Answer:
The number 1.256 is A)rational number.
Step-by-step explanation:
- A whole number is a non-negative number without any digits behind the decimal.
- An integer is a set of negative and non negative numbers that don't have any digits behind the decimal.
- A number that can be shown as a fraction of two whole numbers is a rational number.And the numbers that are not rational are irrational numbers.
- Here, 1.256 is a fraction of whole numbers 1256 and 1000 , so it is a rational no.
- But since it has digits behind the decimal it is neither a whole number, or an integer.
We assume the composite figure is a cone of radius 10 inches and slant height 15 inches set atop a hemisphere of radius 10 inches.
The formula for the volume of a cone makes use of the height of the apex above the base, so we need to use the Pythagorean theorem to find that.
h = √((15 in)² - (10 in)²) = √115 in
The volume of the conical part of the figure is then
V = (1/3)Bh = (1/3)(π×(10 in)²×(√115 in) = (100π√115)/3 in³ ≈ 1122.994 in³
The volume of the hemispherical part of the figure is given by
V = (2/3)π×r³ = (2/3)π×(10 in)³ = 2000π/3 in³ ≈ 2094.395 in³
Then the total volume of the figure is
V = (volume of conical part) + (volume of hemispherical part)
V = (100π√115)/3 in³ + 2000π/3 in³
V = (100π/3)(20 + √115) in³
V ≈ 3217.39 in³
The kangaroo's speed in feet per second is 58.67 feet per second
<h3>What was the kangaroo's speed in feet per second?</h3>
The speed is given as:
Speed = 40 mph
Rewrite properly as
Speed = 40 miles per hour
1 mile = 5280 feet
So, we have
Speed = 40 * 5280 feet per hour
Evaluate
Speed = 211200 feet per hour
1 hour = 3600 seconds
So, we have:
Speed = 211200 feet per 3600 seconds
Evaluate the quotient
Speed = 58.67 feet per seconds
Hence, the kangaroo's speed in feet per second is 58.67 feet per seconds
Read more about speed at:
brainly.com/question/4931057
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- Sample space = {TT, HH, TH, HT} where T is tail and H is head.
- Number of outcomes = 4
- The probability of getting two heads on tossing two coins
<u>Answer</u><u>:</u>
<u>D)</u><u> </u><u>2</u><u>5</u><u>%</u>
Hope you could understand.
If you have any query, feel free to ask.
