Answer:
x = 88.2
Step-by-step explanation:
The angle at the top of the triangle = 90° - 10° = 80°
and the left side of the triangle is x ( opposite sides of a rectangle )
Using the tangent ratio in the right triangle
tan80° =
= ![\frac{500}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B500%7D%7Bx%7D)
Multiply both sides by x
x × tan80° = 500 ( divide both sides by tan80° )
x =
≈ 88.2
It's just adding not multiplying. it would just be 5y+3
Answer:
multiply?, 4, 3, 12
Step-by-step explanation:
I am not sure
Answer:
![=8\sqrt{15}b^{\frac{7}{2}}](https://tex.z-dn.net/?f=%3D8%5Csqrt%7B15%7Db%5E%7B%5Cfrac%7B7%7D%7B2%7D%7D)
Step-by-step explanation:
![\sqrt{24b^3}\sqrt{40b^2}\sqrt{b^2}](https://tex.z-dn.net/?f=%5Csqrt%7B24b%5E3%7D%5Csqrt%7B40b%5E2%7D%5Csqrt%7Bb%5E2%7D)
![=\sqrt{40}\sqrt{b^2}\sqrt{b^2}\sqrt{24b^3}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B40%7D%5Csqrt%7Bb%5E2%7D%5Csqrt%7Bb%5E2%7D%5Csqrt%7B24b%5E3%7D)
![=\sqrt{40}b^2\sqrt{24b^3}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B40%7Db%5E2%5Csqrt%7B24b%5E3%7D)
![\sqrt{24b^3}](https://tex.z-dn.net/?f=%5Csqrt%7B24b%5E3%7D)
![=\sqrt{24}\sqrt{b^3}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B24%7D%5Csqrt%7Bb%5E3%7D)
![=\sqrt{24}b^{\frac{3}{2}}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B24%7Db%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D)
![=\sqrt{24}b^{\frac{3}{2}}\sqrt{40}b^2](https://tex.z-dn.net/?f=%3D%5Csqrt%7B24%7Db%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%5Csqrt%7B40%7Db%5E2)
![=\sqrt{2^3\cdot \:3}b^{\frac{3}{2}}\sqrt{40}b^2](https://tex.z-dn.net/?f=%3D%5Csqrt%7B2%5E3%5Ccdot%20%5C%3A3%7Db%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%5Csqrt%7B40%7Db%5E2)
![=\sqrt{2^3}\sqrt{3}b^{\frac{3}{2}}\sqrt{40}b^2](https://tex.z-dn.net/?f=%3D%5Csqrt%7B2%5E3%7D%5Csqrt%7B3%7Db%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%5Csqrt%7B40%7Db%5E2)
![\sqrt{2^3}](https://tex.z-dn.net/?f=%5Csqrt%7B2%5E3%7D)
![=2^{3\cdot \frac{1}{2}](https://tex.z-dn.net/?f=%3D2%5E%7B3%5Ccdot%20%5Cfrac%7B1%7D%7B2%7D)
![=2^{3\cdot \frac{1}{2}}\sqrt{3}b^{\frac{3}{2}}\sqrt{40}b^2](https://tex.z-dn.net/?f=%3D2%5E%7B3%5Ccdot%20%5Cfrac%7B1%7D%7B2%7D%7D%5Csqrt%7B3%7Db%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%5Csqrt%7B40%7Db%5E2)
![=2^{\frac{3}{2}}\sqrt{3}b^{\frac{3}{2}}\sqrt{40}b^2](https://tex.z-dn.net/?f=%3D2%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%5Csqrt%7B3%7Db%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%5Csqrt%7B40%7Db%5E2)
![=2^{\frac{3}{2}}\sqrt{3}b^{\frac{3}{2}}\sqrt{2^3\cdot \:5}b^2](https://tex.z-dn.net/?f=%3D2%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%5Csqrt%7B3%7Db%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%5Csqrt%7B2%5E3%5Ccdot%20%5C%3A5%7Db%5E2)
![=2^{\frac{3}{2}}\sqrt{3}b^{\frac{3}{2}}\sqrt{2^3}\sqrt{5}b^2](https://tex.z-dn.net/?f=%3D2%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%5Csqrt%7B3%7Db%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%5Csqrt%7B2%5E3%7D%5Csqrt%7B5%7Db%5E2)
![=2^{\frac{3}{2}}\sqrt{3}b^{\frac{3}{2}}\cdot \:2^{\frac{3}{2}}\sqrt{5}b^2](https://tex.z-dn.net/?f=%3D2%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%5Csqrt%7B3%7Db%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%5Ccdot%20%5C%3A2%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%5Csqrt%7B5%7Db%5E2)
![=\sqrt{3}b^{\frac{3}{2}}\cdot \:2^{\frac{3}{2}+\frac{3}{2}}\sqrt{5}b^2](https://tex.z-dn.net/?f=%3D%5Csqrt%7B3%7Db%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%5Ccdot%20%5C%3A2%5E%7B%5Cfrac%7B3%7D%7B2%7D%2B%5Cfrac%7B3%7D%7B2%7D%7D%5Csqrt%7B5%7Db%5E2)
![=\sqrt{3}\cdot \:2^{\frac{3}{2}+\frac{3}{2}}\sqrt{5}b^{\frac{3}{2}+2}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B3%7D%5Ccdot%20%5C%3A2%5E%7B%5Cfrac%7B3%7D%7B2%7D%2B%5Cfrac%7B3%7D%7B2%7D%7D%5Csqrt%7B5%7Db%5E%7B%5Cfrac%7B3%7D%7B2%7D%2B2%7D)
![2^{\frac{3}{2}+\frac{3}{2}}](https://tex.z-dn.net/?f=2%5E%7B%5Cfrac%7B3%7D%7B2%7D%2B%5Cfrac%7B3%7D%7B2%7D%7D)
![=2^3](https://tex.z-dn.net/?f=%3D2%5E3)
![=2^3\sqrt{3}\sqrt{5}b^{\frac{3}{2}+2}](https://tex.z-dn.net/?f=%3D2%5E3%5Csqrt%7B3%7D%5Csqrt%7B5%7Db%5E%7B%5Cfrac%7B3%7D%7B2%7D%2B2%7D)
![b^{\frac{3}{2}+2}](https://tex.z-dn.net/?f=b%5E%7B%5Cfrac%7B3%7D%7B2%7D%2B2%7D)
![=b^{\frac{7}{2}}](https://tex.z-dn.net/?f=%3Db%5E%7B%5Cfrac%7B7%7D%7B2%7D%7D)
![=2^3\sqrt{3}\sqrt{5}b^{\frac{7}{2}}](https://tex.z-dn.net/?f=%3D2%5E3%5Csqrt%7B3%7D%5Csqrt%7B5%7Db%5E%7B%5Cfrac%7B7%7D%7B2%7D%7D)
![=2^3\sqrt{3\cdot \:5}b^{\frac{7}{2}}](https://tex.z-dn.net/?f=%3D2%5E3%5Csqrt%7B3%5Ccdot%20%5C%3A5%7Db%5E%7B%5Cfrac%7B7%7D%7B2%7D%7D)
![=8\sqrt{15}b^{\frac{7}{2}}](https://tex.z-dn.net/?f=%3D8%5Csqrt%7B15%7Db%5E%7B%5Cfrac%7B7%7D%7B2%7D%7D)
Answer:
Step-by-step explanation:
<u>Lets analyze the graph:</u>
- 1. It is decreasing function as line goes down as x-value increases. It means the slope is negative. We have two same negatives: -2
- 2. Line is solid, so the inequality sign is either ≤ or ≥
- 3. Shaded region is 'under' the line, it means the sign is ≤
<u>Based on above observations and the fact that all have same y-intercept of -2, we can say required inequality is:</u>
Correct option is C