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3 years ago

Hi . I need help with the question below and the one in the picture.

Mathematics

1 answer:

Oliga [24]3 years ago

8 0

Answer:

1) N5.00

2) N1.50

Step-by-step explanation:

1) 1/2+1/4+1/5=10/20+5/20+4/20=19/20=95%

That means the 4th girl received 5%.

25 is 5% of 500

500 Kobo is N5.00

2) He lost 55%, so they means he has 45% left.

67.5 is 45% of 150

(67.5/0.45=150)

150Kobo is N1.50

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For questions 3 – 5, an airplane is heading south at an airspeed of 540 km/hr, but there is a wind blowing from the northeast at

GuDViN [60]

First, let's calculate the horizontal and vertical components of the wind speed (W) and the airplane speed (A), knowing that south is a bearing of 270° and northeast is a bearing of 45°:

$\begin{gathered} W_x=W\cos45°\\ \\ W_x=50\cdot0.707\\ \\ W_x=35.35\\ \\ \\ \\ W_y=W\sin45°\\ \\ W_y=50\cdot0.707\\ \\ W_y=35.35 \end{gathered}$ $\begin{gathered} A_x=A\cos270°\\ \\ A_x=540\cdot0\\ \\ A_x=0\\ \\ \\ \\ A_y=A\sin270°\\ \\ A_y=540\cdot(-1)\\ \\ A_y=-540 \end{gathered}$

Now, let's add the components of the same direction:

$\begin{gathered} V_x=W_x+A_x=35.35+0=35.35\\ \\ V_y=W_y+A_y=35.35-540=-504.65 \end{gathered}$

To find the resultant bearing (theta), we can use the formula below:

$\begin{gathered} \theta=\tan^{-1}(\frac{V_y}{V_x})\\ \\ \theta=\tan^{-1}(\frac{-504.65}{35.35})\\ \\ \theta=-86° \end{gathered}$

The angle -86° is equivalent to -86 + 360 = 274°.

Therefore the correct option is b.

8 0

1 year ago

The height of the building where the wire is attached is 70 feet

Alexeev081 [22]

This is not a question...please rephrase.

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3 years ago

The surface area of the cube is 54 square feet. What is the length, in feet, of one edge of the cube?

Brut [27]

Answer:

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Step-by-step explanation:

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Answer:

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