Here we need to remember that:
density = mass/volume
Only by using this equation, we will find that the mass of gold is 19,400 kg
In this case, we know that the gold is in the shape of a cube with side length of one meter.
Remember that for a cube of side length L, the volume is:
V = L^3
Then in this case, the volume of the cube of gold will be:
V = (1m)^3 = 1m^3
And we know that the density of the gold is:
density = 19.4 g/cc
cc = cm^3
density = 19.4 g/cm^3
Notice that we have different units of volume, so we would want to write the volume in cm^3
We know that:
1m^3 = (1×10^6)cm^3
Then the volume of the cube of gold is just:
V = (1×10^6)cm^3 = 1,000,000 cm^3
Now let's return to the density equation:
density = mass/volume
Solving for the mass, we get:
density×volume = mass
Now we can replace the two things in the left side:
(19.4 g/cm^3)×(1,000,000 cm^3) = mass = 19,400,000 g
Now remember that:
1000k = 1kg
Then we can rewrite:
mass = 19,400,000 g = (19,400,000/1000)kg = 19,400 kg
So the cube of gold has a mass of 19,400 kg, there is no way that two persons could carry this much gold into a cave.
if you want to learn more, you can read:
https://brainly.com/question/18320053
Gabriel was at the gym for 3/4 hours. He spent 1/2 of this time shooting baskets. What fraction of an hour did Gabriel spend shoot baskets?
Answer:
1/2×3/4=3/8h
3/8×8/8=
3/8h
The sum of three numbers is 576. One of the numbers, n, is 25 percent more than the sum of the other two numbers. what is the value of n?
Answer:
Step-by-step explanation:
x + y + n = 576
When something is 25% larger than something else, the effect is the same as multiplying by 1.25. Let's try it with an example
20 + (25/100)* 20 = 20 + 500/100 = 20 + 5 = 25. Now if you multiply 20 * 1.25 you get 25 which is just what you should get.
n = 1.25(x + y) Divide by 1.25
n / 1.25 = x + y Substitute n / 1.25 for x + y in the above equation
n/1.25 + n = 576 Multiply everything by 1.25
n + 1.25n = 576*1.25 Combine the left to get 2.25
2.25 n = 576 * 1.25 Divide by 2.25
n = 576*1.25 / 2.25
n = 320
is -17 a rational number or irrational number
Answer:
rational
Step-by-step explanation:
if a number can be written as a fraction, where p and q are integers and q is a non-zero number
prove that : Cos 2A =cot^2-1/cot^2+1
Answer:
[tex] \cos(2A) = { \cos }^{2} A - { \sin }^{2} A \\ = { \cos }^{2} A - \frac{1}{ \csc {}^{2} A} \\ \\ = \frac{( { \cos}^{2} A. \csc {}^{2}A ) - 1}{ { \csc }^{2} A} \\ \\ = \frac{( \frac{ { \cos}^{2}A }{ { \sin }^{2} A}) - 1 }{ { \csc }^{2} A} \\ \\ = \frac{ { \cot}^{2}A - 1 }{ { \csc}^{2} A} [/tex]
but csc²A = cot²A + 1:
[tex] = \frac{ { \cot}^{2}A - 1 }{ { \cot }^{2}A + 1 } [/tex]
# proved
if f(1)-3 and f(n)=f(n-1) +4 then find the value of f(5)
Answer:
f(1) = 3
f(2) = -2 * 3 + 1 = -5
f(3) = -2 * -5 + 1 = 11
f(4) = -2 * 11 + 1 = -21
f(5) = -2 * -21 + 1 = 43
Step-by-step explanation:
The equivalent matrices are
.
Answer:
Step-by-step explanation:
To be equivalent matrices must have the same dimemsions (rank)
dim A= (3,2)
dim B=(2,3)
dim C=(3,2)
dim D=(3,2)
C and D are equivalent since √4=2 !!!
Answer:
should be C and D, because-
Step-by-step explanation:
To be equivalent matrices must have the same dimension's
A= (3,2)
B=(2,3)
C=(3,2)
D=(3,2)
C and D are equivalent since √4=2
MARKING BRAINLIEST !!
which of the following are properties of all parallelograms select all that apply
answers
4) opposite sides are parallel
1) opposite angles are equal
5) all are quadrilateral
property's of a parallelogram
1)sum \: of \: angeles \: = 180 \\ 2)opposite \: sides \: are \: cogruent \\ 3)opposite \: angles \: are \: congruent \\ 4)cosecutive \: angles \: are \: supplymentary \\ 5)diaganols \: bisect \: \\ thnk \: you[/tex]
the sum of two numbers is 17 and their differance is 3
Answer:
10 and 7 are the numbers
Step-by-step explanation:
Let the number be x and y, ATQ, x+y=17 and x-y=3, solving it we will get x=10 and y=7
The sum of two numbers is 17 and their difference is 3.
Let's define the two numbers as x and y.
Sum of two numbers is 17
x + y = 17
Their difference is 3
x - y = 3
-----------------------------------------
Solve for x
x + y = 17
x = 17 - y
now that we have x, substitued x into x - y = 3
x - y = 3
17 - y - y = 3
17 - 2y = 3
-2y = -14
y = 7
we have y, 7, now let's substitue that into one of the equations to find x
x - y = 3
x - 7 = 3
x -7 + 7 = 3 +7
x = 10
the numbers are 10 and 7
hey please help i’ll give brain
Answer:
The answer is A. They are just inverses, but are essentially, the same problem. The order does not matter.
Step-by-step explanation:
10 A frustum is a portion of a solid. The frustum shown opposite is formed from a cone.
a What is the volume of the missing top cone? Give answers correct to the nearest cubic metre.
b What was the volume of the entire cone?
c What is the volume of the frustum?
Step-by-step explanation:
all you needed to do was a quick search on the internet : "volume of a cone".
and you get immediately :
pi×r²×h/3
the reason is similar to all other volume formulas : base area times height. for pyramids and cones there are factors included to reduce this a bit, because they simply don't go straight up from their base area, so they have less volume than comparable objects that do go straight up (like a cylinder compared to a cone).
r = radius
h = height
so, for a) we only need to use the calculator :
pi × 5² × 30 / 3 = pi×25×10 = 785.4 ≈ 785 m³
for b) we need to do the same thing, but with r = 10 and h = 60.
pi × 10² × 60 / 3 = pi×100×20 = 6283.2 ≈ 6283 m³
so, for c) we only need to subtract the result of a) from the result of b)
the frustum is the volume of the large cone minus the volume of small, top cone.
6283 - 785 = 5498 m³
The solids are similar. Find the volume V of the larger solid.
Answer:
9604
Step-by-step explanation:
V = (7/3)³ × 756
= 343/27 × 756
= 9604 ft³
Find the coordinates of the image of J (−5, −1) after the translation (x, y) → (x − 2, y).
A. (−7, −3)
B. (−5, −3)
C. (−3, −1)
D. (−7, −1)
The coordinates of the image of J (−5, −1) after the translation (x, y) → (x − 2, y) will be (−7, −1). Then the correct option is D.
What is a transformation of a point?A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.
The rule of the translation is given below.
(x, y) → (x − 2, y)
The coordinates of the image of J (−5, −1). Then the location of the point J after the translation will be
(x, y) → (x − 2, y)
(−5, −1) → (−5 −2, −1)
(−5, −1) → (−7, −1)
The coordinates of the image of J (−5, −1) after the translation (x, y) → (x − 2, y) will be (−7, −1). Then the correct option is D.
More about the transformation of a point link is given below.
https://brainly.com/question/27224339
#SPJ2
Someone help pleaseeee
A employer, who started a new business, has promised his employees a minimum starting wage of $3, with an increase of $2 every 4 years. Sketch a graph of wage as a function of time for 16 years. Assume the wages take effect at the beginning of the year where the change is made. (HINT : use a step function to represent the function.)
Upload your graph in the box below.
Answer:
y = 3 for 0 <= x < 4
y = 5 for 4 <= x < 8
y = 7 for 8 <= x < 12
y = 9 for 12 <= x < 16
y = 11 for 16 <= x < 20
x represents the number of years of employment.
for example, when x = 4, the employee has been there a full 4 years and is entitled to an additional 2 dollars wage to make the total wage equal to 3 + 2 = 5.
your graph stops at x = 16 because that's the number of years being considered.
at x = 16, the wage will be 11 dollars.
the closed circle indicates the value of y is valid at that value of x.
an open circle indicates the value of y is not valid at that value of x.
for example, when x = 4, y = 3 is not valid anymore, but y = 5 is.
on the 16th year of employment, the employee is entitled to an additional 2 dollars wage and starts earning at a wage of 11 dollars.
at employment (x = 0), the employee starts earning a wage of 3 dollars.
at 4 years (x = 4), the employee starts earning a wage of 5 dollars.
at 8 years (x = 8), the employee starts earning a wage of 7 dollars.
at 12 years (x = 12), the employee starts earning a wage of 9 dollars.
at 16 years (x = 16), the employee starts earning a wage of 11 dollars.
x represents a full year of employment.
y represents the wage the employee is entitled to earn.
if n(A) = 12, n(b) = 9 and n(AuB) = 16 then find the value of n (A-B)
Question has a slight error .we should find n(A[tex]\cap[/tex]B)
n(A)=12n(B)=9.$n(A\cup B)=16$[tex]\boxed{\sf n(A\cup B)=n(A)+n(B)-n(A\cap B)}[/tex]
[tex]\\ \rm\longmapsto n(A\cap B)=n(A)+n(B)-n(A\cup B)[/tex]
[tex]\\ \rm\longmapsto n(A\cap B)=12+9-16[/tex]
[tex]\\ \rm\longmapsto n(A\cap B)=5[/tex]
what is -2 1/3 - 1 1/2 =
Step-by-step explanation:
[tex] \frac{ - 21}{3} - \frac{11}{2} [/tex]
[tex] \frac{ - 21 \times 2 - 11 \times 3}{6} [/tex]
[tex] \frac{ - 42 - 33}{6} [/tex]
[tex] \frac{ - 75}{6} [/tex]
[tex]12.5[/tex]
I hope this will help you...please mark my answer as BRAINLIEST..,....Who on this app goes to Hixson High?
Help anyone can help me do the question 4,I will mark brainlest.
Answer:
Hello,
Step-by-step explanation:
[tex]A=(1,2)\\B=(0,-1)\\\overrightarrow{AB}=((0,-1)-(1,2)=(-1,-3)\ ||\overrightarrow{AB}||^2=1+9=10\\\overrightarrow{BC}=((3,-2)-(0,-1)=(3,-1)\ ||\overrightarrow{BC}||^2=9+1=10\\\\Triangle\ is\ isosceles.\\\\\overrightarrow{AB}.\overrightarrow{BC}=(-1,-3)*\left[\begin{array}{c}3\\-1\end{array}\right] =-3+3=0\\\\Triangle \ is\ right.\\\\[/tex]
Answer:
(Work below)
BRAINLIEST, PLEASE!
Step-by-step explanation:
A(1, 2) B(0, -1) C(3, -2)
The distance between A and B is:
3^2 + 1^2 = c^2
9 + 1 = c^2
c = 10^1/2
The distance between B and C is:
1^2 + 3^2 = c^2
1 + 9 = c^2
c = 10^1/2
The distance between C and A is:
4^2 + 2^2 = c^2
16 + 4 = c^2
c= 20^1/2
Since AB and BC are the same, but AC isn't, the triangle is isosceles.
IN A GIVEN FIGURE ABCD IS A SQUARE THE MEASURE OF ANGLE DBC IS
Answer:
Where is figure. Hope you understand me
Step-by-step explanation:
Please mark me brainliest thanks
GIVING BRAINLIEST IF CORRECT!! EASY MATH!!!
Answer:
Reflecting across the x-axis looks like this: -g(x)
A negative on the outside of the function.
So your answer may be
-|x|
Someone answer please and thank you! No photos please those are blocked for me!
ans:- 125 cm cubed
ur welcome
Which is an estimate of _/75
nearest whole number?
Answer:
9 is closest whole number
Answer:
9
Step-by-step explanation:
Lets look at the squares
7^2 = 49
8^2 = 64
9^2 = 81
It is between 8 and 9
75 - 64 =11
81 - 75 = 6
It is closer to 9 than 8
Find the given angle. Show all work and round to the nearest degree.
Answer:
44°
Step-by-step explanation:
tanΘ = opposite / adjacent
tanΘ = 48 / 50
Θ = arctan(48 / 50)
Θ = 43.83° or 44°
what is 1/3 + 1/10?
Answer:
13 + 110 is 1330 is the answer
1/3 + 1/10
= 10/30 + 3/30
= 13/30
WILL GIVE PUT BRAINLIEST PLEASE HELP
okay so i don’t have a ruler so please help! Part III – Measuring Lines
Using a metric ruler, measure and record the length of the following lines. (This is metric... SO
make sure to use the correct label)
Identify the rule for the following pattern:
4, 24, 144
Answer:
It is being multiplied by 6 each time.
Step-by-step explanation:4x6, 24x6
Find the least number which when divisible by 20, 24, 32 and 38 leaves a remainder 5 in cach case
Answer:
18245
Step-by-step explanation:
We have to use L.C.M,
L.C.M(20,24,32,38)
2|20,24,32,38
2| 10 ,12 ,16 ,19
2| 5 , 6 , 8 , 19
2| 5 , 3 , 4 , 19
2| 5 , 3 , 2 , 19
L.C.M = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 3 x 19
= 18240
Now for each case remainder is 5,
So the number is 18240+5
=> 18245
hey please help i’ll give brain
I NEED HELP ASAP!!! #32!!
Answer:
If it's parallel, then it has the same slope.
Find the slope from the two coordinates and compare the slope to see which ones are right.
You should get a slope of like 2/3 from the two points, so the only equation with the same slope is B.
Your answer is B.
the ratio of length and breadth of a rectangle is 3:1
Step-by-step explanation:
no her answer is lxb this answer is right for you
For her new MP3 player, Alicia wants a case that is 3 and 2/5 in. long. The online store shows case sizes in decimal measurements. What length case should she order?
A. 3.2 in.
B. 3.25 in.
C. 3.4 in.
D. 3.45 in.
Answer:
C.
Step-by-step explanation:
.
Answer:
c) 3.4 in
Step-by-step explanation: