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bija089 [108]
3 years ago
10

Help find the missing lengths round to nearest tenth

Mathematics
1 answer:
Mama L [17]3 years ago
6 0

Answer:

<h2>x = 20.8</h2><h2>y = 22.3</h2>

Step-by-step explanation:

  • Theta is 21 degrees
  • x is the adjacent side
  • 8 is the opposite side
  • y is the hypothenuse

SOH - CAH - TOA

Since the opposite side is given and we need to find the length of the adjacent side, we can use tangent to solve for x.

tan 21=\frac{opposite}{adjacent} \\tan 21 =\frac{8}{x} \\0.384 =\frac{8}{x} \\0.384x =8 \\x=\frac{8}{0.384} \\x=20.84

Since the opposite side is given and we need to find the length of the hypotenuse, we can use sine to solve for y.

sin 21=\frac{opposite}{hypotenuse} \\sin21 =\frac{8}{y} \\0.358 =\frac{8}{y} \\0.358y=8 \\y=\frac{8}{0.358} \\y=22.32

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Write the linear equation in slope intercept form 1,3 and -3,-5
oksian1 [2.3K]

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

We have two points through which the line passes:

(x_ {1}, y_ {1}) :( 1,3)\\(x_ {2}, y_ {2}): (- 3, -5)

We found the slope:

m = \frac{y_ {2} -y_ {1}} {x_ {2} -x_ {1}}

Substituting we have:

m = \frac {-5-3} {- 3-1} = \frac {-8} {- 4} = 2

Thus, the equation is of the form:

y = 2x + b

We substitute one of the points and find the cut-off point:

3 = 2 (1) + b\\3 = 2 + b\\3-2 = b\\b = 1

Finally, the equation is:

y = 2x + 1

ANswer:

y = 2x + 1

3 0
3 years ago
What is the equation of the points (-3,2) (2,-1) in standard form? 
Evgen [1.6K]
You can just plug in one of the points to each equation until you get an equality that is true.

I chose to use (-3,2)

1. 5x+3y=1
5(-3)+3(2)=1
(-15)+ 6 = 1
(-9) = 1 <<<(FALSE)

2. x+5y=3
(-3)+5(2)= 3
(-3)+10= 3
7=3 <<<(FALSE)

3. 3x+5y=1
3(-3) + 5(2)= 1
(-9)+10=1
1=1<<<(TRUE)

So, the correct equation is 3x+5y=1.

Make sense?
3 0
3 years ago
What is the simplified from of 4x^2-25 over 2x-5?
stealth61 [152]
We can factor <span>4x^2-25 into (2x +5) * (2x -5) and
dividing by (2x -5)
yields (2x +5)

That neatened up pretty nicely.</span>
3 0
3 years ago
Find the pattern for sequence 5,10,20,40
vlabodo [156]

Answer:

Everything is x2 itself.

Step-by-step explanation:

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4 0
3 years ago
Read 2 more answers
Which equation shows y=−12x+4 is in standard form? 2x + y = 8 2x−y=8 x + 2y = 8 x+2y=−8
drek231 [11]

Answer:

<h2>x + 2y = 8</h2>

Step-by-step explanation:

The standard form of an equation of a line:

Ax+By=C

We have:

y=-\dfrac{1}{2}x+4

Convert:

y=-\dfrac{1}{2}x+4            <em>multiply both sides by 2</em>

2y=-x+8               <em>add x to both sides</em>

x+2y=8

3 0
3 years ago
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