Answer:
The number of weeks Marla will take to paint all the pots is 5 weeks and 3 days .
Step-by-step explanation:
Given as :
The number of pots Marla will paint = 48 pots
The number of pots she plans to paint each week = 9 pots
Let The number of weeks Marla needs to paints all pots = n weeks
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<u>Now, According to question</u>
The number of weeks = 
Or , n = 
∴ n = 5.3
So The number of weeks = n = 5 weeks and 3 days
Hence The number of weeks Marla will take to paint all the pots is 5 weeks and 3 days . Answer
The slope:
m = ( y2 - y1 ) / ( x2 - x1 ) = ( 8 2 ) / ( 3 - 2 ) = 6 / 1
m = 6 ( we have the same slope for AB and A`B` )
AB = √[( 3 - 2 )² + ( 8 - 2 )²] = √37
A`B` = 3.5 √37 = 21.29
The value of r is 26(approximately).
Answer:
25 cent stamps = 13 and 29 cent stamps = 15
Step-by-step explanation:
x = 25 cent stamps and y = 29 cent stamps
x + y = 28......x = 28 - y
0.25x + 0.29y = 7.60
0.25(28 - y) + 0.29y = 7.60
7 - 0.25y + 0.29y = 7.60
-0.25y + 0.29y = 7.60 - 7
0.04y = 0.60
y = 0.60 / 0.04
y = 15 <===== 29 cent stamps
x + y = 28
x + 15 = 28
x = 28 - 15
x = 13 <===== 25 cent stamps
lets check it...
0.25x + 0.29y = 7.60
0.25(13) + 0.29(15) = 7.60
3.25 + 4.35 = 7.60
7.60 = 7.60 (correct..it checks out)
Step-by-step explanation:
right-angled triangle, and law of sine (for any type of triangles) :
a/sin(A) = b/sin(B) = c/sin(C)
where the sides and the correlated angles are always opposite from each other.
and we know that the sum of all angles in a triangle is always 180°.
so, the angle at the foot of the radio tower is 90°.
the angle from the top of the shadow to the top of the tower is 78.5°.
so, the third angle (at the top of the tower) is
180 - 90 - 78.5 = 11.5°
and with the law of sine we get
height/sin(78.5) = 64/sin(11.5)
height = 64×sin(78.5)/sin(11.5) = 314.57005... ft
