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Stella [2.4K]
3 years ago
14

WILL MARK BRAINLIEST IF CORRECT!

Mathematics
1 answer:
VLD [36.1K]3 years ago
3 0
The answer should be the first one, SF = 1/2
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The equation of direct proportion y=kx is given by the table. Find the coefficient k, and fill in the table:
Gemiola [76]

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The coefficient of k is -6

Step-by-step explanation:

Let x = -2

Let y = 12

y = kx

12 = k(-2)

k =12÷(-2)

= -6

(Correct me if i am wrong)

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3 years ago
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3 years ago
A palm tree is supported by two guy wires as shown in the diagram below. Which trig expression can be used to find the height on
Volgvan

Answer:

D. tan(30^\circ+45^\circ) is the correct answer.

Step-by-step explanation:

The given situation can be represented as a figure attached in answer area.

B is the base of tree.

C is the base of wires.

A and D are the end of 2 wires supporting the tree.

\angle DCB =45^\circ\\\angle ACB =75^\circ\\

Here, we need to find the Height of the tree which is represented the by side AB.

and we are given that bases of wires and tree base are at a distance 4 ft.

i.e. side BC = 4 ft

If we look at the \triangle ABC, we are given the base BC and the \angle ACB, and the perpendicular is to be find out.

We can use trigonometric identity:

tan\theta =\dfrac{Perpendicular}{Base}

tan 75^\circ = \dfrac{AB}{BC}\\\bold {tan (45+30)^\circ }= \dfrac{AB}{4}\\\Rightarrow AB = \bold {tan (45+30)^\circ } \times 4 = 14.93\ ft

Hence, D. tan(30^\circ+45^\circ) is the correct answer.

5 0
3 years ago
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