The answer would be ~30~ because 2*2^3 = 2^4= 16 then 3*6=18 then 16+18-4=30
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Answer:
1) 45 degrees
2) 75 degrees
3) 37 degrees
4) 43 degrees
5) 137 degrees
Step-by-step explanation:
1) Angle 1 is equal to the 45 degree angle above it, so we know it is 45 degrees
2) All triangles are 180 degrees. Angle 2 = 180 - 60 - Angle 1 = 180 - 60 - 45 = 75
3) These three angles = 180 degrees. 180 - 68 - Angle 2 = 180 - 68 - 75 = 37
4) All triangles are 180 degrees. 180 - 100 - Angle 3 = 180 - 100 - 37 = 43
5) 180 - Angle 4 = 180 - 43 = 137
Answer:
≈0.76
Step-by-step explanation:
P(A) = 0.33
P(A and B) = 0.25
P(B) = ?
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<u>Probability of two events happening is the product of individual probabilities</u>
<u>Then to find the probability of one of the events: </u>
- P(B) = P(A and B) / P(A)
- P(B) = 0.25 / 0.33 ≈ 0.76
Answer:
14
Step-by-step explanation:
The perimeter is the sum of the sides, so we have
2x+x+15+4x-7=57
= 7x+8
Subtracting 8 from both sides, we get
7x= 49
Dividing 7 from both sides, we get
x=7
Our sides are then 2x=14, x+15=22, and 4x-7=21. 14 is our answer
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)
