When the pentagon is drawn to scale then its value of x will be x=3.3 cm
<h3>What is the pentagon?</h3>
The pentagon is defined as the shape having five sides connected together.
Now it is given in the question that
For small pentagone
Bottom =x
left =7 cm
For larger pentagone
Bottom=7cm
left=15cm
Now since the pentagon is actually dilated from its size to the new bigger size. It means that the equivalent ratio of both the pentagons will be equal.
For smaller pentagon
For bigger pentagon
Since both, the ratio is the same
Thus the pentagon is drawn to scale than its value of x will be x=3.3 cm
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Answer:
a. 90 pack
b. $0.27
c. $0.18
d. $0.21
e. 60 pack
Step-by-step explanation:
a. i think the 90 pack container should be having least unit rate per pack,as purchasing in bulk amount the cost of a unit should be reduced to some amount which is must to lure the customer to purchase in bulk amounts.
b. unit price = total cost of container ÷ number of individual units inside it
for 20 pack, unit rate = 5.49÷20 = $0.27
c. for 60 pack, unit rate = 10.97÷60 =$0.18
d. for 90 pack, unit rate = 18.95÷90 =$0.21
e. ∴ the 60 pack container has the least unit rate per pack which is in contrary with our expectation of 90 pack to be lowest expecting bulk order.
Answer:
Yes they are equivalent.
Step-by-step explanation:
They each represent one half.
By taking the quotients between the areas, we see that:
<h3>
How to find the probabilities?</h3>
First we need to find the areas of the 3 shapes.
For the triangle, the area is:
T = 3*5/2 = 7.5
For the blue square, the area is:
S = 3*3 = 9
For the rectangle, the area is:
R = 10*6 = 60
Now, what is the probability that a random point lies on the triangle or in the square?
It is equal to the quotient between the areas of the two shapes and the total area of the rectangle, this is:
P= (7.5 + 9)/60 = 0.275
b) The area of the rectangle that is not the square is:
A = 60 - 9 = 51
Then the probability of not landing on the square is:
P' = 51/60 = 0.85
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