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scoray [572]
3 years ago
11

“Calculate the lengths of the 2 unlabeled sides”

Mathematics
1 answer:
Tpy6a [65]3 years ago
8 0

Answer:

NL = 4.33

NM = 5

Step-by-step explanation:

tan 60° = NL/2.5

tan 60° = 1.7321

so:

1.7321 = NL/2.5

NL = (2.5)(1.7321)

NL = 4.33

cos 60° = 2.5/NM

cos 60° = 0.5

so:

0.5 = 2.5.NM

NM = 2.5/0.5

NM = 5

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3x+5y=12 solve for x
Ivenika [448]

Answer:

x=4-5/3y

Step-by-step explanation:

3x+5y=12 make x on one side

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x=4-5/3y

7 0
4 years ago
Use set notation to denote the elements, subsets, and complements of the following given sets.
vlabodo [156]

Answer:

N = {13, 15, 17, 19} is the correct answer.

Step-by-step explanation:

<u>We are given with the following details:</u>

N is the set of odd natural numbers.

N contains the elements which are greater than 11 and less than 21.

<u>To write:</u> The set notation for the elements of set N.

<u>Solution:</u>

First of all, let us see what are odd natural numbers.

Natural numbers are the positive integers i.e. {1,2,3,4, ........ }

Odd Natural numbers are the natural numbers which leave remainder as 1 when divided by 2 i.e. {1,3,5,7,9,11,13, ...... 21, 23, 25, 27.....}

Here, set N is odd natural numbers greater than 11 (so 11 will not be included) and less than 21 (so 21 will not be included). Odd natural numbers between 11 and 21 will be included.

So the <em>answer will be N = {13,15,17,19}.</em>

<em></em>

7 0
3 years ago
Please show me how to solve this equation step by step!<br> 1/25(20-t)=4/25t-3/5
rjkz [21]

Remark

Multiply both sides of the equation by 25. Then you have an equation that you have already done probably.

Step One

Multiply both sides of the equation by 25

1 * (20 - t) = 4t - (3/5) * 25    Every part of the equation must be multiplied by 25

(20 - t) = 4t - 75/5                 3*25/5 = 75/5

20 - t = 4t - 15                       Add t to both sides

20 - t + t =4t + t  - 15             Combine like terms

20 = 5t - 15                            Add 15 to both sides

20 + 15 = 5t - 15 + 15             Combine like terms  

35 = 5t                                    Divide by 5

35/5 = 5t/5                             Switch sides

t = 7  Answer

5 0
3 years ago
Find the total surface area of this triangular prism
Mnenie [13.5K]

Answer:

<h2><u><em>144 cm²</em></u></h2>

Step-by-step explanation:

6 * 8 + 10 * 4 + 8 * 4 + 6* 4 =

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first i found the area of ​​the triangle without dividing by two because they are one on each side

6 0
3 years ago
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