a. Always
b. Sometimes
c. Never
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.
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.
To learn more about the speed visit:
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Answer:
Options A, D
Step-by-step explanation:
The way that we will be checking if these 3 numbers can represent a triangle is by checking if a + b ≥ c. That means that the first two sides have to be greater than or equal to the third side.
Step 1: Determine if Option A is a triangle
10 + 16 = 26 <- 26 is less than 27 that means that it cannot form a triangle.
Step 2: Determine if Option B is a triangle
14 + 28 = 42 <- 42 is greater than 39 which means that these three numbers can form a triangle.
Step 3: Determine if Option C is a triangle
12 + 27 = 39 <- 39 is equal to 39 which means that these three numbers can form a right triangle.
Step 4: Determine if Option D is a triangle
8 + 22 = 30 <- 30 is less than 31 meaning that these three numbers can't form a triangle.
Answer: Options A, D
To determine if a set of numbers can represent the sides of a triangle, we need to check if the sum of the lengths of any two sides is greater than the length of the third side. Two sets of numbers that could not represent the sides of a triangle are 1, 2, 3 and 4, 5, 9.
In order for three numbers to represent the sides of a triangle, the sum of the lengths of any two sides must be greater than the length of the third side, which is known as triangle inequality. Let's consider the options:
Therefore, the sets of numbers that could not represent the sides of a triangle are 1, 2, 3 and 4, 5, 9.
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y=-2
-8x-4y+x
Answer:
-34
Step-by-step explanation:
first do substitution: -8 · 6 + -4 · -2 + 6
next do the multiplication: -48 + 8 + 6
add: -34
hope this helps!!!
Answer:
-34
Steps:
-8x - 4y + x
-8x + x = -7x (combine like terms)
-7x - 4y
-7(6) - 4(-2) (plug in the numbers)
-42 +8=
-34
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