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Delvig [45]
3 years ago
7

The airplane in the scale drawing has a wingspan of a feet and a tail span of b feet. If the tailspin in the drawing is 2 inches

, and a/b=3, what is the actual wingspan of the airplane?
Mathematics
1 answer:
xeze [42]3 years ago
7 0

Correct answer is: actual wingspan of airplane is 6 inches.

Solution:-

We are given that wingspan is 'a' feet and tail span is 'b' feet in a scale drawing.

And we are also given that tail span is 2 inches that is b=2 inches and \frac{a}{b}=3

Let us plugin the b value in above equation.

\frac{a}{2}=3

Multiplying with 2 on both sides.

a=3X2=6 inches.

Hence actual wingspan of airplane is 6 inches.

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y=-|x+1|+1

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19. 4x-y+2z =<br> 8x+y-4<br> Find x
Varvara68 [4.7K]

Answer:

x = \frac{4-2y+2z}{4}

Step-by-step explanation:

4x-y+2z = 8x+y-4

4x-8x-y+2z = 8x - 8x +y-4

-4x -y +2z= y-4

-4x -y+y +2z = y+y-4

-4x +2z = 2y-4

-4x+2z-2z = 2y-2z-4

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4 0
3 years ago
Simplify the expression using trigonometric identities: sec (–θ) – cos θ.
ololo11 [35]

Answer:

sin θ . tan θ

Step-by-step explanation:

Note : -

sec ( - θ ) = sec θ

Formula / Identity : -

sec θ = 1 / cos θ

sec ( - θ ) - cos θ

= [ 1 / cos θ ] - cos θ

{ LCM = cos θ }

= [ 1 / cos θ ] - [ cos²θ / cos θ ]

= [ 1 - cos²θ ] / cos θ

{ 1 - cos²θ = sin²θ }

= sin²θ / cos θ

{ sin²θ = sin θ . sin θ }

= sin θ . sin θ / cos θ

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4 0
2 years ago
The ratio of the length to the width of a rectangle is 5:4. The length of the rectangle is 60 inches. What is the width?
Firlakuza [10]

\huge\boxed{\text{48 inches}}

We know that \frac{\text{length}}{\text{width}} = \frac{60}{\text{width}} = \frac{5}{4}.

Solve using cross multiplication of the last two fractions. I will use w to represent the width of the rectangle. 60*4=w*5

Multiply. 240=5w

Divide both sides of the equation by 5. \boxed{48}=w

7 0
3 years ago
Read 2 more answers
In testing a certain kind of missile, target accuracy is measured by the average distance X at which the missile explodes. The d
3241004551 [841]

Answer:

The answer is c) 761.0

Step-by-step explanation:

Mathematical hope (also known as hope, expected value, population means or simply means) expresses the average value of a random phenomenon and is denoted as E (x). Hope is the sum of the product of the probability of each event by the value of that event. It is then defined as shown in the image, Where x is the value of the event, P the probability of its occurrence, "i" the period in which said event occurs and N the total number of periods or observations.

 The variance of a random variable provides an idea of the dispersion of the random variable with respect to its hope. It is then defined as shown in the image.

Then you first calculate E [x] and E [x^{2}], and then be able to calculate the variance.

E[x]=0*\frac{1}{40} +10*\frac{1}{20} +50*\frac{1}{10} +100*\frac{33}{40}

E[x]=0+\frac{1}{2} +5+\frac{165}{2}

E[X]=88

So <em>E[X]²=88²=7744</em>

On the other hand

E[x^{2} ]=0^{2} *\frac{1}{40} +10^{2} *\frac{1}{20} +50^{2} *\frac{1}{10} +100^{2} *\frac{33}{40}

E[x²]=0+5+250+8250

<em>E[x²]=8505 </em>

Then the variance will be:

Var[x]=8505-7744

<u><em>Var[x]=761 </em></u>

5 0
3 years ago
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