7) In an old episode of the TV program McGyver, a planeload of gold was being transported from the SovietUnion to the United States during WWU. The place crashed in the Arctic region. To prevent the "badguys" from getting the gold, the pilot and copilot transferred the gold into a cave by stacking it on a door
of the crashed plane and dragging the "sled" into the cave. You were led to believe in the episode that
they accomplished the move in one trip. The gold was stacked neatly in the shape of a cube, measuring
about 1 meter on a side. Calculate the weight, in tons, of one cubic meter of gold. The density of gold is
19.4 g/cc. Would it have been possible for the two pilots to accomplish this feat? Would a plane of WWII
vintage be able to carry this much gold? (cc = cubic centimeter, 1cm = 1mL)

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.

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.

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.

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

Step-by-step explanation:

no her answer is lxb this answer is right for you

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

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

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]

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|

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

Answer:

It is being multiplied by 6 each time.

Step-by-step explanation:4x6, 24x6

Answer:

44°

Step-by-step explanation:

tanΘ = opposite / adjacent

tanΘ = 48 / 50

Θ = arctan(48 / 50)

Θ = 43.83° or 44°

Answer:

Where is figure. Hope you understand me

Step-by-step explanation:

Please mark me brainliest thanks

Answer:

13 + 110 is 1330 is the answer

1/3 + 1/10

= 10/30 + 3/30

= 13/30

Question has a slight error .we should find n(A[tex]\cap[/tex]B)

[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]

ans:- 125 cm cubed

ur welcome

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]

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

Answer:

1/2×3/4=3/8h

3/8×8/8=

3/8h

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.

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

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

Answer:

9604

Step-by-step explanation:

V = (7/3)³ × 756

= 343/27 × 756

= 9604 ft³

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

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

Answer:

C.

Step-by-step explanation:

.

Answer:

c) 3.4 in

Step-by-step explanation:

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:

Answer:

The answer is A. They are just inverses, but are essentially, the same problem. The order does not matter.

Step-by-step explanation: