The property shown in the following equation is 9 beacause simply we know 9=1 +8 so its easy
Answer:
1. H = 29 cm
2. θ = 44°
Step-by-step explanation:
1. We can find the height of the triangle by considering the isosceles triangle as two right triangles. The height can be found by using Pitagoras:
![L^{2} = H^{2} + B^{2}](https://tex.z-dn.net/?f=%20L%5E%7B2%7D%20%3D%20H%5E%7B2%7D%20%2B%20B%5E%7B2%7D%20)
Where:
L: is the sides of the isosceles triangle = 42 cm
B: is the base = 30 cm
H: is the height =?
Then, the height is:
![H = \sqrt{L^{2} - B^{2}} = \sqrt{(42 cm)^{2} - (30 cm)^{2}} = 29.4 cm = 29 cm](https://tex.z-dn.net/?f=%20H%20%3D%20%5Csqrt%7BL%5E%7B2%7D%20-%20B%5E%7B2%7D%7D%20%3D%20%5Csqrt%7B%2842%20cm%29%5E%7B2%7D%20-%20%2830%20cm%29%5E%7B2%7D%7D%20%3D%2029.4%20cm%20%3D%2029%20cm%20)
2. The two equal angles (θ) can be found using the following trigonometric identity:
![cos(\theta) = \frac{B}{L}](https://tex.z-dn.net/?f=%20cos%28%5Ctheta%29%20%3D%20%5Cfrac%7BB%7D%7BL%7D%20)
![\theta = cos^{-1}(\frac{30 cm}{42 cm}) = 44.4^{\circ} = 44^{\circ}](https://tex.z-dn.net/?f=%20%5Ctheta%20%3D%20cos%5E%7B-1%7D%28%5Cfrac%7B30%20cm%7D%7B42%20cm%7D%29%20%3D%2044.4%5E%7B%5Ccirc%7D%20%3D%2044%5E%7B%5Ccirc%7D%20)
Hence, the two equal angles are 44°.
I hope it helps you!
Answer:
3 values
Step-by-step explanation:
2x +8 <22 and 3x >9
Solve the two inequalities separately and then put them back together
2x +8 <22
Subtract 8 from each side
2x +8-8 <22 -8
2x < 14
Divide by 2
2x/2 < 14/2
x < 7
Then solve the second inequality
3x>9
Divide by 3
3x/3>9/3
x >3
Putting them back together
x>3 and x < 7
Since it has to be an integer
4,5,6 are possible choices
3 values
Answer:a: y=4.5+0.75x
B: y=2.5+1.25x
C: 7.5
Step-by-step explanation:
The answer is falseeeeeeeee