values, so the skewness pulls the mean toward the right, toward higher values.
Answer:
see explanation
Step-by-step explanation:
They are collinear if the have the same slope
(2 - -1)/(5 - 1) = 3/4
(5 - 2)/(9 - 5) = 3/4
(5 - -1)/(9 - 1) = 6/8 = 3/4
