To find the surface area of this figure, we simply have to add up the individual areas of the shapes that make up the figure.
Surface area = 4(area of triangle) + area of square
Surface area = 4 ( 1/2 * base * height) + side^2
Surface area = 4( 1/2 * 6 * 7) + 6^2
Surface area = 4 (3 * 7) + 36
Surface area = 4(21) + 36
Surface area = 84 + 36
Surface area = 120 cm^2
Hope this helps!
Using linear and composite functions, it is found that the x-intercept of g(h(x)) is 
, given by option B.
-------------------------------
The equation of a line is:
In which:
- m is the slope.
- b is the y-intercept.
Function g:
- Two of the points are (-6,16) and (-4,10).
- The slope is given by <u>change in y divided by change in x</u>, thus:
Thus:
Point (-4,10) means that when 
, and we use this to find b, so:
Then
Function h:
- Two of the points are (-6,-11) and (-4,-7).
- The slope is:
Thus:
Point (-4,-7) means that when 
, and we use this to find b, so:
Then
The composite function is:
The x-intercept it the zero of the function, thus:
Which is option B.
A similar problem is given at brainly.com/question/21010520
<u>I used trial and error. It's a great method.</u>
35 blue shirts
20 gray shirts
35*12=420
20*10=200
420+200=620.
Hope this helped! If it didn't or you need further explanation, please tell me so I can do so.
No marbles are left because they split them equally therefore they would all get 8 marbles.
They're all simple.
150 = 25r
The r is multiplied for 25, so we should know what r equals to when it's not multiplied (1r).
So divide both terms for 25.
150/25 = 25r/25
6 = r
r = 6 <- answer
38 = 4p
Same thing here (divide both terms for 4)
38/4 = 4p/4
38/4 = p
p = 38/4 and simplify p = 19/2 <- answer
18 = a/20
We have a fraction, and we have to "delete" it.
There are two ways.
First one: multiply both terms for the denominator of the fraction.
18*20 = a/20 * 20
360 = a
a = 360 <- answer
Second way.
Take the two fractions to the common denominator (20) and do the LCM.
360/20 = a/20. Multiply both for 20
360 = a
a = 360
0 = 10x
0/10 = 10x/10
x = 0 <- answer
