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leonid [27]
3 years ago
6

a square is put together by two triangles. the hypotenuse is 11 cm and width if 8 cm. find the height of the triangle.

Mathematics
1 answer:
maksim [4K]3 years ago
3 0

Answer:

b ≈ 7.54 cm

Step-by-step explanation:

Pythagorean Theorem

a² + b² = c²

a and b are the sides and c is the hypotenuse

hypotenuse is 11 cm

a side is 8 cm

so

8² + b² = 11²

64 + b² = 121

-64           -64

       b² =  57

    √b² =  √57

       b ≈ 7.54 cm ( use ≈ because its rounded so its not exact)

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A fruit company delivers its fruit in two types of boxes: large and small. A delivery of
Tema [17]

Answer:

Small box weighs 13.75 kg & large box weighs 15.75 kg

Step-by-step explanation:

We can write 2 simultaneous equation and solve for weight of each box.

<em>Let weight of large box be l and small box be s.</em>

<em />

"<u>3 large boxes and  5 small boxes has a total weight of  116 kilograms</u>":

3l+5s=116

and

"<u>9 large boxes and  7 small boxes has a total weight of  238 kilograms</u>":

9l+7s=238

<em>Now we can solve for l in the 1st equation and put it into 2nd equation and get s:</em>

<em>3l+5s=116\\3l=116-5s\\l=\frac{116-5s}{3}</em>

<em>now,</em>

<em>9l+7s=238\\9(\frac{116-5s}{3})+7s=238\\3(116-5s)+7s=238\\348-15s+7s=238\\348-238=15s-7s\\110=8s\\s=\frac{110}{8}=13.75</em>

<em />

<em>now we plug in 13.75 into s into equation of l to find s:</em>

<em>l=\frac{116-5s}{3}\\l=\frac{116-5(13.75)}{3}\\l=15.75</em>

5 0
3 years ago
english has 26 different letters. how many consecutive words have to be selected in a book to have at least 5 that start with th
Valentin [98]

The words need not be English language words  142506

What is permutation and combination?

A set of elements can be divided into subsets in two different ways: combination and permutation.

                          The components of the subset may be arranged in any order when combined. The components of the subset are listed in a permutation in a certain order.

If the word has 5 different letters  then it is just 26-choose-5 or (26/5).

If the word has 4 different letters  then it is just 26-choose-4 or (26/4)

have 4 options to choose which letter to duplicate twice.

This gives =  4*(26/4)

If the word has 3 different letters  then it is just 26-choose-3 or (26/3).

you duplicate one of the three letters 3 times - 3 options for that, or you choose 2 letters and duplicate each one twice - again 3 options. In total this gives  = 6*(26/3).

If the word has 2 different letters  then it is just 26-choose-2 or (26/2).

The sets of 2 different letters and duplicate either one of the letters 4 times - 2 options; or duplicate one letter 2 times, and the other 3 times - again 2 options. In total this is  = 4*(26/2).

The word has just 1 distinct letter you have =  (26/1).

we get :

N = (26/5)+ 4*(26/4) + 6*(26/3) + 4*(26/2) +  (26/1)

= 142506

The words need not be English language words  = 142506

Learn more about  permutation and combination

brainly.com/question/28065038

#SPJ4

5 0
1 year ago
How many times can 1130 go into 0.37
alexira [117]
<span>3054.054054 is the answer

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7 0
3 years ago
Read 2 more answers
Simplify the problem
Natasha2012 [34]
\frac{6}{10x^2} \div  \frac{6}{10x^3-60x^2}  = \frac{6}{10x^2} \cdot  \frac{10x^3-60x^2}{6}  =\frac{1}{10x^2} \cdot  \frac{10x^2(x-6)}{1}  =x-6
5 0
2 years ago
If f(x)=4x3+3x2−5x+20 and g(x)=9x3−4x2+10x−55, what is (g−f)(x)?
Montano1993 [528]

Answer:

Step-by-step explanation:

(g-f)(x) = 9x³ - 4x² + 10x - 55 - [ 4x³ +3x² - 5x + 20]

To remove the parenthesis, take - inside, multiply f(x) by -1

= 9x³ - 4x² + 10x - 55 -  4x³ - 3x² + 5x - 20  

Now, bring like terms together,

= 9x³ - 4x³ - 4x² - 3x² + 10x + 5x - 55 - 20

= 5x³ - 7x² + 15x - 75

3 0
3 years ago
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