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Oksanka [162]
3 years ago
11

Find angle B. What is angle B.

Mathematics
1 answer:
julsineya [31]3 years ago
7 0

Answer:

B=45 Degrees

Step-by-step explanation:

You can use law of sines to answer. Law of Sines states that \frac{sin(a)}{A} =\frac{sin(b)}{B}. That means that \frac{sin(60)}{4\sqrt{6} }=\frac{sin(b)}{8}. Multiplying 8 to both sides gives us \frac{8sin(60)}{4\sqrt{6} }=sin(b). By using inverse of sin, we get b =  sin^{-1} (\frac{8sin(60)}{4\sqrt{6} } ). Plugging that into a calculator gives us b=45 degrees.

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Step-by-step explanation:

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A rectangle has a height of 2x^4 with a width of x^2+8x+15. Express the area of the rectangle.
Amiraneli [1.4K]

Hi there!

We know that the formula for the area of a rectangle is height * width. Thus, we can multiply these two expressions together:

2x^4\cdot (x^2+8x+15)\\

Now, we know through the distributive property that we can distribute the 2x^4\\ to everything in the parenthesis. Once this is done, we get:

2x^4 \cdot x^2+2x^4\cdot8x+2x^4\cdot15

Now, we know through the power rule that when two exponents are multiplied together with the same base, the exponent can be added together (x^a \cdot x^b = x^{a+b}). This then would make our equation:

2x^{4+2}+16x^{4+1}+30x^4\\

Giving us for our final answer:

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8 0
3 years ago
Which number sentence shows equivalent fractions?
galina1969 [7]
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4 years ago
Suppose that f(x,y) is a smooth function and that its partial derivatives have the values, fx(−7,−2)=−1 and fy(−7,−2)=3. Given t
yarga [219]

Answer:

f(-6,-1) =0

Step-by-step explanation:

We are given the following in the question:

f_x(-7,-2)=-1\\f_y(-7,-2)=3\\f(-7,-2)=-2

We have to estimate the value of f(-6,-1)

By Taylor approximation we have:

f(x,y) =f(-7,-2)+ f_x(-7,-2)(x+7) + f_y(-7,-2)(y+2)\\f(x,y) = -2 + (-1)(x+7) + 3(y+2)\\f(x,y) = -2-x-7+3y+6\\f(x,y) = -x+3y-3

Now, putting values, we get,

f(x,y) = -x+3y-3\\f(-6,-1) = -(-6)+3(-1)-3\\f(-6,-1) =0

is the required value.

5 0
4 years ago
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