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crimeas [40]
3 years ago
13

A circle has an area of 497 square inches. What is the circumference of the circle?

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
3 0

Answer:

easy peasy

Step-by-step explanation:

we have, area = 497 sq. units

that is, (pi) (radius)^2=497

=> (22/7) x r^2 = 497

=> r^2 = 158.13

=> r = √158.13

=> r = 12.57

now we also have radius, soooo

=> circumference = 2 (pi) (radius)

=> (2) (22/7) (12.57)

=> 79.01 inches

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The average price of gasoline in Paris, France, is 1.91 euros per liter. If there are 3.785 liters in one gallon, and the exchan
kirill [66]

Answer:

The price of gasoline in Paris is $6.00/gallon

Step-by-step explanation:

We are asked to find the price of gas in dollars per gallon for gasoline in Paris.

Step 1

We are told in the question that: the average price of gasoline in Paris, France, is 1.91 euros per liter.

Also we are told that, the exchange rate is 1.203 euros for one dollar

We convert the Euros to dollars

If, 1.203 euros = 1 dollar

1.91 euros = x dollars

We Cross Multiply

1.203 euros × x dollars = 1.91 euros × 1 dollar

x dollars = 1.91 euros × 1 dollar/ 1.203 euros

x dollars = 1.5876974231 dollars

Therefore, 1.203 euros = Approximately 1.59 dollars.

Hence, the price of gasoline in Paris, France is 1.59 dollars per liter.

Step 2

We convert the from liter to gallon

In the question, we are told that:

If there are 3.785 liters in one gallon

Therefore, if

1 liter of gasoline = 1.59 dollars

3.785 liters of gasoline =

Cross Multiply

= 3.785 liters × 1.59

= 6.01815 dollars.

Approximately to the nearest whole number = 6.00 dollars.

Since 3.785 liters of gasoline = 1 gallon of gasoline, therefore, the price of gas in dollars per gallon for gasoline in Paris is $6.00/gallon

7 0
3 years ago
Write the equation of the line in slope-intercept form.
Ymorist [56]

Answer:

y = 1/40x + 20

Step-by-step explanation:

Slope-intercept equation format:

y = mx + b

m = slope/ gradient/ constant of variation/ rate of change

b = y-intercept

To find the slope, use the formula:

\frac{y_2-y_1}{x_2-x_1}

Find  two random points:

1 - (0.5, 40) , 2 - (1, 60)

Plug in:

\frac{60-40}{1-0.5}

Solve:

\frac{20}{0.5}

Divide:

\frac{1}{40}

The y-intercept is when the x-coordinate is equal to 0.

The y-intercept is always the beginning.

So observing the graph, the first point is (0, 20)

The x-coordinate is 0.

Y intercept = 20.

Plug in both slope and y-intercept:

y = 1/40x + 20

8 0
2 years ago
The coordinates of three vertices of square ABCD are A(−212,112),B(−212,−3), and C(2,112).
Lady_Fox [76]

Answer:

<em>P=760</em>

Step-by-step explanation:

Three of the coordinates of the square ABCD are A(-212,112) B(-212,-3) C(2,112). The image below shows the square is not ABCD but ABDC. In fact, this is not a square, as we'll prove later.

Note the x-coordinate of A and B are the same. It means this side is parallel to the y-axis. Also, the y-coordinate of A and C are the same, meaning this side is parallel to the x-axis. The missing point D should have the same x-coordinate as C and y-coordinate as B, i.e. D=(2,-3).

This shape has sides that are parallel to both axes.

To calculate the perimeter we find the length of two sides.

The distance from A to B is the difference between their y-axis:

w=112-(-3)=115

The distance from A to C is the difference between their x-axis:

l=2-(-212)=215

It's evident this is not a square but a rectangle. The perimeter is

P=2w+2l=330+430

P=760

7 0
3 years ago
Tuesday’s attendance was 70% of Monday’s attendance, 50. What was Tuesday’s attendance?
lara [203]

Answer:

35

Step-by-step explanation:

100 / 50 = 2

70 / 2 = 35

3 0
3 years ago
Which algebraic expression represents the phrase “fourteen increased by a number”?
agasfer [191]

Answer:

the answer is B

Step-by-step explanation:

James James James jams James sano a ao

3 0
3 years ago
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