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2 years ago

Which of the following is NOT true of a perpendicular bisector?

Mathematics

1 answer:

kodGreya [7K]2 years ago

3 0

To construct a perpendicular bisector, we have to draw two arcs using each of the endpoints as centers

<h3>What is a perpendicular bisector?</h3>

A perpendicular bisector is said to be a line that intersects the segment of another line perpendicularly and also divides it into two equal parts.

The properties of a perpendicular bisector include:

It divides a line segment into two equal parts

It makes right angles with the line segment.

Points in the perpendicular bisector are equal from the line of the segment.

Hence, all the mentioned properties are correct except that to construct it, we have to draw two arcs using each of the endpoints as centers.

Learn more about perpendicular bisector here:

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A pyramid has a square base of length 8cm and a total surface area of 144cm². Find the volume of the pyramid. (Please use Pythag

Sveta_85 [38]

Answer:

$\displaystyle V_{ \text{pyramid}}= 64 \: {cm}^{3}$

Step-by-step explanation:

we are given surface area and the length of the square base

we want to figure out the Volume

to do so

we need to figure out slant length first

recall the formula of surface area

$\displaystyle A_{\text{surface}}=B+\dfrac{1}{2}\times P \times s$

where B stands for Base area

and P for Base Parimeter

$\sf\displaystyle \: 144=(8 \times 8)+\dfrac{1}{2}\times (8 \times 4) \times s$

now we need our algebraic skills to figure out s

simplify parentheses:

$\sf\displaystyle \: 64+\dfrac{1}{2}\times32\times s = 144$

reduce fraction:

$\sf\displaystyle \: 64+\dfrac{1}{ \cancel{ \: 2}}\times \cancel{32} \: ^{16} \times s = 144 \\ 64 + 16 \times s = 144$

simplify multiplication:

$\displaystyle \: 16s + 64 = 144$

cancel 64 from both sides;

$\displaystyle \: 16s = 80$

divide both sides by 16:

$\displaystyle \: \therefore \: s = 5$

now we'll use Pythagoras theorem to figure out height

according to the theorem

$\displaystyle \: {h}^{2} + (\frac{l}{2} {)}^{2} = {s}^{2}$

substitute the value of l and s:

$\displaystyle \: {h}^{2} + (\frac{8}{2} {)}^{2} = {5}^{2}$

simplify parentheses:

$\displaystyle \: {h}^{2} + (4 {)}^{2} = {5}^{2}$

simplify squares:

$\displaystyle \: {h}^{2} + 16 = 25$

cancel 16 from both sides:

$\displaystyle \: {h}^{2} = 9$

square root both sides:

$\displaystyle \: \therefore \: {h}^{} = 3$

recall the formula of a square pyramid

$\displaystyle V_{pyramid}=\dfrac{1}{3}\times A\times h$

where A stands for Base area (l²)

substitute the value of h and l:

$\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{3}\times \{8 \times 8 \}\times 3$

simplify multiplication:

$\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{3}\times 64\times 3$

reduce fraction:

$\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{ \cancel{ 3 \: }}\times 64\times \cancel{ \: 3}$

hence,

$\sf\displaystyle V_{ \text{pyramid}}= 64 \: {cm}^{3}$

8 0

3 years ago

The system of equations Y =-3x+2 and Y = 3x-6 is shown on the graph below.

Ira Lisetskai [31]

Answer:

Step-by-step explanation:

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3 years ago

What is the slope of a line perpendicular to the line whose equation is

jonny [76]

Answer:

$- \frac{1}{2}$

Step-by-step explanation:

How do we find the line that's perpendicular to another?

We find the negative reciprocal. So for example if our slope is 2, the negative reciprocal would be $- \frac{1}{2}$ .

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3 years ago

Sound travels about 340m/s the function d(t)=340t gives the distance d(t) in meters that sound travel in t seconds how far does

Lunna [17]

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Step-by-step explanation:

d(t) = 340t

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d(31) = 340 * 31

d(31) = 10540 meters

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patriot [66]

Answer:

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Step-by-step explanation:

a p e x

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