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3 years ago

how many ways can 8 members of a family be seated side-by side in a movie theater if the father is seated on the aisle?

1 answer:

7 0

Ok so there are 7 different options for each of the remaining 7 people to be sat in which means that the answer can be given by 7!=7*6*5*4*3*2*1=5040 different ways

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God please help me plz

Nat2105 [25]

You convert 432 sq inches into inches so 20.7846. Then you times that by 6. The answer is 124.7076 and if rounded 124.7

8 0

3 years ago

Classify the following triangle. Check all that apply.

Artist 52 [7]

Please which triangles

3 0

3 years ago

Select the statement that describes the following expression 6 x (2 + 7) − 9. (4 points)

stiv31 [10]

Answer:

Add all of them together

Step-by-step explanation:

You have to add the numbers and that gives you the sum

8 0

3 years ago

PLEASE HELP, 30 points AND brainliest if I get an explanation :)

Nostrana [21]

Answer:

Please check the explanation.

Step-by-step explanation:

BLUE PENTAGON

The blue shape represents the Pentagon

The length of the side a = 7

As there are 5 sides.

Thus,

The Perimeter of the Blue Pentagon = P = 5a = 5(7) = 35

Using the formula to determine the area of the Pentagon

$A=\frac{1}{4}\sqrt{5\left(5+2\sqrt{5}\right)}a^2\:\:\:\:\:\:\:\:\:\:\:\:\:$

$A=\frac{1}{4}\sqrt{5\left(5+2\sqrt{5}\right)}\left(7\right)^2\:\:\:\:\:\:$

$A\approx 84.3\:\:\:$

Thus,

The Area of the Blue Pentagon = $A\approx 84.3\:\:\:$

RED PENTAGON

The red shape represents the Pentagon

The length of the side a = 4

As there are 5 sides.

Thus,

The Perimeter of the Red Pentagon = P = 5a = 5(4) = 20

Using the formula to determine the area of the Pentagon

$A=\frac{1}{4}\sqrt{5\left(5+2\sqrt{5}\right)}a^2\:\:\:\:\:\:\:\:\:\:\:\:\:$

$A=\frac{1}{4}\sqrt{5\left(5+2\sqrt{5}\right)}\left(4\right)^2\:\:\:\:\:\:$

$\:A\approx 27.5$

The Area of the Red Pentagon = $\:A\approx 27.5$

Conclusion:

The Perimeter of the Blue Pentagon = 35

The Perimeter of the Red Pentagon = 20

Thus, the ratio of the perimeter is: 35/20 = 7/4

The Area of the Blue Pentagon = 84.3 = 843/10

The Area of the Red Pentagon = 27.5 = 275/10

Thus, the ratio of the Area is:

$\frac{\frac{843}{10}}{\frac{275}{10}}=\frac{843}{275}$

7 0

3 years ago

Find the volume of the given solid region in the first octant bounded by the plane 9z+15y+15z=45 and the coordinate planes, usi

dem82 [27]

First,

$9x+15y+15z=45\implies 3x+5y+5z=15$

The volume is given by the integral (one of 6 possible combinations),

$\displaystyle\int_0^5\int_0^{\frac{15-3x}5}\int_0^{\frac{15-3x-5y}5}\mathrm dz\,\mathrm dy\,\mathrm dx=\boxed{\frac{15}2}$

3 0

3 years ago