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2 years ago

The size of the largest angle in a triangle is 4 times the size of the smallest angle.

Mathematics

1 answer:

Alecsey [184]2 years ago

8 0

Answer: 23°, 65° and 92°

Step-by-step explanation:

a + b + c = 180 (The angles of a triangle equals to 180)

a = 4c (the largest angle is 4 times the smallest angle)

b = 4c - 27 (the final angle is 27 less than the largest angle)

c = c

Now that we have gotten the values for the variables in our equation, we plug them in:

4c + 4c - 27 + c = 180

Combine like terms:

4c + 4c + c - 27 = 180

9c - 27 = 180

9c = 180 + 27

9c = 207

Divide both side by 9

c = 23

a= 4c

a = 4 × 23

a = 92

b = 4c - 27

b = 92 - 27

b = 65

Check:

a + b + c = 180

92 + 65 + 23 = 180

180 = 180

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Geometry area question. Please help!

timurjin [86]

You can calculate polygon area with only apothem OR side length.

apothem only
area = apothem^2 * 6 * tan (180/6)
area = 10.4^2 * 6 * 0.57735
area = 108.16 * 3.4641 
area = 374.677056 square yards

side length only
area = 6 * 12^2 * / 4*tan(30)
area = 864 / 4 * 0.57735
area = 864 / 2.3094 
area = 374.1231488698 square yards

If apothem and side length were given with more precision, the answers would be closer.

Source:
http://www.1728.org/polygon.htm

5 0

2 years ago

PLEASE HELP. Will give brainliest to whomever answers first.

aniked [119]

Answer:

2π/3 I believe !

Step-by-step explanation:

6 0

2 years ago

A trapezoidal window is 8 feet tall and has base lengths of 1 foot and 7 feet. What is the area of the window? The area of the w

Ahat [919]

Answer: 32 ft²

Step-by-step explanation:

The area of a trapezoid is calculable using the formula:

= (a + b)/ 2 * height

Where a and b are the base lengths.

= (1 + 7) / 2 * 8

= 8/2 * 8

= 4 * 8

= 32 ft²

8 0

2 years ago

The table below represents a linear function f(x) and the equation represents a function g(x):

Masja [62]

Answer:

what is linear

Step-by-step explanation:

8 0

3 years ago

Below are the jersey numbers of 11 players randomly selected from a football team. Find the range, variance, and standard devia

jeyben [28]

Answer:

The range is 77.

The variance is 739.8.

The standard deviation is 27.2.

Step-by-step explanation:

The data provided, in ascending order is as follows:

S = {11 , 14 , 23 , 31 , 40 , 60 , 63 , 68 , 75 , 77 , 88}

The range of a data set is the difference between the maximum and minimum values.

From the above data set we know,

Maximum = 88

Minimum = 11

Compute the range as follows:

Range = Maximum - Minimum

= 88 - 11

= 77

The range is 77.

Compute the mean of the data as follows:

$\bar x=\frac{1}{n}\sum x_{i}=\frac{1}{11}\times [11+14+23+...+88]=50$

Compute the variance as follows:

$\sigma^{2}=\frac{1}{n-1}\sum (x_{i}-\bar x})^{2}$

$=\frac{1}{11-1}\times [(11-50)^{2}+(14-50)^{2}+...+(88-50)^{2}]\\\\=\frac{1}{10}\times 7398\\\\=739.8$

The variance is 739.8.

Compute the standard deviation as follows:

$\sigma=\sqrt{\frac{1}{n-1}\sum (x_{i}-\bar x})^{2}}=\sqrt{739.8}=27.199265\approx 27.2$

The standard deviation is 27.2.

4 0

2 years ago