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Leya [2.2K]
3 years ago
10

How do you solve for the Rations of Special Triangles? This is confusing

Mathematics
1 answer:
Bogdan [553]3 years ago
6 0

Answer:

The answer to your question is  x = \frac{3\sqrt{2}}{2}

Step-by-step explanation:

Data

right triangle

x = ?

hypotenuse = 3

To solve this problem use trigonometric functions. The trigonometric function that relates the opposite side and the hypotenuse is sine.

            sin Ф = Opposite side / hypotenuse

-Solve for Opposite side (x)

            x = hypotenuse  sin 45

-Substitution

 sin 45 = \frac{\sqrt{2}}{2}

            x = 3\frac{\sqrt{2}}{2}

-Solution

            x = \frac{3\sqrt{2}}{2}  It is not possible to simplify any more.

           

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The Magic Carpet charges $35 for installation and $0.25 per square yard of carpeting. The Carpeteria’s installation price is $27
lyudmila [28]
Answer: 62.25 times $0.40. hope it helps :)
7 0
3 years ago
Read 2 more answers
Can someone help me Determine the intercepts of the line.
slavikrds [6]
Greetings!

To find the y-intercept, we can arrange the equation in slope y-intercept form:
y=mx+b

Rearrange:
y+1=3(x-4)

y+1=3x-12

y=3x-13

The y-intercept is: -13 
\boxed{(0,-13)}

To find the x-intercept, we can input the value <<0>> in the place of y, as every x-intercept only occurs when y=0:
(0)=3x-13

Solve for x:
0=3x-13

13=3x

\frac{13}{3}= \frac{3x}{3}

x=\frac{13}{3}

The x-intercept is: \frac{13}{3}
\boxed{(\frac{13}{3},0)}

I hope this helped!
-Benjamin






5 0
3 years ago
Can someone plz help me on dis
julia-pushkina [17]

Answer:

6cm squared

Step-by-step explanation:

1 x 2 = 2 cm

2 x 3 = 6 cm

6 cm squared

4 0
3 years ago
What is the sum of the first 10 terms in this geometric sequence? 3,-6,12,-24
lana [24]
<span>3,-6,12,-24,48,-96,192,-384,768,-1536

sum:
</span>3 -6+12 -24+ 48 -96+ 192 -384+ 768 -1536 = -1023

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4 0
4 years ago
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Solve the system of equations for x and y.<br> y = x + 5<br> y = 2x + 2
DIA [1.3K]
Answer (x,y) (3, -2)

Explanation:
using the
substitution method
y
=
x
−
5
→
(
1
)
y
=
−
2
x
+
4
→
(
2
)
since both equations are expressed in terms of x we

can equate them
⇒
x
−
5
=
−
2
x
+
4
add 2x to both sides
2
x
+
x
−
5
=
−
2
x
+
2
x
+
4
⇒
3
x
−
5
=
4
add 5 from both sides
3
x
+
5
−
5
=
4
+
5
⇒
3
x
=
9
divide both sides by 3
3
x
3
=
9
3
⇒
x
=
3
substitute this value in
(
1
)
y
=
3
−
5
=
−
2
As a check
substitute these values into
(
2
)
right
=
−
6
+
4
=
−
2
=
left
⇒
point of intersection
=
(
3
,
−
2
)
3 0
3 years ago
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