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Arturiano [62]
3 years ago
11

Hayden likes building radio-controlled sailboats with her father. One of the sails, shaped like a right triangle, has side lengt

hs measuring 6 inches, 8 inches, and 10 inches. To log her activity, Hayden creates and collects drawings of all the boats she and her father built together. Using the scale factor of 1/4, create a scale drawing of the sail.

Mathematics
1 answer:
ankoles [38]3 years ago
5 0

Answer:

The sides of the triangle will be 1.5" , 2"  and 2.5". The scale drawing is attached.

Step-by-step explanation:

The original measures of the triangle are:

6 inches

8 inches

10 inches

In order to transform the measures to the scale 1:4 we have to divide each measure by 4:

<u>Scale dimensions (1:4)</u>

6 inches÷4= 1.5 inches

8 inches÷4= 2 inches

10 inches÷4= 2.5 inches

We make a drawing with this measures. (The drawing is attached.

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What are the values of a and b?
Lady_Fox [76]

Answer:

a =17.08

b = 16.97

Step-by-step explanation:

What are the values of a and b?

Using pythagoras therem';

Hyp^2 = opp^2 + adj^2

Get the value of b;

18^2 = b^2 + 6^2

324 = b^2 + 36

b^2 = 324 - 36

b^2 = 288

b = √288

b = 16.97

Get the value of a;

b^2 + 2^2 = a^2

288 + 4 = a^2

292 = a^2

a^2  = 292

a = √292

a= 17.09

6 0
2 years ago
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Matthew is 5 years older than twice the age of his sister. if matthew 13, how old is sister
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the cost of four scarves and six hats is 52$. the cost of two hats is$1 more then the cost of one scarf. what are the costs of s
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Step-by-step explanation:


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3 years ago
Factorise <br> a) 3x^2-7x+2<br> b)2x^2-x-3<br> c)3x^2-16x-12
Luba_88 [7]

Answer: Answers are in the steps read carefully!

Step-by-step explanation:

A) 3x^2 - 7x + 2 To factor this polynomial, you have to find two numbers that their product is 6 and their sum is -7.  The numbers -1 and -6 works out because -6 times -1 is 6  and -6 plus -1 is -7.

Now rewrite the polynomial as

3x^2 - 1x - 6x + 2   Now group it  

(3x^2 - 1x) (-6x+2)  Factor it by groups

x (3x -1)  -2(3x -1)    Now factor out 3x-1  

(3x -1) (x-2)  Done!    

B)  2x^2 - x -3     Now the same way.You will have two numbers that  their product is -6 and their sum is -1. You may be wondering how I get -6 .I get -6 by multiply the leading coefficient  2 by the constant -3.  The numbers -3 and 2 works out. Because -3 times 2 is -6 and -3 plus 2 is -1.

 Rewrite the polynomial as

2x^2 +2x - 3x -3     GRoup them and factor them

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2x(x+1) -3(x+1)  Factor out x+1

(x+1) (2x -3) Done!  

C) 3x^2 - 16x - 12   Find two numbers that their product is -36 and their sum is -12. The numbers -18 and 2 works out because -18 times 2 is -36 and -18 plus 2 is -16.

Rewrite the polynomial

3x^2 +2x -18x - 12   GRoup them

 (3x^2 + 2x)   (-18x - 12)   Factor them

x (3x +2) -6(3x +2)  Factor out 3x+2

(3x+2) (x -6)  Done !

6 0
3 years ago
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