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3 years ago

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Create a scale for the number line in order to plot the points –2, 4, and 6. a. Graph each point abd its opposite on the number

line. b. Explain how you found the opposute of each point.

1 answer:

Gnom [1K]3 years ago

4 0

Answer:

s

Step-by-step explanation:s

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A plane is flying 3900 m above the ground level. The angle of elevation from the control tower to the plane is

Tcecarenko [31]

The horizontal distance to the control tower is approximately 18506.83m

Data;

distance from the ground = 3900m
angle of elevation = 11.4 degrees
horizontal distance = ?

<h3>Trigonometric Ratio</h3>

To solve this problem, we need to use trigonometric ratio SOHCAHTOA.

In this case, we have the value of opposite and angle and we need to find the adjacent to the angle. The tangent of the angle would be perfect for this.

$tan\theta = \frac{opposite}{adjacent} \\tan11.4 = \frac{3900}{x}\\x = \frac{3900}{tan11.4}\\ x = 18506.83m$

The horizontal distance to the control tower is approximately 18506.83m

Learn more on trigonometric ratio here;

brainly.com/question/4326804

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2 years ago

If a/\2+1/a/\2=11, then a+1/a=?

Nadya [2.5K]

Answer:

$\pm \sqrt{13}$

Step-by-step explanation:

$\bigg(a + \frac{1}{a} \bigg)^{2} = {a}^{2} + \frac{1}{ {a}^{2} } + 2 \times a \times \frac{1}{a} \\ \\ \bigg(a + \frac{1}{a} \bigg)^{2} = 11 + 2 \\ \\ \bigg(a + \frac{1}{a} \bigg)^{2} = 13 \\ \\ \bigg(a + \frac{1}{a} \bigg) = \pm \sqrt{13}$

5 0

3 years ago

Geometric Series assistance

Levart [38]

we have been asked to find the sum of the series

$\sum _{n=1}^5\left(\frac{1}{3}\right)^{n-1}$

As we know that a geometric series has a constant ratio "r" and it is defined as

$r=\frac{a_{n+1}}{a_n}=\frac{\left(\frac{1}{3}\right)^{\left(n+1\right)-1}}{\left(\frac{1}{3}\right)^{n-1}}=\frac{1}{3}$

The first term of the series is $a_1=\left(\frac{1}{3}\right)^{1-1}=1$

Geometric series sum formula is

$S_n=a_1\frac{1-r^n}{1-r}$

Plugin the values we get

$S_5=1\cdot \frac{1-\left(\frac{1}{3}\right)^5}{1-\frac{1}{3}}$

On simplification we get

$S_5=\frac{121}{81}$

Hence the sum of the given series is $\frac{121}{81}$

5 0

3 years ago

a certain number of yams is sufficient to feed 20 students for 12 days for how many days would the same number of yams feed 15 s

Softa [21]

Step-by-step explanation:

no of days = (15×12)/20= 9 days

I hope this helps

6 0

3 years ago

Read 2 more answers

Guys please help me with this question

Bond [772]

Answer:

y=4/3x+15 1/3 (or) y=4/3x+46/3

Step-by-step explanation:

If it’s parallel, it has to have the same slope (4/3).

Plug 7 in for x, and then find out what you have to do to make y equal -6.

y=4/3x+15 1/3 (or) y=4/3x+46/3

3 0

3 years ago