A russian igor carl faberge firebird egg costs 327,317.28 russian rubles. how much is that in united states dollars?

Answers

Answer 1

Answer: 1 Russian ruble is equivalent to 0.01742 U.S. dollars.

Therefore, to find how much US dollars is equivalent to 327,317.28 Russian rubles, all you have to do is cross multiplication as follows:
amount = (327,317.28 * 0.01742) / 1
amount = 5701.867018 US dollars

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The length of a swimming pool is 8m longer than its width and the area is 105m2

Answers

$width : w \n length : \ l = w + 8 \n A = 105 \ m^2 \n \nA= w \cdot l \n \nw(w+l)=105 \n \nw^2+w = 105 \n \nw^2+w-105 =0 \n \n(w+15)(w-7)=0 \n \nw+15 =0 \ \ or \ \ w-7 = 0 \n \nw = -15 \ \ or \ \ w=7 \n \n width \ cant \ be \ negative, \ so \n \n w = 7 \ and \ l = w+8 = 7 +8 =15 \n \nchek : \n \n A=w\cdot l \n \nA=7\cdot 15=105 \ m^2$

$l\ \rightarrow\ the\ length\nw\ \rightarrow\ the\ width \n\nl=w+8\ \ \ and\ \ \ l\cdot w=105\ \ \ and\ \ \ l>0,\ w>0\n\n(w+8)\cdot w=105\ \ \ \Rightarrow\ \ \ w^2+8w=105\n\n w^2+2\cdot4w+4^2=105+4^2\n\n (w+4)^2=105+16\ \ \ \Rightarrow\ \ \ (w+4)^2=121\n\nw+4=11\ \ \ or\ \ \ w+4=-11\n\nw=7\ \ \ \ \ \ \ \ \ \ or\ \ \ w=-15<0\n\nw=7\ \ \ \Rightarrow\ \ \ l=7+8=15\n\nAns.\ the\ length\ is\ 15\ m\ \ and\ \ the\ width\ is\ 7\ m.$

If ST = 3, TU = 1, and SU= 9, what is ST?

Answers

Answer:

ST = 3

Step-by-step explanation:

it tells you that ST is 3

Help plsssssss thanksss

Answers

60-___=59
60-1=59
So the 9 was distributed
(9x60)-(9x1)
9x1=9
So 540-9=531

The square of a number is equal to 10 less than 7 times that number. What are the two possible solutions?Which of the following equations is used in the process of solving this problem?
x^2 - 7x + 70 = 0
x^2 - 7x + 10 = 0
x^2 + 7x - 10 = 0

Answers

x^2 = 7x - 10
x^2 - 7x + 10 = 0
(x - 5)(x - 2) = 0
x = 5 or x = 2

The answer is B.

Answer:

Step-by-step explanation:

A fence 8 ft tall runs parallel to a tall building at a distance of 4 ft from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building? (Round your answer to two decimal places.)

Answers

Answer:

16.65 ft

Step-by-step explanation:

You want the length of the shortest ladder that will reach a building over an 8 ft high fence that is 4 ft from the building.

Similar triangles

As in the attached diagram, we can define the length of segment AX from the fence to the ladder base as 'x'. Then the length of the ladder to the top of the fence is found using the Pythagorean theorem to be ...

BX = √(x² +8²)

The remaining length of the ladder is the hypotenuse of a triangle similar to ∆BAX. The scale factor is DA/AX = 4/x, so the length of the remaining ladder is ...

CB = (4/x)BX = (4/x)√(x² +8²)

Ladder length

The total ladder length is the sum of its parts:

CX = CB +BX

CX = (4/x)√(x² +8²) +√(x² +8²)

CX = (1 +4/x)√(x² +8²)

Minimum length

The minimum length will be that associated with the value of x that makes the derivative of CX be zero. The second attachment shows the derivative of the total length function in terms of generic distances DA=d and BA=h. For this problem, where (d, h) = (4, 8), the derivative is ...

CX' = (1+4/x)x/√(x² +8²) -(4/x²)√(x² +8²)

Expressing this over a common denominator, we have ...

CX' = (x³ -4·8²)/(x²√(x²+8²))

This is zero when ...

x³ -4·8² = 0 ⇒ x = 4∛4 ≈ 6.3496

Total length

Using this value in the ladder length formula above, we find the length of the ladder to be ...

CX = (1 +4/6.3496)√(6.3496² +8²) ≈ 16.64775

The length of the shortest ladder is about 16.65 feet.

Both pyramids in the figure have the same base area as the prism. The ratio of the combined volume of the pyramids to the volume of the prism,expressed as a fraction in simplest form,is . There are no choices. :/

Answers

At first, I thought this was going to be a dog of a bear of a problem,
but then I fixated it with my steely burning gaze and it fell apart for me.

The volume of a pyramid is (1/3) (base area) (height)

Each of these pyramids has the same base area and the
same height, so ...

Volume of the lower pyramid = (1/3) (base area) (height)
Volume of the upper pyramid = (1/3) (base area) (height)

Combined volume of both pyramids = (2/3) (base area) (height) .

Now, how do the pyramids relate to the rectangular prism ?

Their base area is (length x width) of the prism, and
their height is (1/2 the height) of the prism.

From here, we'll work with the dimensions of the prism ... L, W, and H .

Combined volume of the pyramids = (2/3) (L x W) (1/2 H)

= (1/3) (L x W x H) .

Volume of the prism = (L x W x H)

The pyramids occupy 1/3 the volume of the prism.

The ratio is 1/3 .

Answer:

Answer 1/3

Step-by-step explanation:

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