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2 years ago

Find the Area of the figure below, composed of a rectangle and a semicircle. Round to the nearest tenth place.

Mathematics

1 answer:

kap26 [50]2 years ago

8 0

Answer: 68.1

Step-by-step explanation:

The area of a semi-circle is 1/2 the area of a full circle. The area of a full circle is pi*r^2. Therefore, the area of a semi-circle is:

$Area=\pi r^2/2$

$Area=\pi (3)^2/2=9\pi /2$

The area of a rectangle is the length multiplied by the width:

$Area=l*w$

$Area=6*9=54$

The net area is the sum of the rectangle and the semi-circle:

$Area=(9\pi /2)+(54)=68.1$

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2 years ago

Help plz,BIG POINTS,also plz show me the steps as best as possible

Sidana [21]

Answer:

The correct answer is option 3.

Step-by-step explanation:

Given : ΔPQR, QM is altitude of the triangle

PM = 8

MR = 18

To find = QM

Solution :

PR = 8 + 18 = 26

Let, PQ = x , QR = y, QM = z

Applying Pythagoras Theorem in ΔPQR

$PQ^2+QR^2=PR^2$

$x^2+y^2=(26)^2$ ..[1]

Applying Pythagoras Theorem in ΔPQM

$PM^2+QM^2=PQ^2$

$8^2+z^2=(x)^2$ ..[2]

Applying Pythagoras Theorem in ΔQMR

$MR^2+QM^2=QR^2$

$18^2+z^2=(y)^2$ ..[3]

Putting values of $x^2$ and $y^2$ from [2] and [3 in [1].

$8^2+z^2+18^2+z^2=(26)^2$

$2z^2=(26)^2-(8)^2-(18)^2$

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3 years ago

Find the equation of the line through point (1,−5) and perpendicular to y=1/8x+2. Use a forward slash (i.e. "/") for fractions (

Masteriza [31]

Answer:

$y = -8x + 3$

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

$y = mx + b$

In which m is the slope and b is the y-intercept.

Perpendicular lines:

When two lines are perpendicular, the multiplication of their slopes is -1.

Perpendicular to y=1/8x+2

This line has slope $\frac{1}{8}$

So, for the line we want to find the equation, we have that:

$\frac{m}{8} = -1$

$m = -8$

$y = -8x + b$

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This means that when $x = 1, y = -5$ . We use this to find b. So:

$y = -8x + b$

$-5 = -8 + b$

$b = 3$

The equation of the line is:

$y = -8x + 3$

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Answer:

Step-by-step explanation:

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