Answer:
A. x = 58°
B. x = 10m
C. a = 44°
All approximated to nearest whole number.
Step-by-step explanation:
All triangles given are right angled triangles. Therefore, we would apply the trigonometry functions to solve for each missing side and angle.
Recall: SOHCAHTOA
a. Adjacent = 4.8cm,
Hypotenuse = 9cm
Angle to find =x°
Thus, we would apply the following formula:
Cos θ = Adjacent/Hypotenuse
Cos θ = 4.8/9 = 0.5333
θ = Cos-¹(0.5333) = 57.77
x ≈ 58° (to nearest whole number)
b. Opposite side = x
Hypothenuse = 40 m
Included angle = 14°
We would use:
Sine θ = opposite/hypothenuse
Sin (14) = x/40
Multiply both sides by 40
40*sin(14) = x
40*0.2419 = x
x = 9.676 = 10 m (to nearest whole number)
c. Opposite = 87mm
Adjacent = 91mm
θ = a°
We would use:
Tan θ = opposite/adjacent
Tan θ = 87/91
Tan θ = 0.9560
θ = tan-¹(0.9560)
θ = a = 43.71
a ≈ 44° (to nearest whole number)
Multiply 2^(-5) by 2^6. The correct result is 2^1, or just 2 (inches).
First number is a and second one is 2a+4
a(2a+4)=48
a(a+2)=24
a^2+2a-24=0
(a+6)(a-4)=0
the question says a is negative so a=-6 b=-8
30.8 add it all up and divided how ever many number there are
Answer:
$0.28 per 100 of value (B)
Step-by-step explanation:
Stephanie has a homeowner insurance policy of $355,000
Annual premium = $0.42 per 100
There is a deductible of $500
Stephanie has an annual out of pocket expense of
[($355,000/100) x $0.42] + $500 = $1,991
From the question, Stephanie now wants a new deductible amount of 1000.
Let X be the new annual premium
[(355,000X) / 100] + 1000 = 1991
3550X + 1000 = 1991
3550X = 1991 -1000
3550X = 991
X = 991/3550
X = 0.2791
X = 0.28 ( approximately)
The new annual premium is $0.28 per 100 of value
