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Aleksandr [31]
3 years ago
5

If (20,8) and (25, 10) belong to a proportional relationship, what is the constant of proportionality

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
4 0

Answer:

The proportionality constant is 2/5

Step-by-step explanation:

Here, we want to get the proportionality constant

Let us view the two points as being points on a line

The constant of proportionality will be the slope of the line that connects the two points

Mathematically, we can use the formula for the slope of a line

We have this as;

m = (y2-y1)/(x2-x1)

(x1,y1) = (20,8)

(x2,y2)= (25,10)

m = (10-8)/(25-20) = 2/5

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Find the value of x and y
Westkost [7]

Answer:

3√15

Step-by-step explanation:

x=y

x^2+x^2 = 9*30

2x^2 = 270

x^2 = 9*15

x = y = 3√15

3 0
3 years ago
Find the surface area of the<br> rectangular prism.<br> 3 cm<br> 10 cm<br> 7 cm<br> [?] sq cm
Setler79 [48]

Answer:

Step-by-step explanation:

There are six faces on the prism:

Two faces are 7 cm by 10 cm, area = 7×10 = 70 cm² each

Two faces are 7 cm by 3 cm, area = 7×3 = 21 cm² each

Two faces are 10 cm by 3 cm, area = 10×3 = 30 cm² each

surface area = 2(70) + 2(21) + 2(30) = 140 + 42 + 60 = 242 cm²

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3 years ago
Help me out please! Explain the difference between equilateral and equiangular :) ​
Leviafan [203]

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Regular Polygons

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6 0
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Find the area. Simplify your answer.<br> 3x-3<br> 3x+6
maw [93]

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3x^2 + 7x - 18

Step-by-step explanation:

5 0
3 years ago
If a = 7 and b = 11, what is the measure of ∠B? (round to the nearest tenth of a degree) A) 32.5° B) 39.2° C) 50.5° D) 57.5°
Ilia_Sergeevich [38]

Answer:

D) 57.5°

Step-by-step explanation:

As the question is not complete. So, let's suppose it is a right angle triangle then, we can apply Pythagoras theorem to calculate the hypotenuse or the third side.

Pythagoras Theorem = c^{2} = a^{2} + b^{2}

a = 7 and b = 11

a^{2} = 49

b^{2} = 121

Plugging in the values, we will get:

c^{2} = 49 + 121

c^{2} = 170

c = \sqrt{170}

To calculate the unknown angle B, we can use law of sine.

Law of sine = \frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}

So,

\frac{c}{sinC} = \frac{b}{sinB}

\frac{\sqrt{170} }{sin90} =  \frac{11}{sinB}

Sin90 = 1

sinB = \frac{11}{\sqrt{170} }

B = sin^{-1} (\frac{11}{\sqrt{170} })

B = 57.5°

8 0
3 years ago
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