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suter [353]
2 years ago
9

Determine the area of the composite figure below

Mathematics
1 answer:
MrRa [10]2 years ago
5 0

Answer:

  • 2772 cm²

Step-by-step explanation:

<u>Work:</u>

  • 2(π x 21 x 21/2) + (π x 42 x 42/4) = Area of figure
  • => π x 21 x 21 + (π x 42 x 42/4) = Area of figure
  • => (22/7 x 21 x 21) + (22/7 x 21 x 21) = Area of figure
  • => 2(22/7 x 21 x 21)
  • => 2(22 x 3 x 21)
  • => 2772 cm²

Hence, the area of the shape is 2772 cm².

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What are the ratios for sin A and cos A? The triangle is not drawn to scale.
dalvyx [7]

Answer:

SinA = \frac{84}{85}  and  CosA=\frac{13}{85}

Step-by-step explanation:

The ratios of sine and cos are defined as follows:

Sin A = \frac{Opposite}{Hypotenuse} , and

CosA = \frac{Adjacent}{Hypotenuse}

The hypotenuse is always the side opposite of the 90 degree angle (for the given triangle, the hypotenuse is 85)

Since we are looking at the angle A, the opposite side with respect to A would be the side length of 84. That leaves the side 13 as the adjacent side.

Thus, we can now write:

Sin A = \frac{Opposite}{Hypotenuse}\\SinA = \frac{84}{85}

CosA = \frac{Adjacent}{Hypotenuse}\\CosA=\frac{13}{85}

The correct answer is  the first answer choice.

7 0
3 years ago
True or false: the Pythagorean theorem can be applied to every triangle
Mnenie [13.5K]

Answer:

False

Step-by-step explanation:

The Pythagorean theorem can only be applied to right triangles.

4 0
3 years ago
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What is the multiplicative inverse of -1/3
motikmotik
-1/3 . -3/1 = 1
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3 years ago
A jar has 10 red marbles, 6 purple marbles, and 4 turquoise marbles. If you pull a red marble, you win nothing. If you pull a pu
Klio2033 [76]

Answer:

The expected value = -1.4 Dollars

Step-by-step explanation:

The number of red marbles = 10

The number of red purple = 6

The number of red turquoise = 4

The total number of marbles in the jar = 10 + 6 + 4 = 20 marbles

The prize won for pulling a red marble = 0

The prize won for pulling a purple marble = $2

The prize won for pulling a turquoise marble = $5

The probability of pulling a red marble = 10/20 = 1/2

The probability of pulling a purple marble = 6/20 = 3/10

The probability of pulling a turquoise marble = 4/20 = 1/5

Expected value, EV, probability is the foreseen or bankable future value value for a current investment. The expected value is found by finding the product of each outcome and the probability of occurrence of the outcome and then adding the values of the products together

To find the expected value, EV sum the prizes won multiplied by the probability of winning that prize and then subtract the cost of playing the game.

Therefore;

EV = 1/2×0 + 3/10×2 + 1/5 × 5 -3 = -1.4

The expected value = $(-1.4).

8 0
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Work out the area of this semi circle
Phantasy [73]

Answer:

15.71

Step-by-step explanation:

10*3.142=31.42

31.42/2=

15.71

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