Pythagorean theorem
the shadow legnth=bottom leg
legnth from top of tower to end of shadow=hypotounuse
height of tower=vertical leg
a^2+b^2=c^2
a and b are legs
c=hypotonuse
11^2+b^2=61^2
121+b^2=3721
minus 121 both sides
b^2=3600
sqrt both sides
b=60
height of toer is 60 feet
Answer:
X = 13
y= 54
Step-by-step explanation:
9x-7=7x+19 (vertical opposite angle)
9x-7x=19+7
2x=26
X=13°
now ,
(9x-7)= 9x13-7=110
(9x-7)+(y+16)=180 sum of the straight angle
110+y+16=180
y=54
The lateral area of the prism is given by:
LA=[area of the two triangles]+[area of the lateral rectangles]
hypotenuse of the triangle will be given by Pythagorean:
c^2=a^2+b^2
c^2=6^2+4^2
c^2=52
c=sqrt52
c=7.211'
thus the lateral area will be:
L.A=2[1/2*4*6]+[6*8]+[8*7.211]
L.A=24+48+57.69
L.A=129.69 in^2
The total are will be given by:
T.A=L.A+base area
base area=length*width
=4*8
=32 in^2
thus;
T.A=32+129.69
T.A=161.69 in^2
I have no idea at all man I’m so sorry your math sucks
Answer:
The second possible answer is the correct one.
Step-by-step explanation:
The second possible answer is the correct one. As x increases, 4^x increases exponentially. However, in this case there's a negative sign in front of 4^x, so we know that the graph follows an exponential trajectory downward. Also note that 4^0 = 1, so 1 - 4^x = 0 at x = 0.
