Here's the solution,
The given triangle is an <u>equilateral triangle</u>, because it's all angles measure 60° each
now,
Area of an equilateral triangle :
=》
![\dfrac{ \sqrt{3} }{4} {a}^{2}](https://tex.z-dn.net/?f=%20%5Cdfrac%7B%20%5Csqrt%7B3%7D%20%7D%7B4%7D%20%20%7Ba%7D%5E%7B2%7D%20)
where,
=》
![\dfrac{ \sqrt{3} }{4} \times 8 \times 8](https://tex.z-dn.net/?f=%20%5Cdfrac%7B%20%5Csqrt%7B3%7D%20%7D%7B4%7D%20%20%5Ctimes%208%20%5Ctimes%208)
=》
![\sqrt{3} \times 16](https://tex.z-dn.net/?f=%20%5Csqrt%7B3%7D%20%20%5Ctimes%2016)
=》
![16 \sqrt{3} \: \: \: cm {}^{2}](https://tex.z-dn.net/?f=16%20%5Csqrt%7B3%7D%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20cm%20%7B%7D%5E%7B2%7D%20)
or
=》
![27.71 \: \: cm {}^{2}](https://tex.z-dn.net/?f=27.71%20%5C%3A%20%20%5C%3A%20cm%20%7B%7D%5E%7B2%7D%20)
Okay. So Daniella wants to have a take-home pay of at least $51,000, but she ahs to pay 15% income tax, which means 15% of what she earns will be gone. To find out the least amont of salary she needs to make, we can write and solve a proportion. Set it up like this:
51,000/x = 85/100
This is because we are looking for the amount of money made overall, but the $51,000 is only part of the salary earned, and even though you pay 15% income tax, you still take home 85% of your salary. Cross multiply the valyes in order to get 5,100,000 = 85x. Divide each side by 85 to isolate the variable. 5,100,000/85 is 60,000. Let's check this by multiplying by 85% (0.85). 60,000 * 0.85 is 51,000. There. x = 60,000. Daniella will need to make at least $60,000.
I believe the answer is 3/2
Answer:
y = -6/5x - 3
Step-by-step explanation:
Point Slope Form: (y - y1) = m(x - x1)
<u>Step 1: Find Slope</u>
m = ![\frac{y2-y1}{x2-x1}](https://tex.z-dn.net/?f=%5Cfrac%7By2-y1%7D%7Bx2-x1%7D)
m = ![\frac{-3 - (-9)}{0 - 5}](https://tex.z-dn.net/?f=%5Cfrac%7B-3%20-%20%28-9%29%7D%7B0%20-%205%7D)
m = ![\frac{-3 + 9}{-5}](https://tex.z-dn.net/?f=%5Cfrac%7B-3%20%2B%209%7D%7B-5%7D)
m = ![\frac{6}{-5}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B-5%7D)
m = ![\frac{-6}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B-6%7D%7B5%7D)
<u>Step 2: Plug into Point Slope Form</u>
(y - (-3)) = -6/5(x - 0)
y + 3 - 3 = -6/5x - 3
y = -6/5x - 3
Answer: y = -6/5x - 3