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GREYUIT [131]
3 years ago
7

Suppose an isosceles triangle ABC has A= pi/6 and b=5=c. What is the length of a^2.

Mathematics
2 answers:
Oliga [24]3 years ago
3 0
Check the picture below.

mars1129 [50]3 years ago
3 0

Answer:

Option A. 5²(2-√3)

Step-by-step explanation:

In an isosceles triangle b = c = 5 and ∠A = π/6

By cosine rule in any triangle

a² = b² + c² - 2bc cosA

By putting the values of b, c and ∠A in the equation

a² = 5² + 5² - 2×5×5×cos(π/6) = 25 + 25 - (50√3/2) = 50 - 25√3

a² = 25(2-√3) = 5²(2-√3)

Therefore the answer is Option A. 5²(2 - √3)

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The horizontal axis in the sampling distribution of ModifyingAbove p with caret represents all possible sample proportions from
lora16 [44]

Answer: (a). 99 percent of the sample proportions results in a 99% confidence interval that includes the population proportion.

(b). 1 percent of the sample proportions results in a 99% confidence interval that does not include the population proportion.

Step-by-step explanation:

(a). 99 percent of the sample proportions results in a 99% confidence interval that includes the population proportion.

Explanation: If multiple samples were drawn from the same population and a 99% CI calculated for each sample, we would expect the population proportion to be found within 99% of these confidence intervals.

(b). 1 percent of the sample proportions results in a 99% confidence interval that does not include the population proportion.

Explanation: The 99% of the confidence intervals includes the population proportion value, it means, the remaining (100% – 99%) 1% of the intervals does not includes the population proportion.

If multiple samples were drawn from the same population and a 99% CI calculated for each sample, we would expect the population proportion to be found within 99% of these confidence intervals and 1 percent of the sample proportions results in a 99% confidence interval that does not include the population proportion.

5 0
3 years ago
the sum of two numbers is 9. if one number is subtracted from the other, the result is 3. find the numbers
irakobra [83]
X, y - the numbers

The sum of the two numbers is 9.
x+y=9

If one number is subtracted from the other, the result is 3.
x-y=3

Solve the system of equations:
x+y=9 \\
\underline{x-y=3} \\
x+x=9+3 \\
2x=12 \ \ \ |\div 2 \\
x=6 \\ \\
x+y=9 \\
6+y=9 \ \ \ |-6 \\
y=3

The numbers are 6 and 3.
6 0
3 years ago
Read 2 more answers
The price of a video game was reduced from $60
Zigmanuir [339]
You take the orignal price of the video game and subtract the new price to see how much it was reduced. 60-45 = 15. then you take the reduced amount of the game (15) and divide by the original price (60). 
you get 25%
your answer is B
7 0
3 years ago
Read 2 more answers
How far can you run in 5/7 of an hour if you run at a speed of 8 2/5 mph?
Mazyrski [523]
Answer: you can run 6 miles


explanation: 8 2/5 divided by seven = 1.2 1.2x5 = 6
5 0
4 years ago
The measures of the angles between the resultant and two applied forces are 26° and
erma4kov [3.2K]

Answer:

  48.8 lbs

Step-by-step explanation:

The forces can be modeled by a triangle with acute angles 20° and 26°, and obtuse angle 134° opposite a side of length 80. The larger component force will be opposite the angle 26°, and can be found using the Law of Sines:

  a/sin(A) = c/sin(C)

  x/sin(26°) = 80/sin(134°)

  x = 80sin(26°)/sin(134°) ≈ 48.753 . . . . pounds

The larger component force is about 48.8 pounds.

6 0
2 years ago
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