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Setler [38]
2 years ago
10

9. Find the missing lengths of the sides.

Mathematics
1 answer:
antiseptic1488 [7]2 years ago
5 0

Answer:

x = 8

y = 8\sqrt{2}

Step-by-step explanation:

This is a special right triangle with angle measures 45-45-90

The side lengths for this triangle are as follows

a (the side lengths that see angle measure 45)

a\sqrt{2} (the side length that sees angle measure 90)

one of the side length which sees angle measure 45 is given as 8

so a = 8 as well as x = 8

therefore y = 8\sqrt{2}

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The local bike shop sells a bike and accessories package for $276. If the bike is worth 5 times more than the accessories, how m
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$1380 is the price of the bike, because $276 multiplied by 5 is $1380
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3 years ago
An angle that measures 48° is called
zvonat [6]
Any angle that measures less than 90 degree is known as "Acute angle"

In short, Your Answer would be: "Acute Angle"

Hope this helps!
3 0
3 years ago
Read 2 more answers
Sin(60-theta)sin(60+theta)​
ehidna [41]

Step-by-step explanation:

\sin(60 -  \theta)  \sin(60 +  \theta)  \\  =  \{ \sin(60)  \cos( \theta)  -  \sin( \theta)   \cos(60)  \} \{ \sin(60)  \cos( \theta)  +  \cos(60)  \sin( \theta)  \} \\  =  \{ \frac{ \sqrt{3} }{2}  \cos( \theta)  -  \frac{1}{2}  \sin( \theta)  \} \{ \frac{ \sqrt{3} }{2}  \cos( \theta)  +  \frac{1}{2}  \sin( \theta)  \} \\  \\

from difference of two squares:

{ \boxed{(a - b)(a + b) = ( {a}^{2} -  {b}^{2} ) }}

therefore:

=  \{ {( \frac{ \sqrt{3} }{2}) }^{2}  { \cos }^{2}  \theta \} -  \{ {( \frac{ \sqrt{3} }{2} )}^{2}  { \sin }^{2}  \theta \} \\  \\  =  \frac{3}{4}  { \cos }^{2}  \theta -  \frac{3}{4}  { \sin}^{2}  \theta

factorise out ¾ :

=  \frac{3}{4} ( { \cos }^{2}  \theta  -  { \sin}^{2}   \theta) \\  \\  = { \boxed{ \frac{3}{4}  \cos(2 \theta) }}

3 0
3 years ago
Read 2 more answers
What is the equation of the function that is graphed as line a?
valentinak56 [21]
F(x)=-1x-1

1)  Pick 2 points on the line (i chose (-4,3) and (3,-4)
2) Find slope of the line using the 2 points. (work below)
3) Find y-intercept, which is the point where y-axis and the line cross (y-intercept is -1).
4) Place both slope and y-intercept into slope-intercept form, y=mx+b (m=slope and b=y-intercept.)
5) Change y to f(x) (meaning function of x).

Work:
3-(-4)/-4-3=3+4/-4-3=7/-7=-1

y-intercept equals -1 also.

y=mx+b
y=-1x+(-1)
y=-1x-1
f(x)=-1x-1<---Answer

6 0
4 years ago
Solve each equation for the bold variable​
Phantasy [73]

Answer:

y = 3 - 2x

Step-by-step explanation:

The goal is to isolate the y variable

In order to have y by itself (on one side of the equation or equal sign), we must move the other numbers and variables to the other side.

Since 2x is on the same side as y, we have to subtract it from both sides. Subtracting it cancels out the original 2x and leaves the equation to look like this:

y = 3 - 2x

Now the y is isolated

Another example:

-5x + y = 15

To isolate the y, we must cancel out the -5x. Add 5x to both sides. It will cancel out the -5x and bring it to the right side of the equation, resulting in:

y = 15 + 5x

4 0
3 years ago
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