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sveticcg [70]
3 years ago
10

A rectangle has breadth 5cm and area 40cm². Its length is equal to the height of a triangle of base 18cm. Find the area of the t

riangle.
Mathematics
1 answer:
tigry1 [53]3 years ago
8 0

Answer:

72cm squared

Step-by-step explanation:

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Find a possible formula for a fourth degree polynomial g that has a double zero at -2, g(4) = 0, g(3) = 0, and g(0) = 12. g(x) =
astraxan [27]
<h2>Answer:</h2>

The possible formula for a fourth degree polynomial g is:

         g(x)=\dfrac{1}{4}(x^4-3x^3-12x^2+20x+48)

<h2>Step-by-step explanation:</h2>

We know that if a polynomial has zeros as a,b,c and d then the possible polynomial form is given by:

f(x)=m(x-a)(x-b)(x-c)(x-d)

Here the polynomial g  has a double zero at -2, g(4) = 0, g(3) = 0.

This means that the polynomial g(x) is given by:

g(x)=m(x-(-2))^2(x-4)(x-3)\\\\i.e.\\\\g(x)=m(x+2)^2(x-4)(x-3)\\\\i.e.\\\\g(x)=m(x^2+2^2+2\times 2\times x)(x(x-3)-4(x-3))\\\\i.e.\\\\g(x)=m(x^2+4+4x)(x^2-3x-4x+12)\\\\i.e.\\\\g(x)=m(x^2+4+4x)(x^2-7x+12)\\\\i.e.\\\\g(x)=m[x^2(x^2-7x+12)+4(x^2-7x+12)+4x(x^2-7x+12)]\\\\i.e.\\\\g(x)=m[x^4-7x^3+12x^2+4x^2-28x+48+4x^3-28x^2+48x]\\\\i.e.\\\\g(x)=m[x^4-7x^3+4x^3+12x^2+4x^2-28x^2-28x+48x+48]\\\\i.e.\\\\g(x)=m[x^4-3x^3-12x^2+20x+48]

Also,

g(0)=12

i.e.

48m=12\\\\i.e.\\\\m=\dfrac{12}{48}\\\\i.e.\\\\m=\dfrac{1}{4}

Hence, the polynomial g(x) is given by:

g(x)=\dfrac{1}{4}(x^4-3x^3-12x^2+20x+48)

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3 years ago
A group of 125 teenagers were asked which of the following activities they would most likely choose to spend their free time doi
erik [133]
If it was 25%, it would be a 90 degree angle. So we can calculate this using a proportion. 25/90 = 24/x. Cross multiply to get 25x = 2160. When you divide by 25 on both sides you get 86.4. So the angle should be 86 degrees. Hope this helps.
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3 years ago
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This company will begin to make a profit after producing more than ______ units.
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The costs equal one another at approximately 2450 units.  After that, you can see that the revenue line has a much steeper slope than the cost line and that means that revenue is greater than the costs after the point where they intersect.  They begin to make a profit after 2450 units are produced.
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4 years ago
What solid shape does the two nets make?
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Answer:

1. Rectangular Prism

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Step-by-step explanation:

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4 years ago
Need help will mark brainliest...
Xelga [282]

Answer:

Step-by-step explanation:

Step-by-step explanation:

The given data set is:

Week 1: 600

Week 2: 300

Week 3: 500

Week 4: 900

The following are the steps to find the standard deviation:

Step 1. Jim enters the data and calculates the average or mean.

Step 2. Jim calculates the deviation from the mean by subtracting the mean from each value.

Data value (x)                                                              

600                                                                           25

300                                                                         -275

500                                                                         -75

900                                                                          325

Step 3. Jim squares each deviation to remove negative signs.

Data value (x)                                                            

600                                                                       625

300                                                                    75625

500                                                                      5625

900                                                                   105625

Step 4. Jim sums the squares of each deviation and divides by the count for the variance.

Step 5.Jim takes the square root of the variance to find the standard deviation.

4 0
3 years ago
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