An architect is drafting plans for a new supermarket. There will be a space 144 inches long for rows of NESTED shopping carts (T
hink how you "stack" the shopping carts).
The first cart is 34 inches long and each nested cart adds another 10 inches. The architect wants to know how many shopping carts will fit in each row.
(just type the number you get, you don't need to label it)
The first cart is 34 inches long and each nested cart adds another 10 inches. The architect wants to know how many shopping carts will fit in each row.
(just type the number you get, you don't need to label it)
2 answers:
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Answer:
A
Step-by-step explanation:
Using the definition
n =
where n! = n(n - 1)(n - 2).... × 3 × 2 × 1
Then evaluating numerator and denominator
10
=
=
Cancel 7(6)(5)(4)(3)(2)(1) on numerator/ denominator, leaving
= =
= 120
-------------------------------------------------------------------------------------
6
=
=
Cancel 4(3)(2)(1) on numerator/ denominator, leaving
=
= 15
-------------------------------------------------------------------------------------
Dividing numerator by denominator gives
= 8 → A
Answer:
Step-by-step explanation:
For this exercise you need to apply the Pythagorean Theorem. This is:
Where "h" is the hypotenuse of the Right triangle and "l" and "m" are the legs.
In this case, you can identify that:
Knowing these values, you can substitute them into :
Now you must solve for "c":
Evaluating, you get:
To simplify the result:
- Descompose 32 into its prime factors:
- By the Product of powers property, you know that:
- Make the substitution:
- Finally, knowing that , you get:
Answer:
Therefore the co-ordinate of the point on the line segment from (-9,-1) to(-9,-10) into a ratio internally is (-9,-7).
Therefore the co-ordinate of the point on the line segment from (-9,-1) to(-9,-10) into a ratio internally is (-9,-19).
Step-by-step explanation:
Given points are (-9,-1) and (-9,-10)
If a point divides the line segment by joining two points (x₁,y₁) and (x₂,y₂) into a ratio m:n internally.
Then the point of the coordinate is .
If a line segment is externally divided into a point by joining two points (x₁,y₁) and (x₂,y₂) with m: n ratio.
Then the point of the coordinate is .
Internally
The co-ordinate of the point is
Externally
The co-ordinate of the point is
= (-9,-19)