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iren2701 [21]
3 years ago
14

Please help on this Question, I need Pre Calc help

Mathematics
1 answer:
Ksju [112]3 years ago
7 0
Your answer would be D

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Please help! Find the area and the perimeter of the shaded regions below. Give your answer as a completely simplified exact valu
Nadya [2.5K]

Answer:

The \ area \ of \ the \ figure = 4\dfrac{1}{2} \cdot \pi + 18 \ cm^2

Step-by-step explanation:

Given that the figure is made up of portion of a square and a semicircle, we have;

BC ≅ AB = 6 cm

The area of semicircle BC with radius BC/2 = 3 is 1/2×π×r² = 1/2×π×3² = 4.5·π cm²

Triangle ABC = 1/2 × Area of square  from which ABC is cut

The area of triangle ABC = 1/2×Base ×Height = 1/2×AB×BC = 1/2×6×6 = 18 cm²

The area of the figure = The area of semicircle BC + The area of triangle ABC

The area of the figure = 4.5·π cm² + 18 cm² = \dfrac{9 \cdot \pi +36}{2} \ cm^2.

5 0
3 years ago
Let f(x)=x-2 and g(x)=x2-7x-9 fins f(g(-1))
vlabodo [156]
The answer is -3 because you’re plugging g(x) into f(x). For every x there is in f(x), plug in g(x)’s equation. After you get another equation (simplified), which is x^2 -7x -11, plug -1 for every x and condense.
6 0
3 years ago
The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airp
yKpoI14uk [10]

Answer:

Confidence Interval in 95% confidence level for the quality rating is (6.06,7.46)

Step-by-step explanation:

Confidence Interval can be calculated using the formula M±ME where

  • M is the mean of the sample
  • ME is the margin of error in a given confidence level

Using the sample obtained from 50 business travelers we get

  • Mean of the sample is 6.76
  • standard deviation of the sample is 2.526

Margin of error (ME) around the mean using the formula

ME=\frac{z*s}{\sqrt{N} } where

  • z is the corresponding statistic in 95% confidence level (1.96)
  • s is the standard deviation of the sample (2.526)
  • N is the sample size (50)

Using the numbers in the formula we get:

ME=\frac{1.96*2.526}{\sqrt{50} } ≈ 0.70

Then the confidence interval becomes 6.76±0.70

6 0
3 years ago
The diagram below shows the rectangle PLUM.
Illusion [34]

Answer:

Area of rectangle PLUM = 75.00 square units

Step-by-step explanation:

Since diagonal of rectangle divides the rectangle into two equal triangles,

Therefore, area of the rectangle PLUM = 2× area of triangle PLM

By the mean proportional theorem,

In ΔPLM,

AP² = AM × AL

6² = AM × 8

AM = \frac{36}{8}

AM = 4.5 units

Area of PLM = \frac{1}{2}(\text{Base})(\text{height})

                     = \frac{1}{2}(ML)(AP)

                     = \frac{1}{2}(8 + 4.5)(6)

                     = 12.5 × 3

                     = 37.5 units²

Now area of rectangle PLUM = 2×37.5 = 75 units²

Therefore, area of the rectangle is 75.00 square units.

3 0
3 years ago
A fair dice is rolled. Work out the probability of getting a prime number. Give your answer in its simplest form.
Debora [2.8K]

Answer:

prime number = 2,3,5

P( getting prime number ) = 3/6

= 1/2

4 0
3 years ago
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