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Scilla [17]
2 years ago
15

Fine the value of a in the image below.​

Mathematics
2 answers:
telo118 [61]2 years ago
7 0

Answer:

metre it with scale and then write its value with points

skad [1K]2 years ago
7 0

Answer:

Step-by-step explanation:

a + a + a + 120 + 90 = 360

Combine like terms

3a + 210 = 360

Subtract 210 from both sides

3a           = 360 - 210

        3a  = 150

Divide both sides by 3

          a = 150/3

          a = 50°

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Find all local extrema for f(x, y) = 2y3 + 12x2 − 24xy. (if an answer does not exist, enter dne.) local minimum (x, y) = local m
OlgaM077 [116]
f(x,y)=2y^3+12x^2-24xy
Find the first derivatives:
f'_x=24x-24y \\ f'_y=6y^2-24x.
Solve the system \left \{ {{f'_x=0} \atop {f'_y=0}} \right.:
\left \{ {{24x-24y=0} \atop {6y^2-24x=0}} \right. \rightarrow \left \{ {{x=y} \atop {6y^2-24y=0}}. The second equation has solutions y_1=0, \\ y_2=4 and then x_1=0, \\ x_2=4 and you have two points A_1(0,0), \\ A_2(4,4).

Find the first derivatives:
f^{''}_{xx}=24 \\ f^{''}_{xy}=f^{''}_{yx}=-24 \\ f^{''}_{yy}=12y and calculate \Delta=\left|  \left[\begin{array}{cc}24&-24\\-24&12y\end{array}\right]\right |=24\cdot 12y-(-24)^2=288y-576.
Since \Delta(A_1)=-576 and f^{''}_{xx}\ \textgreater \ 0, A_1 is a point of maximum and f(0,0)=0.
Since \Delta(A_2)=576 and f^{''}_{xx}\ \textgreater \ 0, A_1 is a point of minimum and f(4,4)=-64.




4 0
3 years ago
Sales tax in Albany County is 7%, or .07 for each dollar spent. Which expression shows how to calculate the sales tax on a purch
Anton [14]

Answer:

B

Step-by-step explanation:

To find the sales tax on a purchase of $49, what we simply do is to find 7% of $49. This means that we do the percentage calculation. To do this , we simply place 7 all over 100 and multiply by the purchase amount

This can be written as 7/100 * 49 and this is same as 0.07 * $49

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Step-by-step explanation:

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