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Sonbull [250]
3 years ago
6

In the diagram AB IBC . Find the value of x.

Mathematics
1 answer:
s2008m [1.1K]3 years ago
5 0

Step-by-step explanation:

3x-6+x+90°=180°

4x+84=180

4x=96°

x=96/4

x=24°

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Focus (-3,3) vertex (0,3). What is the equation for the parabla
Gwar [14]

Answer:

(y - 3)² = 12(x + 3)  

Step-by-step explanation:

The focus is to the right of the vertex, so the parabola is sideways and opens to the right.

The conic form of a sideways parabola is

(y - k)² = 4p(x - h)

The vertex is at h = -3; k = 3

The focus is at (h + p, k) = (-3 + p, 3)

The vertex and focus are three units apart, so p = 3.

The equation of your parabola is

(y - 3)² = 12(x + 3)

The figure below shows the graph of your parabola with its focus and vertex.

8 0
3 years ago
Twenty years ago a small town in Texas had a population of 10,000. The population has increased 8% each year
yan [13]

Answer:

A

Step-by-step explanation:

8% = .08 in decimal form

10 000 ( 1 + .08)^10 =

8 0
2 years ago
. The two bottles are similar in shape. The larger bottle holds 100 m/ of perfume. Calculate how many millilitres of perfume the
FromTheMoon [43]

Answer:

The smaller bottle holds 12.5 ml of perfume.

====================

<h2>Given</h2>

  • Two bottles of similar shape;
  • Larger bottle has volume of 100 ml;
  • The length of larger bottle is 10 cm;
  • The length of smaller bottle is 5 cm.

<h2>To find </h2>

  • The volume of smaller bottle.

<h2>Solution</h2>

Find the scale factor, the ratio of corresponding dimensions:

  • k = 5/10 = 1/2

We know the volume is the function of three dimensions, therefore the ratio of volumes is the cube of the scale factor:

  • V_{small}/V_{large} = k^3\\

Substitute the known values and find the volume of small bottle:

  • V_{small}/100= (1/2)^3\\
  • V_{small}/100= 1/8
  • V_{small}= 1/8*100=12.5

The smaller bottle holds 12.5 ml of perfume.

4 0
2 years ago
Read 2 more answers
Alexa and Rose read books that have the same number of pages. Alexa's book is divided into 8 equal chapters. Rose's book is divi
Jobisdone [24]
Alexa has read 3/8 chapters, while Rose has read 3/6, or 1/2, meaning that Rose has read more pages than Alexa.
6 0
3 years ago
Read 2 more answers
Write the expression: the quotient of the quantity k minus 12 and m.
Vlad1618 [11]

the quotient= answer

quantity = ( )

minus= subtraction

final answer:

(k-12) ÷ m

6 0
3 years ago
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