Answer:
The first one is 141 degrees, the second one is 39 degrees, the third is 149 degrees, the fourth one is 98 degrees, the fifth one is 102 degrees, the sixth one is 50 degrees, the seventh one is 74 degrees, the eighth one is 83 degrees, the ninth one is 95 degrees, the tenth one is 162 degrees.
Step-by-step explanation:
Basically you can look at the lines and tell if they are the same degree or not and if they are not you subtract that number from 180 to get your degree. I've already done this worksheet before and got a 100%
Answer:
139.25 m²
Step-by-step explanation:
Area of the square = 10 * 10 = 100 m²
Radius of the semicircle = 5 m
Area of the semicircle = π(5)²/2 = 39.25 m²
Total area = 100 + 39.25 = 139.25 m²
Answer: 1/8
Step-by-step explanation:
Number of red marbles = 12
Number of blue marbles = 8
Number of yellow marbles = 4
Total number of marbles = 24
Probability of getting red = 12/24 = 1/2
The probability of getting three reds with replacement will be:
= 1/2 × 1/2 × 1/2
= 1/8
Answer:
Domain -∞ < x < +∞
Range f(x) ≤ - 4
Step-by-step explanation:
The given quadratic function is f(x) = - 4 (x + 1)² - 4
Now, we have to find the domain and range of the quadratic function.
Now, it is clear from the given function that f(x) will have real value for all real value of x.
Therefore, the domain of the function is -∞ < x < +∞ (Answer)
Now, (x + 1)² is always ≥ 0
i.e. (x + 1)² ≥ 0
⇒ - 4 (x + 1)² ≤ 0 {Since the inequality sign changes for multiplying both sides of the equation by a negative term}
⇒ - 4 (x + 1)² - 4 ≤ - 4
⇒ f(x) ≤ - 4
Therefore, this is the required range of the function f(x). (Answer)
It's the same because you're trying to find net price (end price)
You're going to take in both scenarios 100%-15%= 85%
You're always going to be paying only 85% of the price.
