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Alla [95]
3 years ago
9

20/12=15/x find x plz help

Mathematics
2 answers:
Lemur [1.5K]3 years ago
4 0

Answer:

x=9

Step-by-step explanation:

We have: \frac{20}{12}=\frac{15}{x}

First, we can simplify 20/12 by 4

\frac{5}{3}=\frac{15}{x}

this is a proportion, so we can cross multiply (multiply 5 by x and 3 by 15)

5x=45

divide by 5

x=9

Hope this helps!

Ganezh [65]3 years ago
3 0

Answer:

x = 9

Step-by-step explanation:

To find x, we first have to solve the equation given in the question:

\frac{20}{12} = \frac{15}{x}

20x = 15 \cdot 12

x = \frac{180}{20}

x = 9

Therefore, x = 9.

Hope this helped!

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Answer:

\frac{2}{15}  {cm}^{2}

Step-by-step explanation:

Area of Rectangle = Length x Breadth

=

\frac{1}{5}  \times  \frac{2}{3}  \\  =  \frac{2}{15}  {cm}^{2}

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2 years ago
What is the greatest common factor of 18x and 21?
eimsori [14]
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3 years ago
I don't know how to do this please help explain how to do it aswell as give the answer so i understand
Zinaida [17]

<u>We are given:</u>

The function: y = -16t² + 64

where y is the height from ground, t seconds after falling

<u>Part A:</u>

when the droplet would hit the ground, it's height from the ground will be 0

replacing that in the given function:

0 = -16t² + 64

16t² = 64                          [adding 16t² on both sides]

t² = 4                                [dividing both sides by 16]

t = 2 seconds                  [taking square root of both sides]

<u>Part B:</u>

for second droplet,

height from ground = 16 feet

time taken = t seconds

acceleration due to gravity = 10 m/s²

initial velocity = 0 m/s

h = ut + (1/2)at²                 [second equation of motion]

16 = (0)(t) + (1/2)(10)(t²)

16 = 5t²

t² = 16/5

t = 1.8 seconds (approx)

Therefore, the second droplet takes the least amount time to hit the ground

4 0
3 years ago
slader (a) Find parametric equations for the line through (4, 1, 8) that is perpendicular to the plane x − y + 4z = 2. (Use the
Pavel [41]

Answer:

(x(t), y(t), z(t)) = (4 + t, 1 - t, 8 + 4t)

xy - plane    (x, y, z) = (2, -1, 0)

yz - plane    (x, y, z) = (0, 5, -8)

xz - plane     (x, y, z) = (5, 0, 12)

Step-by-step explanation:

The given point (x, y ,z) = (4, 1, 8)

The plane x -y + 4z = 2

Normal vector (n) = < 1, -1, 4 >

The equation of line through point (4, 1, 8) and the plane is:

(x(t), y(t), z(t)) = (4, 1, 8) + t(1, -1, 4)

(x(t), y(t), z(t)) = (4 + t, 1 - t, 8 + 4t)

Any point on the line P(x, y, z) = ( 4 + t, 1 - t, 8 + 4t)

xy-Pane ⇒ z = 0

8 + 4t = 0

4t = - 8

t = -8/4

t = -2

∴

(x, y, z) = (4 - 2, 1 - 2, 8 + 4(-2))

(x, y, z) = (2, -1, 0)

yz-plane ⇒ x = 0

4 + t = 0

t = -4

∴

(x, y, z) = (4 + (-4) , 1-(-4), 8 + 4(-4)

(x, y, z) = (0, 5, -8)

xz-plane ⇒ y = 0

1 - t = 0

-t = -1

t = 1

∴

(x, y, z) = ( 4 + 1, 1 - 1, 8 + 4(1) )

(x, y, z) = (5, 0, 12)

6 0
3 years ago
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