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FrozenT [24]
3 years ago
10

Becky's ship is 43 miles west all the harbor.

Mathematics
1 answer:
pishuonlain [190]3 years ago
5 0

Answer:

Clyde is 49.74 away from the harbor

Step-by-step explanation:

Here in this question, we are interested in knowing the distance of Clyde from the harbor.

The key to answering this question is having a correct diagrammatic representation. Please check attachment for this.

We can see we have the formation of a right angled triangle with the distance between Clyde’s ship and the harbor the hypotenuse.

To calculate the distance between the two, we shall employ the use of Pythagoras’ theorem which states that the square of the hypotenuse is equal the sum of the squares of the two other sides.

Let’s call the distance we want to calculate h.

Mathematically;

h^2 = 25^2 + 43^2

h^2 = 625 + 1849

h^2 = 2474

h = √2474

h = 49.74 miles

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Merlin worked these hours during the week: 4.5, 8.75, 9.5, 10, and 4.25 hours. What was his gross pay for the week, if he makes
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What is the similarity ratio of a cube with volume 729m^3 to a cube with volume 3375 m^3
liubo4ka [24]

<u>Answer:</u>

3/5

<u>Step-by-step explanation:</u>

We are to find the similarity ratio of a cube with volume  729 m^3 to a cube with volume 3375 m^3.

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\frac{V_1}{V_2} =k^3

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Substituting the given values in the formula to find k:

k^3 = \frac {729} {3375}

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Therefore, the similarity ratio of the two cubes is 3/5.


8 0
3 years ago
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Is this the correct answer?
Step2247 [10]

Step-by-step explanation:

Close.  You correctly set up the integrals.  When integrating e²ˣ:

∫ e²ˣ dx

½ ∫ 2 e²ˣ dx

½ e²ˣ + C

So the coefficient should be ½, not 2.

[eˣ − ½ e²ˣ]₋₁⁰ + [½ e²ˣ − eˣ]₀¹

[(e⁰ − ½ e⁰) − (e⁻¹ − ½ e⁻²)] + [(½ e² − e) − (½ e⁰ − e⁰)]

1 − ½ − e⁻¹ + ½ e⁻² + ½ e² − e − ½ + 1

-e⁻¹ + ½ e⁻² + ½ e² − e  + 1

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I'll use subscript notation for brevity, i.e.

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x(r,s)=s^2\implies\begin{cases}x_r=0\\x_s=2s\end{cases}

y(r,s)=2rs\implies\begin{cases}y_r=2s\\y_s=2r\end{cases}

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f_t=f_xx_t+f_yy_t+f_zz_t=-2y+3xr=3r+3s-12rt

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