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ki77a [65]
3 years ago
8

Maren is painting some doors that are all the same size. She used 3 liters of paint to cover 1 4/5 doors. How many liters of pai

nt are needed for 1 door?
Mathematics
1 answer:
Wewaii [24]3 years ago
5 0

Answer:5/3 litres of paint is needed for 1 door.

Step-by-step explanation:

All the doors that Maren is painting are of the same size.

She used 3 liters of paint to cover 1 4/5 doors. Converting 1 4/5 into improper fraction, it becomes 9/5.

Let the number of litres of paint needed to paint 1 door would be x. Therefore

3 litres = 9/5 doors

x litres = 1 door

Crossmultiplying, it becomes

3 × 1 = x × 9/5

3 = 9x/5

9x = 3 × 5 = 15

x = 15/9 = 5/3 litres

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Misha Larkins [42]

Answer:

It is a many-to-one relation

Step-by-step explanation:

Given

See attachment for relation

Required

What type of function is it?

The relation can be represented as:

\left[\begin{array}{c}x\\ \\-5\\-2\\1\\5\end{array}\right]         \left[\begin{array}{c}y\\ \\10\\11\\4\\10\end{array}\right]

Where

x = domain and y = range

Notice that the range has an occurrence of 10 (twice)

i.e.

(x_1,y_1) = (-5,10) and (x_2,y_2) = (5,10)

In function and relations, when two different values in the domain point to the same value in the range implies that, <em>the relation is many to one.</em>

8 0
3 years ago
What's the center of a circle whose equation is (x – 14)2 + (y + 21)2 = 64?
kvasek [131]

Answer:

The center of the circle is:

  • \left(a,\:b\right)=\left(14,\:-21\right)

Thus, option (2) is true.

Step-by-step explanation:

The circle equation is given by

\left(x-a\right)^2+\left(y-b\right)^2=r^2

here,

  • r =  raduis
  • center = (a, b)

Given the equation

\left(x-14\right)^2+\left(y+21\right)^2=64

\mathrm{Rewrite}\:\left(x-14\right)^2+\left(y+21\right)^2=64\:\mathrm{in\:the\:form\:of\:the\:standard\:circle\:equation}

\left(x-14\right)^2+\left(y-\left(-21\right)\right)^2=8^2

comparing with the circle equation

\left(x-a\right)^2+\left(y-b\right)^2=r^2

Therefore, the center of the circle is:

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Thus, option (2) is true.

7 0
2 years ago
q(x)= x 2 −6x+9 x 2 −8x+15 ​ q, left parenthesis, x, right parenthesis, equals, start fraction, x, squared, minus, 8, x, plus, 1
AURORKA [14]

According to the theory of <em>rational</em> functions, there are no <em>vertical</em> asymptotes at the <em>rational</em> function evaluated at x = 3.

<h3>What is the behavior of a functions close to one its vertical asymptotes?</h3>

Herein we know that the <em>rational</em> function is q(x) = (x² - 6 · x + 9) / (x² - 8 · x + 15), there are <em>vertical</em> asymptotes for values of x such that the denominator becomes zero. First, we factor both numerator and denominator of the equation to see <em>evitable</em> and <em>non-evitable</em> discontinuities:

q(x) = (x² - 6 · x + 9) / (x² - 8 · x + 15)

q(x) = [(x - 3)²] / [(x - 3) · (x - 5)]

q(x) = (x - 3) / (x - 5)

There are one <em>evitable</em> discontinuity and one <em>non-evitable</em> discontinuity. According to the theory of <em>rational</em> functions, there are no <em>vertical</em> asymptotes at the <em>rational</em> function evaluated at x = 3.

To learn more on rational functions: brainly.com/question/27914791

#SPJ1

8 0
1 year ago
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Afina-wow [57]

The Undefined term that is used to define an angle is a point.

<h2>Further Explanation: </h2><h3>Angle</h3>
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<h3>A ray  </h3>

It is a part of a line with one end point and proceeds on in one direction.

<h3>Naming of angles</h3>
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  2. Using the Vertex of the angle. For example, in the case of ∠PQR, can also be called angle Q, while ∠BCD can be called angle C.
  3. Angles can also be named by placing any number or symbol at the vertex in the interior of the angle. Such that angles can be called angle 1 or angle 3 , or angle 5, and so on.
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<h3>Measuring of an angle using a protractor</h3>
  • To measure the angle, the mid-point of a protractor is placed on the vertex of the angle.  
  • Then lining up one side of the angle with the zero line of the protractor.  
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Keywords: Rays, angles, properties of angles, measurement of angles

<h3>Learn more about;</h3>
  • Angles: brainly.com/question/1745042
  • Rays: brainly.com/question/1745042
  • Units used to measure angles: brainly.com/question/8812311
  • Methods of naming angles: brainly.com/question/1594009
  • Measuring angles: brainly.com/question/1594009

Level: Middle school  

Subject: Geometry

Topic: Angles  

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