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likoan [24]
3 years ago
7

What is the constant of proportionality in the equation y=5x?

Mathematics
1 answer:
zaharov [31]3 years ago
5 0

Answer: The constant of proportionality is 5 because the equation would be y=kx but instead of k it has 5.

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Ormond Oil company wants to paint one of its cylindrical
Elenna [48]

Answer:

the company must buy 22 gallons to paint this entire area

Step-by-step explanation:

The circumference of the tank is given and is C = 2(pi)r, where r is the area.                                                                              

                                                                                                             118 ft

Here the circumference is C = 2(pi)(r) = 118 ft, which   leads to r = ------------ ≈

18.79 ft ≈ r                                                                                                     2(pi)

The area of the sides is A = (circumference)(height), or approximately

(118 ft)(50 ft) = 5900 ft², and the area of the top is A = πr², which here comes to (π)(18.79 ft)² ≈ 1109 ft².  Combining these two sub-areas, we get:

A(total) = 1109 ft² + 5900 ft² ≈ 7009 ft²

To determine how many gallons of paint will be needed to paint only the top and sides, we divide 7009 ft² by the coverage rate, which is

320 ft²

-----------

1 gallon

which results in:

7009 ft²

----------------------  ≈  21.9 gallons

320 ft² / gallon                          

Since the paint comes only in full gallon cans, the company must buy 22 gallons to paint this entire area.                                                        

4 0
3 years ago
Can someone help me out with this?
marissa [1.9K]

Answer:

  • x = 4

Step-by-step explanation:

x has the same value as RT since they are equal sides of the isosceles triangle.

RT is also the hypotenuse of ΔRST - 30°×60°×90° right triangle.

Acoording to the property of such triangles, the ratio of sides is:

  • a : b : c = 1 : √3 : 2

We have:

  • b = 2√3 and c = RT

Use the ratio to find the lenght of RT

  • 2√3 : RT = √3 : 2
  • RT = 2*2√3/√3
  • RT = 4

So the value of x is 4 units

4 0
2 years ago
Craig had p coins. Then he found 66 more coins in a drawer. Write an expression that shows how many coins Craig has now.
Elena L [17]

Craig had p coins. Then he found 66 more coins in a drawer. Write an expression that shows how many coins Craig has now.

p+ 66

5 0
3 years ago
I need help with #3. I would like it if you could explain how to do it because there are 2 more that are similar to #3. Thank yo
zysi [14]

Answer:

raha of my life with the exception in my case the first two of the year old one is that it will help you are not able the first of

5 0
3 years ago
Please help its urgent ​
hram777 [196]

Answer:

<h2>Function is y = x.</h2><h2>Domain: -3 \leq x \leq 2.</h2><h2>Range: -5 \leq y \leq 4.</h2>

Step-by-step explanation:

In the given image, the line passes through (-1, -1) and (1, 1).

Let the equation of the line is y = mx + c, where m is the tangent of the line and c is a constant.

Putting the co-ordinates of the points in the equation, we get -1 = -m + c and 1 = m + c

From the two equations we get, c = 0 and m = 1.

Hence, the function is y = x.

Domain is -3 \leq x \leq 2.

Range is -5 \leq y \leq 4

5 0
3 years ago
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