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dalvyx [7]
3 years ago
8

Kyle has a storage box that is 2 ft. Long, 3 ft. High, and has a volume of 12 ft. 3 12 ft.3. Myla has a storage box that is 4 ft

. High, 2 ft. Long, and has a volume of 16 ft. 3 16 ft.3. What are the widths of Kyle and Myla's boxes? Explain how you know.
Mathematics
1 answer:
Alex17521 [72]3 years ago
4 0

Answer: The widths of Kyle and Myla's boxes is the same as 2 ft.

Step-by-step explanation:

Formula : Volume of cuboidal box = length x width x height

width=\dfrac{Volume}{length\times height}

Given: Kyle has a storage box that is 2 ft. Long, 3 ft. High, and has a volume of 12 ft³ .

width=\dfrac{12}{2\times3}=2\ ft.

Myla has a storage box that is 4 ft. High, 2 ft. Long, and has a volume of 16 ft³.

width=\dfrac{16}{4\times2}=2\ ft.

Hence, the widths of Kyle and Myla's boxes is the same as 2 ft.

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What is the approximate volume of the cone?
Mnenie [13.5K]

Answer:

A. 1206 cm³

Step-by-step explanation:

We have a cone and are asked to find the approximate volume of it.

Keep in mind we are using π for 3.14

The forumla of a cone is V = πr²\frac{h}{3}

We know the radius = 12

and the height = 8

Substitute :

V = π12²\frac{8}{3}

Since these are multiplied with each other, we can first start off with multiplying the fraction, including with factoring 12²:

V = \frac{2^4*3^2*8\pi }{3}

Cancel the common factor - 3 :

V = 2^4 * 8 * 3\pi

Multiply 8 and 3π :

V = 2^4 * 24\pi

Solve the exponent :

V = 16 * 24\pi

Multiply :

V = 384\pi

Multiply for the final answer :

1205.76 cm³

which can be rounded up to

A. 1206 cm³

3 0
3 years ago
A<br> Find the value of x. Your answer must be exact.<br> 30<br> 9
OLEGan [10]
Tan30=9/x so it will be 9((3)^1/2)
4 0
3 years ago
Read 2 more answers
Write the equation of a line perpendicular to y=0.25x-7 and passes through the point -6,8
horrorfan [7]

the equation of a line perpendicular to y=0.25x-7 and passes through the point (-6,8) is y=-4x+30

Step-by-step explanation:

We need to write equation of line perpendicular to y=0.25x-7 and passes through the point (-6,8)

Since the line y=0.25x-7 is in slope-inetercept form y=mx+b

the slope of line m = 0.25

As, the new line is perpendicular to the given line so, slopes of lines that are perpendicular are: slope = -1/slope1

So, slope will be -1/0.25 = -4

Now, finding y-intercept.

y=mx+b8=4(-6)+b\\8=-24+b\\b=8+24\\b=30

So, value of y-intercept b = 30

Now the equation of the required line having slope m= -4 and b =30 will be:

y=mx+b\\y=-4x+30

So, the equation of a line perpendicular to y=0.25x-7 and passes through the point (-6,8) is y=-4x+30

Keywords: Equation of line, slope-intercept form

Learn more about slope-intercept form at:

  • brainly.com/question/12954015
  • brainly.com/question/1979240
  • brainly.com/question/2601054

#learnwithBrainly

3 0
3 years ago
Sara had 324 dollars to spend on 9 books. After buying them she had 18 dollars. How much did each book cost?
larisa86 [58]
Each book costs $34 for this problem you need to first subtract 18 from 324 which gets you 306 then divide 306 by 9 and you get 34
7 0
3 years ago
Read 2 more answers
Any help on this???????????
Ivahew [28]

Answer:

x = 121°

Step-by-step explanation:

The angle supplementary to 115° is 180 - 115 = 65° and the angle that forms a full circle with 304° is 360 - 304 = 56°. Since the measure of an exterior angle is equal to the sum of its remote interior angles, we know that x = 65 + 56 = 121°.

7 0
3 years ago
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