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jeyben [28]
3 years ago
14

{10}(a) " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
exis [7]3 years ago
5 0

Answer:

b = log_{10}(a) \\  \\  \therefore \:  {10}^{b}  = a

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Estimate the area of Alberta in square miles. Show your reasoning
ella [17]

Answer:  About 278,250\ mi^2

Step-by-step explanation:

The missing figure is attached.

Notice in the first picture that Alberta has a complex shape.

You can calculate the area of a complex shape by decomposing it into polygons whose areas can be calculated easily.

Observe the second picture. Notice that it can be descompose into two polygons: A trapezoid and a rectangle.

The area of the trapezoid  can be calcualted with the formula:

A_t=\frac{h}{2}(B+b)

Where "h" is the height, "B" is the long base and "b" is short base.

And the area of the rectangle can be found with the formula:

 A_r=lw

Wkere "l" is the lenght and "w" is the width.

Then, the apprximate area of Alberta is:

A=\frac{h}{2}(B+b)+lw

Substituting vallues, you get:

A=(\frac{(410\ mi-180\ mi)}{2})(760\ mi+470\ mi)+(180\ mi)(760\ im)\\\\A=141,450\ mi^2+136,800\ mi^2\\\\A=278,250\ mi^2

Therefore, the area of of Alberta is about 278,250\ mi^2.

5 0
3 years ago
Find an equation of the line containing the centers of the two circles whose equations are given below.
alexdok [17]
Find a power series representation for the function. Determine the interval of convergence. (Give your power series representation centered at x???
4 0
3 years ago
Make y the subject of these equations.<br> by² = d<br> Jay = 6<br> ay - cy = d.<br> cy - b) = y
allsm [11]

Answer:

See all the answers  below.

Step-by-step explanation:

by² = d

Jay = 6

ay - cy = d.

cy - b) = y

Option A

by² = d

divide both side by b

y² = d/b

square both sides

y=√d/b

Option B

Jay = 6

Divide both sides by Ja

y= 6/Ja

Option C

ay - cy = d

y(a-c)=d

divide both sides by (a-c)

y= d/(a-c)

Option D

(cy - b) = y

y-cy=-b

y(1-c)=-b

y= -b/(1-c)

6 0
3 years ago
all shoes are 1/7 off of the original price. how much would a pair of shoes cost that were originally $35.00​
yanalaym [24]

Answer:

35 diveded by 7=5 so 35 minus 5 = 30 so the shoes are 30.00

Step-by-step explanation:

4 0
2 years ago
Which notation best represents the phrase “no more than 200”
Lilit [14]

Answer:

X<_200

Step-by-step explanation:

We know that if the number connot be more than 200 then the number is less than or equal to 200

7 0
3 years ago
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