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Sav [38]
3 years ago
15

When to use Sine and Cosine and Tan Laws

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
5 0
'you use sine = opposite/ hypotenuse

you use cosine = adjacent/ hypotenuse

you use tan laws= opposite/adjacent
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If the sides of two similar triangles are in the ratio of 3:5, find the ratio of their areas.
Kazeer [188]

Ratio of areas of similar triangles is 9 : 25.

Solution:

Given data:

Ratio of sides of two similar triangles = 3 : 5

To find the ratio of areas of the triangles:

We know that,

<em>In two triangles are similar, then the ratio of their area is equal to the square of the ratio of their sides.</em>

$\text{Ratio of areas} = \frac{\text{Area of triangle 1}}{\text{Area of triangle 2} }

                      $=\left(\frac{3}{5}\right) ^2

                      $=\frac{9}{25}

Ratio of areas of similar triangles is 9 : 25.

5 0
3 years ago
Read 2 more answers
Help please asap!!! thanks :))
Gnoma [55]
I think maybe the answer is probably 7. Hope this helps !!
3 0
3 years ago
Principal: $15,000
zhannawk [14.2K]
I like eating poop that’s the answer
7 0
3 years ago
Robert has 60 feet of fence to make a dog pen. He will use the house for one side of the pen, as shown above. What dimensions wi
irinina [24]

The formula for an area of a regular parallelogram is:

A = l * w

Where,

l = length

w = width

We are given that the total measurement of fence is only 60 feet and one side of the house is used as one side of the pen. Therefore,

l + 2 w = 60

<span>or simplifying to make an explicit expression for one  variable, say l:</span>

l = 60 – 2 w

<span>Substituting to the 1st equation:</span>

A = (60 – 2 w) * w

A = 60 w – 2 w^2

<span>The maxima are obtained by getting the 1st derivative then equating dA/dw = 0:</span>

dA/dw = 60 – 4 w

60 – 4 w = 0

4 w = 60

w = 15

Since l = 60 - 2w

l = 60 – 30

l = 30

<span>Therefore the dimension that will make the largest pen is 15 ft by 30 ft.</span>

<span>ANSWER: C</span>

7 0
3 years ago
Solve for the variable b. 5a(b - c ) = d
OLEGan [10]
We have to isolate b using inverse operations.

5a(b - c) = d
Simplify using Distributive Property.
5ab - 5ac = d
Add 5ac to both sides.
5ab = d + 5ac
Divide both sides by 5a.
b = 5ac + d / 5a
6 0
3 years ago
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