Answer:
Length = 16 inches and width = 12inches
Step-by-step explanation:
A = 192 in² . The width is 4 + 1/2x. therefore let x = length
Area = LW
192 = x(4 + 1/2 x)
192 = 4x + 1/2x²
384 = 8x + x² Multiply each term by 2 to make a
384 + 16 = x² + 8x + 16 Complete the square
400 = (x + 4)²

± 20 = x + 4
20 = x + 4 or -20 = x + 4
20 - 4 = x or -20 - 4 = x
16 = x or -24 = x reject the negative amount
Length = 16
width = 4 + 1/2(16); 4 + 8 = 12
Answer:
x=14, x=1
Step-by-step explanation:
View Image.
First factor the equation. Which numbers multiplies to 14 and adds up to -15? It's -14 and -1 so the equation is factored to (x-14)(x-1). I assume that you know how to do this.
Then set the values inside the parentheses equal to 0 and solve for x.
Answer: her monthly payments would be $267
Step-by-step explanation:
We would apply the periodic interest rate formula which is expressed as
P = a/[{(1+r)^n]-1}/{r(1+r)^n}]
Where
P represents the monthly payments.
a represents the amount of the loan
r represents the annual rate.
n represents number of monthly payments. Therefore
a = $12000
r = 0.12/12 = 0.01
n = 12 × 5 = 60
Therefore,
P = 12000/[{(1+0.01)^60]-1}/{0.01(1+0.01)^60}]
12000/[{(1.01)^60]-1}/{0.01(1.01)^60}]
P = 12000/{1.817 -1}/[0.01(1.817)]
P = 12000/(0.817/0.01817)
P = 12000/44.96
P = $267
To answer this question, we will use the sine law which is illustrated in the attached image.
We are given that:The distance from school to library = a
∠A = 32
∠B = 110
b = 2.2
Substitute with the givens in the relation of the sine law to get a as follows:(sin 32) / (a) = (sin 110) / (2.2)
a = (2.2 sin 32) / (sin 110)
distance from school to library = a = 1.2406 mi
Based on the above calculations, the best choice would be:B. 1.2 mi