A cheetah can run at top speed for only about 20 seconds. If an antelope is too far away for a cheetah to catch it in 20 seconds, the antelope is probably safe. Your friend claims an antelope running 60 feet per second will not be safe if the cheetah running at 90 feet per second is 650 feet behind it. Is your friend correct?
Answers
Your friend is not correct.
It takes the cheetah Approximately 21.67 seconds to run at 90 ft/s to reach the moving antelope.
Given that, a cheetah can run at top speed for only about 20 seconds and the top speed of a cheetah is 90 feet per second.
What is the formula to find the speed of an object?
The formula to find the speed of an object is Speed = Distance / Time.
From the given question in 20 seconds cheetah will cover a distance of:
20 × 90 = 1800 feet
In 20 seconds cheetah will cover a distance of 1800 feet.
It is given that the antelope runs 60 feet per sec
That means in 20 seconds antelope will cover a distance of:
20 × 60 = 1200 feet
In 20 seconds antelope will cover a distance of 1200 feet.
Now add the distance ran initially, because the antelope was ahead of the cheetah from 650 feet.
1200 feet + 650 feet = 1850 feet
But the maximum distance cheetah can cover is 1850 feet. Thus the antelope is still 50 ft ahead of the cheetah.
Therefore, the antelope is probably safe.
Hence, your friend is not correct.
The speed of a cheetah is 30 feet per second more than antelope.
Cheetahs need to cover 50 feet to catch antelope.
So, 50/30 =1.67 seconds
20 seconds + 1.67 second = 21.67 seconds
Therefore, it takes the cheetah approximately 21.67 seconds to run at 90 ft/s to reach the moving antelope.
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The wingspan of one butterfly is 1 9/16. The wingspan of another butterfly is 1 5/8 inches. write an inequality comparing the two wingspan
4.117x10-29
Answers
The way that the number 4117 × 10⁻²⁹ can be shown on a calculator is; 4117 × 10⁻³²
How to write a number in standard form?
The standard form of a number is a way of writing the number in a form that follows certain rules.
Now, we can also write a number in scientific notation but then a calculator usually writes these types of number with exponent powers in standard form.
For example there is usually no decimal in standard form but instead whole numbers. Thus;
4.117 × 10⁻²⁹ when expressed again can be written as;
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Read more about standard form at; brainly.com/question/19169731
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Answers
(3+5)+5×5-3∧2
Okay so do PEMDAS
Parenthesis
3+5=8
8+5×5-3∧2
Exponent
-3×-3=9
8+5×5+9
Multiply
5×5=25
8+25+9
Addition
25+9= 34
34+8=42
So the answer is 42.
~JZ
Hope it helps
Answers
For every 3.3 km rock is buried, the pressure placed upon it increased 0.1 Giga pascals.
We need to find the pressure placed on that rock at 16 km.
Let us divide 16 km by 3.3 first to find the number of 0.1 Giga pascals would be there.
16/3.3.
On dividing 16 by 3.3, we get 4.8485.
In order to find the number the pressure placed on that rock, we need to multiply 0.1 by 4.8485, we get
0.48485 Giga pascals.
Therefore, if rock undergoing metamorphosis is buried at 16 km, 0.48485 Giga pascals is the pressure placed on that rock.
Answers
The simplified form of expression is 9 (3 - 2r).
Used the concept of distributive property,
The distributive property states that an expression that is given in the form of A (B + C) can be solved as A × (B + C) = AB + AC.
Given that the expression is,
27 - 18r
Apply the distributive property on the expression and it can be written as,
27 - 18r
Since LCM {27, 18} = 9
So, take 9 as a common term,
27 - 18r = 9×3 - 9×2r
= 9 (3 - 2r)
Therefore, the solution of the expression is, 9 (3 - 2r)
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27 - 18r = 9·3 - 9·2r = 9(3 - 2r)
Answers
10 - 5 = 5
5 -
So your answer would be 4