Answer:
DE = 7.3 cm
Step-by-step explanation:
All you have to do is take the length of the full line (13.8 cm) and subtract it by the first part (6.5 cm). Doing this gets you the final length of DE with is 7.3 cm.
By definition, a rational number is a precise number: or in other terms, we know its exact value. Irrational numbers are number that has endless digits on the right of the decimal points: in other terms, we can't know its exact value.
First question:
√2.5 = 1.58113.... It's endless, so irrational.
-√64 = -8 it's a whole number, so rational.
4√5 = 8.94427.... Endless, so irrational.
√14.4 = 3.7947... Endless so irrational.
So -√64 is the rational number.
Second:
7.885 is rational because has a defined number of digits after the decimal points.
π² = 9.8696.... Endless, so irrational.
√0.144 = 0.3794.... Endless, so irrational
√91 = 9.5393.... Endless, so irrational
So 7.885 is the rational number.
Third:
-7.8 bar: You can notice the line over the 8, this means that there's an infinite number of 8 after the decimal points. So it's 7.88888888888.... Endless, so irrational.
√25 = 5, whole number so rational
25.8125 Has a definite number of digits after the decimal point, so is rational.
√0.025 = 0.1581... Endless, so irrational.
So -7.8 bar and √0.025 are irrational.
Fourth:
π= 3.1415... Endless, so irrational.
1.425 has a definite number of digits after the decimal point, so rational.
√50 = 7.0710.... Endless, so irrational
√-4 Doesn't exist. Finding the square root of a negative number is mathematically impossible.
So 1.425 is the rational number.
Fifth:
√10 = 3.1622..... Endless, so irrational.
√100 = 10, a whole number so rational.
√1000 = 31.6227..... Endless, so irrational
√100000 = 316.2277...... Endless, so irrational.
√100 is the rational number.
Hope this helps!! :D And I hope you understood the lesson a bit more xD
Answer:
Hello! answer: x = 16
Step-by-step explanation:
16 × 16 = 256
12 × 12 = 144
256 + 144 = 400
√400 = 20 therefore x = 16 hope that helps!
The set of integers that satisfy the inequality is x ∈ (-∞, 30) where x is an integer.
<h3>What is inequality?</h3>
It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
The question is incomplete.
The complete question is:
Set of integers x such that x - 5 is less than 25.
We have an inequality:
x - 5 < 25
Adding 5 both sides:
x - 5 + 5 < 25 + 5
x < 30
x ∈ (-∞, 30) where x is an integer.
Thus, the set of integers that satisfy the inequality is x ∈ (-∞, 30) where x is an integer.
Learn more about the inequality here:
brainly.com/question/19491153
#SPJ1
Answer:
4335.61
Step-by-step explanation:
Using the equation A = P (1 + r/n)^nt
lets fill in the variables,
P (principal) is 3500.00
r (rate) is .04375 - we do this in decimal form
n (number of times interest is doubled) here it is annually, could be monthly or daily too, but we are told annually, so we use 1
t (time) is 5 years
So: 3500(1+.04375/1) ^ 1(5)
pemdas
parenthesis first 1 +.04375/1 = 1.04375
exponents next 1 x 5 = 5
so now we have 3500 (1.04375) ^5
take 1.04375 to the power of 5 (pemdas) then multiplication
= 3500(1.2387465058) or
A = 4335.61
This is the same result as calculating simple interest for 5 years but each year calculating off the new Principal amount that includes interest.
3500 x .04375 = 153.125 or 3653.125 *(year one)
159.82 = 3812.95
166.82 = 3979.77
174.11 = 4153.88
181.73 = 4335.61