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sveticcg [70]
4 years ago
6

HELP! Measure the angle shown below. A. 116° B. 104° C. 84° D. 76°

Mathematics
2 answers:
Vika [28.1K]4 years ago
8 0
76 degrees. hope this is okay ! :)
Scorpion4ik [409]4 years ago
5 0

Answer:

B. 104

Step-by-step explanation:

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Kaylie buys a sweater on sale for 40.11 if the discount is 20% off and she pays 1.91 in sales tax what is the original price of
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The price before discount is: 40.11 : 80%= 50.1375
The tax before sales is 1.91 : 80%= 2.3875
And the original price of the sweater is 50.1375+ 2.3875= 52.525
The original price is $52.525
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4 years ago
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The measure of angle O is 110°. what is the angle of r and p?
sergij07 [2.7K]

Answer:

Choice D for Angle R

70 degrees for Angle P

Step-by-step explanation:

Google "central angles and inscribed angles geometry" for an explanation.

It's actually a poorly worded question.

7 0
4 years ago
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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
A person who is 68in tall casts a shadow that is 54in long. At the same moment, a tree casts a shadow that is 18ft long. What is
34kurt

Answer:

<u>22.67 ft</u> is the height of tree.

Step-by-step explanation:

Given:

Height of a person is 68 in and casts a shadow that is 54 in long.

At the same point, a tree casts a shadow that is 18 ft long.

Now, to find the height of tree.

Let the height of tree be x.

If height of a person is 68 in he casts a shadow of 54 in.

So, 68 in is equivalent to 54 in.

Thus, x is equivalent to 18 ft.

Now, to get the height of tree by using cross multiplication method:

\frac{68}{54} =\frac{x}{18}

<em>By cross multiplying we get:</em>

<em />1224=54x<em />

<em>Dividing both sides by 54 we get:</em>

22.67=x

x=22.67\ ft.

Therefore, the height of the tree is 22.67 ft.

6 0
4 years ago
Make x the subject. <br>1) а — x =y<br>2) m = k – x <br>3) k - t2x = m​
yanalaym [24]

Answer:

#1

{ \tt{a - x = y}} \\  \\ { \boxed{ \tt{x = a - y}}}

#2

{ \tt{m = k - x}} \\  \\ { \boxed{ \tt{x = k - m}}}

#3

{ \tt{k -  {t}^{2}x = m }} \\ { \tt{ {t}^{2} x = k - m}} \\  \\ { \boxed{ \tt{x =  \frac{k - m}{ {t}^{2} } }}}

4 0
2 years ago
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