Answer:
$60
Step-by-step explanation:
Jason saved gas money (x). Maria saved $20 more than double what Jason has (20 + 2x). Combined, they saved $200. Solve for x for Jason's amount.
(x) + (20 + 2x) = 200
x + 20 + 2x = 200
3x + 20 = 200
3x + 20 = 200
3x + 20 - 20 = 200 - 20
3x = 180
3x/3 = 180/3
x = 60
Jason saved $60 for this trip.
Answer:
1- 4.76
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
8·15·h=1440
120·h=1440
=
(Divide both sides by 120)
h=12
<em><u>h stands for height</u></em>
Answer:
Part 1)
Bob's mistake was to have used the cosine instead of the sine
The measure of the missing angle is 
Part 2) The surface area of the pyramid is 
Step-by-step explanation:
Part 1)
Let
x----> the missing angle
we know that
In the right triangle o the figure
The sine of angle x is equal to divide the opposite side angle x to the hypotenuse of the right triangle


Bob's mistake was to have used the cosine instead of the sine
Part 2) we know that
The surface area of the square pyramid is equal to the area of the square base plus the area of its four lateral triangular faces
so
![SA=b^{2}+4[\frac{1}{2}(b)(h)]](https://tex.z-dn.net/?f=SA%3Db%5E%7B2%7D%2B4%5B%5Cfrac%7B1%7D%7B2%7D%28b%29%28h%29%5D)
where
b is the length side of the square
h is the height of the triangular lateral face
In this problem
-------> by an 45° angle
so



Find the value of b

Find the surface area
![SA=12^{2}+4[\frac{1}{2}(12)(6)]=288\ cm^{2}](https://tex.z-dn.net/?f=SA%3D12%5E%7B2%7D%2B4%5B%5Cfrac%7B1%7D%7B2%7D%2812%29%286%29%5D%3D288%5C%20cm%5E%7B2%7D)
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;
