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Luda [366]
3 years ago
13

Anyone know this ? picture shown please help

Mathematics
1 answer:
valina [46]3 years ago
5 0

They're just after some straightforward algebra starting from the Law of Cosine.  We don't have to evaluate any trig functions or anything like that.

c^2 = a^2 + b^2 - 2ab \cos C

We move the c² and the cosine term to their other sides,

2ab \cos C = a^2 + b^2- c^2

That's it for the algebra.  

a,b and c are the side lengths opposite A,B and C respectively.  So a=4, b=5, c=2.

We substitute:

2ab \cos C = 4^2 + 5^2- 2^2 = 16 + 25 - 4 = 37

Answer: A. 37

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Reduced to lowest terms.<br> 44 nickels to 11 dimes
Finger [1]

Answer:

4 nickels to 1 dime

Step-by-step explanation:

the steps are in the pic above I gotta get this to 20 characters bye!

3 0
2 years ago
Read 2 more answers
Nathan bought a pair of boots for $79.95 and 2 shirts for $19.99 each. The sales tax is 7.5%. How much did Nathan pay for all th
Sophie [7]
First, add up his total.
79.95+2*19.99=<span>119.93
Then multiply by 1.075 (this will add the tax to the amount)
That gives us </span><span>128.92475, which we can simplify to 128.92
He had to pay $128.92
</span>
8 0
3 years ago
I really need help i’m going to fail so answer if you can ! &lt;3
Volgvan

Answer:

110

Step-by-step explanation:

you place 30 in the place of X, and it becomes 4×30-10. in PEMDAS, multiplication goes first and 4×30=120. 120-10=110

8 0
3 years ago
Pool 22ft round what is circumference?
Vinil7 [7]
Cercumference = 2<span>πr
Then just multiply </span><span>π by denominator
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Answer 138.23
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5 0
3 years ago
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Find the vertex form of: y=2x^2-5x+13
Ket [755]
The vertex form of a quadratic function is:

 f(x) = a(x - h)² + k

The coordinate (h, k) represents a parabola's vertex.

In order to convert a quadratic function in standard form to the vertex form, we can complete the square.

y = 2x² - 5x + 13

Move the constant, 13, to the other side of the equation by subtracting it from both sides of the equation.

y - 13 = 2x² - 5x

Factor out 2 on the right side of the equation.

y - 13 = 2(x² - 2.5x)

Add (b/2)² to both sides of the equation, but remember that since we factored 2 out on the right side of the equation we have to multiply (b/2)² by 2 again on the left side.

y - 13 + 2(2.5/2)² = 2(x² - 2.5x + (2.5/2)²)

y - 13 + 3.125 = 2(x² - 2.5x + 1.5625)

Add the constants on the left and factor the expression on the right to a perfect square.

y - 9.875 = 2(x - 1.25)²

Now, we need y to be by itself again so add 9.875 back to both sides of the equation to move it back to the right side.

y = 2(x - 1.25)² + 9.875

Vertex: (1.25, 9.875)

Solution: y = 2(x - 1.25)² + 9.875

Or if you prefer fractions

y = 2(x - 5/4)² + 79/8
7 0
3 years ago
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