Answer:
They're all rational numbers.
Integers: A whole number
Natural numbers: positive integers
Rational numbers: Any integer, positive or negative, including fractions
Irrational numbers: number that cannot be written as a ratio of two integers
9514 1404 393
Answer:
72 kph
Step-by-step explanation:
The first sentence tells you the speeds are proportional. So, you can write the proportion ...
kph/mph = 120/75 = x/45
Multiplying by 45 gives x:
x = (45)(120/75) = 72
72 kph is 45 mph.
If by "long leg lengths" you mean the hypotenuse then the area is 116 sq. units. If you mean the bases of the triangles then the area is 170 sq. units.
If the length of 12 is the hypotenuse, we first must find the base of the triangles using the Pythagorean theorem:
10² + b² = 12²
100 + b² = 144
b² = 44
b = √44 = 6.6
This means we have two triangles and a rectangle. The area of the rectangle is 5(10) = 50 sq. units. The area of each triangle is 1/2(6.6)(10) = 33. Adding all 3 together we have:
50+33+33 = 116 sq. units.
If the 12 is the base, then we have the rectangle with the area of 5(10) = 50 and two triangles each with an area of 1/2(12)(10) = 60:
50+60+60 = 170 sq. units.
22.9 is the closest but not exact. It was probably rounded off.
I used the formula: leg^2+leg^2=hypotenuse^2
(You can use that formula for any right triangle.)
Let w be the number of weeks. He withdraws $25 per week, so in w weeks, he withdraws 25w. He starts with $500, so after w weeks he has 500 - 25w. He wants this amount to be at least $200. "At least" means "greater than or equal to."
500 - 25w >= 200
-25w >= -300
w <= 12
Answer: Keith can withdraw $25 per week for at most 12 weeks.
