Answer: answer is A. 80 degrees and 100 degree
Step-by-step explanation:
Answer the first is opposite and other is same
Step-by-step explanation:
Answer: 1,120 frogs
Step-by-step explanation:
If 12 out of every 180 frogs in the population have spots on their backs, the number that do not are;
= 180 - 12
= 168 frogs
168 frogs out of every 180 do not have spots. Out of 1,200 that would be;
= 168/180 * 1,200
= 1,120 frogs
Answer:
- y = 3000x + 40000
- a) the base salary of the salesperson
- a) the commission per subscription
Step-by-step explanation:
Slope intercept form is found by [ y = mx + b ] where m = slope and b = y-intercept. We are given that a salesperson gets $40000 as a base salary. Since this value doesn't change it is the starting value, in other words the y-intercept. The salesperson also gets $3000 for every subscription they sell. Since this amount grows at a constant rate, that is the slope. Now, we can write the slope intercept form of [ y = 3000x + 40000 ].
Best of Luck!
Answer:
Perimeter = 15
Step-by-step explanation:
We are told that the length of each of the 3 sides of the triangle are consecutive odd integers.
Thus means that we can write the 3 terms as;
(x - 2), x, (x + 2)
Thus, perimeter is;
P = (x - 2) + x + (x + 2)
P = 3x
If an angle is 120°, it means that the corresponding side that is directly opposite the angle is the largest side of the triangle.
Thus, this side is (x + 2)
Using cosine rule, we have;
(x + 2)² = x² + (x - 2)² - 2(x(x - 2))cos 120
Expanding, we have;
x² + 4x + 4 = x² + x² - 4x + 4 - (2x² + 4x)(-½)
This reduces to;
4x = x² - 4x + x² - 2x
2x² = 10x
2x = 10
x = 10/2
x = 5
Thus, other sides are;
(x - 2) = 5 - 2 = 3
And (x + 2) = 5 + 2 = 7
So,perimeter is;
P = 3x = 3 × 5 = 15
