Answer:
x=8°
y=29°
Step-by-step explanation:
vertically opposite angles are equal
so 5x+9°=y+20°
therefore 5x-y=11°
Alternate angles are equal
so 4x+17°=y+20°
therefore 4x-y=3°
equation 1....... 5x-y=11°
equation 2......4x-y=3°
using elimination method x=8°
y=29°
Answer:
0,1
Step-by-step explanation:
x^2 − x = 0
Factor out an x
x(x-1) =0
Using the zero product property
x=0 x-1=0
Solving each equation
x=0 x-1+1 =0+1
x=0 x=1
The solutions are
x=0,1
Answer:
270 yds squared
Step-by-step explanation:
You need to area of each of the shapes that make up the triangular prism. So, the side triangles, the back rectangle, the bottom rectangle and the top rectangle.
Side triangle (1x): base*height/2
12*5/2
60/2
30 yds, 60 yds for both sides.
Back rectangle: length*width
5*7
35 yds
Bottom Rectangle: length*width
7*12
84 yds
Top rectangle: length*width
7*13
91 yds.
To get the final answer, you add the surface areas together to get the final amount of yards: 30+30+35+84+91= 270 yds squared. Hope this helps.
You didn't provide more information regarding triangle but from given options, it seems that triangle has ratio from shortest side to longest side would be 5 : 12 : 13
So 13 would be hypotenuse since it is longest.
Now A cannot be right angle because tangent is not defined at 90°.
Also tan(A) would be ratio of opponent side to adjacent side (think SOH CAH TOA)
So either opposite side would be 5 or 12, and adjacent side would be 12 or 5 respectively.
So the answer is either 5 / 12 or 12 / 5 but only option provided is 12/5 so that would be your answer.
Final answer: 12 / 5
Answer:
6,000
Step-by-step explanation:
200,000 * 0.03 = 6,000
