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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 of the pyramid = (1/3)*area of base *height

= (1/3)*10*24*13 = 1040 cubic units.

The total surface area = area of rectangular base + area of 2 isosceles triangles with a base of 24 units + area of 2 isosceles triangles with a base of 10 units.

Area of rectangular base = 24*10 = 240 sq units.

Answer:

A, f(x)=x-4

Step-by-step explanation:

f(x) is basically just another way to write y.

So we have the slope is 1, and the y intercept is -4, thus the equation is f(x)=x-4

Answer:

A)[tex]^{28}P_4}=491400[/tex]

Step-by-step explanation:

Total number of members = 28

We are supposed to find the no. of ways the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members

When 1 member is selected for Chairman position

So, 27 members will be left for the selection for the position of Vice chairman

When 1 member out of 27  is selected for Vice chairman position

So,26 members will be left for the selection for the position of secretary

When 1 member out of 26  is selected for secretary position

So,25 members will be left for the selection for the position of treasurer

Permutation relates to the act of arranging all the members of a set into some sequence or order,

The combination is a way of selecting items from a collection, such that (unlike permutations) the order of selection does not matter.

So, we will use permutation over here

Formula [tex]^nP_r=\frac{n}{(n-r)!}[/tex]

Substitute n = 28 and r = 4

So,[tex]^{28}P_4=\frac{28!}{(28-4)!}=491400[/tex]

So, Option A is true

A)[tex]^{28}P_4}=491400[/tex]

Hence There are 491400 ways the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members.

The number of ways the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members is 491,400.

The given parameters

[tex]nP_r =\frac{n!}{(n- r)!}[/tex]

[tex]28 P4 = \frac{28!}{(28-4)!} = \frac{28!}{24!} = 491,400[/tex]

Thus, the number of ways the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members is 491,400.

Learn more about permutation here: https://brainly.com/question/3086912

Answer:

No picture

Step-by-step explanation:

The picture isnt attached :( but the equation for the volume of a cylinder is: Hx [tex]\pi r^{2}[/tex]

H= height    R: Radius

So for example if the height was 10 and the radius was 2 you would do the following:

Hx[tex]\pi r^{2}[/tex]

= 10x 3.14x[tex]2^{2}[/tex]

= 10x 3.14x 4

= 10x 12.56

= 125.6cm^3 :)

[tex]\pi r^{2}[/tex] is the equation on finding the are of the circle (bottom circle or top circle) we then multiply is by its height because its like the circle being stacked up together until it reaches the height. :) Hope this helps

Answer:

37 is the number

Step-by-step explanation

37- 13 = 25

Answer: The angles are 135° and 45°.

Step-by-step explanation:

In this situation, we have two parallel lines that are cut by another line, and the interior angles are the ones created in between the parallel lines and the third line.

If both angles are on the same side, then we must have that the sum of the angles adds up to 180°.

If the angles are A1 and A2 we have:

A1 + A2 = 180°

and,  we also know that A1 = 3*A2, we can replace it in the previous equation and get:

3*A2 + A2 = 180°

4*A2 = 180°

A2 = 180°/4 = 45°

then A1 = 3*45° = 135°

The angles are 135° and 45°.

Answer:

no

Step-by-step explanation:

When you add 1 90+10 it equals 2 00. The hundreds digit, underlined, changed.

Answer:

the answer is no

Step-by-step explanation:

500+100=600

Answer:

Step-by-step explanation:

Same side interior angles refers to the pair of angles which are inside the two "parallel" lines and at the same side of the transversal line.

Notice that angles BGH and DHG are same side interior angles. Similarly, angles AGH and CHG are also same side interior angles.

Therefore, the right answer is ∠DHG.

Answer:

Your in middle school you should know this figure this by now FIGURE IT OUT ON YOUR OWN.....

Step-by-step explanation: yeah

Answer:

i dont know the volume but if it tells you what each book measures. Ive left a guide below to distribution.

Step-by-step explanation:

volume = 1

0.5 +0.5 = 1

volume 2

1+1 = 2

you just need to use the word distribution and show like this

(V): amount  / 2 =  new amount (adding cm^3)

To work out volume you take the length and width and height of the shelf of the books. you show your workings like this.

(V): L x Wx H =

You then multiply the amount of books if you was not given the measure of the bookcase shelf.

IF the bookcase is double like the picture and doesnt show the shelf measure than you half the hieght only and keep the same length and width.

H/2 =   first and enter below the new height.

(V): L xWx H  = this is the whole shelf

(V) =     / 2   you enter the Volume amount infront of the /2 and this way you see the volume for the math textbooks being 1/2 of 1  by (/2)  

Use the found answer

LAbel

MAth text books (V) =

Bounty paper towells (V) =

Then see how many cubic sheets fit.

ie) if they measure 30cm x 1cm x 30xm

and the shelf measures 30cm x 60 x 60

you can count up from the second values as the first values fit the length

The width = 1 x 60 - 60 books.  (example 1cm Width thickness)

Then see the height does not change to the height of the books.

IF it does change then for every 2cm change you divide the height of the bookcase by 60-1, 60-2 or 60-3, 60-4cm etc. just one of these that fits the indifference of height

then multiply if 60-58cm = 58 we know this is 2 / 60 x 100 = 3.33%

To calculate percentage decrease: see above

First: work out the difference (decrease) between the two numbers you are comparing. Then: divide the decrease by the original number and multiply the answer by 100. If your answer is a negative number, then this is a percentage increase.

You then apply (V) of shelf number x 0.03 and then subtract from that shelf volume to show your workings or reapply the same technique to see how many fit as decrease ie) 0.50% =  amount x 0.50 = 1/2 new amount.

Answer:

12, 16

Step-by-step explanation:

hope it helps

Answer:

x = 45°

Step-by-step explanation:

Look at the picture*

Answer:

Baseball

Step-by-step explanation:

You look at the table and find that 38/50 students play baseball, while the other 12 play soccer.

Answer:

19 is d 26 is c 27 is b

Step-by-step explanation:

Answer:

B. (3, -6)

Step-by-step explanation:

Given line

y= 1/4x + 3

given line is in form of y = mx + c

where m is slope of line and c is y intercept

thus, in line  y= 1/4x + 3  m is 1/4 is slope

we know product of slope of two perpendicular line is -1

m1 * m2 = -1

let the line perpendicular to  y= 1/4x + 3 be

y = mx + c

thus

m * 1/4 = -1

m = -4

Thus, in y = mx + c , m is -4

updated equation until now by putting value of m as -4

y = -4x + c

this, line passes through point (0,6)

putting x as 0 and y as 6 in y = -4x + c

we have

6 = -4*0 + c

=> c = 6

Thus, equation of perpendicular line is

y = -4x + 6

_______________________________________________

we have to find which point from the option lies on y = -4x + 6

lets plug in value of x   from given points and see if value of y calculated  is as given in option . if the value is different then point does not lie on perpendicular line

(4, -2)

y = -4*4 + 6

y = -16 + 6 = -10

-10 is not equal to -2 as given in option, thus point (4,-2 ) does not lie on

y = -4x + 6

(3,-6)

y = -4*3 + 6

y = -12 + 6 = -6

-6 is  equal to -6 as given in option, thus point (3,-6 ) does  lie on

 y = -4x + 6

(0, -6)

y = -4*0 + 6

y = 0 + 6 = 6

6 is not equal to -6 as given in option, thus point (0,-6 ) does not lie on

y = -4x + 6

(-2,2)

y = -4*-2 + 6

y = 8 + 6 = 14

14 is not equal to 2 as given in option, thus point (-2,2 ) does not lie on

y = -4x + 6

Thus, option  B. (3, -6) is the correct choice.

Answer:

1,000

Step-by-step explanation:

The more rolls you make, the closer the experimental and theoretical probabilities get closer together

Answer:

1000

Step-by-step explanation:

Answer:

220 meters=22000 centimeters

Step-by-step explanation:

Hope this helps!!! :)

Answer:

D) 2 points

Step-by-step explanation:

Compare a couple of points in the clumps of points and that is your answer

Answer:The initial value is the beginning output value, or the y-value when x = 0. The rate of change is how fast the output changes relative to the input, or, on a graph, how fast y changes relative to x. You can use initial value and rate of change to figure out all kinds of information about functions.

Because the inputs go by 2, the rate of change is half the difference of the outputs, or 4.25.

Subtract 4.25 repeatedly 3 times to get to an output with an input of 0.

Calculate 42.25 – (3 x 4.25).

The initial value is 29.50.

Answer:

28

Step-by-step explanation:

When you put the numbers in order and then cut into 4 equal parts 28 is the first cut

sorry idk if that made sense or not

Answer:

For question 2: the answer is 84 cm

Step-by-step explanation:

The formula for the area of a rhombus/parralelogram is A = bh or base times height.

Answer:

For question 4: the answer is 465 cm

Step-by-step explanation:

The formula for a rhombus is A = bh or base times height. If you fill in those values for the base and height it would be A = 30(15.5)

Answer:

For question 5: the answer is 45

Step-by-step explanation:

The formula for a parralellgram is A = bh. So in this case, A = 18(2.5)

Answer:

For question 6: the answer is 180 feet

Step-by-step explanation:

The formula for a parallelogram is A = bh. But the height is in yards so we would have to convert it into feet. 3 yards equals 9 feet. SO, 20(9) equals 180.

Answer:

For question: 9 the answer is 21

Step-by-step explanation:

The formula for a parrallelogram is A = bh. But in this case the area is filled in for us. 336 = b(16). To find the area, we usually multiple but we will do the opposite because we have to find the base. So, 336/16 equals the base of 21.

Answer:

For question 10: the answer is 11.7

Please mark brainliest I worked hard on these questions.

Answer:

164

Step-by-step explanation:

82 multiplied by 2

Answer:

164

Step-by-step explanation:

2 *82=164

Answer:

1. 140 in²

2. 2.25 in²

3. 182 in²

4. 55 in²

5. 374.75 in²

Step-by-step explanation:

1. Area of each triangle: 10*7*1/2 = 35 in²

Area of the roof = 4*35 = 140 in²

2. Area of the entrance hole: 1.5*1.5 = 2.25 in²

3. Area of each trapezoid: (8+5)/2*7 = 45.5 in²

Area of the sides: 4*45.5 = 182 in²

4. Area of the square of the base: 5*5 = 25 in²

Area of each rectangle: 1.5*5 = 7.5 in²

Area of the four rectangles = 4*7.5 =  30 in²

Area of the base: 25 + 30 = 55 in²

5. The  total amount of material  needed for the entire birdhouse is: 140 - 2.25 + 182 + 55 = 374.75 in²

Answer:

0.49

Step-by-step explanation:

0.7^2 is the same as 0.7*0.7.  You just have to times them together!

Hope this helps!

The solution is z^2= 0.49.

A square root of a number is a value that, when multiplied by itself, gives the number. In mathematics, a square root of a number x is a number y such that y² = x; in other words, a number y whose square is x.

For example, 4 and −4 are square roots of 16, because 4² = ² = 16.

here, we have.

z^2=z*z

when z = 0.7

z^2= 0.7*0.7

     =0.49

0.7^2 is the same as 0.7*0.7.

Hence, the solution is z^2= 0.49.

To learn more on square root click:

brainly.com/question/29286039

#SPJ2

Answer:

see explanation

Step-by-step explanation:

1

Given

2x² - 16 = 0 ( add 16 to both sides )

2x² = 16 ( divide both sides by 2 )

x² = 8 ( take the square root of both sides )

x = ± [tex]\sqrt{8}[/tex] = ± 2[tex]\sqrt{2}[/tex]

------------------------------------

2

Given

- 5x² + 9 = 0 ( subtract 9 from both sides )

- 5x² = - 9 ( divide both sides by - 5 )

x² = [tex]\frac{9}{5}[/tex] ( take the square root of both sides )

x = ± [tex]\sqrt{\frac{9}{5} }[/tex] = ± [tex]\frac{3}{\sqrt{5} }[/tex]

-----------------------------------------

3

Given

6x² - 15 = 27 ( add 15 to both sides )

6x² = 42 ( divide both sides by 6 )

x² = 7 ( take the square root of both sides )

x = ± [tex]\sqrt{7}[/tex]

Answer:

hi there!

The correct answer is: 5

Step-by-step explanation:

The distance formula: [tex]\sqrt{(x1-x2)^{2} + (y1-y2)^{2} }[/tex]

and since the two points given are: (2,1) and (5,5)

you plug in the points and you get: 5

[tex]\sqrt{(2-5)^{2} + (1-5)^{2} }[/tex]

[tex]\sqrt{(-3)^{2} + (-4)^{2} }[/tex]

[tex]\sqrt{9+16}[/tex]

[tex]\sqrt{25 } = 5[/tex]

Answer:

The correct answer is five

Step-by-step explanation:

The slope is 4/3 and since  the distance can be found by creating a triangle we can just assume it is 5 because of Pythagorean triples

Answer:c

Step-by-step explanation:

Answer:

p = 50°.

Step-by-step explanation:

To find the value of 'p', we will need to solve for the measure of the other angles of the triangle using the Supplementary Angles theorem.

Notice 140° at the top of the figure. This angle is supplementary to the top angle of the triangle. We can find this angle by:

180 - 140 = 40°.

Repeat this same step for the other angle.

180 - 90 = 90°.

Since the sum of all 3 sides = 180, we must subtract these from 180 to get the measure of 'p'.

180 - 90 - 40 = 50°.

Therefore, p = 50°.

Answer:

There are 3 A's and 2 N's so the answer is B.