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2 years ago

What is the standard form of the equationCenter (-14,5), circumference: 22π

Mathematics

1 answer:

IRISSAK [1]2 years ago

6 0

The standard equation for a circle with center at (h,k) and radius r is

(x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center of the circle.

The formula for the circumference of a circle is C = 2pi*r. In this particular problem, we need to determine the radius of the circle. That radius is: r = C/[2pi]. Here, C = 22pi, so we get r = 22pi/[2pi], and so r^2 = 11^2.

Putting to use the given info, we have:

(x+14)^2 + (y-5)^2 = 11^2

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Use properties to find the sum or product 9 times 52

hammer [34]

9 times 52 = 468 hope that helped!!

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2 years ago

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The frequency table shows a set of data collected by a doctor for adult patients who were diagnosed with a strain of influenza.

Alexxx [7]

Answer:

The answer would be the second plot

Step-by-step explanation:

The frequency table show how many sick patients there are in a single age range. In the first two plots, the total dots between numbers 24, 25, 26, 27, 28, and 29 add up to 3, and the other 2 plots do not, so those are not correct.

When we add up the total of dots from ages 30-34 on the first plot, there are only 4 sick patients. On the second graph, there are 6 total patients in that age range. Therefore, the dot plot that corresponds with the frequency table is the second one.

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3 years ago

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Using the formula C = 2πr, find the circumference of a circle with diameter of 28 inches. Round your answer to the nearest inch.

Paraphin [41]

Answer:

88 inches

Step-by-step explanation:

Diameter is 2 times the radius (r) so divided 28 by 2 to get 14 as the radius.

Plug this in:

2π14

28π

87.964

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2 years ago

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Alex and his friend Kim made a one-gallon pitcher of lemonade because it was so hot. They drank 5 glasses that each help 2 cups

natulia [17]

we know that

4 cups of lemonade = 1 quart

1 gallon of lemonade = 4 quarts

1 gallon of lemonade = 16 cups

Step 1

find the amount of lemonade that's left expressed in cups

5 glasses * 2 cups = 10 cups

16 cups - 10 cups = 6 cups.

There are 6 cups of lemonade left.

Step 2

find the amount of lemonade that's left expressed in quarts:

4 cups = 1 quart.

(6 cups divided by 4 cups will equal the quarts.)

6/4=1.5

6 cups = 1.5 quarts.

There are 1.5 quarts of lemonade left.

Step 3

find the amount of lemonade that's left expressed in gallons

4 quarts = 1 gallon.

(1.5 quarts divided by 4 quarts will equal the gallon)

1.5/4=0.375

1.5 quarts = 0.375 gallon.

There is 0.375 gallon left of lemonade.

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2 years ago

If A is the center of the circle, then which statement explains how segment ED is related to segment FD? Circle A with inscribed

Sveta_85 [38]

Answer:

The correct option is;

Segment ED ≅ segment FD because segment EF is perpendicular to a radius of circle A

Step-by-step explanation:

All chords perpendicular to the radius of a circle are bisected by the radius of the circle

Given that DA can be extended to the circumference of circle A to form a radius of the circle A, and that DA is perpendicular to EF, therefore, DA bisects EF or EF is bisected into two equal parts by DA such that segment ED is congruent to segment FD

Therefore, the correct option is that segment ED ≅ segment FD because segment EF is perpendicular to a radius of circle A.

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2 years ago