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AfilCa [17]
3 years ago
7

This uses pythagorean theorem

Mathematics
2 answers:
bazaltina [42]3 years ago
8 0

Answer: the answer for rafter 1 is 13.4 and the answer for rafter 2 is 20

Step-by-step explanation: I just know

Klio2033 [76]3 years ago
7 0

Step-by-step explanation:

x²=a²+b²

x=√6²+12²

x=√180

x=3√2v

y²=16²+12²

y=√400

y=20

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Help with this exercise show work please and be detailed
EastWind [94]
This hexagon is split into two congruent trapezoids. You can find the area of one trapezoid and then double it to get the area of the entire hexagon. The formula for area of a hexagon is A = a + b / 2(h), where a and b are the base lengths and h is the height. The given values are as follows:

a = 40
b = 60
h = 24

Let's plug them in and solve.

A = a + b / 2(h)
A = 40 + 60 / 2(24
A = 100 / 2(24)
A = 50(24)
A = 1200

Remember we have to double the area of the trapezoid to get the area of the whole hexagon.

1200 × 2 = 2400

Answer:
The area of the hexagon is 2,400 in².
5 0
4 years ago
Which one is greater 20 ounces or 20 grams
expeople1 [14]

Answer:

20 ounces

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Which equation and solution can be used to solve this problem? Twenty-two less than a number is twenty-four. q + 22 = 24: Subtra
kaheart [24]

Answer:

q-22=24. Hope this helps.

Step-by-step explanation:

22 less than a number, meaning 22 is subtracted FROM an unknown variable. Going by this you would add 22 on both sides, giving you an answer of 46.

3 0
3 years ago
Read 2 more answers
(-3,-2) and (-8,4)<br> what is the distance between them in radical form
nexus9112 [7]

Answer:(-4,5)

Step-by-step explanation:If you put (-3,2) and (-8,4) on a number line then it would be (-4,5).

7 0
4 years ago
4. A geometric sequence is defined recursively by a(1) = 40 and a(n)= a(n-1)
Anarel [89]

The complete question is:

A geometric sequence is defined recursively by

    a_{(1)}=40\text{ and }a_n=(-1/2)a_{(n-1)}

(a) Write out the first four terms of this sequence.

(b) Is the 9th term of this sequence larger or smaller than 1/10? Show the calculation that you use to determine your answer.

Answer:

  • <u>The 9th term is larger than 1/10.</u>

Explanation:

You are given the first term,    a_(1)=40 , and the recursive formula

   a_{(n)}=(-1/2)a_{(n-1}

Thus, you can find the sequence of terms by multiplying each term by the constant ratio, (-1/2).

<u>(a) First four terms of the sequence</u>

a_{(1)}=40\\ \\ a_{(2)}=40\times (-1/2)=-20\\ \\ a_{(3)}=-20\times (-1/2)=10\\\\ a_{(4)}=10\times (-1/2)=-5

Those are the first four terms.

<u>(b) 9th term</u>

You can write the explicit formula of the sequence as:

a_{(n)}=a_{(1)}\times r^{(n-1)}\\ \\ a_{(n)}=40(-1/2)^{(n-1)}

Thus, for the 9th term, n = 9, and the term is:

a_{(9)}=40\times (-1/2)^{(9-1)}\\ \\ a_{(9)}=40\times(-1/2)^8\\ \\ a_{(9)}=40\times(1/256)=0.1526

Since 1/10 = 0.1, and 0.1 < 0.1526, the 9th term is larger than 1/10.

6 0
3 years ago
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