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2 years ago

ABC and XYZ are similar triangles with right angles at B and Y. AC=13 cm,

Mathematics

2 answers:

earnstyle [38]2 years ago

5 0

Answer:

tex]Both \: the \: moon \: and \: earth \: are \: in \: \\ the \: shape \: of \: spheres. \\ Surface\: area \: of \: a \: sphere \: of \: radius \: 'r' \\ [/tex]

Let d1 be the diameter of the moon and d2 and be the diameter of the earth.Let r1 be the radius of the moon and r2 be the radius of the earth.

$given \: d1 = \frac{1}{4}d2 \\ = > 2r1 = \frac{1}{4} ×2r2 \\ =>r1 = \frac{1}{4}×r2 \\ Now, \: ratio \: of \: \: their \: surface \: areas \: is: \\ = s1: s2 \\ = r {1}^{2}: r {2}^{2} \\ = {1}^{2 } : {4}^{2 } \\ =1:16$

hope it helps you

Gemiola [76]2 years ago

5 0

Answer:

See below

Step-by-step explanation:

Since B is the right angle, AC is the opposite side - hypotenuse.

<u>Use Pythagorean and find the missing side, AB:</u>

$AB = \sqrt{AC^2-BC^2} = \sqrt{13^2-5^2} =\sqrt{144} =12cm$

There is no info given to link the triangles ABC and XYZ and hence can't provide solution to any dimension of XYZ.

<u>If the scale factor was given as k, then XZ would be:</u>

XZ = k*BC = 5k

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In a standard deck of 52 playing cards, what is the complement (not below 8)?

Damm [24]

Answer 2/13

Step-by-step explanation:

There are 52 cards in a standard deck: 13 ordinal cards (Ace -10, jack, Queen, King)and 4 of them

- one to each sute (hearts, diamonds, clubs, spades ) and so we have 4x13=52

There are 8 card that fit the question (4 each of access and kings).

so if you in a random draw the odds of drawing one of those 8 card out of the total number of 52 is 8/52

which we simplify

8/2=2/13

8 0

2 years ago

8. Write the equation of the line that is parallel to the line 2x + 5y = 15 and passes through the

marissa [1.9K]

Answer:

$\sf y = \bold -\frac{2}{5} x -3$

Explanation:

part A identification for slope:

$\sf 2x + 5y = 15$

$\sf 5y = -2x + 15$

$\sf y = \frac{-2x + 15}{5}$

$\sf y = -\frac{2 }{5} x+3$

comparing with slope intercept form: y = mx + b

we can find that here the slope is $\bold -\frac{2}{5}$

part B, solving the equation:

if the line is parallel, then the slope will be same.

given coordinates: ( - 10, 1 )

using the equation:

y - y₁ = m( x - x₁ )

$\sf y - 1 = \bold -\frac{2}{5} (x --10)$

$\sf y = \bold -\frac{2}{5} x -4 + 1$

$\sf y = \bold -\frac{2}{5} x -3$

Extra information:

check the image below. this proves that the line is parallel and passes through point (-10, 1). the blue line is question line and red the answer line.