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TEA [102]
2 years ago
5

what is the value of the constant in the equation that relates the height and width of this rectangle

Mathematics
1 answer:
Doss [256]2 years ago
8 0

The correct answer is C. 1.5

You can find this answer by using any of the points on the graph and putting them into the given equation. Then you can solve for the constant. For the purpose of this example, we will use (10, 15)

Height = Constant * Width ---> Plug in known values.

15 = Constant * 10 ----> Divide both sides by 10

1.5 = Constant

This will work with whatever numbers you use from the graph. Although this graph does not have any others to really choose from.

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A pound of oranges costs $2 less than a pound of pears. Together, ten pounds of oranges and eight pounds of pears cost $61. How
Thepotemich [5.8K]

Let us say that:

o = cost of oranges per pound

p = cost of pears per pound

 

so that:

o = p – 2

 

Therefore:

10o + 8p = 61

10 (p – 2) + 8p = 61

10p – 20 + 8p = 61

18p = 81

p = 4.5

p = $4.5 per pound

 

So 3 pounds of pears would cost:

total cost = 3 * 4.5

total cost = $13.5

3 0
2 years ago
g A sailing ship stopped at several islands, releasing one mating pair of goats onto each one. On the large island, the goats' g
PSYCHO15rus [73]

Answer:

The goat population reaches 1000 in 12.4 years

Step-by-step explanation:

After <em>t </em>years, the number of goats is given by

N = N_0e^{bt}

where N_0 is the initial number of goats and <em>b</em> is the per capita growth rate.

From the question,

  • N_0 = 2
  • <em>b</em> = 0.5
  • <em>N</em> = 1000

1000 = 2e^{0.5t}

e^{0.5t} = 500

0.5t = \ln 500 = 6.214

t = \dfrac{6.2}{0.5} = 12.4

5 0
2 years ago
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What does collinear mean
storchak [24]
Lying in the same straight line i think..

5 0
2 years ago
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HELP 10 POINTS AND BRAINLIEST The triangles below are similar. In each traingle there is a 53°angle and a right angle. What is t
Mrrafil [7]

Answer:

Step-by-step explanation:

Since both triangles are similar, we know this because they have 2 angles in common, they both have the same third angle.

To find the third angle, we use the angle sum. The sum of angles in a triangle will always equal 180 degrees. We are given a right angle which is 90 degrees and another angle, which is 53 degrees. Knowing this:

90 + 53 + x = 180 (I have chosen to call the third angle x)

when rearranging this we get

180 - 90 - 53 = x

now we solve

x = 37 degrees

Hope this helps,

Cate

8 0
2 years ago
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Grace drew a triangle. It's sides were 12 mm, 10 mm, and 11 mm. It has one obtuse angle and two acute angles. What triangle did
Mariana [72]

Answer:

Scalene triangle

Step-by-step explanation:

scalene triangle is a triangle where the lengths of all three sides are different, it comprises of both obtuse and acute angles,all giving a sum of 180 degrees

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