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3 years ago

Complete the proof with the statements and reasons below. Write the letter of the statement or reason in the box.

1 answer:

8 0

Base on the question that said to write the letter of the statement or the reason in the said numbers in the question, and in my further analysis and research, the following are the answers:
Statements:
#1 C. x=15
#2 G. 3x-12=33
#3 L. 3x=45
#4 O. 3x+0=45
#5 s. 3(x-4)=33

Reasons:
#1 R. Given
#2 F. Subtraction Property of Equality
#3 I. Division Property of Equality
#4 E. Addition Property of Equality
#5 Distributive Property

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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

(x - 6)^2 - 12 = x^2- 12x + c. What is the value of c?

mojhsa [17]

Answer:

C = 24

Step-by-step explanation:

(x - 6)² - 12 = x² - 12x + c

(x - 6) (x - 6) -12 = x² - 12x + c

x(x - 6) - 6(x - 6) - 12 = x² - 12x + c

x² - 6x -6x + 36 - 12 = x² - 12x + c

x² - 12x +36 - 12 = x² - 12x + c

x² - 12x + 24 = x² - 12x + c

24 = c

4 0

2 years ago

PLEASE HELP!!!!!!!

lozanna [386]

The correct answer is: C) The base of the cone and the top of the cylinder have the same area. The cone has the smallest volume of the 2 figures. This is because the formula for the cylinder is b x h, the formula for the cone is 1/3(b x h) so if they have same height and base area cylinder would have larger volume because, for the cylinder, a formula is one-third of b x h. Hope I helped!! : )

hope this helps you

4 0

2 years ago

Question 1 (1 point)

vekshin1

Answer:

4,3

Step-by-step explanation:

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2 years ago

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Answer:

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2 years ago