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igor_vitrenko [27]
3 years ago
9

A box of cereal is shaped like a rectangular prism. The box is 20 centimeters long and 30 centimeters high. It's volume is 3600

cubic centimeters. Find the width of the box.
So basically I need the width using length height and volume.
Mathematics
2 answers:
Juli2301 [7.4K]3 years ago
8 0
With a rectangular prism with a length of 20 cm, height of 30 cm, and volume of 3600 cm, first set up the formula for the volume of a rectangular prism.

V=bwh

Then, plug in your known numbers

3600=20*30*w

Simplify

3600=600w

Use inverse operations to solve for w

3600/600=6

The width is 6 cm
Rufina [12.5K]3 years ago
4 0

Answer:

1700 cm

Step-by-step explanation

5 x 30 = 150

the total area  of the sides is 2 x 150 = 300

the bottom and the top are both 5 by 20 rectangles

so 5 x 20 is 100

and 2 x 100 = 200

the back and the front are both 30 by 20

30 x 20 = 600

6000 x 2 =1200

300 + 200 + 1200 = 1700

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Find the distance between the two points in simplest radical form.<br> (-1,9) and (4, -3)
jolli1 [7]

Answer:

GIVEN BY POINTS :-

( -1, 9) , ( 4 , -3)

Here ,

\bullet  \: \:  x _{1} = - 1 \\ \bullet \: \:  x _{2} = 4 \\ \bullet \: \:   y _{1} = 9 \\ \bullet \: \:    y _{2} =  - 3 \\

Using Distance formula :

=  >  \sf d = \sqrt{( {x _{2} - x _{1}) }^{2} + {( {y _{2} - y _{1}) }^{2} } } \\ \\  =  > \sf  d = \sqrt{ ({ 4  + 1)}^{2} + { ( - 3 - 9)}^{2} } \\  \\ =  >  \sf d = \sqrt{ {5}^{2} + {( - 12)}^{2} }  \\ \\  =  > \sf d = \sqrt{25 + 144}  \\ \\  =  > \sf d = \sqrt{169}  \\ \\ =  > \boxed{ \sf{  d = 13\:units }}\\

8 0
3 years ago
Which shows the expression below simplified? 0.00048 - (3.4 × 10-5) A. 4.46 × 10-4 B. 3.39952 × 10-5 C. 4.46 × 10-5 D. 1.4 × 10-
MakcuM [25]

Option C

The simplified form of given expression is 4.46 \times 10^{-4}

<em><u>Solution:</u></em>

Given that we have to simplify the expression shown below

0.00048 - (3.4 \times 10^{-5})

Let us first convert 0.00048 to scientific notation

<em><u>Steps to follow:</u></em>

Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point. The resulting decimal number is a.

Count how many places you moved the decimal point. This number is b.

If you moved the decimal to the left b is positive.

If you moved the decimal to the right b is negative.

If you did not need to move the decimal b = 0.

Write your scientific notation number as a x 10^b and read it as "a times 10 to the power of b."

Remove trailing 0's only if they were originally to the left of the decimal point.

0.00048 = 4.8 \times 10^{-4}

So the given expression becomes,

\rightarrow 4.8 \times 10^{-4} - 3.4 \times 10^{-5}

Let us make the exponent of second term as -4

\rightarrow 4.8 \times 10^{-4} - 0.34 \times 10^{-4}

Take 10^{-4} as common term,

\rightarrow 10^{-4} (4.8 - 0.34)

\rightarrow 4.46 \times 10^{-4}

Thus option C is correct

7 0
3 years ago
Use trigonometry to find the missing side. Round your answer to the nearest tenth (one decimal place)
Alchen [17]

Given:

A figure of a right triangle.

To find:

The missing side by using the trigonometric ratios.

Solution:

In a right angle triangle,

\cos \theta=\dfrac{Adjacent}{Hypotenuse}

In triangle ABC,

\cos A=\dfrac{AC}{AB}

\cos (31^\circ)=\dfrac{b}{270}

0.857=\dfrac{b}{270}

Multiply both sides by 270.

0.857\times 270=b

231.39=b

b\approx 231.4

Therefore, the missing side length is b=231.4 inches.

5 0
3 years ago
Shane went bowling with his friends. The bowling alley charges $20 for an hour of group bowling plus a fee to rent each pair of
ValentinkaMS [17]

Answer:

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Step-by-step explanation:

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2 years ago
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Marrrta [24]

Answer: Option d.

Step-by-step explanation:

The trigonometric identity needed is:

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Substitute it into csc^2\theta=cot^2\theta+1:

csc^2\theta=(\frac{4}{3})^2+1

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8 0
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