Answer:
![85in^2](https://tex.z-dn.net/?f=85in%5E2)
Step-by-step explanation:
to find the surface area we need to find the followng areas:
- area of a triangle and multiply it by 4 (because there are 4 triangles)
And once we have those areas, we add them to find the surface area.
Area of the square:
the formula to find the area of a square is:
![a_{square}=l^2](https://tex.z-dn.net/?f=a_%7Bsquare%7D%3Dl%5E2)
where
is the length of the side: ![l=5in](https://tex.z-dn.net/?f=l%3D5in)
thus the area of the square is:
![a_{square}=(5in)^2](https://tex.z-dn.net/?f=a_%7Bsquare%7D%3D%285in%29%5E2)
![a_{square}=25in^2](https://tex.z-dn.net/?f=a_%7Bsquare%7D%3D25in%5E2)
Area of the triangles:
the are of 1 triangle is given by
![a_{triangle} =\frac{b*h}{2}](https://tex.z-dn.net/?f=a_%7Btriangle%7D%20%3D%5Cfrac%7Bb%2Ah%7D%7B2%7D)
where
is the base of the triangle:
(the base of the triangle is the side of the square)
and
is the height of the triangle: ![h=6in](https://tex.z-dn.net/?f=h%3D6in)
thus, the area of 1 triangle is:
![a_{triangle} =\frac{(5in)*(6in)}{2}](https://tex.z-dn.net/?f=a_%7Btriangle%7D%20%3D%5Cfrac%7B%285in%29%2A%286in%29%7D%7B2%7D)
![a_{triangle} =\frac{30in^2}{2}](https://tex.z-dn.net/?f=a_%7Btriangle%7D%20%3D%5Cfrac%7B30in%5E2%7D%7B2%7D)
![a_{triangle} =15in^2](https://tex.z-dn.net/?f=a_%7Btriangle%7D%20%3D15in%5E2)
the area of the 4 triangles is (we multiply by 4):
![a_{4-triangles}=4(15in^2)](https://tex.z-dn.net/?f=a_%7B4-triangles%7D%3D4%2815in%5E2%29)
![a_{4-triangles}=60in^2](https://tex.z-dn.net/?f=a_%7B4-triangles%7D%3D60in%5E2)
finally we add the area of the square and the area of the 4 triangles to find the total surface area:
![Surface=25in^2+60in^2](https://tex.z-dn.net/?f=Surface%3D25in%5E2%2B60in%5E2)
![Surface=85in^2](https://tex.z-dn.net/?f=Surface%3D85in%5E2)
Answer:
x = 34
Step-by-step explanation:
If it is bisected, that means the angles are equal <ABD = < CBD
The triangles are equal by SAS
That means AD = CD
2x+30 = 3x-4
subtract 2x from each side
2x+30 -2x = 3x-4 -2x
30 = x-4
Add 4 to each side
3x+4 = x-4+4
34 =x
Answer:
x > 77
Step-by-step explanation:
According to order of operations rules, we must carry out division before addition or subtraction. In this case we wish to isolate x and are permitted to simplify the inequality by combining the "like terms" 3 and 8, as follows:
X/7-3>8
+3 +3
--------------
x/7 > 11
The easiest way in which to solve for x is to multiply both sides of this inequality by 7:
7(x/7) > 7(11), or
x > 77
All numbers greater than 77 are part of the solution set.
Answer:
Hello!!
If Ethan has a collection of 1,500 pennies, and of these pennies, 15% are dated before 1980, 45% are dated from 1980 to 2000, and the rest are dated after 2000
There are 600 pennies in Ethan's collection dated after 2000
Step-by-step explanation:
×
pennies
×
pennies
×
pennies
![45 + 15=60\\100-60=40](https://tex.z-dn.net/?f=45%20%2B%2015%3D60%5C%5C100-60%3D40)
Hope this helps!!
Answer:
27.7
Step-by-step explanation:
130%=1.3
1.3x=36
x=27.7