Answer:
144
Step-by-step explanation:
On this shape we are going to splt up the 4 triangles for the square to make it simple.
So, firstly, plug is the h an w of one of the triangles into the formula for the area of a triangle which is hxw/2
H=9
W=6
9x6/2=27
Then multiply the area of the triangle, 27, to get the total area of all 4 triangles (since they all have the same measurements)
27x4=108
108 is the area of all 4 triangles
Next, just put the l and w into the equation for the area of a square which is lxw
L=6
W=6
6x6=36
36 is the area of the square
Lastly, just add the areas of the triangles and the square together
108+36=144
144 is the total area/surface area, of the pyramid
Answer:
m∠C = 122°
Step-by-step explanation:
Opposite angles of a quadrilateral inscribed in a circle are supplementary. This means
m∠A + m∠C = 180°
m∠B + m∠D = 180°
To find angle C we need to find x, then subtract m∠A from 180°
x+20=3x
20=2x
x=10
Now we substitute 10 in for x
m∠A=2(10)+38
m∠A=20+38
m∠A=58°
Now we subtract this value from 180.
m∠C=180-58
m∠C=122°
Your question is not clear. I must guess what you meant. Did you mean "Find the two numbers?"
If so, let the two numbers be m and n. Then mn=60 and m=n-7.
Then (n-7)(n) = 60, or n^2 -7n - 60 = 0. This factors: (n+5)(n-12) = 0
Thus, n = -5 or n = 12.
check: does mn = 60? Does 12*5 = 60? Yes. Is m (which is 5) 7 less than n (which is 12)? Yes.
Note that you could also check to see whether n=-5 and m=n-7=-5-7=-12 is also a solution.
