Answer:
Step-by-step explanation:
This triangle is a 45-45-90 triangle.
By using the image I posted, we can find x easily.
So, we have 
as one of the sides.
They hypotenuse, which is x is just 
Simplify and we get x = 
Answer:number of children negative for chicken pox=28
Step-by-step explanation:
Number of children positive for chicken pox =18 out of 30
Therefore number of children negative for chicken pox is 12 out of 30 ie ( 30-18)
Such that the ratio of positive tested chicken pox children to negative tested chicken pox children =18:12
Therefore total ratio =18 +12=30
Suppose there are 70 children,then number of children negative for chicken pox =
12/30 x 70 =28
The problem statement is not clear regarding which money is invested. We will assume it is the 80% of $8750 that is set aside for future education. That amount is
... 0.80 × $8750 = $7000
If x represents the amount invested at 7%, then the total interest earned is
... (7000 -x)×4% + (x)×7% = 420
... 280 +0.03x = 420
... x = 140/0.03 ≈ 4666.67
$4666.67 was invested at 7%.
$2333.33 was invested at 4%.
Answer:
1) 20%
2) Choice a.
Step-by-step explanation:
1) 
is the population initially.
is the population after a year.
represents the population increase factor.
So let's evaluate that fraction:
0.2=20%
2) Let's figure out the population growth in terms of months instead of years.
We want t to represent months.
A full year is 12 months, in a full year we have that 
So we want a new P such that 
since 12 months equals a year.
Let's look at the functions given to see which gives us this:
a) 
b) 
c) 
d) 
So a is the function we want.
Also another way to look at this:
where 
is in years.
where is in months.
And 
Answer: 27cm²
Step-by-step explanation:
lets take the width as x and length as 3x( since length is 3 times the width)…
Perimeter of the rectangle is 24 cm( 2*(l+b))= 2×(3x+x):24
2×4x=24
8x=24
X( width): 24/8=3cm
Length= 3x: 3*3=9cm
Area of the rectangle: ( l*w)= 9×3: 27cm²
