All categories

3 years ago

A cuboid with a volume of 924 cm^3 has dimensions

Mathematics

1 answer:

eduard3 years ago

4 0

Answer:

Step-by-step explanation:

Volume of a cuboid is given by

V = l*w*h

924 = 4 (x+1) (x+11)

FOIL

924 = 4(x^2 +11x+x+11)

924 = 4(x^2+12x+11)

Divide each side by 4

231 = (x^2+12x+11)

Subtract 231 from each side

0 = x^2 +12x +11-231

0 = x^2 +12x - 220

Factor

0 = (x+22) (x-10)

Using the zero product property

x+22 =0 x-10 =0

x=-22 x=10

We cannot have a negative length

x=10

The side lengths are 4, 10+1, 10+11

4,11,21

The longest is 21

You might be interested in

Which mixed number is equal to 18/8 <br> 2 6/9<br> 2 5/8<br> 2 1/4<br> 1 2/8

Galina-37 [17]

Answer: 2 1/4

Step-by-step explanation:

4 0

2 years ago

150% of what number is 34

Svetradugi [14.3K]

150% of 51 is 34. So your answer is 51

6 0

2 years ago

Read 2 more answers

The Department of Commerce in a particular state has determined that the number of small businesses that declare bankruptcy per

skad [1K]

Answer:

B) 0.1487

Step-by-step explanation:

Let $X$ be the discrete random variable that represents the number of events observed over a given time period. If $X$ follows a Poisson distribution, then the probability of observing $k$ events over the time period is:

$P(X=k)=\frac{\lambda^{k} *e^{-\lambda} }{k!}$

Where:

$\lambda=Mean\\k=number\hspace{3}of\hspace{3}events\\e=Euler's\hspace{3}number$

So, the probability that exactly 5 bankruptcies occur next month is:

$P(X=5)=\frac{6.4^{5} *e^{-6.4} }{5!} =\frac{17.84083537}{120} =0.1486736281\approx0.1487$

4 0

2 years ago

A suit with an original price of $290 was marked down 33%. You have a coupon good for an additional 36% off. What is the final c

TiliK225 [7]

Answer:

$20.01

Step-by-step explanation:

x 69

------ × --------

290 100

69 = 33 + 36

multiply 290 ×69 then divide by 100 to find c

4 0

2 years ago

What is the measure of ∠2 if c∥d ?

Ivahew [28]

Since both C & D are parallel, angle 2 is a corresponding angle to the angle of 108 degrees, so angle 2 is also 108 degrees

7 0

3 years ago