Answer:
The length of the longer side is 2√2/3
Step-by-step explanation:
A 45-45-90 triangle is a right-angled triangle.
In fact, since it has two angles equal, it is a right angled isosceles triangle. What we are saying is that two of its sides are equal.
Hence, we have two short sides which are the opposite and the adjacent and a longer side which is the hypotenuse
Thus, to find the length of the longer side, we employ Pythagoras’ theorem and it states that the square of the hypotenuse equals the sum of the squares of the two other sides;
Mathematically, let’s call the longer side x
so x^2 = (2/3)^2 + (2/3)^2
x^2 = 4/9 + 4/9
x^2 = 8/9
x = √(8/9)
x = 2√2/3
Answer:
$C = 0.30(m) + 15
C is bill cost
m is number of minutes used
Step-by-step explanation:
In this question, we are asked to write an equation that estimates the bill cost of Maggie’s phone bills.
We proceed as follows;
Now, let’s try and find the base fee.
We can calculate this using her bill for September.
Mathematically;
Bill = (Cost per minute * total minutes) + Base fee
Here, $0.30 per minute for 120 minutes will yield a total of 120 * 0.3 = $36
This means the base fee would be $51-$36 = $15
Now let’s say the bill is $C, and the number of minutes used is m
Mathematically;
$C = 0.30(m) + 15
Answer:
<h2><u><em>
432 cm³</em></u></h2>
Step-by-step explanation:
The volume of a prism =Base Area× Height.
6 * 9 * 8 =
54 * 8 =
432 cm³
Answer:
$4918
Step-by-step explanation:
first income must be divided according to tax bracket
2% tax on first 3000 income= 2% of $3000=$60
3% tax on income after first 3000 but upto 5000= 5000-3000= $2000
=3% of 2000= $60
5% tax on income after second 5000 but upto 12000= 17000-5000
=12000 5% of $12000= $600
Lastly, 5.75% income over 17000=
90000-17000= $73000 so, 5.75 % of 73000= $4197.5
tax= $60+60+600+4197.5
= $4917.5
= $4918
