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castortr0y [4]
3 years ago
10

I need help with this please

Mathematics
1 answer:
Sever21 [200]3 years ago
8 0

Answer:

• you have correctly identified the radius as 157 miles

• 77,398 square miles is the coverage area

Step-by-step explanation:

The area of a circle is given by the formula ...

A = π·r^2

Filling in your numbers and doing the arithmetic, we get ...

A = 3.14·(157 mi)^2 = 77,397.86 mi^2

The area is approximately 77,398 square miles.

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The product –2 • (–5) is shown on the number line. Use the drop-down menus to explain how the model on the number line could be
egoroff_w [7]

The procedure for representing the product -2\cdot (-5) is described as following:

1) Draw the distance of the first negative number.

2) Extend the distance by the magnitude of the second negative number.

3) Draw the distance of the reflection of the result found in 2).

In the number line <em>negative</em> numbers represent <em>leftward</em> distances. The product of a <em>negative</em> number and a <em>positive</em> number is equal to the distance of the <em>negative</em> one by the number of times such distance is repeated. In addition, we know by algebra that the product of two <em>negative</em> numbers equals a positive number, so we know that distance becomes <em>rightwards</em> due to reflection on the former line segment.

The procedure is described as following:

1) Draw the distance of the first negative number.

2) Extend the distance by the magnitude of the second negative number.

3) Draw the distance of the reflection of the result found in 2).

We kindly invite to check this question on number lines: brainly.com/question/1889174

7 0
2 years ago
Who is estimated at 250 people would attend the movie but 255 people actually attended what is the percent error to the nearest
stepladder [879]

Answer:

Percent error = 2%

Step-by-step explanation:

Given:

Expected value = 250

Actual value = 255

Find:

Percent error

Computation:

Percent error = [(Actual value - Expected value)/Expected value]100

Percent error = [(255 -250) / 250]100

Percent error = 2%

7 0
3 years ago
In the figure below, XZ is a diameter of circle A what is the arc measure of YZ in degrees
diamong [38]

Answer:

arc YZ = 59°

Step-by-step explanation:

Since XZ is a diameter then ∠ XAZ = 180°

∠XAY + ∠ YAZ = ∠ XAZ , substitute values

11w + 5w + 4 = 180, that is

16w + 4 = 180 ( subtract 4 from 180 )

16w = 176 ( divide both sides by 16 )

w = 11

Thus ∠ YAZ = 5w + 4 = 5(11) + 4 = 55 + 4 = 59°

The arc YZ is the measure of the central angle it subtends, thus

arc YZ = 59°

8 0
3 years ago
The half-life of a substance is how long it takes for half of the substance to decay or become harmless (for certain radioactive
marusya05 [52]

Answer:

31.0 grams.

Step-by-step explanation:

According to the given information

Half-life of a substance = 37 years

Initial amount = 202 gram

The exponential function for half-life of a substance is

A(t)=A_0(0.5)^{\frac{t}{h}}

where, A₀ is initial amount, t is time and h is half life.

Substitute A₀=202 and h=37 in the above function.

A(t)=202(0.5)^{\frac{t}{37}}

We need to find the amount of the substance remaining after 100 years.

Substitute t=100 in the above function.

A(100)=202(0.5)^{\frac{100}{37}}

A(100)=31.0282146

Round the answer to the nearest tenth.

A(100)\approx 31.0

Therefore, the amount of the substance remaining after 100 years is 31.0 grams.

4 0
3 years ago
Which of the following is the product of x^2+ 8x + 12 and 4x?
harina [27]

Answer: x(x+56) if not pleas correct me there is also no answers to choose from

Step-by-step explanation: hope this helps!

3 0
3 years ago
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