The initial amount in the account was $200 (y intercept). She adds $32.50 each day to her bank account (slope).
Answer: $2
Step-by-step explanation: for each 4 ounces. it is a dollar. and since Harry got 8 ounces, it would be $2
Answer:
9/12 or 75%.
Step-by-step explanation:
Let's first add the choices all up.
5+4+3= 12.
We have 12 movie choices in total.
Now, we know that we have 3 drama movie choices...so the chance we will choose drama is 3/12, but we are not finding that. We want the chance she will NOT choose drama, so that would be 9/12.
*Since the chance she will choose drama is 3/12, the chance she will not choose is 9/12. 9+3 is 12, the total amout.*
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 right answer is 19.9
Step-by-step explanation:
Given data set is;
(18, 23, 17, 25, 15, 18, 18, 16, 27, 25, 18, 19)
Sum of terms = 18+23+17+25+15+18+18+16+27+25+18+19 = 239
Number of terms in data set = 12
Average = 
Average = 
Average = 19.91
The average of data set is 19.91
The right answer is 19.9
Keywords: average, addition
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