The sun is currently at a 35-degree angle above the horizon. A tree casts a 32-foot shadow. How tall is the tree?
1 answer:
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Answer:
-3/2, -1
Step-by-step explanation:
Each coordinate contains one value and one
value,
.
If we work out the midpoint of each of these individually, it makes it much easier to find the midpoint of the line.
Let's take the values first. Our first
value is -4 and our second
value is 1. Imagine the integers between -4 and 1 laid out in a sequence:
If you take the middle value of this sequence, you get the midpoint of the values.
In this case, the middle is between values -2 and -1, leaving us with a midpoint of -1.5. This as a fraction is .
Now let's look at the values. Our first
value is 2 and our second
value is -4. Again, let's imagine those numbers laid out in a sequence:
Here, the middle of these values is -1, and this is the midpoint of the values.
So if we put these two values in a coordinate, we get the midpoint of the line.
In this case, we get .
Missing part of question
(a) If all matching cards will increase her score by 18, what are the matching cards
(b) If all matching cards will decrease her score by 12, what are the matching cards
See attachment for cards
Answer:
(a) 9 card number 2 or 6 card number 3
(b) 6 card number -6
Step-by-step explanation:
Given
The number on the cards are: 2, 3, -6 and 4
Solving (a): An increment of 18
From the card numbers attached, there are 3 positive numbers and 1 negative number
If any of the card numbers is to increase her score, then the card number must be positive. So, we have: card numbers 2, 3 and 4 that fit in this category.
Next, for a card number to give an increment of 18; the card number must be a factor of 18.
So, we have:
Only 2 and 3 are factors of 18.
So, Natalie cards are: 9 card number 2 or 6 card number 3
Solving (b): A decrement of 12
If any of the card numbers is to decrease her score, then the card number must be negative. So, we have: card -6 that fit in this category.
Next, is to check if -12 is divisible by -6 (-12 means decrement of 12)
So, we have:
<em>So, Natalie cards are: 6 card number -6</em>
