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zvonat [6]
4 years ago
9

In isosceles triangle the length of the base is twice shorter than the length of a leg. The perimeter of this triangle is 50 cm.

Find the lengths of all sides.
Mathematics
1 answer:
AleksAgata [21]4 years ago
6 0

Answer:

The base is 10cm. The other two sides are 20cm each

Step-by-step explanation:

I believe that "the base is twice shorter" means that the two equal sides of the iscosceles triangle are twice the length of the base.

Using the equation x + 2x +2x = 50 where x is the length of the base, we can simplify it to

5x=50. Then divide both sides by 5 to get the results:

x=10 for the base and

2x=20 for the other two sides.

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A triangle can contain 1 or less obtuse angles Indirect proof
son4ous [18]

Answer:

Well, if we know that an obtuse angle is an angle greater than 90 degrees, and that a triangle's angles MUST sum up to 180 degrees and contain three angles. Then it logically follows that there's no way for a triangle to have 3 angles AND have two of the three be greater than or equal to 90 degrees as the remaining angle would have to be zero degrees or some "negative angle"- which I am pretty sure doesn't exist lol! As for a proof, I think you can cook up something with what I have given you so far :)

7 0
3 years ago
Using the Classic Rock data in the Math 108 group on StatCrunch, create a histogram with the
liberstina [14]

The product of the frequency and PlayCount gives the number of songs

played from the information in the histogram.

Correct responses (rounded to the nearest whole integer)

1. 2%

2. 27 PlayCount per song

3. 68%

<h3>How does one analyze an histogram?</h3>

1. The given data from the histogram is presented in a tabular form as follows;

\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|}f&899&224&126&96&71&52&39&41&44&23&14&12&3&4&3\\x&10&20&30&40&50&60&70&80&90&100&110&120&130&140&150\end{array}\right]

The percentages of song that where played over 100 times is given as follows;

∑f = 899+224+126+96+71+52+39+41+44+23+14+12+3+4+3 = 1651

Number of songs played over 100 times = 14 + 12 + 3 + 4 + 3 = 36

  • Percentage \ of \ songs \ played \ over \ 100 \ times = \mathbf{\dfrac{36}{1,651} \times 100} \approx \underline{2 \%}

2. Mean of a frequency distribution is given as follows;

Mean = \mathbf{\dfrac{\sum f\times x}{\sum f}}

Where;

x = The PlayCount

From MS Excel, we have;

∑f·x = 44410

Which gives;

  • Mean = \dfrac{44410}{1651}   \approx \underline{27}

3. Number of songs played less than 20 times = 899 + 224 = 1,123

  • \mathbf{Percentage} \ of \ songs \ played \ less \ than \ 20 \ times = \dfrac{1,123}{1,651}  \times 100 \approx \underline{ 68 \%}

Learn more about percentages and histograms here:

brainly.com/question/10491646

brainly.com/question/1413492

6 0
2 years ago
Remove parentheses from -8(-4v *4v*4v -2+5v *5v)
Olegator [25]
 the answer is =<span><span><span>512<span>v^3</span></span>−<span>200<span>v^2</span></span></span>+<span>16</span></span>
4 0
3 years ago
A shape is made of 12 right triangles of equal size. Each right triangle has a base of 4cm and a height of 5cm. What is the tota
Natalka [10]

Answer: 120 cm²

Step-by-step explanation:

Let's start by finding the area of one triangle

The formula for finding the area of a triangle is A=\frac{hb}{2}

Where

A is the area

h is the height (5 for this)

and b is the base (4 for this)

Let's sub in our values and solve.

A=\frac{(5)(4)}{2}\\A=\frac{20}{2}\\A=10

Since there are 12 triangles in the shape we must multiply our area for one triangle by 12 to find the total area of the shape

12×10=120

6 0
2 years ago
Your DVD membership costs $16 per month for 10 DVD rentals. Each additional DVD rental is $2. a. Write an equation in two variab
Anarel [89]

Answer:

a. C(x) = $16, if 0 ≤ x ≤ 10

   C(x) = 2x - 4 if x > 10

b. Independent: Number of DVD rentals

   Dependent: Monthly cost of rentals

c. $26

Step-by-step explanation:

a. The cost (C) of renting 'x' DVDs is given by:

If 10 ≤ x ≤ 10

C(x) = $16

If  x > 10

C(x) = 16 + 2(x-10)

C(x) = 2x - 4

b. Since the cost depends on the number of DVD rentals, cost is the dependent variable and number of DVD rentals is the independent variable.

c. For x = 15:

C(15) = 2*15 - 4

C(15) = $26

It costs $26 to tent 15 DVDs in one month

5 0
3 years ago
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