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2 years ago

which unit would you use to measure the volume of a small cardboard box a cubic centimeters b grams c degrees d liters

Mathematics

2 answers:

MatroZZZ [7]2 years ago

8 0

Degrees measures temperature,
liters measures liquids,
grams measures mass,
cubic centimeters measures volume.

kogti [31]2 years ago

7 0

Answer:

A:Cubic centimeters

Step-by-step explanation:

We are given that some units

We have to find that which unit you would use to measure the volume of box.

We know that when side of cardboard box is given in meters then S.I unit of volume of box=cubic meters.

When side of box is given in cm then the S.I unit of volume is cubic centimeters.

When a substance is liquid

Then , volume of liquid is measured in litres or mL.

Gram is a unit of volume

Degrees is unit of temperature.

Hence, small cardboard box is solid then its volume can be measure in cubic centimeters

Therefore, option A is true.

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Find an equation of the circle that has center (-1,1 ) and passes through (1,-6)

Ivahew [28]

Answer:

$(x+1)^2+(y-1)^2=53$

Step-by-step explanation:

The standard form for the equation of a circle is $(x-h)^2+(y-k)^2=r^2$ , where h is the x coordinate of the center, k is the y coordinate, and r is the radius. To find the radius of this circle, we can simply find the distance from the center to any of the points on its circumference. Using the distance formula, you know that the distance from (-1,1) to (1,-6) is:

$\sqrt{(1-(-1))^2+(1-(-6))^2}=\sqrt{2^2+7^2}=\sqrt{4+49}=\sqrt{53}$

Therefore, the equation of this circle is:

$(x+1)^2+(y-1)^2=53$

Hope this helps!

7 0

2 years ago

The line through (1,6) and (0,3) passes through every quadrant expect one. Which one?

KATRIN_1 [288]

4 quadrant

plot the graph of the line

6 0

2 years ago

A rectangular storage container with an open top is to have a volume of 24 cubic meters. The length of its base is twice the wid

Mariana [72]

Answer:

419.25

Step-by-step explanation:

The calculation of the cost of materials for the cheapest such container is shown below:-

We assume

Width = x

Length = 2x

Height = h

where, length = $2 \times width$

Base area = lb

= $2x^2$

Side area = 2lh + 2bh

= 2(2x)h + 2(x)h

= 4xh + 2xh

Volume = 24 which is lbh = 24

$h = \frac{24}{2x^2} \\\\ h = \frac{12}{x^2}$

Now, cost is

$= 13(2x^2) + 9(4xh + 2xh)\\\\ = 13(2x^2) + 9(4x + 2x)\times \frac{12}{x^2} \\\\ = 26x^2 + \frac{648}{x}$

now we have to minimize C(x)

So, we need to compute the C'(x)

$= 52x - \frac{648}{x^2}$

C"(x) $= 52x - \frac{1,296}{x^3}$

now for the critical points, we will solve the equation C'(x) = 0

$= 52x - \frac{648}{x^2} = 0\\\\ x = \frac{648}{52}^{\frac{1}{3}}$

$C" = ((\frac{648}{52} ^{\frac{1}{3} } = 52 + \frac{1296}{(\frac{648}{52})^\frac{1}{3} )^3}\\\\ = 52 + \frac{1296}{\frac{648}{52} } >0$

So, x is a point of minima that is

= $(\frac{648}{52} )^\frac{1}{3}$

Now, Base material cost is

$= 13(2x^2)\\\\ = 26(\frac{648}{52} )^\frac{2}{3}$

= 139.75

Side material cost is

$= \frac{648}{x} \\\\ = \frac{648}{(\frac{648}{52})^\frac{1}{3} }$

= 279.50

and finally

Total cost is

= 139.75 + 279.50

= 419.25

4 0

2 years ago

Mr. Marcucci received a bonus of $496 from his employer. He has to pay 33% of his bonus to taxes. How much will Mr. Marcucci pay

tiny-mole [99]

Edit: 33% is not $\frac{1}{3}$ , therefore my solution is wrong. The correct answer is 0.33 x 496, which is $163.68

The following is the original solution, which is incorrect.
33% = $\frac{1}{3}$ . Multiply the bonus of $496 by $\frac{1}{3}$ to get the solution of $\frac{496}{3}$ , or 165 and $\frac{1}{3}$

Therefore the solution is $165.33

7 0

3 years ago

Read 2 more answers

Two angle of a tranigle measure 55 and 20 what is the measure of the third angle

wariber [46]

Answer:

105 degrees

Step-by-step explanation:

Recall that the sum of angles in a triangle is 180 degrees. As such, where a, b and c are the angles of a triangle then

a + b + c = 180 ( all in degrees)

Given that two angles of a triangle measure 55 and 20, let the size of gthe 3rd be T then

55 + 20 + T = 180

simplify

75 + T = 180

Subtract 75 from both sides

T = 180 - 75

T = 105

7 0

2 years ago