Answer:
The correct option is 3. The green figure is similar to the 9 by 6 figure.
Step-by-step explanation:
Let a small square represents 1 unit.
From the given figure it is noticed that
1. The dimensions of red figure is 4 by 3.
2.The dimensions of brown figure is 4 by 6.
3.The dimensions of green figure is 2 by 3.
3.The dimensions of purple figure is 3 by 6.
The dimensions of given figure is 9 by 6. The proportion of its dimensions is

The corresponding sides of two similar figure are proportional. It means the ration of sides must be
.
The dimensions of green figure is 2 by 3. It means the proportion of its dimensions is
.
Therefore the correct option is 3. The green figure is similar to the 9 by 6 figure.
<span>As restaurant owner
The probability of hiring Jun is 0.7 => p(J)
The probability of hiring Deron is 0.4 => p(D)
The probability of hiring at least one of you is 0.9 => p(J or D)
We have a probability equation:
p(J or D) = p(J) + p(D) - p(J and D) => 0.9 = 0.7 + 0.4 - p(J and D)
p(J and D) = 1.1 - 0.9 = 0.2
So the probability that both Jun and Deron get hired is 0.2.</span>
Answer:
Volume= 2.92cubic yard
Step-by-step explanation:
Converting to ft
23ft9inches= 23+(9/12)=23.75ft
10ft 1 in= 10 +(1/12)= 10.083ft
4 inches= (4/12)=0.333ft
Volume= L×W×H
Volume= 23.75 × 10.083×0.33= 79.02ft^3
Converting to cubic yard
1 cubic foot= 0.037 cubic yard
79.02 cubic feet= 0.037× 79.02= 2.92cubic yard
Answer:
Given Polynomial:

Factors of Coefficient of terms
80 = 5 × 16
32 = 2 × 16
48 = 3 × 16
Common factor of the coefficient of all term is 16.
Each term contain variable. So the Minimum power of b is common from all terms.
Common from all variable part comes b².
So, Common factor of the polynomial = 16b²
⇒ 16b² ( 5b² ) - 16b² ( 2c³ ) + 16b² ( 3b²c )
⇒ 16b² ( 5b² - 2c³ + 3b²c )
Therefore, Statements that are true about David's word are:
The GCF of the coefficients is correct.
The variable c is not common to all terms, so a power of c should not have been factored out.
In step 6, David applied the distributive property