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Deffense [45]
2 years ago
10

Use a trigonometric function to find each value of x. Round to the nearest tenth if necessary.

Mathematics
1 answer:
Ulleksa [173]2 years ago
4 0

Answer:

4.0

Step-by-step explanation:

Using trig identity Tangent, tangent is equal to opposite / adjacent side. Therefore tan30 = x/7, because x is the side opposite to 30 degrees and it is adjacent to 7, (note: adjacent side is never the hypotenuse)

To save time, tan 30 = sqrt(3)/3,

sqrt(3)/3 = x/7

x = 7*sqrt(3)/3 ~ 4.041

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You have been asked to build a scale model of a restaurant out of bottle caps. The restaurant is 20 feet tall. Your scale is 2.4
Amanda [17]

Answer:

40\ bottle\ caps

Step-by-step explanation:

we know that

The scale is \frac{2.4}{1}\ \frac{cm}{ft}

That means

2.4 cm in the model represent 1 foot in the real

In this problem

The restaurant is 20 feet tall

Find the height of the model

Multiply the actual height of the restaurant by the scale 2.4

20\ ft=20(2.4)=48\ cm

A bottle cap is 1.2 cm tall

To find out the number of bottle caps divide the height of the model by 1.2

\frac{48}{1.2}= 40\ bottle\ caps

8 0
3 years ago
because the angles in a rectangle are 90 degrees it is not a parallelogram true or false? please explain why
ra1l [238]
<span>A parallelogram is a 4-sided shape where opposites sides are parallel. A rectangle is a special case of a parallelogram. All rectangles are parallelograms.

But a rectangle is a shape where opposites sides are parallel *and* all the corners are 90 degree angles. So you can't say that all parallelograms would be rectangles. Some parallelograms would be rectangles, but not all.

Rectangles are a subset of the shapes called parallelograms. But parallelograms are *not* a subset of the shapes called rectangles.

It's similar to saying all cars are vehicles. But you can't say that all vehicles are cars. </span>
6 0
3 years ago
What is -5/6 + -5/6? (its ment to be a fraction)
maks197457 [2]
The answer is:  " -5/3 " ;  or, write as:  " -1 ⅔ " .
_____________________________________________
Explanation:
_____________________________________________

   (-5/6) + (-5/6) = (-5/6) <span>− (5/6) ;  

------>  {since: "adding a negative" is the same a "subtracting a positive"} ; 

------> </span> (-5/6) − (5/6) = (-5 − 5) / 6  ;
  
                                  =   -10/6 =  (-10/2) / (6/2) ;
_____________________________________________________
                                  =   " -5/3 " ;  or, write as:  " -1 ⅔ " .
_____________________________________________________
8 0
3 years ago
Alpha company has assets of $602,000, liabilities of $251,000, and equity of $351,000. it buys office equipment on credit for $7
ipn [44]
As we know assets = liabilities + equity

In this case assets would be increased by $76,000 and the liabilities would be increased by $76,000

Did I answer your question, or did you mean something else?
3 0
3 years ago
Read 2 more answers
Help me please
Stolb23 [73]

Answer:

Step-by-step explanation:

The ratio of the circumference to its diameter.

the proportion can be written this way

Circumference / diameter = pi / 1

4 0
2 years ago
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