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IgorC [24]
3 years ago
13

A bridge is 28 meters long. Find the length of a scale model if the scale is 1 : 550

Mathematics
1 answer:
Vlada [557]3 years ago
3 0

Answer:

0.05090909 meters

Step-by-step explanation:

28 is to p as 550 is to 1

is what you should ask yourself

so 550 times p equals 28 times 1 (crossmultiplying)

550p=28

now divide 28 by 550 to find p, the length of the scale model

=0.05090909

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4 0
3 years ago
What are the values of a and b?
ivann1987 [24]

Answer:

<h2>a = 400/21, b = 580/21</h2>

Step-by-step explanation:

Small triangles are similar. Therefore, the sides are proportional

\dfrac{a}{20}=\dfrac{20}{21}               <em>cross multiply</em>

21a=(20)(20)       <em>divide both sides by 21</em>

a=\dfrac{400}{21}

For b, we can use the Pythagorean theorem:

b^2=\left(\dfrac{400}{21}\right)^2+20^2\\\\b^2=\dfrac{160000}{441}+400\\\\b^2=\dfrac{160000}{441}+\dfrac{176400}{441}\\\\b^2=\dfrac{336400}{441}\to b=\sqrt{\dfrac{336400}{441}}\\\\b=\dfrac{\sqrt{336400}}{\sqrt{441}}\\\\b=\dfrac{580}{21}

3 0
3 years ago
Given A = 60o, B = 80o, and a = 5.1, use the Law of Sines to solve the triangle for the value of b. Round answer to two decimal
Kipish [7]
5.1/sin 60 = b/sin 80
cross multiply
b Sin 60 = 5.1 Sin 80
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4 0
3 years ago
Solve the simultaneous equation:<br>2x+3y=13<br><br>X+2y=9​
Neko [114]

Answer:

2x + 3y = 13

4x - y = -2

In the second equation, subtract 4x from both sides.

-y = -2 - 4x

Divide both sides by -1.

y = 2 + 4x

Put this into the first equation in place of y.

2x + 3(2 + 4x) = 13

Multiply everything in the parenthesis by 3.

2x + 6 + 12x = 13

Combine like terms.

14x + 6 = 13

Subtract 6 from both sides.

14x = 7

Divide 14 on both sides.

x = 7 / 14

x = 0.5

Put this into the second equation in place of x.

4(0.5) - y = -2

2 - y = -2

Subtract 2 from both sides.

-y = -4

Divide both sides by -1.

y = 4

So x = 0.5 and y = 4.

Step-by-step explanation:

8 0
3 years ago
What is the equation of the following line written in general form?
AlekseyPX

Answer:

add 1;6 and 6,2 hope this helps ;)

8 0
3 years ago
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