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2 years ago

Look at triangle ABC. What is the length of side AB of the triangle? Image down below :)

Mathematics

2 answers:

adoni [48]2 years ago

7 0

The answer is the third option.

12345 [234]2 years ago

3 0

Answer:

$\sqrt{18}$

Step-by-step explanation:

you need to use Pythagoras theorem

$a^{2}$ + $b^{2}$ = $c^{2}$

c is the hypotenuse. the longest side (ab)

a and b are the other two side lengths squared (bc,ca)

the length of both a and b are 3 squares long

$3^{2}$ is 9

you add the square of both sides together to get 18 this is $c^{2}$

you need to square root that to get the answer

$\sqrt{18}$

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2 years ago

How do you work y=2x-1 <br> X=-6

Liula [17]

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2 years ago

Read 2 more answers

I need help with number 5 please.

amid [387]

The answer to number 5 is 1/4 of a foot. there are 12 inches in a foot. 12 divided by 4 is 3. So 12 inches divided by 4 sections is 3 inches in each section.

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2 years ago

Help with this please

Alik [6]

Answer:

Yes, the given parallelogram is a rectangle.

Step-by-step explanation:

The vertices of parallelogram are J(-5,0), K(1,4), L(3,1) and M(-3,-3).

The slope formula is

$m=\frac{y_2-y_1}{x_2-x_1}$

$JK=\frac{4-0}{1-(-5)}=\frac{4}{6}=\frac{2}{3}$

$KL=\frac{1-4}{3-1}=\frac{-3}{2}$

$LM=\frac{-3-1}{-3-3}=\frac{-4}{-6}=\frac{2}{3}$

$JM=\frac{-3-0}{-3-(-5)}=\frac{-3}{2}$

The slopes of opposites sides are same it means they are parallel to each other.

The product of slopes of two consecutive sides is

$\frac{2}{3}\times \frac{-3}{2}=-1$

Since the product of slopes of two consecutive sides is -1, therefore the consecutive sides are perpendicular to each other.

Yes, the given parallelogram is a rectangle.

7 0

3 years ago

A rectangular solid with a square base has a volume of 4096 cubic inches - determine the dimensions that yield the minimum surfa

Bumek [7]

Answer:

side of base, a = 10.1 inches, height, h = 40.1 inches

Step-by-step explanation:

Volume of rectangular solid, V = 4096 cubic inches

Let the side of base is a and the height is h.

$V = a^2h\\\\4096 = a^2 h ..... (1)$

surface area of the solid

$S = 2a^2 + 4 ah \\\\S = 2a^2 + 4 \times a \times \frac{4096}{a^2} from (1)\\\S = 2a^2 + \frac{4096}{a}\\\\\frac{dS}{da}= 4 a - \frac{4096}{a^2}\\\\4 a - \frac{4096}{a^2} = 0 \\\\a^3 = 1024\\\\a =10.1 inches$

So, h = 40.2 inches

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2 years ago