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3 years ago

Evaluate the determinant for the following matrix [144] [522] [155]

1 answer:

8 0

Matrix :

1    4    4

5 2    2

1    5    5

=> Determinant =

1 * (2*5 - 2*5) - 4 * (5*5 - 1*2) + 4 * ( 5*5 - 2*1)

= 1*(10 - 10) - 4*(25 - 2) + 4*(25 -2) = 1*0 + 4* 23 + 4*(25 - 2) = 0 - 4*23 + 4*23 = 0

Answer: 0

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Which is greater 36 yards and 2 feet or 114 feet and 2 inches

sp2606 [1]

114 feet and 2 inches

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3 years ago

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You need to wrap a present that you will put inside a cylindrical container. You’ll need to know how much will fit in the conta

nirvana33 [79]

Answer:

149.28 sq. inches

137.5 cubic inches.

Step-by-step explanation:

The cylindrical container has length or height (h) 7 inches and has a diameter of 5 inches i.e. radius (r) 2.5 inches.

Now, total surface area of the container = $2\pi r^{2} + 2\pi rh$

= $\frac{2 \times 22 \times (2.5)^{2} }{7} + \frac{2 \times 22 \times 2.5 \times 7}{7}$

= 39.28 + 110

= 149.28 sq. inches (Answer)

Again the volume of the container will be $\pi r^{2}h$

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= 137.5 cubic inches. (Answer)

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3 years ago

1/2x+2 = x/2x^2+8<br><br> Show work plz

Igoryamba

Answer:

x=24

Step-by-step explanation:

1/2x+2 = 1/2x^2+8

1/2x^2=1/4x

1/2x+2=1/4x+8

1/2x -1/4x =0.25x

0.25x+2=8

8-2=6

0.25x=6

0.25/6 = 24

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3 years ago

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A mixture of nuts contains 2 kg of cashew nuts and

Marizza181 [45]

Answer:

3 : 10

Step-by-step explanation:

2 kg = 2000g

600g peanuts : 2000 cashew nuts

600 : 2000

divide both sides by a common divisor ( 200)

600/200 : 2000/200

3 : 10

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3 years ago

Find the slope of the line that passes through the pair of points (2,6) , (7,0)

iVinArrow [24]

Slope is defined as the change in y-coordinate over the change in x, so if you find the change then you can find the slope.
$\frac{change~in~y}{change ~in~x} =\frac{0-6}{7-2}=\frac{-6}{5}$
Thus, your slope is -6/5.

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3 years ago