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olasank [31]
3 years ago
8

Find an equation of the line that contains the point (1,-2) and is perpendicular to the line x=3y=6

Mathematics
1 answer:
KatRina [158]3 years ago
7 0
Y would equal 2
x would equal 6
In other words it is (6,2)
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Find the missing side lengths. Leave your answers as radicals in simplest form.
steposvetlana [31]

The length of missing sides x = 5 units and y = 5 units.

<h3>What is Trigonometric ratios?</h3><h3>The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).</h3>

In ΔABC,

AB (Base) = y  ,      BC(Hypotenuse) = 5\sqrt{2}   ,       CA (perpendicular) = x

and ∠ABC = 45^0

Now,

tan 45^0  = perp. / base

1 = x /y

x= y .................(i)

again,

sin 45^0 = perp. / Hypo.

\frac{1}{\sqrt{2} } = \frac{x}{5\sqrt{2} }

x = 5

put in equation (i), we get

y = 5

Thus, the length of missing side of the given triangle is x = 5 units and y =  5 units.

Learn more about trigonometric ratios from :

brainly.com/question/1201366

#SPJ1

6 0
2 years ago
Miley’s music has a sale on music CDs. All music CDs are discounted 15%. Mariana’s receipt indicates that she saved $3 on her CD
Tcecarenko [31]

she saved $3, and we know the discount is 15%, so her savings is that 15%, thus we know 15% of that purchase is 3.


let's say the full price is x, and therefore the 100%, if we know 3 is the 15%, what is x?


\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 3&15\\ x&100 \end{array}\implies \cfrac{3}{x}=\cfrac{15}{100}\implies \cfrac{3\cdot 100}{15}=x\implies 20=x

7 0
3 years ago
(d) Mr. Dewalt suggested contacting a travel agent to see whether they could get a lower price. The agent found a price that was
Paha777 [63]
Change the 30% into a decimal
so its .3
then multiply 2075/.3
and you get $622.50
8 0
4 years ago
The circumference of a circle is 28π inches. What is the length of the radius of this circle?
devlian [24]

Answer:

The radius of the circle is 14 inches.

Step-by-step explanation:

How is the circumference of a circle related to its radius?

\displaystyle \text{Circumference} = \pi\times \text{Diameter} = \pi\;(2\times \text{Radius}).

In brief,

\text{Circumference} = 2\pi\times \text{Radius}.

For this question,

  • \text{Circumference} = 28\pi, and
  • \text{Radius} needs to be found.

Divide both sides of the equation by 2\pi:

\displaystyle \frac{\text{Circumference}}{2\pi} = \text{Radius}.

\displaystyle \text{Radius} = \frac{\text{Circumference}}{2\pi} = \frac{28\pi}{2\pi} = 14.

In other words, the radius of this circle is 14 inches.

6 0
4 years ago
Read 2 more answers
What is the slope of the line that passes through the points (4, 7) and (5,8)?
slava [35]

Answer:

1

Step-by-step explanation:

Use the coordinates of the points to determine the slope

slope = Δy/Δx = (8-7)/(5-4) = 1

8 0
3 years ago
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