Answer:
10. x = 7√2
11. x = 9, y = 18
12. x = 6√2
13. x = about 11ft
14. x = 8
15 3,4,5
Step-by-step explanation:
10. pythagorean theorem a^2 + b^2 = c^2
11. it is a 30, 60, 90 triangle; since 9√3 is across from the 60 degree angel, we know that the length across from 30 is 9. And the length across the right angle is double the one across the 30 degree angle.
12. pythagorean theorem
13. trigonomotry, (sine, cosine, tangent), you want to find the angle that is next to the right angle. to find that angle you do cosine of 4 and 12 (cos^-1 = 4/14). Next, you find x, you use sine of 71 times 12. When you plug it in it should look like this = 12sin(71 .
14. it is a 3,4,5 triangle x = 8 because it is double 4
15. because it is
Answer:
4
Step-by-step explanation:
a+b=cdfg = 4
big brain.
A suitable calculator can row-reduce the augmented matrix.
first number: 3
second number: 1
third number: 8
Would it be 39=9 ? I don’t know I think this
Would be it
Answer:
Step-by-step explanation:
![\sqrt[3]{x+4}+\sqrt[3]{2x +8}=0\\\\\sqrt[3]{x+4}= -\sqrt[3]{2x + 8}\\\\(x +4)^{\frac{1}{3}}=-(2x+8)^{\frac{1}{3}}\\\\](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%2B4%7D%2B%5Csqrt%5B3%5D%7B2x%20%2B8%7D%3D0%5C%5C%5C%5C%5Csqrt%5B3%5D%7Bx%2B4%7D%3D%20-%5Csqrt%5B3%5D%7B2x%20%2B%208%7D%5C%5C%5C%5C%28x%20%2B4%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%3D-%282x%2B8%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%5C%5C%5C%5C)
Take cube,
![[(x+4)^{\frac{1}{3}}]^{3} =- [(2x +8)^{\frac{1}{3}}^{3}]\\\\(x+4)^{3*\frac{1}{3}}=-(2x + 8)^{3*\frac{1}{3}}\\\\](https://tex.z-dn.net/?f=%5B%28x%2B4%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%5D%5E%7B3%7D%20%3D-%20%5B%282x%20%2B8%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%5E%7B3%7D%5D%5C%5C%5C%5C%28x%2B4%29%5E%7B3%2A%5Cfrac%7B1%7D%7B3%7D%7D%3D-%282x%20%2B%208%29%5E%7B3%2A%5Cfrac%7B1%7D%7B3%7D%7D%5C%5C%5C%5C)
x + 4 = - (2x + 8)
x +4 = 2x *(-1) + 8 *(-1)
x+ 4 = -2x - 8
x +2x+4 = - 8
3x + 4 = - 8
3x = - 8 -4
3x = -12
x = -12/3
x = -4
