9514 1404 393
Answer:
3 ft
Step-by-step explanation:
The post is 4/24 = 1/6 as tall as the streetlight, so we expect its shadow to be 1/6 as long as that of the streetlight:
(1/6)(18 ft) = 3 ft
The parking meter post shadow is 3 feet long.
Answer: add 4.75 to both sides, 12.35+ 4.75 = 17.10
Step-by-step explanation:
For both of these, the total she had before the smoothie can be found by adding the cost of the smoothie back to the amount she has left.
Answer:
+ 1
Step-by-step explanation:
Given
x² + 2x
Using the method of completing the square
add ( half the coefficient of the x- term)² to x² + 2x
= x² + 2(1)x + 1²
= x² + 2x + 1
= (x + 1)² ← perfect square
There are 120 ways in which 5 riders and 5 horses can be arranged.
We have,
5 riders and 5 horses,
Now,
We know that,
Now,
Using the arrangement formula of Permutation,
i.e.
The total number of ways
,
So,
For n = 5,
And,
r = 5
As we have,
n = r,
So,
Now,
Using the above-mentioned formula of arrangement,
i.e.
The total number of ways
,
Now,
Substituting values,
We get,

We get,
The total number of ways of arrangement = 5! = 5 × 4 × 3 × 2 × 1 = 120,
So,
There are 120 ways to arrange horses for riders.
Hence we can say that there are 120 ways in which 5 riders and 5 horses can be arranged.
Learn more about arrangements here
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Answer:
Moving the decimal 3 places to the right in a decimal number is the same as multiplying the number by 1000.