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Ymorist [56]
4 years ago
8

Given the diagram below, what is sin (30°) ?

Mathematics
1 answer:
marshall27 [118]4 years ago
7 0

Answer:

A.  1/2.

Step-by-step explanation:

The ratio of the sides of a 30-60-90 triangle  is 2:1:√3   where  2 is the hypotenuse. 1 is the shortest leg and √3 is the longest leg.

In the diagram we see that the longest leg is opposite the 60 degree angle.

So the longest leg is 3.5√x and  the shortest leg ( from applying the ratios) = 3.5√x / √3.

and the hypotenuse is  2 *  3.5√x / √3    (using the ratios again).

So sin  30 = shortest leg / hypotenuse =  3.5√x / √3 /  2 *  3.5√x / √3

= 1/2.

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A nature center offers 2 guided walks.The morning walk is 2 third mile.The evening walk is 3 sixth mile.Which walk is shorter?
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If conditional is true and it’s_____ is true, then the conclusion is true
Jlenok [28]

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Step-by-step explanation:

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3 years ago
Does the equation 7c+8p=29.60 help us to solve the original system? 5c+4p=18.40 2c+4p=11.20 If you think so, explain how it help
garik1379 [7]

Step-by-step explanation:

Given the simultaneous equation

5c+4p=18.40 ..... 2

2c+4p=11.20.......2

According to the equation given  7c+8p=29.60, we will see that the two equation was added to get the required equation in question. Note that this equation  7c+8p=29.60 cannot help us to solve the simultaneous equation because the resulting equation is one equation with two unknown variables. For us to get a solution to the simultaneous equation, we need to reduce the system of equation to just an equation and a variable. This can be gotten by taking the difference of the two equation as shown: (Elimination method)

Equation 1 - equation 2 will give;

(5c-2c)+(4p-4p) = 18.40-11.20

3c+0 = 29.60

3c = 29.60

Divide both sides by 3

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c = 9.87

Substitute c = 9.87 into equation 2

From 2: 2c+4p = 11.20

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9.87 + 2p = 5.60

2p = 5.60 - 9.87

2p= -4.27

p = -4.27/2

p = -2.135

You can see that what helped in solving the system of equation is by eliminating one of the variables first using the Elimination method.

8 0
3 years ago
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