Answer:c
options A and B
Step-by-step explanation:
the ratio between the lengths of the two legs of a 30-60-90 triangle
General ration of 30-6- 90 degrees triangle is
x : xsqrt(3) : 2x
When x=1 the ratio becomes 1 : 1 sqrt(3)
when x= 2sqrt(3) the ratio becomes
It becomes
Two sides of 30-60-90 triangle cannot be equal
so option c and option D are not possible
sqrt(2) is also not possible because we have sqrt(3) in general ratio
PLS MARK ME AS BRAINLIEST.
Answer:
Facing Right
Step-by-step explanation:
Given inequalities are:
4-x≤-1
Subtracting 4 from both sides
4-x-4≤-1-4
-x≤-5
Multiplying both sides with -1. Multiplying with a negative number changes the sign of the inequality
So,
x≥5
Second Inequality:
2+3x≥17
Subtracting 2 from both sides
2+3x-2≥17-2
3x≥15
Dividing both sides by 3
x≥5
Union of both solutions:
x≥5 ∩ x≥5
=> x≥5
Hence the solution will be facing right on the number line towards all numbers greater than or equals to 5 ..
Using the Empirical Rule, it is found that her finishing time will be between 70 and 82 seconds in 95% of her races.
<h3>What does the Empirical Rule state?</h3>
It states that, for a normally distributed random variable:
- Approximately 68% of the measures are within 1 standard deviation of the mean.
- Approximately 95% of the measures are within 2 standard deviations of the mean.
- Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, the mean is of 76 seconds and the standard deviation is of 3 seconds, then:
76 - 2 x 3 = 70.
76 + 2 x 3 = 82.
Which means that values between 70 and 82 seconds are within 2 standard deviations of the mean, hence the percentage is of 95%.
More can be learned about the Empirical Rule at brainly.com/question/24537145
Answer:
Sample Response: Break the figure into a parallelogram and a triangle. Find the area of each using the formulas A=bh and A=1/2bh. The sum of the areas is the area of figure.
Step-by-step explanation:
Answer: f(2)=15, f(-2)=18, all real #s
Step-by-step explanation:
1. f(2)=4(2)^2-2+1=16-1=15
2. f(-2)=4(-2)^2-(-2)+1=16+3=18