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3 years ago

If the average (arithmetic mean) of 2, 7, and x is 12, what is the value of x?

1 answer:

6 0

The three numbers are 2, 7 and x.

Ther sum is
2 + 7 + x = 9 + x

Because the arithmetic mean is 12, therefore
(9 + x)/3 = 12
9 + x = 12*3 = 36
x = 36 - 9 = 27

Answer: x = 27

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The bottom of a rectangular swimming pool has an area of 150 square meters and a perimeter of 50 meters. What are the dimensions

AysviL [449]

The dimensions of the pool is 15m by10m

<h3>Area and perimeter of rectangle</h3>

A pool is rectangular in nature. If a rectangular swimming pool has an area of 150 square meters and a perimeter of 50 meters, then;

lw = 150

2(l+w) = 50

l + w = 25

where

l is the length

w is the width

From the equation 3

l = 25 - w

Substitute into 1

(25-w)w = 150
25w-w² = 150
w²-25w+150 = 0
w²-10w-15w+150 = 0

Factor

w(w-10)-15(w-10) = 0

w = 10 and 15

l = 150/10 = 15

Hence the dimensions of the pool is 15m by10m

Learn more on dimension here: brainly.com/question/26740257

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7 0

1 year ago

Factor 9y2 - 12y + 4.<br><br> (3 y - 2)(3 y + 2)<br> (3 y - 4)( y + 1)<br> (3 y - 2) 2

lozanna [386]

Answer:

(y - 2)²

Step-by-step explanation:

9y² - 12y + 4 ← is a perfect square of the form

(ax - b)² = a²x² - 2abx + b²

Compare like terms with 9y² - 12y + 4, thus

a² = 9 ⇒ a = 3

b² = 4 ⇒ b = 2 and

- 2ab = - 2 × 3 × 2 = - 12

Thus

9y² - 12y + 4 = (3y - 2)²

8 0

3 years ago

The height H metres of a ball projected upwards t seconds after being projected is given by H=64t - 16t². Find it's initial velo

nordsb [41]

Answer:

initial velocity = 64 m/s

Step-by-step explanation:

Differentiate H = 64t - 16t² to find an equation for velocity:

Velocity = $\frac{dH}{dt}$ = 64 - 32t

Initial velocity (u) is when t = 0:

u = 64 - 32(0)

⇒ u = 64 - 0

⇒ u = 64 m/s

4 0

2 years ago

In the adjoining figure, the parallel lines are marked by arrow lines. The value of angle 1 is:

dlinn [17]

Answer:

20°

Step-by-step explanation:

40°, 70° and 90° are the measures of the three angles of the quadrilateral.

Measure of fourth angle of the Quadrilateral

= 360° - (40° + 70° + 90°)

= 360° - 200°

= 160°

Measure of angle 1 will be equal to the measure of the linear pair angle of 160° as they are corresponding angles.

Thus,

$m\angle 1 = 180\degree- 160\degree$

$\implies\huge\purple{\boxed{ m\angle 1 = 20\degree}}$

Alternate method:

$m\angle 1 = 180\degree- [360\degree-(40\degree+70\degree+90\degree)]$

$\implies m\angle 1 = 180\degree- [360\degree-200\degree]$

$\implies m\angle 1 = 180\degree- 160\degree$

$\implies m\angle 1 = 20\degree$

6 0

3 years ago

Read 2 more answers

the line plot shows the ages at which a group of musicians started to play instrument based on the data in the line plot which s

aleksklad [387]

Answer: they both true

Step-by-step explanation:

5 0

3 years ago