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mihalych1998 [28]
2 years ago
8

Calculate the area of the quarter circle estimate using 3.14 for pi

Mathematics
1 answer:
mars1129 [50]2 years ago
6 0

The area of the quarter circle with radius 3ft is 7.065 ft^2

Area of a quarter circle is given by the formula:

Area = \frac{\pi r^2}{4}

Where r represents the radius of the circle

In the quarter circle shown, the radius, r = 3 feet

π  =  3.14

Substitute π = 3.14 and r = 3 into the formula Area = \frac{\pi r^2}{4}

Area = \frac{3.14 \times 3^2}{4}\\\\Area =   \frac{3.14 \times 9}{4}\\\\Area =  \frac{28.26}{4}\\\\Area = 7.065 ft^2

The area of the quarter circle with radius 3ft is 7.065 ft^2

Learn more here: brainly.com/question/25843249

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What Is 3,552,308,725 In Word Form
Liono4ka [1.6K]
3, 552, 308, 725 in word form is:

Three billion, five hundred fifty-two million, three hundred eight thousand, seven hundred twenty-five.

7 0
3 years ago
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four distinct circles are drawn in a plane. what is the maximum number of points where at least two of the circles intersect?
kolezko [41]

90 points where at least two of the circles intersect.

<h3>Define circle.</h3>

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the centre.

Given,

Four distinct circles are drawn in a plane.

Start with two circles; they can only come together in two places. The third circle contacts each of the previous two circles in two spots each, bringing the total number of intersections up to four with the addition of a third circle. The total number of intersections will rise by another 6 when a fourth circle intersects the first three. And the list goes on.

As a result, we get a recognizable, regular pattern: for each additional circle, there are two more intersections overall than in the circle before it.

The total number of intersections can be expressed as the sum because the maximum number of intersections of 10 circles must occur when each circle contacts every other circle in 2 places each.

2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 = 90.

90 points where at least two of the circles intersect.

To learn more about circle, visit:

brainly.com/question/11213974

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3 0
1 year ago
On a popular television quiz show, contestants gain points for getting questions correct, and lose points for getting the answer
lara [203]
Preston have to get some correct and some incorrect answers. 
6 0
3 years ago
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Factor 2x 2 - 10x + 8 completely.
murzikaleks [220]

Answer:

2(x-1)(x-4)

Step-by-step explanation:

Begin by dividing each term by 2 and pulling the 2 to the front.

2x^2-10x+8 = 2(x^2-5x+4)

This is a trinomial. Trinomials are three term algebraic expressions typically featuring variables to exponent powers. To break these trinomials down we factor them using the diamond method or GCF. The diamond method states that for a trinomial ax^2+bx+c multiply a*c then find two numbers which multiply to this number and add to b. When you find those numbers, write them as (x-/+ number)(x-/+number).

x^2-5x+4

a=1, c=4

ac=4 and add to b=-5 which -1 and -4 satisfy

The factored form is 2(x-1)(x-4).


6 0
3 years ago
Black Diamond Ski Resort charges $50 for ski rental and $15 an hour to ski. Bunny Hill Ski Resort charges $75 for ski rental and
andrew11 [14]

Answer:

The cost of 5 hours of skiing would be the same ($125) after 5 hours.

Step-by-step explanation:

Black Diamond:  ChargeBD(h) = $50 + ($15/hr)h, where h is the number of hours spent skiing.

Bunny Hill:  ChargeBH(h) = $75 + ($10/hr)h

We equate these two formulas to determine when the cost of using the ski slopes is the same:

ChargeBD(h) = $50 + ($15/hr)h = ChargeBH(h) = $75 + ($10/hr)h

We must now solve for h, the number of hours spent skiing:

50 + 15h = 75 + 10h

Grouping like terms, we obtain:

5h = 25, and so h = 5 hours.

The cost of 5 hours of skiing would be the same ($125) after 5 hours.

3 0
3 years ago
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