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____ [38]
3 years ago
6

Help as soon as possible

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
7 0
In the first triangle on the left - Example 1 is the same -- draw the line identical to it

Middle triangle is the same as Example 2 -- the left side is the altitude and the base is the bottom segment

The third triangle altitude is drawn from the bottom right point to the midpoint of the longest side -- make sure your altitude is perpendicular to the longest side so you have a right angle at the intersect. 

Formula is: 1/2 (base) x (height)   (height is the same as altitude)
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What is the sum of the lengths, in centimeters, of the two legs of a 30-60-90 right triangle, if the length of the hypotenuse is
Nesterboy [21]

The sum of the lengths of two legs of the 30°-60°-90° right triangle is 6.69 centimeters. Using the ratio of sides for the 30°-60°-90° triangle, the sum is calculated.

<h3>What is the ratio of sides for the 30°-60°-90° triangle?</h3>

The ratio for the 30°-60°-90° triangle is 1:√3:2 or x:x√3:2x

where x corresponds to the length opposite the 30° angle and x√3 is opposite of the 60° angle and 2x is opposite to the 90° angle.

<h3 /><h3>Calculation:</h3>

It is given that the triangle is a right triangle with angles 30°-60°-90°

For such a triangle, the ratio of side lengths is x: x\sqrt{3}:2x

we have the length of the hypotenuse is 2\sqrt{6}

So, 2x = 2\sqrt{6}

⇒ x = \sqrt{6}

So,

the other length of the other leg is x√3 = √6 × √3 = 3 √2

Then, the sum of these two legs = √6 + 3√2 = 6.69 centimeters.

Learn more about the ratio of sides of a 30°-60°-90° triangle here:

brainly.com/question/6695000

#SPJ4

6 0
2 years ago
The Perimeter of a Pentagon is 20.5 centimeters. Four sides of this pentagon have the same length, in centimeters, x, and the ot
RideAnS [48]

Answer:

4.6\ \text{cm}

Step-by-step explanation:

Perimeter of the pentagon = 20.5 cm

Length of 4 sides = x

Length of the other side = 2.1 cm

Perimeter of the pentagon will be

x+x+x+x+2.1=20.5\\\Rightarrow 4x+2.1=20.5\\\Rightarrow 4x=20.5-2.1\\\Rightarrow 4x=18.4\\\Rightarrow x=\dfrac{18.4}{4}\\\Rightarrow x=4.6\ \text{cm}

The value of x is 4.6\ \text{cm}.

3 0
3 years ago
Elijah created the scatterplot to show the relationship between the temperature in degrees Fahrenheit and the number of visitors
rosijanka [135]
I would choose A. the reason for that is in the image above is showing that as the temp. is rising the visitors are decreasing 
4 0
4 years ago
Read 2 more answers
Evaluate for |xy - x| <br><br> x=-3 and y=4
podryga [215]

Answer:

15

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
The sum of an arithmetic progression A.P.
amid [387]

Answer:

S8 = 112

Step-by-step explanation:.​

The question is incomplete

Assuming we are given the following

First term a =7

number of terms n = 8.

Common difference d=2

We can find the sum of the first 8terms S8

Substitute the given values

S8 = 8/2[2(7)+(8-1)(2)]

S8 =4(14+7(2))

S8=4(14+14)

S8 = 4(28)

S8 = 112

Hence the sum of the first 8terms is 112

Note that the values are assumed values

6 0
3 years ago
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