Answer:
<em>290.5 square miles</em>
Step-by-step explanation:
Consider splitting this figure into two mini rectangles and a triangle, each of given lengths;

<em>Solution; 290.5 square miles</em>
Answer:
The coordinates of point M' are
.
Step-by-step explanation:
According to the statement, we have the following translation rule:
(1)
Where:
- Original point.
- Translated point.
- Translation vector.
If we know that
, then the coordinates of the point M' are:


The coordinates of point M' are
.
Answer:
Answer is 
Step-by-step explanation:
To find the interval of x. Use our equations to equal each other.



Integrate.
![\frac{-x^3}{3}+x^2\\(\frac{-2^3}{3}+2^2)-[\frac{-0^3}{3}+0^2]\\-\frac{8}{3} +4-0\\-\frac{8}{3}+\frac{12}{3} =4/3](https://tex.z-dn.net/?f=%5Cfrac%7B-x%5E3%7D%7B3%7D%2Bx%5E2%5C%5C%28%5Cfrac%7B-2%5E3%7D%7B3%7D%2B2%5E2%29-%5B%5Cfrac%7B-0%5E3%7D%7B3%7D%2B0%5E2%5D%5C%5C-%5Cfrac%7B8%7D%7B3%7D%20%2B4-0%5C%5C-%5Cfrac%7B8%7D%7B3%7D%2B%5Cfrac%7B12%7D%7B3%7D%20%20%3D4%2F3)
Using Desmos I have Graphs of both of the equations you have provided. The problem asks us to find the shaded region between those curves/equations.
Proof Check your interval of x.
Answer:
y=4.8710 is the missing value
Step-by-step explanation:
The first step in approaching this question is determining the exponential equation that models the set of data. This can easily be done in Ms.Excel application. We first enter the data into any two adjacent columns of an excel workbook. The next step is to highlight the data, click on the insert tab and select the x,y scatter-plot feature. This creates a scatter-plot for the data.
The next step is to click the Add chart element feature and insert an exponential trend line to the scatter plot ensuring the display equation on chart is checked.
The exponential regression equation for the data set is given as;

To find the missing y value, we simply substitute x with 2 in the regression equation obtained;

Answer:
x=88° a=+3 b=4a-3
Step-by-step explanation:
as triangles ADE and BCE are congruent by sss axiom
so correponding angles are equal
i.e<AED = <BEC
and <DAE =90-60
=30°
so
62°+x+30°=180°
therefore x=88°