Answer: true
Step by step-
Answer:
k = 13
Step-by-step explanation:
20 ^ k / 20^4 = 20^9
knowing the laws of exponents, diving two numbers of the same base with exponents is like subtracting the exponents, so
k^x / k^y
= k ^ (x - y)
apply that knowledge here
20 ^ k / 20 ^ 4 = 20 ^ 9
20 ^ ( k - 4 ) = 20 ^ 9
now the bases have no use here so ignore them, and just calculate the exponents
k - 4 = 9
solve using inverse operations
k - 4 = 9
+4 +4
k = 13
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
Answer:
8 >= x + y
<em><u>Hope I helped! Have a nice day! Plz mark as brainliest!!! :D</u></em>
<em><u>-XxDeathshotxX</u></em>
<span>Use Division or Long Division (ignoring the decimal point)<span>Then put the decimal point in the same spot as the dividend (the number being divided)</span></span>