Help plz i have only tonight 11;59
1 answer:
Answer:
Base = 16, height 64
Step-by-step explanation:
It's a triangle so u have to multiply it with 1/2 or divide by 2, x will equal both height and base:
(1/2)4x^2 = 512
Multiply 2 to both sides
4x^2 = 1024
divide both sides by 4
x^2 = 256
=
x = 16, base is 16 and height is 16(4) = 64
Alright this took me some time but I got it now, u might think why 16 and 64? 16 times 64 is not 512, but the equation for a triangles area is or b·h·1/2 , so if u plug the numbers into the equation it will equal 512:
16 · 64 · 1/2= 1024 · 1/2 = 512
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There are 80 nickels and 120 dimes and 300 quarters in piggy bank
<em><u>Solution:</u></em>
Given that,
For every 2 nickels there are 3 dimes ,
So, ratio of nickel to dime will be 2 : 3
Also for every 2 dimes there are 5 quarters
So, ratio of dime to quarters is 2 : 5
Let us first find the ratio of nickles to dimes to quarters
nickel : dime = 2 : 3
dime : quarters = 2 : 5
So,
Thus nickel : dime : quarters = 4 : 6 : 15
Now, let the number of nickel be 4x
Let the number of dimes be 6x
Let the number of quarters be 15x
From given question,
There are 500 coins in all.
number of nickel + number of dimes + number of quarters = 500
4x + 6x + 15x = 500
25x = 500
x = 20
Thus,
number of nickel = 4x = 4(20) = 80
number of dimes = 6x = 6(20) = 120
number of quarters = 15x = 15(20) = 300
Thus there are 80 nickels and 120 dimes and 300 quarters in piggy bank