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1 year ago

Find the length of AB, given that be is a median of the triangle and AC = 30.

Mathematics

1 answer:

RSB [31]1 year ago

6 0

SOLUTION

Draw the diagram

a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side.

Hence

$|DB|\text{ bisect |AC|}$

SInce AC=30, Then

$\begin{gathered} AB=15,\text{ CB= 15} \\ \text{Hence} \\ |AB|=15 \end{gathered}$

Thus, from the median properties of a triangle, AB = 15

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An angles vertex is located at (0,0) and the initial ray of the angle points in the 3 oclock direction. Let theta represent the

MrRa [10]

your question is incomplete, here you can find the complete question below:

An angles vertex is located at (0,0) and the initial ray of the angle points in the 3 oclock direction. Let theta represent the varying radian measure of the angle.

a. if the terminal ray of the angle passes through the point(3.38,2.32), whta is the slope of the terminal ray of the angle?

b. if the terminal ray of the angle passes through the point(1.49,3.82), whta is the slope of the terminal ray of the angle?

c. if the terminal ray of the angle passes through the point(1.1,3.95), what is the slope of the terminal ray of the angle?

Answer:

a. 1.45

b. 2.56

c. 3.59

Step-by-step explanation:

As we know that formula to find the slope is change in y-coordinates divided by change in x-coordinates.

$slope=\frac{chnage\ in\ y}{chnage\ in\ x}=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

It is given that initial point is (x1,y1)=(0,0)

Part(a)

initial point is (x1,y1)=(0,0)

terminal point is (x2,y2)=(3.38,2.32)

so the slope of the terminal ray is

$slope=\frac{3.38-0}{2.32-0}=\frac{3.38}{2.32}= 1.45$

Part(b)

initial point is (x1,y1)=(0,0)

terminal point is (x2,y2)=(1.49,3.82)

so the slope of the terminal ray is

$slope=\frac{3.82-0}{1.49-0}=\frac{3.82}{1.49}=2.56$

Part(c)

initial point is (x1,y1)=(0,0)

terminal point is (x2,y2)=(1.1,3.95)

so the slope of the terminal ray is

$slpoe=\frac{3.95-0}{1.1-0}=\frac{3.95}{1.1}= 3.59$

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Maksim231197 [3]

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2 years ago

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nika2105 [10]

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3 years ago

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icang [17]

Answer:

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3 years ago

What is the volume of the prism with a base of 6 height of 5 and lenght of 10

Tanzania [10]

$\sf Hello!$

$\sf Dimensions\: of \:the \:Prism$ :

• $\sf Base,\: b = 6$
• $\sf Height, \:h = 5$
• $\sf Height, \:H = 10$

$\sf Then,$

$\sf Volume \:of \:Prism$ :

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= $\sf 150$

$\sf Hence,$
$\sf The\: volume\: of \: the\: prism\: is \:150\: cubic\: units.$

~ $\sf iCarl$

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3 years ago