Find the measure of x. (to the nearest tenth)
1 answer:
For the given triangle, x measures A) 25.7 units.
Step-by-step explanation:
Step 1:
In the given triangle, the angle is 56°. The adjacent side has a length of x units and the hypotenuse of the triangle measures 46 units.
To calculate the value of x, we determine the cos of the triangle where we divide the length of the adjacent side by the length of the hypotenuse.
Step 2:
The length of the adjacent side = x units.
The length of the hypotenuse = 46 units.
The angle of the triangle = 56°.
So x = 25.7186 units, rounding this is off we get option A.
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Given a quadratic equation , we define the discriminant as
The number of real solutions of the equation depend on the sign of :
- If
the equation has two solutions
- If
the equation has one double solution
- If
the equation has no real solutions
In this case, we have
And so this equation has no real solutions.
Answer:
a
b
Ca
Cb
Explanation:
From the question we are told that
The sample size is n = 100
The upper limit of the 95% confidence interval is b = 47.2 years
The lower limit of the 95% confidence interval is a = 34.5 years
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=>
=>
Generally the margin of error is mathematically represented as
=>
=>
Considering question C a
From the question we are told the confidence level is 90% , hence the level of significance is
=>
The sample size is n = 22
Given that the sample size is not sufficient enough i.e we will make use of the student t distribution table
Generally the degree of freedom is mathematically represented as
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Considering question C b
From the question we are told the confidence level is 80% , hence the level of significance is
=>
Generally from the normal distribution table the critical value of is