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Damm [24]
3 years ago
9

What is the solutions of the equation (4 x + 3)^2=18

Mathematics
1 answer:
tekilochka [14]3 years ago
4 0

Answer:

(4x+3)^2 = 18

16x+9=18

16x=9

<u>x=9/16</u>

Step-by-step explanation:

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An oil tank is leaking into a lake at a rate of 0.1 m3/day. The oil slick forms a semicircular disk whose center is at the leak
gregori [183]

Answer:

17.9  m/s

Step-by-step explanation:

Volume of the slick =  0.5 x π r² h--------------------------------- (1)

Where r = radius of slick

           h = thickness of slick, 10⁻⁶m

If 0.5m³ of oil leaked, then the radius of the semicircular slick can be calculated from equation (1)

V  =  0.5 x π r² h

0.5=  0.5 x  π x  r² x 10⁻⁶

r²   =  10⁶/ π

r =     10³/√π

dV/dt =   πrh dr/dt  + 0.5π r² dh/dt----------------------------------- (2)

Asumming the film thickness is constant , equation (2) becomes

dV/dt =   πrh dr/dt-------------------------------- (3)

dV/dt = 0.1m³/day

r=  10³/√π

dr/dt= rate of expansion of the slick

Substituting  into (3);

0.1 =  π x 10³/√π x 10⁻⁶ x dr/dt

dr/dt = 0.1  x 10⁶/ ( π x 10³/√π)

       =  17.9479 m/s

       ≅  17.9  m/s

8 0
3 years ago
The figure consists of a quarter circle and a parallelogram. What is the area of the composite figure? Use 3.14 for pi. Round to
Andru [333]
The area of a full circle is given by
  A = π*r^2
so the area of a 1/4 circle will be 1/4 of that:
  A = (π/4)*r^2

The area of a parallelogram is the product of base length and height:
  A = bh

Your composite figure will have an area that is the sum of the areas of the parts.
  A = (quarter circle area) + (parallelogram area)
  A ≈ (3.14/4)*(14 in)^2 +(14 in)*(5 in)
  A ≈ 223.86 in^2 ≈ 224 in^2

The most appropriate selection is the last one,
  224 in^2
7 0
3 years ago
Read 2 more answers
Find the measure of the red arc or chord in ⊙C. The measure of arc XYZ is a °
Igoryamba

The points on the red arc are points A and B

The measure of the red arc is 75 degrees

<h3>How to determine the measure of arc XYZ?</h3>

From the complete question, we have:

Angle DCE = 75 degrees

By vertical angles theorem,

Angle ACB = Angle DCE = 75 degrees

So, we have:

Angle ACB = 75 degrees

The measure of the red arc is the same as the measure of the angle ACB.

So, we have:

Red arc = 75 degrees

Hence, the measure of the red arc is 75 degrees

Read more about arc and chords at:

brainly.com/question/25871159

3 0
2 years ago
20(20-x)=300 what is x
neonofarm [45]

Answer:

x = 5

Step-by-step explanation:

20(20-x)=300

1. Divide both sides by 20.

20(20-x)/20 = 300/20

2. Simplify.

20-x=15

3. Subtract 20 from both sides.

20-x-29=15-20

4. Simplify.

-x=-5

5. Divide both sides by -1.

-x/-1 = -5/-1

6. Simplify.

x=5

5 0
3 years ago
X = –16 or x = –4 x = –10 x = –8 x = 4 or x = 16
OverLord2011 [107]
X is 16 so turn everything into a equation
3 0
3 years ago
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