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Artemon [7]
3 years ago
12

Use the Law of Cosines to determine the length of the third side of the triangle.

Mathematics
1 answer:
Alchen [17]3 years ago
6 0

<u>Corrected Question</u>

Given a triangle with two sides 4.1 cm and 6.7cm and an Included angle of 35^\circ. Use the Law of Cosines to determine the length of the third side of the triangle.

Answer:

(D) 4.1cm

Step-by-step explanation:

Given a triangle with two sides 4.1 cm and 6.7 cm and an included angle of 35^\circ.

Using Law of Cosines

a^2=b^2+c^2-2bc\cos A\\a^2=4.1^2+6.7^2-2*4.1*6.7\cos 35^\circ\\a^2=16.6958\\a=\sqrt{16.6958}\\a=4.09\\a \approx 4.1$ cm

The correct option is D.

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This is my homework and the last question confuses me,it's a simple sequence but I don't understand, could anybody help me out?
Tpy6a [65]

Answer:

already in order

Step-by-step explanation:

.00001, .0002, .003, .04, .5

3 0
3 years ago
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X=y^2 is x a function of y
oksano4ka [1.4K]

It is false that x is a function of y

<h3>How to determine the true statement?</h3>

The equation is given as:

x = y^2

Set y = 2

x = (2)^2

x = 4

Set y = -2

x = (-2)^2

x = 4

Different values of y give the same x value.

This means that x is not a function of y

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2 years ago
What is 30 percent of 3700000
VashaNatasha [74]

Answer:

1110000

Step-by-step explanation:

1. We assume, that the number 3700000 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 3700000 is 100%, so we can write it down as 3700000=100%.

4. We know, that x is 30% of the output value, so we can write it down as x=30%.

5. Now we have two simple equations:

1) 3700000=100%

2) x=30%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

3700000/x=100%/30%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 30% of 3700000

3700000/x=100/30

(3700000/x)*x=(100/30)*x       - we multiply both sides of the equation by x

3700000=3.33333333333*x       - we divide both sides of the equation by (3.33333333333) to get x

3700000/3.33333333333=x

1110000=x

x=1110000

now we have:

30% of 3700000=1110000

6 0
3 years ago
Read 2 more answers
Solving Quadratic Equations: Factoring
Radda [10]

Answer:

The factored form of the equation is (x+4)(x-6)=0.

Step-by-step explanation:

Because (x-4)(x+2)=x^2-4x+2x-8=16,

so that means x^2-2x-8=16,

move 16 to the other side,

you get x^2-2x-8-16=0,

simplify,

you get x^2-2x-24=0,

which satisfies (x+4)(x-6)=0 when factored out.

Because (x+4)(x-6)=x^2+4x-6x-24=x^2-2x-24=0.

3 0
3 years ago
Martin find a shirt on sale for 10% off at a department store the original price was $20 Martin must also pay 8.5% sales tax how
tankabanditka [31]
First change the percent to a decimal 10% = 0.1  8.5% = 0.085
then subtract 20 - 0.1 = 19.9
then add 19.9 + 0.085 = 19.985
hope it help ☺
8 0
3 years ago
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