Answer:
The answer is 44.80 degrees
Step-by-step explanation:
First you want to find z
z = 180-(52+90)=38
and then try to determine which formula will try to give you x = Tan
Tan = Opposite/ Adjacent
Tan(38)=35/x
x=35/Tan(38)
x=44.80
Answer: second Congress
Step-by-step explanation:
Short and sweet
A. T. S.A =2* AREA OF TRIANGLE +PREIMETER*5.56
VOLUME=AREA OF *LENGTH[ 5.56]
B. T. S. A=πR{R + SLANT HIGHT }
VOLUME=1/3*π*R*HIGHT{ 7 }
volume of a sphere is 3 by 4 by R cube and surface area of a sphere is 4 Pi R Square
Well...it says the sum of the angles measure 360...so lets set them equal to 360
40 + x - 10 + 1/3x + x - 20 = 360...combine like terms
2 1/3x + 10 = 360
7/3x = 360 - 10
7/3x = 350
x = 350/(7/3)
x = 350 * 3/7
x = 1050/7
x = 150 <=====
Let h = height of triangle
h^2 + 12^2 = 15^2
h^2 + 144 = 225
h^2 = 225 - 144
h^2 = 81
sqrt{h^2} = sqrt{81}
h = 9 cm
For part B, we need to find surface area because it represents the perimeter of this 3-D figure. The formula needed is SA = B + LA.
1. First find the lateral area.
LA = perimeter of triangle • height
LA = ph
p = 15 + 15 + 24
p = 30 + 24
p = 54 cm
LA = (54)(9)
LA = 486 cm^2
2. We now find the base of each triangle. This is found by finding the area of each triangle and multiplying by 2.
A = (1/2)bh
A = (1/2)(24)(9)
A = 108 cm^2
A = 2•108 cm^2
A = 216 cm^2 = our B in the surface area formula.
SA = B + LA
SA = 216 cm^2 + 486 cm^2
SA = 702 cm^2
The amount of cardboard needed is 702 cm^2.
