Answer:
D)5.1,7,2.3
Step-by-step explanation:
the measures of side lengths for a triangle :
any two sides added up must be bigger than the measure of the third side
and any two sides' difference must be smaller than the third side.
Answer:
13. PS = 21.37
14. 68.74°
Step-by-step explanation:
13. QS/39 = tan 28
QS = 39 tan 28
sin 76 = QS/PS
PS sin 76 = QS
PS = QS/sin 76
= 39 tan 28/sin 76
= 21.37
14. tan 47 = BD/18
BD = 18 tan 47
cos CDB = 7/BD
= 7/(18 tan 47)
m∠CDB = arccos [7/(18 tan 47)
= arccos .362644...
= 68.74°
Answer:
x = -3, y = 24
Step-by-step explanation:
y=−7x+3;y=−8x
Step: Solve y=−7x+3 for y:
y=−7x+3
Step: Substitute−7x+3 for y in y=−8x:
y=−8x
−7x+3=−8x
−7x+3+8x=−8x+8x(Add 8x to both sides)
x+3=0
x+3+−3=0+−3(Add -3 to both sides)
x=−3
Step: Substitute−3 for x in y=−7x+3:
y=−7x+3
y=(−7)(−3)+3
y=24(Simplify both sides of the equation)
Solution:
<u>First, let's find the surface area of the triangular prism.</u>
- 2(1/2 x 8 x 12) + 2(10 x 6) + (12 x 6) = Surface area of triangular prism
- => (8 x 12) + 2(60) + (72) = Surface area of triangular prism
- => (96) + 120 + 72 = Surface area of triangular prism
- => 96 + 192 = Surface area of triangular prism
- => 288 ft² = Surface area of triangular prism
<u>Now, let's find the surface area of the rectangular prism.</u>
- 2(18 x 9) + 2(6 x 9) + 2(6 x 18)
- => 2(162) + 2(54) + 2(108)
- => 324 + 108 + 216
- => 2(324) = 648 ft²
<u>Now, add both the surface areas to find the surface area of the figure.</u>
- 288 + 648 = Surface area of figure
- => 936 ft² = Surface area of figure
The surface area of the figure is 936 ft².
Answer:
the answer is 12pie
Step-by-step explanation:
6mm is radius
circumference is ×2
so its 12
