8 = 2*2*2
9=3*3
We are finding the least common multiple
LCM = 2*2*2*3*3
LCM = 72
Sam and Carlos have each knocked down 72 pins
Answer:
The exponent is negative
The exponent represents the number of places the decimal moves
The decimal moves to the right
Step-by-step explanation:
<span>Let
CP ------> cost price
SP ------> Selling price
we know that
SP= CP + 0.45CP
Mark up = 0.45CP
Ratio of Mark up to Selling price-------> 0.45CP/(CP + 0.45CP)
= 0.45/(1+0.45)-------> </span><span>0.45/1.45=0.3103
</span><span>0.3103 multiplied by 100 = 31.03%
</span>
the answer is
31.03%
Answer:
20.78feet
Step-by-step explanation:
The question made us to understand that the man is standing and also there is angle of elevation, then we need to draw a right triangle having a base equal to 36 feet with an angle from the base to the top of the pole which is 30 degrees.
tan= opposite side / adjacent side
Let height of the pole =h
Tan(30)= h/36
But tan 30degree= 1/√3
h= 36 × 1/√3
h= 20.78feet
Therefore, the height of the pole= 20.78feet
CHECK THE ATTACHMENT FOR DETAILED FIGURE
Answer:

Step-by-step explanation:
<u><em>Step 1:</em></u>

<u><em>Step 2:</em></u>

<u><em>Step 3:</em></u>

<u><em>Step 4:</em></u>
Adding
to both sides to complete the square

<u><em>Step 5:</em></u>

<u><em>Step 6:</em></u>
Taking square root on both sides
