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Artist 52 [7]
2 years ago
12

The planetarium, which is not marked on the map, is halfway between the historic village and the science center. What are its co

ordinates?
Mathematics
1 answer:
lutik1710 [3]2 years ago
6 0
As I have seen this question before:

Coordinates of historic village: (-4 1/2 , 5 1/2)
Coordinates of science center: (-4 1/2 , -1 3/4)

To find the midpoint, we use:
((x₂ + x₁)/2) , (y₂ + y₁)/2) 
= ( (-4 1/2 + -4 1/2)/2 , (-1 3/4 + 5 1/2) / 2)
= ( -4 1/2 , 1 7/8)
You might be interested in
If speed varies inversely as the time it takes to drive and Kris takes 5 hours driving at 55 mph, what speed will Martin need to
Fudgin [204]

Answer:

<em>55mph . None of the options are correct </em>

Step-by-step explanation:

If the speed varies inversely as the time it takes to drive, then v ∝ 1/t. where;

v is the speed

t is the time taken

Hence;

v = k/t with k being the constant of proportionality.

Since it takes Kris 5 hours when driving at 55 mph, we will substitute v = 55mph and t = 5 hours. into the equation above to get the value of k as shown:

55 = k/5

Cross multiply

k = 55*5

k = 275

Hence, to calculate the speed it will Martin to  drive for 5 hours, we will substitute k = 275 and t = 5 into the original equation v = k/t  as shownl

v = 275/5

v = 55 mph

<em>Hence, we can conclude that Martin will also need to drive at a speed of 55mph if he wants to take 5hours.</em>

3 0
2 years ago
What expression represents the value of v?
HACTEHA [7]

Answer

I think it is 2 or 3

Hope this helps :/

4 0
2 years ago
Read 2 more answers
How do i solve this?
kolbaska11 [484]
⇒ x³y⁴ × x⁵y³
⇒ x³⁺⁵y⁴⁺³
⇒ x⁸y⁷

In short, Your Answer would be x⁸y⁷

Hope this helps!
6 0
2 years ago
Read 2 more answers
If 14x = 14−−√13, what value of x makes this equation true?
maxonik [38]

Answer:

x = 26.89352

Step-by-step explanation:

1. remove parenthesis

2. divide both sides by 14

7 0
2 years ago
A football filters that is 60 m wide and 110 m long is being paved over to make a parking lot. The builder ordered 660,000,000 c
ad-work [718]
The answer is 10 cm

Imagine cement cover as a rectangle which volume is 660,000,000 cm3. So this rectangle has width (w = 60m), length (l = 110m), and height (h = ?). The height of the rectangle is actually a thickness of the cement layer. So, we will use the formula for the volume (V) of the rectangle to calculate the thickness:
V = w · l · h

It is given:
V = 660,000,000 cm³
w = 60 m = 60 · 100 cm = 6,000 cm
l = 110 m = 110 · 100 cm = 11,000 cm
h = ?

Using the formula: V = w · l · h
660,000,000 = 6,000 · 11,000 · h
660,000,000 = 66,000,000 · h
⇒ h = 660,000,000 ÷ 66,000,000 = 10 cm
4 0
2 years ago
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