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A small bar of gold measures 20 mm by 100 mm by 2 mm. One cubic millimeter of gold weighs about 0.0005 ounces. Find the volume in cubic millimeters and the weight in ounces of this small bar of gold.


The volume of the bar is ___ cubic millimeters and the weight of the bar is ___ ounce(s).

Answer:

The volume remaining is approximately  536 cm³

Step-by-step explanation:

The volume of a hemisphere is the volume of the sphere divided by two, therefore it's formula is:

[tex]\text{volume hemisphere} = \frac{4}{6}*pi*r^3\\\text{volume hemisphere} = \frac{4}{6}*pi*8^3 = 1072.33 \text{ } cm^3[/tex]

While the volume of the cone is:

[tex]\text{volume cone} = \frac{\pi*r^2*h}{3}\\\text{volume cone} = \frac{\pi*(8)^2*8}{3}\\\text{volume cone} = \frac{\pi*512}{3} = 536.1651 \text{ } cm^3[/tex]

What remains on the hemisphere is the difference between these volumes, therefore:

[tex]\text{remaining volume} = 1072.33 - 536.17 = 536.16 \text{ } cm^3[/tex]

The volume remaining is approximately  536 cm³

Step-by-step explanation:

1.Draw a triangle

2. Measure one of the sides of the triangle

3. Place a point at the midpoint of one of the sides of the triangle.

4. Draw a line segment from the midpoint to the opposite vertex. The segment you just created is called a median.

5. Repeat steps 2-4 for the remaining two sides of the triangle.

Answer:

y=x^2+7x+12

Step-by-step explanation:

Answer:

12:00 AM

Step-by-step explanation:

Taking the lodge as the center of the coordinate system, the position of each person is:

William: 6+3*t

Nancy: 5*t

Edgar: 12*t

where t is in hours after 10:00 am

Between the positions of William and Nancy, a right triangle is formed, where their distance is the hypotenuse.

WN = √[(5*t)² + (6+3*t)²]

Similarly, Between the positions of Nancy and Edgar:

NE = √[(5*t)² + (12*t)²]

If the distance between Nancy and Edgar is 10 miles greater than the distance between Nancy and Willam, then

NE = WN + 10

√[(5*t)² + (12*t)²]  = √[(5*t)² + (6+3*t)²] + 10

With the help of the graph of this equation, we find that t = 1.95 or approximately 12:00 AM

Answer:

-1/29+41/29*i

Step-by-step explanation:

(7+3i)/(2-5i)=(7+3i)(2+5i)/(2-5i)(2+5i)=(14+35i+6i+15i^2)/(4-25i^2)=

(14+41i-15)/(4+25)=(-1+41i)/29=-1/29+41/29*i

Answer: 60588

Step-by-step explanation:

= 89100 x 0.68

= 60,588

Answer:

B, 1/5*1/5*1/5*1/5=1/625

Answer:

B.

Step-by-step explanation:

because furries are alwasy right

Answer:

160 pounds at 2.70

240 pounds at 3.20

Step-by-step explanation:

Let x be the pounds and 2.70 per pound

400-x is the pounds and 3.20 per pound

there will be 400 pounds and 3.00 per pound

2.70 x + (400-x) *3.20 = 400 *3

Distribute

2.70x +1280-3.20x = 1200

Combine like terms

-.5x +1280 = 1200

Subtract 1280 from each side

-.5x = -80

Divide each side by -.5

x = -80/-/5

x =160

160 pounds at 2.70

400-160 = 240 pounds at 3.20

Answer:

9

Step-by-step explanation:

Take -14 minus -5

-14 - (-5)      Distribute the negative to -5

-14 + 5        Add

-9               Since distance can't be negative take the absolute value of -9

|-9| = 9

Answer:

the distance is 9

Step-by-step explanation:

its 9 because 14-5 = the distance of them on a number line

Answer:

6.5

Step-by-step explanation:

If M is the midpoint of PQ, PM is congruent to MQ. Midpoint means middle. So, the midpoint divides PQ in half. PQ = 13, and 13/2 = 6.5.

If In triangle PQR, PQ = 13, QR = 14, and PR = 15.  M is the midpoint of QR.  PM is: 12 cm.

In △PQR

M=Midpoint of side QR

PM =Median of the  iangle

Using Apollonius theorem

PQ ² +PR ² =2PM ² +2QM ²

13²+14²=2PM ² +2(1/2QR) ²

169+196=2PM ²+2(6)²

169+196=2PM ²+2(36)

365=2PM ²+ 72

2PM ²=293

Divide both side by 2

PM ²=293/2

PM ²=146.5

PM=11.97 cm

PM=12 cm (Approximately)

Therefore PM is 12 cm.

Learn more about Triangle PQR here:https://brainly.com/question/1270564

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Answer:

for 1 its -0.25 and 1.25

for 2 its -0.5. and 1.5

Step-by-step explanation:

idk if there is,  but just use the graph + common sense.

you don't need to solve it in any way

Answer:

The best phrase that describes a theorem in axiomatic system is :

A statement proven to be true using logic

Axiomatic system is a set of axiom  in which the axioms are derived from logic

hope this helps

Answer:

A statement proven to be true using logic

Axiomatic system is a set of axiom  in which the axioms are derived from logic

Answer:

g(5)=17

Step-by-step explanation:

g(x)=3x+2

Let x = 5

g(5) = 3*5+2

      = 15+2

      = 17

Answer:

17

Step-by-step explanation:

Just substitute 5 into the position of X

Answer:

a reflection and a dilation

Step-by-step explanation:

in the wording, it was stated that the triangle was reflected then dilated.

The correct answer is translation and a dilation

There are various types of transformations that can be applied to a coordinate point. The new point could become compressed/enlarged, reflected, rotated, etc.

The steps are as follow:

So the correct answer will be translation and a dilation

Learn more about translation and a dilation here:

https://brainly.com/question/1046778

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Answer:

Cone that has 3 times the height, but the same base

Step-by-step explanation:

The formula for cone's volume is 1/3bh while cylinder is just bh

Answer:

D

Step-by-step explanation:

The point is on 4 so it cannot be A or B, and it is a closed circle not an open circle so it cannot be C.

Answer:

x≥4

Step-by-step explanation:

There is a closed circle at 4  which means there is an equal to sign and the lines goes to the right which means greater than

x≥4

Answer:

a. it has rotational symmetry with an angle of rotation of 90°

Step-by-step explanation:

Answer:

[tex]\left\begin{array}{ccc}&Right-Handed&Left-Handed\\Boys&108&23\\Girls&99&16\end{array}\right[/tex]

[tex].18+.82=1[/tex]

[tex].14+.86=1[/tex]

[tex]\left[\begin{array}{cccc}&Right-Handed&Left-Handed&Total\\Boys&.82&.18&1\\Girls&.86&.14&1\end{array}\right][/tex]

[tex].41+.59=1[/tex]

[tex].48+.52=1[/tex]

[tex]\left[\begin{array}{ccc} &Right-Handed&Left-Handed\\Boys&.52&.59\\Girls&.48&.41\\Total&1&1\end{array}\right][/tex]

Step by Step:

Step which two decimals added together equal 1?

0.86, 0.48, 0.41, 0.82, 0.59, 0.14, 0.52, 0.18

[tex]0.14+0.86=1[/tex], [tex]0.18+0.82=1[/tex], [tex]0.41+0.59=1[/tex], & [tex]0.48+0.56=1[/tex]

Now solve for the rows in the first table

[tex]108+23=131\\108 divided by 131=0.82\\Well remember,0.82+0.18=1[/tex]

so there is the first row for boys in the first table

Now solve for the second rows in the first table

[tex]99+16=115\\99 divided by 115=0.86\\Well remember, 0.86+0.14=1[/tex]

so there is the second row for girls in the first table

Now we do pretty much the same for table 2 just it's columns instead of rows

[tex]108+99=207\\108 divided by 207=0.52\\Well remember 0.52+0.48=1[/tex]

So we put 0.52 under boys RH(right-handed) and 0.48 under girls RH.

[tex]23+16=39\\23 divided by 39=0.59\\Well remember, 0.59+0.41=1[/tex]

So we put 0.59 under boys LH(left-handed) and 0.41 under girls LH.

Hope this makes sense and helps!!!

Answer:

first box= boys= .82, .18  girls= .86, 14

second box= boys= .52 .59 girls= .48 .41

Step-by-step explanation:

i did the test

Answer:

Option c

Step-by-step explanation:

Converting all options into slope intercept, you get

a) y=-5x+4

b) y=5x+4

c) y=5x-4

d) y=-5x-4

option c has slope 5 and y-intercept -4

Answer:

27.4

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees

x+ 34.6+118 = 180

Combine like terms

x+152.6 = 180

Subtract 152.6 from each side

x +152.6-152.6 = 180-152.6

x =27.4

_________________________________

Solution,

x+118+34.6=180°( sum of angle in traingle)

or,x+152.6=180

or,X=180-152.6

X=27.4

The value of X is 27.4 °

hope it helps

Good luck on your assignment

_________________________________

Answer:

[tex]400\pi m^2[/tex]

Step-by-step explanation:

If the diameter is 40, the radius is 20.

The area is 400π

Answer:

D

Step-by-step explanation:

If you mean the sqrt of 43, then

sqrt 36 is 6

sqrt 49 is 7,

since sqrt of 43 is between sqrt 36 and sqrt 49,

sqrt of 43 is between 6 and 7

Y-intercept:

To find the y-intercept, where the line crosses the y-axis, you need to find the value of y when x is 0.

Slope:

To find the slope of the line, use the equation:

(y₂ - y₁)/(x₂ - x₁)

where (x₁, y₁) is one point on the line and (x₂, y₂) is a different point on the line.

Equation:

y = (y-intercept) + x(slope)

Answer:

[tex]=\frac{2x-3}{x}[/tex]

Step-by-step explanation:

[tex]=6x^2\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=\frac{3x\left(4x-6\right)}{2x\cdot \:3x}\\2x\cdot \:3x=6x^2\\=\frac{3x\left(4x-6\right)}{6x^2}\\\mathrm{Cancel\:}\frac{3x\left(4x-6\right)}{6x^2}:\quad \frac{4x-6}{2x}\\=\frac{4x-6}{2x}\\\mathrm{Factor}\:4x-6:\quad 2\left(2x-3\right)\\=\frac{2\left(2x-3\right)}{2x}\\\mathrm{Divide\:the\:numbers:}\:\frac{2}{2}=1\\=\frac{2x-3}{x}[/tex]

Answer:

then 0 and f have to be positive.

Step-by-step explanation:

Mark me brainlest.

Answer:

Its A and C  and F

Step-by-step explanation:

Answer:

(x + 2)^2 - 11.

Step-by-step explanation:

f(x) = x^2 + 4x - 7

Now x^2 + 4x = (x + 2)^2 - 4 so we have:

f(x) = (x + 2)^2 - 4 - 7

f(x) = (x + 2)^2 - 11.

Here, we are required to express x² + 4x - 7 in the form (x+a)² - b and determine the values of a and b.

By completing the square method;

a = (4/2) = 2.

Therefore, by expanding (x+a)² i.e (x+2)²

We therefore have; x² + 4x + 4

However, the question is given as x²+4x-7

Therefore, by comparison between;

x² + 4x + 4 and x²+4x-7; we have;

4 - b = -7, b = 7+4

Ultimately, b = 11

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