PLZ HELP!! need this asap!
1 answer:
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So this is essentially a proportion problem. They want you to be able to recognize a relationship between the two. The easiest way to go about this is to draw a picture (I have included one). What you want to do is notice that you are given both shadow lengths. This is essentially going to be your first step to creating the proportion.
Understanding that we know the shadow lengths, we can turn these into a fraction such as so:
4ft/20ft.
Now that we know that, we need to look at are unknown. Our unknown is the height of the utility pole. We can solve this by substituting for X since we know the utility worker is 5.5 ft tall.
Your fraction for that would look like:
5.5ft/X
Make sure to always make your top to top match, such as since I put the utility worker's shadow on top, I need to put his height on top.
Now we can solve.
4ft/20ft =5.5ft/X
We need to cross multiply to get an equation we can work with. If we cross multiply, Your equation will look like:
4x = 110ft
This is a simple one step equation. Divide both sides by 4 to get your answer.
x= 27.5ft.
This means your Utility pole's height is 27.5ft.
Answer:
The amount invested as certificates of deposit is $ 35,000 and The amount invested as bonds is $ 41,000
Step-by-step explanation:
Given as :
The total amount to be invested as bonds and certificates of deposit (CD) = $76,000
Let the amount invested as bonds = $ x + $6000
And The amount invested as CD = $ x
Now, According to question
The amount invested as CD + The amount invested as bonds = $ x + $ x + $6000
Or, $ x + $ x + $6000 = $76,000
Or, $ 2x = $76,000 - $6000
So, $ 2x = $70,000
∴ x = = $ 35,000
And $ x + $6000 = $ 35,000 + $6000 = $ 41,000
Hence The amount invested as certificates of deposit is $ 35,000 and The amount invested as bonds is $ 41,000 Answer