Answer:
Always
Step-by-step explanation:
An acute angle is an angle that is less than 90. Supplementary angles add up to 180.
So 180-89= 91
An obtuse angle is any angle that is greater than 90.
Here's a link to a better explanation.
brainly.com/question/14180317
Answer:
![30 + 0.05x < 60](https://tex.z-dn.net/?f=30%20%2B%200.05x%20%3C%2060)
The number of texts she can have is less than 600.
Step-by-step explanation:
Total monthly charge
30 + 0.05 for each text.
So, for x tests, the charge is:
![C(x) = 30 + 0.05x](https://tex.z-dn.net/?f=C%28x%29%20%3D%2030%20%2B%200.05x)
Write an inequality to represent the # of texts she can have?
It has to be under 60, so:
![C(x) < 60](https://tex.z-dn.net/?f=C%28x%29%20%3C%2060)
![30 + 0.05x < 60](https://tex.z-dn.net/?f=30%20%2B%200.05x%20%3C%2060)
The solution is:
![0.05x < 30](https://tex.z-dn.net/?f=0.05x%20%3C%2030)
![x < \frac{30}{0.05}](https://tex.z-dn.net/?f=x%20%3C%20%5Cfrac%7B30%7D%7B0.05%7D)
![x < 600](https://tex.z-dn.net/?f=x%20%3C%20600)
The number of texts she can have is less than 600.
Answer:
972 x^16 y^24
Step-by-step explanation:
Simplify the following:
(-2 x^3 y^7)^2 (3 x^2 y^2)^5
Multiply each exponent in -2 x^3 y^7 by 2:
(-2)^2 x^(2×3) y^(2×7) (3 x^2 y^2)^5
2×7 = 14:
(-2)^2 x^(2×3) y^14 (3 x^2 y^2)^5
2×3 = 6:
(-2)^2 x^6 y^14 (3 x^2 y^2)^5
(-2)^2 = 4:
4 x^6 y^14 (3 x^2 y^2)^5
Multiply each exponent in 3 x^2 y^2 by 5:
4 x^6 y^14×3^5 x^(5×2) y^(5×2)
5×2 = 10:
4×3^5 x^6 y^14 x^(5×2) y^10
5×2 = 10:
4×3^5 x^6 y^14 x^10 y^10
3^5 = 3×3^4 = 3 (3^2)^2:
4×3 (3^2)^2 x^6 y^14 x^10 y^10
3^2 = 9:
4×3×9^2 x^6 y^14 x^10 y^10
9^2 = 81:
4×3×81 x^6 y^14 x^10 y^10
3×81 = 243:
4×243 x^6 y^14 x^10 y^10
4 x^6 y^14×243 x^10 y^10 = 4 x^(6 + 10) y^(14 + 10)×243:
4×243 x^(6 + 10) y^(14 + 10)
14 + 10 = 24:
4×243 x^(6 + 10) y^24
6 + 10 = 16:
4×243 x^16 y^24
4×243 = 972:
Answer: 972 x^16 y^24
Answer:
The last option y<4. Y is less than 4 since the shaded region is below 4 on the y Axis.
Answer :
a. p²+q²=r²
According to the Pythagorean theorem :
p²+q²=r² ,because this is a right triangle and r is the length of the hypotenuse.