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2 years ago

Question 9 of 10

Mathematics

1 answer:

Travka [436]2 years ago

4 0

Answer:

D) √3 / 2

Step-by-step explanation:

Cosine is adjacent over hypotenuse.

Hope this helps! Pls give brainliest!

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How to write 3 thousand 16 tens 7 ones in standard form

kap26 [50]

<span>(3 x 1000) + (16 x 10) + (7 x 1) = 3167. In standard form, this is 3.167 x 10^3. </span>

5 0

4 years ago

The endpoints of one diagonal of a rhombus are (-7, -2) and (-1, -4). If the coordinates of the 3rd vertex are (-6, -9), what ar

podryga [215]

The coordinates of the 4th vertex of the rhombus are (-2,3)

<h3>How to determine the coordinates of the 4th vertex?</h3>

The diagonals are given as:

(-7, -2) and (-1, -4)

The 3rd vertex is given as: (-6,-9)

Calculate the distance between the vertices of the diagonals and the 3rd vertex using:

$d = \sqrt{(x_2 -x_1)^2 + (y_2 - y_1)^2}$

So, we have:

$d_1 = \sqrt{(-7 + 6)^2 + (-2 + 9)^2} =\sqrt{50$

$d_2 = \sqrt{(-1 + 6)^2 + (-4 + 9)^2} =\sqrt{50$

Let the 4th vertex be (x,y)

So, we have:

$d_3 = \sqrt{(-7 - x)^2 + (-2 - y)^2} =\sqrt{50$

$d_4 = \sqrt{(-1 - x)^2 + (-4 - y)^2} =\sqrt{50$

Equate d3 and d4

$\sqrt{(-1 - x)^2 + (-4 - y)^2} = \sqrt{(-7 - x)^2 + (-2 - y)^2}$

Take the square of both sides

$(-1 - x)^2 + (-4 - y)^2 = (-7 - x)^2 + (-2 - y)^2$

Expand

$1 + 2x + x^2 + 16 + 8y + y^2 = 49 + 14x + x^2 + 4 + 4y + y^2$

Evaluate the like terms

1 + 2x + 16 + 8y = 49 + 14x + 4 + 4y

Collect like terms

14x - 2x + 4y - 8y = 1 + 16 - 49 - 4

12x - 4y = -36

Divide through by 4

3x - y = -9

Next, we test the options in the above equation

Point (-8,13) means x = -8 and y = 13

So, we have:

3x - y = -9

3(-8) - 13 = -9

-37 = -9 --- this is false

Point (-2, 3) means x = -2 and y = 3

So, we have:

3x - y = -9

3(-2) - 3 = -9

-9 = -9 --- this is true.

Hence, the coordinates of the 4th vertex are (-2,3)

Read more about rhombus at:

brainly.com/question/20627264

#SPJ1

8 0

2 years ago

The triangles in each pair are similar. Find the similar triangle

eimsori [14]

Answer:

C. UVW

Step-by-step explanation:

5 0

3 years ago

Plz help I’m am getting timed

forsale [732]

Answer:

2/8

Step-by-step explanation:

2/8 or 1/4

5 0

3 years ago

Read 2 more answers

Graph the linear equation y = -x + 8 and y = x/3 -4 (p.s the x/3 as in x over three)

Bogdan [553]

One way is to do points, expecially x and y intercepts

first one
when x=0, then y=8
when y=0, x=8
graph the points (0,8) and (8,0)

2nd one
when x=0, y=-4
when y=0, x=12
graph the points (0,-4) and (12,0)

3 0

4 years ago