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2 years ago

Calculate the value of x to one decimal place. inches

Mathematics

1 answer:

kakasveta [241]2 years ago

5 0

Use the law of cosines: $c^2=a^2+b^2-2ab\cos C$

We have:

$c=x\\a=3in\\b=7in\\C=54^o$

substitute:

$\cos54^o\approx0.5878\\\\c^2=3^2+7^2-2\cdot3\cdot7\cdot0.5878\\\\c^2=9+49-24.6876\\\\c^2=33.3129\to c=\sqrt{33.3129}\\\\c\approx5.8$

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A pilot was scheduled to depart at 4:00 pm, but due to air traffic, her departure has been delayed by 10 minutes. Air traffic co

alexandr402 [8]

Answer:

a. y equals one third times x plus 10

= y = 1/3(x) + 10

Step-by-step explanation:

Let us represent:

Let the original final plan = x

Let the current flight plan = y

The initial time of departure = 4.00pm

Her flight was then delayed for 10 minutes

We are told in the question that:

The current flight plan allows her arrive at her destination three times faster.

This means y= (1/3)x

y = x/3

Hence the equation generated =

y = x/3 +10

y = 1/3(x) + 10

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2 years ago

The following model can be used to study whether campaign expenditures affect election outcomes: voteA = β0 + β1log(expendA) + β

rosijanka [135]

Answer:

(i) It represents change in expenditure by candidates A; (ii) $H_0:\beta_1+\beta_2=0$

Step-by-step explanation:

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2 years ago

FOR 14 POINTS Thalia, a quiz show contestant, answered 20 questions. She was awarded 2 points for every correct answer that she

Svetradugi [14.3K]

Answer:

The viewer mistakenly determined that one of the equations in the system should be 2 x + y = 28. Instead modifications should have been made before applying the equation.

Step-by-step explanation:

Given

Total Questions = 20

Total Points = 28

Correct Answers = +2 points

Incorrect Answers = -1 point

Required

Spot the error in the viewer's calculation

The viewer represents the correct answers with x and the incorrect ones with y.

This implies that

$x + y = 20$

Also, for every correct answers, she gets 2 points;

This can be represented by 2x

and for every incorrect answers, she gets -1 point

This can be represented by -y

This implies that

$2x - y = 28$

This is where the viewer made a mistake

The viewer's mistake is that; instead of subtracting total incorrect points from the correct points, the viewer added them together;

Solving further

$2x - y = 28$

$x + y = 20$

Add both equations together

$2x + x + y - y = 28 + 20$

$3x = 48$

Divide both sides by 3

$\frac{3x}{3} = \frac{48}{3}$

$x = \frac{48}{3}$

$x = 16$

Substitute $x = 16$ in $x + y = 20$

$16 + y = 20$

Subtract 16 from both sides

$16 - 16 + y = 20 - 16$

$y = 20 - 16$

$y = 4$

This implies that the contestant answered 16 questions correctly and 4 questions incorrectly

7 0

2 years ago

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scZoUnD [109]

Answer:

Option D.

Step-by-step explanation:

We need to find the quotient of

$\dfrac{-8x^6}{4x^{-3}}$

It can rewritten as

$\dfrac{-8}{4}\times \dfrac{x^6}{x^{-3}}$

$-2\times x^{6-(-3)}$ $[\because \dfrac{a^m}{a^n}=a^{m-n}]$

$-2x^{6+3}$

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The required expression is $-2x^{9}$ .

Therefore, the correct option is D.

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2 years ago

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astraxan [27]

Answer:

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Step-by-step explanation:

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2 years ago

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