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2 years ago

A. What is the circumference of the

Mathematics

1 answer:

erik [133]2 years ago

6 0

Answer:

a) 94.2 cm

b) 78.5%

Step-by-step explanation:

a) since the square side = 30 cm

it means the diameter = 30 cm

then circumference of the largest circle that can be cut = 3.14×30 = 94.2 cm

b) the perimeter of the square = 30×4 = 120

94.2 for 120

x% for 100%

x = (100×94.2)/120 = 9420/120 = 942/12 = 78.5%

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Which geographic feature was common to the development of civilizations in ancient Egypt, China, India, and Mesopotamia?

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The answer is probably D

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3 years ago

A man buys a washing machine whose price VAT (value added Tax ) is Birr 175. lts VAT is charged at 15 % ,how much did the man ac

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Answer:

Birr 1341.67

Step-by-step explanation:

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2 years ago

Given the parabola below, find the endpoints of the latus rectum. (x-2)^2=-20(y+2)

Shtirlitz [24]

Answer:

The endpoints of the latus rectum are $(12, -7)$ and $(-8, -7)$ .

Step-by-step explanation:

A parabola with vertex at point $C(x, y) = (h,k)$ and whose axis of symmetry is parallel to the y-axis is defined by the following formula:

$(x-h)^{2} = 4\cdot p \cdot (y-k)$ (1)

Where:

$y$ - Independent variable.

$x$ - Dependent variable.

$p$ - Distance from vertex to the focus.

$h$ , $k$ - Coordinates of the vertex.

The coordinates of the focus are represented by:

$F(x,y) = (h, k+p)$ (2)

The <em>latus rectum</em> is a line segment parallel to the x-axis which contains the focus. If we know that $h = 2$ , $k = -2$ and $p = -5$ , then the latus rectum is between the following endpoints:

By (2):

$F(x,y) = (2, -2-5)$

$F(x,y) = (2,-7)$

By (1):

$(x-2)^{2} = -20\cdot (-7+2)$

$(x-2)^{2} = 100$

$x - 2 = \pm 10$

There are two solutions:

$x_{1} = 2 + 10$

$x_{1} = 12$

$x_{2} = 2-10$

$x_{2} = -8$

Hence, the endpoints of the latus rectum are $(12, -7)$ and $(-8, -7)$ .

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2 years ago

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I am Lyosha [343]

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2 years ago

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This would be the term referred to as a line segment. I hope this helps!

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2 years ago

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