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3 years ago

10

What is the product of the polynomials below? (6x^2-3x-6)(4x^2+5x+4)

2 answers:

evablogger [386]3 years ago

7 0

Answer:

Step-by-step explanation:

(6x^2-3x-6)(4x^2+5x+4)

24x^4+30x^3+24x^2-12x^3-15x^2-12x-24x^2-30x-24

24x^4+18x^3-15x^2-42x-24

Lunna [17]3 years ago

4 0

Answer:

(6 - 5x(2))(x(4) - x(3))

(6 - 5x^2) (x^4 - x^3)

6x^4 - 6x^3 - 5x^6 + 5x^5

-5x^6 + 5x^5 + 6x^4 - 6x^3

Step-by-step explanation:

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The figure shows the layout of a symmetrical pool in a water park. What is the area of this pool rounded to the tens place? Use

k0ka [10]

Answer:

$2489ft^{2}$

Step-by-step explanation:

The pool are is divided into 4 separated shapes: 2 circular sections and 2 isosceles triangles. Basically, to calculate the whole area, we need to find the area of each section. Due to its symmetry, both triangles are equal, and both circular sections are also the same, so it would be enough to calculate 1 circular section and 1 triangle, then multiply it by 2.

<h3>Area of each triangle:</h3>

From the figure, we know that <em>b = 20ft </em>and <em>h = 25ft. </em>So, the area would be:

$A_{t}=\frac{b.h}{2}=\frac{(20ft)(25ft)}{2}=250ft^{2}$

<h3>Area of each circular section:</h3>

From the figure, we know that $\alpha =2.21 radians$ and the radius is $R=30ft$ . So, the are would be calculated with this formula:

$A_{cs}=\frac{\pi R^{2}\alpha}{360\°}$

Replacing all values:

$A_{cs}=\frac{(3.14)(30ft)^{2}(2.21radians)}{6.28radians}$

Remember that $360\°=6.28radians$

Therefore, $A_{cs}=994.5ft^{2}$

Now, the total are of the figure is:

$A_{total}=2A_{t}+2A{cs}=2(250ft^{2} )+2(994.5ft^{2})\\A_{total}=500ft^{2} + 1989ft^{2}=2489ft^{2}$

Therefore the area of the symmetrical pool is $2489ft^{2}$

3 0

3 years ago

3 red balls, 4 white balls, and 1 green ball are in a bag. Balls are drawn without replacement. Find the probability that the re

jolli1 [7]

The probability that the red balls can be drawn before the green ball is drawn is 3/8.

<h3>What is Probability?</h3>

The probability is the measure of the likelihood of an event to happen.

Given:

red balls= 3

white balls = 4

green balls = 1

So, Probability of red balls

=3/8

Probability of green balls

=1/7

Learn more about probability here:

brainly.com/question/14546377

#SPJ1

7 0

2 years ago

7.63 repeating as a fraction

Katyanochek1 [597]

Answer:

763/100 is the answer to this

3 0

3 years ago

Please solve this with explanation

SpyIntel [72]

Answer:

-27/8

Step-by-step explanation:

just times than the power -3

5 0

3 years ago

What is the rate of heat transfer required to melt 1-ton of ice at 32 F in 24 hours?

LiRa [457]

Answer:

3865.74 J/s

Step-by-step explanation:

mass of ice, m = 1 ton = 1000 kg

time , t = 24 hours

latent heat of fusion of ice, L = 334000 J/kg

Heat required to melt, H = m x L

where, m is the mass of ice and L be the latent heat of fusion

So, H = 1000 x 334000 = 334 xx 10^6 J

Rate of heat transfer = heat / time = $\frac{334\times 10^{6}}{86400}$

Rate of heat transfer = 3865.74 J/s

thus, the rate of heat transfer is 3865.74 J/s.

8 0

3 years ago