<h3>
Answer: 320 square meters</h3>
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Explanation:
The scale factor 4 means the dimensions of the second rectangle are 4 times larger.
The width of 4 meters bumps up to 4*4 = 16 meters.
The length of 5 meters becomes 4*5 = 20 meters.
So a 4 by 5 rectangle is similar to a 16 by 20 rectangle.
The area of the second rectangle is therefore 16*20 = 320 square meters.
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As an alternative, you can compute the area of the 4 by 5 rectangle to get 4*5 = 20. Then multiply this with 4^2 = 16 to get 16*20 = 320.
The 4^2 = 16 multiplier is the result of squaring the scale factor.
So if you know the dimensions have been multiplied by 4, then the area has been multiplied by 16.
Answer:
The multiples of 4 are: 4,8,12,16,20,24,28,32,36,40,44,.
Step-by-step explanation:
so no
When the base is the same, and it is a ÷, subtract the exponents (if it is a ×, add the exponents):
-11/3-(-2/3)=-9/3=-3
4^(-3)=1/4³=1/64
the first choice is correct.
This is a case of joint probability: you want to know what the odds are of this event AND that event occurring. For a joint probability, the formula is usually given as:
P(A and B)=P(A)*P(B)
where P(A) is the probability of event A happening, P(B) is the probability of event B happening, and P(A and B) is the probability of both happening.
For this problem, let's say that event A is the probability that the spinner stops at the green color. Since the spinner has 3 colors and they have equal area (sector) occupied in the circle, each color has the same chance, 1/3 chance of being picked. Thus, there's a 1/3 chance of the spinner stopping at the green color so P(A)=1/3.
Event B is the probability of Jordan picking up the yellow card. There are six possible colors to pick and since Jordan picked up the card without peeking, each color has an equal chance to be picked. Thus, there's a 1/6 chance that the yellow card will be selected so P(B)=1/6.
Using the formula, we can then calculate P(A and B), the probability that the spinner stops at green and a yellow card is selected:
P(A and B)=P(A)*P(B)=1/3*1/6=1/18
Answer: 90 seconds or 1 min. and 30 sec.
Step-by-step explanation:
72/4=18
18x5=90
