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MAVERICK [17]
2 years ago
14

Find the area of triangle ABC and the area of XYZ. AABC - AXYZ.

Mathematics
1 answer:
beks73 [17]2 years ago
8 0

Answer:

ABC= 60 XYZ=540

Step-by-step explanation:

The area of a triangle is 1/2*base*height so for ABC we need to find the height first. To do this we use pythag theorem, and create the equation 13^2=5^2+height^2 rearranging this we can figure out that sqrt(height)=13^2-5^2. For the base we do 2*5 since there are two congruent line segments both equal to 5. Using this we can do 1/2*12*10=area of ABC

For XYZ we can do 1/2*30*36=area of XYZ, we can do 2*15 since there are 2 congruent 15 length line segments at the base.

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Each year for 4 years, a farmer increased the number of trees in a certain orchard by of the number of trees in the orchard the
Neko [114]

Answer:

The number of trees at the begging of the 4-year period was 2560.

Step-by-step explanation:

Let’s say that x is number of trees at the begging of the first year, we know that for four years the number of trees were incised by 1/4 of the number of trees of the preceding year, so at the end of the first year the number of trees wasx+\frac{1}{4} x=\frac{5}{4} x, and for the next three years we have that

                             Start                                          End

Second year     \frac{5}{4}x --------------   \frac{5}{4}x+\frac{1}{4}(\frac{5}{4}x) =\frac{5}{4}x+ \frac{5}{16}x=\frac{25}{16}x=(\frac{5}{4} )^{2}x

Third year    (\frac{5}{4} )^{2}x-------------(\frac{5}{4})^{2}x+\frac{1}{4}((\frac{5}{4})^{2}x) =(\frac{5}{4})^{2}x+\frac{5^{2} }{4^{3} } x=(\frac{5}{4})^{3}x

Fourth year (\frac{5}{4})^{3}x--------------(\frac{5}{4})^{3}x+\frac{1}{4}((\frac{5}{4})^{3}x) =(\frac{5}{4})^{3}x+\frac{5^{3} }{4^{4} } x=(\frac{5}{4})^{4}x.

So  the formula to calculate the number of trees in the fourth year  is  

(\frac{5}{4} )^{4} x, we know that all of the trees thrived and there were 6250 at the end of 4 year period, then  

6250=(\frac{5}{4} )^{4}x⇒x=\frac{6250*4^{4} }{5^{4} }= \frac{10*5^{4}*4^{4} }{5^{4} }=2560.

Therefore the number of trees at the begging of the 4-year period was 2560.  

7 0
3 years ago
What is the answer so i can pass
Lelechka [254]

Answer:

8/100 is equivalent to 0.08

Step-by-step explanation:

The second digit place to the right of the decimal point is the hundredths place, so that is where the 8 belongs because it is 8/100 in fraction form.

Hope this helped :)

6 0
2 years ago
Pleasee can you give me the answer and explain how to do it for the future because I’ve been seeing this all day and I don’t kno
netineya [11]

Answer:

C . y(18x-9w-12) ..............

4 0
3 years ago
the hypotenuse of a right triangle is 3 cm and one of the legs is 1 cm what is the length of the other leg ?
Afina-wow [57]

Answer:

2\sqrt{2}

Step-by-step explanation:

let the other leg be x

Using Pythagoras' identity

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 1² = 3²

x² + 1 = 9 ( subtract 1 from both sides )

x² = 8 ( take the square root of both sides )

x = \sqrt{8}

  = \sqrt{4(2)}

  = \sqrt{4} × \sqrt{2} = 2\sqrt{2} ← exact value

4 0
2 years ago
What is 3584858568 x 568495938583​
Ghella [55]

Answer:2.0379775363024693e+21

Step-by-step explanation:

8 0
3 years ago
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