Answer:
4y( 4xy + 7x +2)
Step-by-step explanation:
16xy^2+28xy+8y
16xy^2 =2*2*2*2*x*y*y
28xy = 2*2*7 *x*y
8y = 2*2*2*y
The common factors are 2*2*y = 4y
2*2*2*2*x*y*y + 2*2*7 *x*y+2*2*2*y
2*2*y( 2*2*x*y + 7 *x+2)
4y( 4xy + 7x +2)
The probability that you lose all five times will be 0.59.
<h3>How to calculate the probability?</h3>
From the information given, the chances of winning are 0.1. Therefore, the chance of losing will be:
= 1 - 0.1 = 0.9
Therefore, the probability that you lose all five times will be:
= 0.9 × 0.9 × 0.9 × 0.9 × 0.9
= 0.59
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Answer:
CE = 17
Step-by-step explanation:
∵ m∠D = 90
∵ DK ⊥ CE
∴ m∠KDE = m∠KCD⇒Complement angles to angle CDK
In the two Δ KDE and KCD:
∵ m∠KDE = m∠KCD
∵ m∠DKE = m∠CKD
∵ DK is a common side
∴ Δ KDE is similar to ΔKCD
∴ 
∵ DE : CD = 5 : 3
∴ 
∴ KD = 5/3 KC
∵ KE = KC + 8
∵ 
∴ 
∴ 
∴ 
∴ 
∴ KC = (8 × 9) ÷ 16 = 4.5
∴ KE = 8 + 4.5 = 12.5
∴ CE = 12.5 + 4.5 = 17
Answer:
hector's toy
Step-by-step explanation:
it traveled .02 m farther