If the larger angle is x and the smaller angle is y, y=(1/2)x+30 since it's 30 more than 1/2 of it. In addition, x+y=180 since they are supplementary. Plugging y=(1/2)x+30 into that, we get x+x/2+30=180=1.5x+30. Subtracting 30 from both sides, we get 1.5x=150. Next, we can divide both sides by 1.5 to get x=100 and y=(1/2)*100+30=50+30=80
Answer:
y = (-5/3)x - 5
Step-by-step explanation:
5x + 3y = =15
slope intercept for is: y = mx + b
3y = -5x=15
divide both sides by 3:
y = (-5/3)x - 5
Answer:
The nth term is 109-9n
Step-by-step explanation:
Here, we want to find the nth term of the given arithmetic sequence
Mathematically, we have the nth term as;
Tn = a + (n-1)d
where a is the first term which is 100 in this case
d is the common difference which is the value obtained by subtracting the preceding term from the succeeding term; it is constant throughout the sequence
The value here is thus;
82-91 = 91-100 = -9
Substituting these values
Tn = 100 + (n-1)-9
Tn = 100 -9n + 9
Tn = 100 + 9 - 9n
Tn = 109-9n
The volume is about 7234.56 cubic mm.
I assume the radius is 12 mm, it must have been repeated accidentally.
To find the volume of a sphere, we cube the radius, multiply by pi and finally multiply by 4/3.
We are the steps:
(12^3) = 1728 x pi (3.14) = 5425.92 x (4/3) = 7234.56
Answer:
<h2>
29</h2>
Step-by-step explanation:
