Step-by-step explanation:
m<5 = 60 (<5 & 60deg < are vertical)
m<6 = 120 (<s 5 and 6 are a linear pair)
m<9 = 120 (<s 6 and 9 are vertical)
m<4 = 80 (<s 4 and 80 deg < are vertical)
m<7 = 100 (<7 and 80 deg < are linear pair)
m<10 = 100 (<s 7 and 10 are vertical <s)
m<8 = 60 (<s 5 and 8 are corresp <s)
m<3 = 80 (80 deg <3 are corresp <s)
m<2 = 40 (80 + 60 + m<2 = 180)
m<1 = 60 (<s 1 & 5 are alt int <s)
take 888.99, multiple it by 1.0775 (tax plus original price) to get the answer (957.886725 or 957.889)
Answer:
$2.62
Step-by-step explanation:
![2.4\% \: of \: \$109 \: \\ \\ = \frac{2.4}{100} \times 109 \\ \\ = 0.024 \times 109 \\ \\ = \$2.616 \\ \\ \approx \: \$2.62](https://tex.z-dn.net/?f=2.4%5C%25%20%20%5C%3A%20of%20%20%5C%3A%20%5C%24109%20%5C%3A%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B2.4%7D%7B100%7D%20%20%5Ctimes%20109%20%5C%5C%20%20%5C%5C%20%20%3D%200.024%20%5Ctimes%20109%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%5C%242.616%20%5C%5C%20%20%5C%5C%20%5Capprox%20%5C%3A%20%5C%242.62)
Because the difference between any term and the previous term is a constant, this is an arithmetic sequence because of that constant which is referred to as the common difference, d. Which in this case is -35--38=-32--35=3
Any arithmetic sequence can be expressed as:
a(n)=a+d(n-1), a=initial term, d=common difference, n=term number.
In this case a=-38 and d=3 so
a(n)=-38+3(n-1) which we can simplify to
a(n)=-38+3n-3
a(n)=3n-41, so the 52nd term is:
a(52)=3(52)-41
a(52)=156-41
a(52)=115
Answer:
The answer to your question is x = 17.32; y = 8.67
Step-by-step explanation:
Process
1.- Use trigonometric functions to find x and y
a) sin Ф = ![\frac{opposite side}{hypotenuse}](https://tex.z-dn.net/?f=%5Cfrac%7Bopposite%20side%7D%7Bhypotenuse%7D)
Ф = 60°
opposite side = 15
hypotenuse = ?
![hypotenuse = \frac{opposite side}{sin \alpha }](https://tex.z-dn.net/?f=hypotenuse%20%3D%20%5Cfrac%7Bopposite%20side%7D%7Bsin%20%5Calpha%20%7D)
![hypotenuse = \frac{15}{sin 60}](https://tex.z-dn.net/?f=hypotenuse%20%3D%20%5Cfrac%7B15%7D%7Bsin%2060%7D)
![hypotenuse = \frac{15}{0.87}](https://tex.z-dn.net/?f=hypotenuse%20%3D%20%5Cfrac%7B15%7D%7B0.87%7D)
hypotenuse = 17.32
b) cosФ = ![\frac{y}{hypotenuse}](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7Bhypotenuse%7D)
![y = hypotenuse x cos 60](https://tex.z-dn.net/?f=y%20%3D%20hypotenuse%20x%20cos%2060)
![y = 17.32 x 0.5](https://tex.z-dn.net/?f=y%20%3D%2017.32%20x%200.5)
y = 8.67