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3 years ago

Find the missing side lengths. Leave your answer as radicals in simplest form.

Mathematics

1 answer:

nika2105 [10]3 years ago

7 0

$\sqrt{2$ Answer:

Step-by-step explanation:

take 45 degree as reference angle

use sin rule

sin 45=opposite/hypotenuse

1/ $\sqrt{2$ =x/2 $\sqrt{2$

do cross multiplication

x $\sqrt{2$ = $\sqrt{2$ * $\sqrt{2$

x $\sqrt{2$ =2

x=2/ $\sqrt{2$

x= $\sqrt{2$

pythagoras theorem

a^2+b^2=c^2

( $\sqrt{2$ )^2+y^2=(2 $\sqrt{2$ )^2

2+y^2=8

y^2=8-2

y= $\sqrt{6$

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when two trucks traveling in different directions approach each an intersection at the same time , on of the trucks must change

torisob [31]

This happens because the trucks move in one-dimension, while the airplanes move in 3 dimensions.

<h3></h3><h3>Why the trucks need to change direction or speed while the airplanes don't?</h3>

Well, the trucks move along a street. Thus, we can think that this is an one-dimensional kind of motion.

Where the trucks can go forward, backward, or get out of the line.

In the case of the airplanes, they can move actually in 3 dimensions (the airplane can go upwards, downwards, left, right, etc).

Now, in the one-dimensional case of the trucks there are only two directions (which are opposite) so if the trucks travel in different directions, then the trucks travel into each other, which would cause the collision.

While in the case of the airplanes more directions exists, so there isn't (necessarily) a collision.

If you want to learn more about motion:

brainly.com/question/26048315

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4 0

2 years ago

What is the equation of the line that is perpendicular to the line through (1,-4) and (-2,2) and passes through the x-intercept

ss7ja [257]

Answer:

y=- $\frac{1}{2}$ x+ $\frac{3}{2}$

Step-by-step explanation:

First, calculate the slope of the line that is perpendicular to the equation of line we are asked to find

m=(y2-y1)/(x2-x1)

=(2-(-4))/(-2-1)

=6/-3

=-2

in this equation the slope is 2, and to find the first equation, use y=mx+b

use the point (1, -4) to find b

-4=(2)(1)+b

-4=2+b

b=-6

the first equation of the line is y=2x-6

to find the x intercept of that line substitute 0 for y

0=2x-6

2x=6

x=3

the slope of a line perpendicular to this would be the opposite reciprocal of the slope which would be equal to -1/2

for the second equation of the line to pass thorugh the x-intercept of the first line, it must pass through (3, 0), so substitute and solve for b

y=mx+b

0=(-1/2)(3)+b

b=3/2

thus the equation of the line that is perpendicular to the line through (1,-4) and (-2, 2) and passes through the x intercept of that line is y=- $\frac{1}{2}$ x+3/2

8 0

3 years ago

Cole has 5 times as many pencils as

Nataly [62]

Answer:

Cole has 15 pencils.

Step-by-step explanation:

First, we have the equation c + o =18, c representing cole, and o representing connor.

From there, we get 5o=c

Using substitiution, we get o=3

5(3)=15

15+3=18

8 0

2 years ago

Which terms are properties of mathematical proofs?

steposvetlana [31]

Did you ever find the answer?

8 0

3 years ago

Ryan took out a 66 month loan to pay for a 28500 car.if he paid 33829.50,in total at the end of the loan,find the interest rate

professor190 [17]

9514 1404 393

Answer:

3.4%

Step-by-step explanation:

The total amount due is ...

A = P(1 +rt/12) . . . . . principal P, annual rate r, t months

33829.50 = 28500(1 +66/12r)

1.187 = 1 +5.5r . . . . . divide by 28500, simplify

0.185/5.5 = r = 0.034 = 3.4%

The interest rate on the loan is 3.4%.

3 0

3 years ago