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spin [16.1K]
3 years ago
8

The lengths of the sides of a triangle are 8, 15, and 17. if the longest side of a similar triangle is 51, what is the length of

the shortest side?
Mathematics
1 answer:
Vlad1618 [11]3 years ago
5 0
If the longest side on the similar triangle is 51 and the longest side of the first triangle is 17, then you divide 51 and 17.

51 / 17 = 3

So the similar triangle is 3 times as big.
To find the shortest side of the similar triangle, you multiply 8 and 3.

8 * 3 = 24

The length of the shortest side of the similar triangle is 24.

Hope this helps!
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What is the measure of angle A in the triangle?
musickatia [10]

Answer:

A = 50

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees

A+B+C =180

2x-10 + 70 + x+30 = 180

Combine like terms

3x +90 = 180

Subtract 90 from each side

3x +90-90 = 180-90

3x= 90

Divide each side by 3

3x/3=90/3

x =30

We want to find A

A =2x-10

   = 2*30 -10

   =60-10

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4 years ago
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Find the value of tan30+cot30+sin60​
Aliun [14]

Hello!

This is a problem about relating values of the Unit Circle.

First, we need to figure out the specific "points" of each angle measure of 30 and 60.

For the angle measure 30, the point will be (\frac{\sqrt{3}}{2},\frac{1}{2}).

For the angle measure 60, the point will be (\frac{1}{2},\frac{\sqrt{3}}{2}).

The tangent value of a point will be its y value over its x value.

\frac{\frac{1}{2}}{\frac{\sqrt{3}}{2}}=\frac{1}{2}*\frac{2}{\sqrt{3}}=\frac{1}{\sqrt{3}}=\frac{\sqrt{3}}{3}

The cotangent value of a point will be the reciprocal of the tangent value, which we found previously.

\frac{3}{\sqrt{3}}=\frac{3\sqrt{3}}{3}=\sqrt{3}

The sine value of a point will be the y value of the point.

\frac{\sqrt{3}}{2}

So the values we have so far are \frac{\sqrt{3}}{3}+\sqrt{3}+\frac{\sqrt{3}}{2}

Now we have to find the LCD to add these together, which in this case would be 6.

\frac{2\sqrt{3}}{6}+\frac{6\sqrt{3}}{6}+\frac{3\sqrt{3}}{6}

Which adds up to \frac{11\sqrt{3}}{6}, which is in simplest radical form.

Hope this helps!

8 0
3 years ago
a county has an area of 215 square miles if the population density is 34.5 people per square mile what is the population
miskamm [114]
7417.5 is the total amount of people in that country 
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3 years ago
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Find the shaded area
xxMikexx [17]

Answer:

88.85 Sq m

Step-by-step explanation:

For rectangle:

Length = 18 - 7.8 = 10.2 m

Width = 7.8 m

For both semicircular arcs:

Radius (r) = 7.8/2 = 3.9 m

Area of the shaded region = Area of rectangle + 2*Area of a semicircle - Area of circle with radius 3.5 m

= lb + 2 \times  \frac{1}{2} \pi  \times {(3.9)}^{2}  - \pi  \times {(3.5)}^{2}  \\  \\  = 10.2 \times 7.8 + \pi \{{(3.9)}^{2}  - (3.5)^{2}  \} \\  \\  = 79.56 + \pi {(3.9 + 3.5)} (3.9 - 3.5) \\  \\ = 79.56 + 3.14 \times  7.4 \times  0.4 \\  \\ = 79.56 + 9.2944 \\  \\  = 88.8544 \\  \\   \approx 88.85 \:  {m}^{2}

3 0
3 years ago
What did the teacher say to the vampire when he failed his math test?
tino4ka555 [31]
Blaaaa you die.
Honestly I have no idea
6 0
3 years ago
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