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3 years ago

What is the answer to 2+1/6a=-4

1 answer:

8 0

$2 + \frac{1}{6} a=-4 \\ \\ 2 + \frac{a}{6} = -4 \\ \\ \frac{a}{6} = -4 - 2 \\ \\ \frac{a}{6} = -6 \\ \\ a = -6 \times 6 \\ \\ a = -36 \\ \\ Answer: \fbox {a = -36}$

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A girl is on the beach and the angle of elevation from her feet to the top of a lighthouse is 62' If the lighthouse is 30ft tall

soldi70 [24.7K]

Answer:

15.95 feets

Step-by-step explanation:

Given that:

Angle of elevation = 62°

Using trigonometric relation :

Tanθ = opposite / Adjacent

From the drawing attached :

Opposite = 30 feets

Distance between girl and lighthouse = d

Tan 62 = 30 / d

1.8807264 * d = 30

d = 30 / 1.8807264

d = 15.951283

d = 15.95 feets

3 0

3 years ago

Sketch the region that is common to the graphs of x ≥ 2,

Oliga [24]

a. Find the graph of their common region in the attachment

b. The area of the common region of the graphs is 8 units²

<h3>a. How to sketch the region common to the graphs?</h3>

Since we have x ≥ 2, y ≥ 0, and x + y ≤ 6, we plot each graph separately and find their region of intersection.

The graph of x ≥ 2 is the region right of the line x = 2.

The graph of y ≥ 0 is the region above the line y = 0 or x-axis.

To plot the graph of x + y ≤ 6, we first plot the graph of x + y = 6 ⇒ y = -x + 6. Then the graph of x + y ≤ 6 is the graph of y ≤ - x + 6.

So, the graph of x + y ≤ 6 is the region below the line y = - x + 6

From the graph, the regions intersect at (2, 0), (2, 4) and (6, 0)

Find the graph of their common region in the attachment

<h3>b. The area of the common region</h3>

From the graph, we see that the common region is a right angled triangle with

height = 4 units and
base = 4 units

So, its area = 1/2 × height × base

= 1/2 × 4 units × 4 units

= 1/2 × 16 units²

= 8 units²

So, the area of the common region of the graphs is 8 units²

Learn more about region common to graphs here:

brainly.com/question/27932405

#SPJ1

6 0

2 years ago

Linda made $104 for 8 hours of work. At the same rate, how many hours would she have to work to make $143?

KatRina [158]

Answer:

11 hours

Step-by-step explanation:

104 dollars for 8 hours of work. So how much money per hour?

104/8= 13 dollars per hour

At the same rate = 13 dollars per hour, so

How many hours to make 143 dollars? With the same rate?

143/13 = 11 hours

8 0

3 years ago

Read 2 more answers

Are 6 exponent 3 and -x exponent 3 alike

amid [387]

Answer:

Step-by-step explanation:

6^3 = 216

(-x)^3 = - x^3.

5 0

3 years ago

3<br> x x < – 6 or 5x > 2<br> 8

Roman55 [17]

Answer:

is this a question .....write it correctly

8 0

3 years ago