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3 years ago

What is the surface area of a rectangular prism that has dimensions of: Length is 6.5, width is 8, and the height is 3.8

Mathematics

1 answer:

stich3 [128]3 years ago

5 0

Answer:

214.2 units²

Step-by-step explanation:

To find the surface area, we add the area of all the 6 sides.

2(Length x Width) + 2(Length + Width) x height

Surface area

= 2(6.5 x 8) + 2(6.5 + 8) (3.8)

= 104 + 110.2

= 214.2 units²

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3 years ago

Write an equivalent expression for 7a + 21

PSYCHO15rus [73]

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4 years ago

Solve the equation 4x^2 – 32x + 64 = 0.

AlexFokin [52]

Answer: x = 4

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2 years ago

Deidre is picking out some movies to rent, and she is primarily interested in documentaries and children's movies. She has narro

exis [7]

Answer: 6630

Step-by-step explanation:

Given , Number of documentaries = 17

Number of children's movies = 20

Total movies = 17+20=37

Number of combinations of r things taken out of things = $^nC_r=\dfrac{n!}{r!(n-r)!}$

Now, the number of different combinations of 3 movies can she rent if she wants at least one documentary

= (1 documentary+2 children's movies , 2 documentary+1 children's movies , 3 documentary+0 children's movies)

$=^{17}C_1\times^{20}C_{2}+^{17}C_2\times^{20}C_{1}+^{17}C_3\times^{20}C_{0}$

$=(17)\times\dfrac{20!}{2!18!}+\dfrac{17!}{2!15!}\times(20)+\dfrac{17!}{3!14!}(1)\\\\=3230+2720+680=6630$

Hence, the number of different combinations of 3 movies can she rent if she wants at least one documentary is 6630 .

3 0

4 years ago

What is the circumference of the following circle?<br> diameter=9cm

Tom [10]

Answer:

The circumference of the following circle is 9π (around 28.274)

Step-by-step explanation:

The circumference can be found by using the following formula, where d is the diameter of the circle...

dπ = 9π ≈ 28.274

7 0

3 years ago