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Anestetic [448]
3 years ago
15

The angle measures in a triangle are in the ratio 1:3:5. The longest side of the triangle measures 5 inches. What is the approxi

mate perimeter of the triangle?

Mathematics
2 answers:
Finger [1]3 years ago
7 0

Answer:

C

Step-by-step explanation:

Lelechka [254]3 years ago
6 0
X + 3x + 5x = 180
9x = 180
x = 20
So the angles are
20
60 and
100

Let's say longest side is c, its length is 5 and it is opposite angle C.

Using the Law of Sines: http://www.1728.org/trigtut2.htm

c / sin(C) = b / sin (B)
5 / sin (100) = b / sin (60)
5 * sin (60) / sin(100) = side b
5 * 0.86603 / 0.98481 = side b
4.33015 /<span> 0.98481 = side b
side b = </span> <span> <span> <span> 4.3969395112 </span> </span> </span>

<span>Using the Law of Sines Again:
</span><span>c / sin(C) = a / sin (A)
5 / sin (100) = a / sin (20)
5 / </span>0.98481 = a / 0.39073
5 * 0.34202 / 0.98481 = side a
1.7101  <span> <span> <span> </span></span></span>/ .98481 = side a
<span>side a = </span> <span> <span> <span> 1.736477087 </span> </span> </span>

SO, perimeter =
5  (side c) plus
<span> <span> 4.3969395112 </span> (side b) plus
</span><span><span><span>1.736477087 (side a)</span> </span>

</span>
<span> <span> <span> 11.1334165982 </span> </span> </span> TOTAL
<span><span> 
</span></span>

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Phoenix [80]

Answer:

The weight of the object is 3 kg.

Step-by-step explanation:

<u>Step 1: </u>

Let object weight be x kg.

Now, as per the available data,

3/4 kg + 3/4 (x kg) = x kg

<u>Step 2: </u>

3/4 (1 + x) = x

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1 = x (4/3 - 1)

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<u>Step 3: </u>

Let's check if this value satisfies the first equation.

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3 years ago
Find two positive numbers satisfying the given requirements.
Umnica [9.8K]

Answer:

8 and 19

Step-by-step explanation:

To some this, let's first list all the factors of 152. They are;

1, 2, 4, 8, 19, 38, 76, 152.

Now, let's arrange them to reflect being multiplied to get 152.

Thus;

1 × 152 = 152

2 × 76 = 152

4 × 38 = 152

8 × 19 = 152

Also, let's do the same for their sum;

1 + 152 = 153

2 + 76 = 78

4 + 38 = 42

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murzikaleks [220]

Answer:

\begin{cases}y=-5x+1\\y=5x-4 \end{cases}

Step-by-step explanation:

Slope-intercept form of a <u>linear equation</u>:

\boxed{y=mx+b}

where:

  • m is the slope.
  • b is the y-intercept (where the line crosses the y-axis).

<u>Slope formula</u>

\boxed{\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}}

<u>Equation 1</u>

<u />

Define two points on the line:

  • \textsf{Let }(x_1,y_1)=(-1, 6)
  • \textsf{Let }(x_2,y_2)=(0, 1)

<u>Substitute</u> the defined points into the slope formula:

\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{1-6}{0-(-1)}=-5

From inspection of the graph, the line crosses the y-axis at y = 1 and so the y-intercept is 1.

Substitute the found slope and y-intercept into the slope-intercept formula to create an equation for the line:

y=-5x+1

<u>Equation 2</u>

<u />

Define two points on the line:

  • \textsf{Let }(x_1,y_1)=(1, 1)
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<u>Substitute</u> the defined points into the slope formula:

\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-4-1}{0-1}=5

From inspection of the graph, the line crosses the y-axis at y = -4 and so the y-intercept is -4.

Substitute the found slope and y-intercept into the slope-intercept formula to create an equation for the line:

y=5x-4

<u>Conclusion</u>

Therefore, the system of linear equations shown by the graph is:

\begin{cases}y=-5x+1\\y=5x-4 \end{cases}

Learn more about systems of linear equations here:

brainly.com/question/28164947

brainly.com/question/28093918

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