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swat32
3 years ago
9

I need help with 5 and 6 please help must show work for brainliest

Mathematics
1 answer:
IRINA_888 [86]3 years ago
6 0
The answer to the question

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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
Which could be the first step in simplifying this expression? Check all that apply.
-BARSIC- [3]

Answer:

the answer is c your welcome

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Where y=5x-7 and -3x-2y=-12 Write your answer as x,y
Mariulka [41]

Answer:

(x,y) = (2,3)

Step-by-step explanation:

y=5x-7                  (i)

-3x-2y= -12          

-(3x+2y)= -12

3x+2y= 12            (ii)

By putting the value of y from (i) in (ii)

3x+2(5x-7)=12

3x+10x-14=12

13x=12+14

13x= 26

x = \frac{26}{13}

x= 2

By putting the value of x in (i)

y= 5(2)-7

y= 10-7

y= 3

(x,y) = (2,3)

5 0
3 years ago
Solve each equation for m -5 =8
Diano4ka-milaya [45]

Answer:

m = 13

Step-by-step explanation:

Given

m - 5 = 8 ( isolate m by adding 5 to both sides of the equation )

m = 8 + 5 = 13

3 0
3 years ago
Read 2 more answers
Simplify 12 to the 16th power over 12 to the 4th power. 1212 124 112 14
Law Incorporation [45]

Greetings from Brasil...

<em />

Here's our problem:

\large{\frac{12^{16}}{12^{4}}}

From potentiation properties:

Mᵃ ÷ Mᵇ = Mᵃ⁻ᵇ

<em>division of power of the same base: I repeat the base and subtract the exponents</em>

<em />

Bringing to our problem

12¹⁶ ÷ 12⁴

12¹⁶⁻⁴

<h2>12¹²</h2>

4 0
3 years ago
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