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erica [24]
3 years ago
9

Please help. Calculate the area of the shaded region in each figure use 3.14 for π and round to the nearest 10th if necessary​

Mathematics
1 answer:
denpristay [2]3 years ago
5 0
Answer: See below

Explanation:

Find the area of circle:

A = 3.14 x 5^2
A = 3.14 x 25
A = 78.5 cm^2

Find the area of rectangle:

A = 3 x 4
A = 12

Find area of shaded region:

A(shaded) = A(circle) - A(rectangle)
A = 78.5 - 12 = 66.5 cm^2
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Use the svd() function in MATLAB to compute , the rank-1 approximation of . Clearly state what is, rounded to 4 decimal places.
Afina-wow [57]

Answer:

Here is the Matlab code.

Step-by-step explanation:

Matlab Code:

A = [1 2 2;3 4 5;6 7 8]\\[U,S,V] = svd(A)u1 = U(:,1)\\u2 = U(:,2)\\u3 = U(:,3)\\d1 = dot(u1,u2)\\c = cross(u1,u2)\\d2 = dot(c,u3)

d1 =-    5.5511e-17\\c =   -0.7172    0.6643   -0.2103\\d2 =        1  

Yes, since c = cross(u1,u2) is orthogonal to both u1 and u2. Hence is u3, thus the dot product with u3 is 1.

7 0
2 years ago
Write the point-slope form of the given line that passes through the points (0, 3) and (4, 0). Identify (x1, y1) as the x-interc
Sindrei [870]
Now, bear in mind that, when the y-axis gets intercepted, x = 0, therefore 0,3 is really the y-intercept.

and when the x-axis gets intercepted, y = 0, therefore 4,0 is the x-intercept, thus we will use this one in the point-slope form then.

\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
&({{ 0}}\quad ,&{{ 3}})\quad 
%   (c,d)
&({{ 4}}\quad ,&{{ 0}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{0-3}{4-0}\implies -\cfrac{3}{4}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-0=-\cfrac{3}{4}(x-4)
5 0
3 years ago
There were 6 pizza pies at the summer barbeque at Abby's House. She shares the pizza with her 7 friends. If all 8 people get the
vodka [1.7K]

6 pies, 8 people

6 pies divided by 8 people

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8 0
3 years ago
P + 1/4 (is less than or equal to) 2
Kamila [148]

Answer:

p ≥ 7/4

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
PLZ HURRY IT'S URGENT!!
FromTheMoon [43]

Option C: \frac{4}{5} is the slope of the line

Explanation:

The line passes through the points (3,-1) and (-2,-5)

We need to find the slope of the line.

The slope can be determined using the formula,

m=\frac{y_2-y_1}{x_2-x_1}

Where the coordinates (x_1,y_1) and (x_2,y_2) are (3,-1) and (-2,-5)

Let us substitute the points in the formula

Thus, we have,

m=\frac{-5-(-1)}{-2-3}

Simplifying, we get,

m=\frac{-5+1}{-2-3}

Adding the numerator and denominator, we have,

m=\frac{-4}{-5}

Cancelling the negative terms, we get,

m=\frac{4}{5}

Thus, the slope of the line is m=\frac{4}{5}

Therefore, Option C is the correct answer.

5 0
3 years ago
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