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2 years ago

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HELP...The volume of a rectangular prism is 36x^6y^8. The length of the prism is 4x^3y^5, and the width of the prism is 3xy^2. W

hat is the height of the prism? Write a justification of your result. v=lwh

1 answer:

Margaret [11]2 years ago

4 0

Answer:

$H = 3x^2y$

Step-by-step explanation:

Given

$V = 36x&^6y^8$

$L = 4x^3y^5$

$W = 3xy^2$

Required

Find the height of the prism

Volume (V) is calculated as:

$V =LWH$

Substitute values for V, L and W

$36x^6y^8 =4x^3y^5 * 3xy^2 * H$

Make H the subject

$H = \frac{36x^6y^8}{4x^3y^5 * 3xy^2}$

$H = \frac{36x^6y^8}{4*3x^3*x*y^5y^2}$

$H = \frac{36x^6y^8}{12x^4*y^7}$

Divide:

$H = 3x^{6-4}y^{8-7}$

$H = 3x^2y$

The height of the prism is: $3x^2y$

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Two trains leave New York at the same time heading in opposite directions. Train A travels at 4 5 the speed of train one. After

vladimir2022 [97]

Answer:

<em>Speed of train A is 44 miles/hr.</em>

<em></em>

Step-by-step explanation:

Let the speed of train A = $u\ miles/hr$

Let the speed of train one = $v\ miles/hr$

Train A travels at $\frac{4}{5}^{th}$ the speed of train one.

i.e.

$u = \dfrac{4}{5}v \\\Rightarrow v =\dfrac{5}{4}u.... (1)$

Distance traveled = 693 miles

Time taken = 7 hours

They are travelling in opposite directions so the resultant speed will appear to be faster.

Relative speed = $u+v\ miles/hr$

The trains are 693 miles apart in 7 hours that means they have traveled a total distance of 693 miles in 7 hours with a speed of ( $u+v$ ) miles/hr.

Using the formula:

$Speed = \dfrac{Distance}{Time}$

$u+v = \dfrac{693}{7}\\\Rightarrow u+v=99 ...... (2)$

Putting the value of v using equation (1):

$\dfrac{5}4u+u=99\\\Rightarrow 5u+4u = 99 \times 4\\\Rightarrow 9 u = 99 \times 4\\\Rightarrow u = 11 \times 4 = \bold{44\ miles/hr}$

<em>Speed of train A is 44 miles/hr.</em>

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3 years ago

Goryan [66]

Answer:

The answer is A. One graph uses an open circle, but the other graph uses a closed circle. Also, the rays use arrows that point in opposite directions, but they have the same endpoint.

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3 years ago

I am Lyosha [343]

Answer:

m∠QPR = 20°

Step-by-step explanation:

If we make a sketch of the triangle, it will be observed, that line R bisects angle P.

Considering Triangle, ΔQPS;

∠QPS=107∘

Considering triangle, QPR;

∠QPR=9x-115∘

Considering triangle, RPS;

∠RPS=4x+27∘

Thus, ∠RPS + ∠QPR = ∠QPS

4x+27° + 9x-115° = 107°

13x - 88° = 107∘

13 x = 107∘ + 88∘

13x = 195°

x = 195°/13

x = 15°

m∠QPR = 9x - 115°

= (9 x 15) - 115°

= 135° - 115°

= 20°

Therefore, m∠QPR = 20°

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3 years ago

If 5,000 beef cattle were slaughtered in one day at Tyson Foods and the average animal weight was 1,350 lbs. How many pounds of

krok68 [10]

Answer:

33,750,000 pounds of animals were processed during 5 days.

Step-by-step explanation:

If the average animal weight is 1350 lbs and 5,000 beef are slaughtered in one day, the total amount for one day would be: (1350)(5000) = 6,750,000 lbs.

Now we need to multiply this number by five since we want to know the total of pounds of animals processed during 5 days.

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3 years ago

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lisov135 [29]

Answer:

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Step-by-step explanation:

The given parameters of the question are;

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Given that both dQ/dT and dQ/dt are known, we have;

$\dfrac{dQ}{dT} = 0.18 \, (kcal/ ^{\circ} C)$

$\dfrac{dQ}{dt} = 12.9 \, (kcal/ min)$

Therefore, we get;

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