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2 years ago

Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.

Mathematics

1 answer:

77julia77 [94]2 years ago

6 0

The square root is 8 the comment above is how you do the work^

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What is the area of this figure (4,1)(2,2)(2,-2)(-4,-2)(-2,-5)(2,-5)

V125BC [204]

Answer:

The area of this figure is 45 square units.

8 0

2 years ago

Determine the graph of the polar equation r=4/(1-1/2cosx(theta))

crimeas [40]

Answer:

see below

Step-by-step explanation:

We assume you want the graph of ...

$r=\dfrac{4}{1-\frac{1}{2}\cos{(\theta)}}$

A graphing calculator or spreadsheet is useful for this.

You know cos(θ) = cos(-θ), so the graph is symmetrical about the x-axis. You can evaluate the function at a few points to find the general outline.

r at 0° = 8

r at 30° ≈ 7.05

r at 45° ≈ 6.19

r at 60° ≈ 5.33

r at 90° = 4

r at 120° = 3.2

r at 135° ≈ 2.96

r at 150° ≈ 2.79

r at 180° ≈ 2.67

6 0

3 years ago

Explain the difference between 331/3% and 33%

Scrat [10]

1/3 and 33.3 percent are nearly equivalent. 1/3 is actually equal to 33.33333333% (with never ending 3s at the end), so 1/3 is slightly greater than 33.3% (which has only one 3 after the decimal place).

7 0

3 years ago

Will someone please answer this?

AfilCa [17]

Ok so you would find the area of all of the shapes and then add it together. to find the area of the square you would multiply 8 by 8 to get 64. Then you would go on to finding the area of the four triangles which can be found by multiplying the base times the height to get 48. after you do this you would divide 48 by two to get 24 which is your area for the triangles. since there are four triangles you would multiply 24 by 4 to get 96. Finally to get the surface area you add 96 with 64 to get your surface area which is 160 in^2

4 0

3 years ago

3. Anna has a large bag of coins. After counting the coins, she recorded the counts in the table below. She then decided to draw

Sergio [31]

Answer:

(a) P = 0.2821

(b) P = 0.3718

(c) P = 0.7179

(d) P = 0.6538

(e) P = 0.4231

Explanation:

There is a total of 78 coins in the bag because:

22 + 27 + 11 + 18 = 78

From those 78 coins, 22 are quarters, so the probability that Anna obtains a quarter on the first draw is:

P = 22/78 = 0.2821

Since Anna replaces each coin before the next draw, the probability for each draw is independent. Therefore, the probability that Anna obtains a penny or a dime on the second draw is calculated as:

P = (18 + 11)/78 = 0.3718

Because there are 18 pennies and 11 dimes in the bag.

In the same way, Anna will obtain at most 10 cents worth of money if she obtains a penny, a dime, or a nickel. So, the probability is equal to:

P = (27 + 11 + 18)/78 = 0.7179

The probability that Anna does not get a nickel on the fourth draw is:

P = (22 + 11 + 18)/78 = 0.6538

Finally, Anna obtains at least 10 cents if he obtains a dime or a quarter, so the probability is:

P = (22 + 11)/78 = 0.4231

Therefore, the answers are:

(a) P = 0.2821

(b) P = 0.3718

(d) P = 0.6538

(e) P = 0.4231

7 0

1 year ago