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sergiy2304 [10]
3 years ago
9

Select all the correct answers.

Mathematics
2 answers:
Arada [10]3 years ago
7 0

Answer:

5.43 × 1014

Step-by-step explanation

Cloud [144]3 years ago
3 0

Answer:

45.25

Step-by-step explanation:

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If cos 0=sin b then which of the following must be true?
miv72 [106K]
Rgtef erggreedg wrrevgerv erevt 
7 0
4 years ago
Fit a trigonometric function of the form f(t)=c0+c1sin(t)+c2cos(t)f(t)=c0+c1sin⁡(t)+c2cos⁡(t) to the data points (0,5.5)(0,5.5),
larisa86 [58]

Answer

f(t)=-0.2+4.1sin(t)+4cos(t)

Step-By-Step Explanation

Given the function f(t)=c_0+c_1sin(t)+c_2cos(t).

For each pair (t, f(t)) in the data points (0,5.5), (π/2,0.5), (π,−2.5), (3π/2,−7.5)

f(0)=c_0+0c_1+c_2=5.5.

f(\pi /2)=c_0+c_1+0c_2=0.5.

f(\pi)=c_0+0sin(t)-c_2=-2.5.

f(3\pi /2)=c_0-c_1+0c_2=-7.5.

Expressing this as a system of linear equations in matrix form AX=B

\left(\begin{array}{ccc}   1 & 0 & 1 \\   1 & 1 & 0 \\   1 & 0 & -1 \\   0 & -1 & 0    \end{array}   \right)\left(   \begin{array}{c}   c_{0} \\   c_{1} \\   c_{2}\\   \end{array}   \right)=\left(\begin{array}{c}   5.5 \\   0.5 \\   -2.5 \\   -7.5    \end{array}   \right)      

Where    

A=\left(\begin{array}{ccc}   1 & 0 & 1 \\   1 & 1 & 0 \\   1 & 0 & -1 \\   0 & -1 & 0    \end{array}   \right),      

B=\left(\begin{array}{c}5.5\\0.5\\-2.5\\-7.5\end{array} \right)

X=\left(\begin{array}{c}c_0\\c_1\\c_2\end{array}\right)     

To determine the values of X, we use the expression  

X=(A^{T}A)^{-1}A^{T}B      

A^{T}A= \left(\begin{array}{ccc}   3 & 1 & 0 \\   1 & 2 & 0 \\   0 & 0 & 2    \end{array}   \right)

(A^{T}A)^{-1}= \left(\begin{array}{ccc}   0.4 & -0.2 & 0 \\   -0.2 & 0.6 & 0 \\   0 & 0 & 0.5    \end{array}   \right)      

A^{T}B=\left(\begin{array}{c}   3.5 \\   8 \\   8    \end{array}   \right)      

Therefore:    

X=\left(\begin{array}{ccc}   0.4 & -0.2 & 0 \\   -0.2 & 0.6 & 0 \\   0 & 0 & 0.5    \end{array}   \right)\left(   \begin{array}{c}   3.5 \\   8 \\   8    \end{array}   \right)      

X=\left(\begin{array}{c}c_0\\c_1\\c_2\end{array}\right)=\left(\begin{array}{c} -0.2 \\4.1\\4\end{array}\right)  

Therefore, the trigonometric function which fits to the given data is:

f(t)=-0.2+4.1sin(t)+4cos(t)

8 0
3 years ago
Can someone help me with this
ivann1987 [24]

Answer:

56x

Step-by-step explanation:

Think of it an a triangle and a rectangle. The area of the rectangle is obviously 13 x 4x, which is 52x

for triangle, the hypotenuse is C, Right hand side is B and the side that is in the shape is B.

Area of triangle = (bh) / 2

B = 13 - 9, so B = 4

A = 6x - 4x, so A = 2x

the area is 2x x 4, which is 8x.

8x / 2 = 4x

The area is 4x + 52x, so the final answer is 56x

8 0
2 years ago
What is 10 +10×2÷8+5​
Anna [14]

Answer:

just use a calculator next time 17.5

Step-by-step explanation:

its 17.5 my dude

7 0
4 years ago
Read 2 more answers
1.08t can be written as (1.081/12)12t to give the approximate equivalent monthly interest rate based on an annual rate of 8%. Us
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<span>Because <span>t <span>is given in years and 1.08 <span>= <span>1 <span>+ <span>0.08, the annual percent increase
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To find the monthly percent increase that gives an 8% annual increase,
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t = \frac{1}{12} * 12 t<span><span><span><span>
<span><span><span><span>and the properties of exponents to rewrite the
model in a form that reveals the monthly growth rate.</span></span></span>
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1.08^{t} &#10;= 1.08^{(1/12)(12t)} &#10;= (1.08^{1/12}) ^{12t} &#10;=  1.0064634^{12t}
6 0
3 years ago
Read 2 more answers
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