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2 years ago

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Mathematics

1 answer:

Naya [18.7K]2 years ago

4 0

Regarding the details provided, the following assertion is accurate: angle

AEC is 90 degrees. The correct option therefore is C.

The first step in this situation is to note that the CE line is parallel to the AED line.

Due to the fact that both lines are perpendicular, the angle formed by them is 90 degrees.

As a result, the AEC is:

∠AEC = 90

Correct question is given below here

Which statement is true about the given information?

∠CED measures 45°.

∠CED measures 180°.

∠AEC measures 90°.

∠AEC measures 45°.

Learn more about triangles , sides & angles here brainly.com/question/4221632

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Circles are described below by the coordinates of their centers, C, and one point on their circumference, A. Determine an equati

Art [367]

Using the given center and point at the circumference, the equation of the circles are:

a) $(x - 5)^2 + (y - 2)^2 = 100$

b) $(x + 2)^2 + (y + 5)^2 = 169$

c) $(x - 5)^2 + (y + 1)^2 = 65$

<h3>What is the equation of a circle?</h3>

The equation of a circle of radius r and center $(x_0,y_0)$ is given by:

$(x - x_0)^2 + (y - y_0)^2 = r^2$

Item a:

Center C(5,2), hence $x_0 = 5, y_0 = 2$ .

The point at the circumference is A(11,10), hence:

$(x - 5)^2 + (y - 2)^2 = r^2$

$(11 - 5)^2 + (10 - 2)^2 = r^2$

$r^2 = 100$

Hence:

$(x - 5)^2 + (y - 2)^2 = 100$

Item b:

Center C(-2,-5), hence $x_0 = -2, y_0 = -5$ .

The point at the circumference is A(3,-17), hence:

$(x + 2)^2 + (y + 5)^2 = r^2$

$(3 + 2)^2 + (-17 - 5)^2 = r^2$

$r^2 = 169$

Hence:

$(x + 2)^2 + (y + 5)^2 = 169$

Item c:

Center C(5,-1), hence $x_0 = 5, y_0 = -1$ .

The point at the circumference is A(-2,-5), hence:

$(x - 5)^2 + (y + 1)^2 = r^2$

$(-2 - 5)^2 + (-5 + 1)^2 = r^2$

$r^2 = 65$

Hence:

$(x - 5)^2 + (y + 1)^2 = 65$

You can learn more about equation of a circle at brainly.com/question/24307696

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2 years ago

A grocer sells 50 loaves of bread a day. The cost is $0.75 a loaf. The grocer estimates that for each $0.05 price increase, 2 fe

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Answer:

http://www.beaconlearningcenter.com/documents/1509_01.pdf

Step-by-step explanation:

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2 years ago

A polynomial function P(x) with rational coefficients has the given roots find two additional roots of P(x)=0 i and 7+8i

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Note that if a + bi is a root of P(x) = 0, then a – bi is also a root of P(x) = 0.

In this case, i and 7 + 8i are two roots of P(x) = 0. So –i and 7 – 8i are two additional roots of P(x) = 0.

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3 years ago

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The output of a plant is 4335 pounds of ball bearings per week (five days). If each ball bearing weighs 0.0113 g, how many ball

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Answer:

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Step-by-step explanation:

The total output of a plant in a 5-day week is 4335 pounds

Each ball bearing weighs 0.0113g

We are to calculate the number of ball bearings made per day

First, we ensure both mass are in the same unit

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Number of bearings made in a week therefore

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≈174010890 (to the nearest whole number)

Since there are 5 days in a week of production,

Daily Production=174010890/5

=34802178

The plant makes 34,802,178 ball bearings in a single da

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Janelle bought a pair of sneakers for $75.65. There was a 15% discount. What was the original price of the sneakers?

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The original price of the sneakers was $87.

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