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3 years ago

Ex) A nursery plants a new tree and attaches a guy wire to help support the tree

Mathematics

2 answers:

o-na [289]3 years ago

8 0

Answer:

d = 5,35 ft

Step-by-step explanation: See annex

Figure in annex is clear,

sin ∠42⁰ = d / 8

And

sin ∠42⁰ = 0.669

d/8 = 0,669

d = 0,669*8

d = 5,35 ft

nordsb [41]3 years ago

6 0

Answer:

a ≈ 5.4 ft

Step-by-step explanation:

A guy wire is used to hold a tree firmly to the ground to avoid bending or falling due to earth natural phenomenon like wind.

The guy wire is tied to a stake and attached to the tree. The illustration above forms a right angle triangle. The angle of elevation from the stake in the ground with the tree is 42°.

The tree forms the opposite side of the right angle triangle starting from the point the guy wire was attached down to the base of the tree. The guy wire attached from the tree to the stake forms the hypotenuse of the right angle triangle.

The height of the connection point on the tree is the height of the tree starting from where the guy wire was tied to the tree to the base. Let us call the height a.

hypotenuse = 8 ft

opposite side(a) = ?

angle of elevation = 42°

Using the SOHCAHTOA principle

sin ∅ = opposite/hypotenuse

sin 42° = a/8

cross multiply

a = 8 sin 42°

a = 8 × 0.6691306064

a = 5.3530448509

a ≈ 5.4 ft

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Find the difference <br><br> (2x+7)-6(5x-8)

sveticcg [70]

Answer:

-28x-41

Step-by-step explanation:

6*5x-6*8

30x-48

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4 0

2 years ago

Read 2 more answers

Jacob is tiling his square walk with square tiles. He is able to fit 5 tiles up and 5 tiles across. If each tile has a length of

frozen [14]

Answer:

The perimeter of the kitchen wall = 60 b

Step-by-step explanation:

The number if tiles used in the length side of the square walk = 5 tiles

The length of 1 tiles = 3 b

So, the length of 5 tiles = 5 x ( Length of 1 tile)

= 5 x (3 b) = 15 b

So, the length of the square walk = 1 5 b

Perimeter of SQUARE = 4 x SIDES

⇒ Perimeter of the wall = 4 x (Side)

= 4 x (15 b) = 60 b

Hence, the perimeter of the kitchen wall = 60 b

8 0

3 years ago

If g(x) = 4√x-8 , which statement is true?

Mariana [72]

We have the following function:

$g(x)=4\sqrt{x}-8$

So if we graph this function we will get the Figure below. Thus, let's study both the equation and the graph to get some conclusions. Therefore, we can assure these statements:

First. The function is defined only for $x\geq 0$ as shown in the Figure. This is also true because of $\sqrt{x}$ where $x$ must be greater (or equal) than zero.

Second. The range of the function are the values of $y\geq -8$ .

Third. If $x$ creases then $y$ always creases, too.