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NemiM [27]
3 years ago
10

What is the volume of this rectangular prism? 30.75 cm^3

Mathematics
1 answer:
Alex787 [66]3 years ago
3 0

This question is incomplete. Because it lacks the diagram of the Rectangular prism. Find attached to this answer the appropriate diagram.

Answer:

295.2 cm³

Step-by-step explanation:

A Rectangular Prism is a 3 dimensional geometric shape.

The formula used to calculate the volume of the Rectangular Prism = Length × Width × Height

Length = 15cm

Height = 4.8cm

Width = 4.1cm

Volume of the Rectangular Prism = 15cm × 4.8cm × 4.1cm

= 295.2 cm³

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If angle a has the terminal ray that falls in the fourth quadrant and cosine a equals 5/9 then determine the value of sin a in s
Tema [17]

Answer: -\dfrac{2\sqrt{14}}{9}

Step-by-step explanation:

Given

\cos a=\dfrac{5}{9}

a lies in the fourth quadrant

So, sine must be negative in the fourth quadrant

Using identity \sin ^2 x+\cos^2 x=1 to find sine value

\Rightarrow \sin^2 a=1-\dfrac{5^2}{9^2}

\\\\\Rightarrow \sin^2 a=1-\dfrac{25}{81}\\\\\\\Rightarrow \sin^2 a=\dfrac{56}{81}\\\\\\\Rightarrow \sin a=-\sqrt{\dfrac{56}{81}}\\\\\\\Rightarrow \sin a=-\dfrac{2\sqrt{14}}{9}

8 0
3 years ago
The predicted cost c (in hundreds of thousands of dollars) for a company to remove p% of a chemical from its waste water is show
alukav5142 [94]
We presume your cost function is
  c(p) = 124p/((10 +p)(100 -p))

This can be rewritten as
  c(p) = (124/11)*(10/(100 -p) -1/(10 +p))

The average value of this function over the interval [50, 55] is given by the integral
  \frac{1}{55-50} \times \frac{-124}{11} \int\limits^{55}_{50} {(\frac{1}{x+10}+\frac{10}{x-100})} \, dx
This evaluates to
  (-124/55)*(ln(65/60)+10ln(45/50)) ≈ 2.19494

The average cost of removal of 50-55% of pollutants is about
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8 0
3 years ago
Which statement best describes how to determine whether f(x) = x3 + 5x + 1 is an even function?
kvasek [131]

Answer: Determine whether (–x)3 + 5(–x) + 1 is equivalent to x3 + 5x + 1.

To determine if a function is even, we need to check if f(-x)=f(x).

3 0
2 years ago
Hi I rly need some help plz answer;)
weeeeeb [17]

Answer:

Step-by-step explanation:

1.8kg into grams

1.8kg = 1800 grams

Total toys = 6

Weight of one toy = 1800 ÷ 6 = 300 grams

Weight of 4 toys = 300 x 4 = 1200 grams = 1.2kg

4 0
3 years ago
Read 2 more answers
your class is making a rectangular poster for a rally. the posters design is 6 in. high by 10 in. wide. the space allowed for th
Kay [80]

I FOUND YOUR COMPLETE QUESTION IN OTHER SOURCES.

 PLEASE SEE ATTACHED IMAGE.

 For this case the area is given by:

 A = (22 + x) * (28 + x) = 722

 Rewriting we have:

 616 + 22x + 28x + x ^ 2 = 722

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 x = 2.04 inches:

 Answer:

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 x = 2inches

3 0
3 years ago
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