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3 years ago

The percent increase of the airline ticket is ___%

Mathematics

1 answer:

JulsSmile [24]3 years ago

7 0

Answer:

Step-by-step explanation:

%change=100(final-initial)/(initial)

For just the ticket

%change=100(375-300)/300=25%

For the ticket and baggage fee of $50

%change=100(375+50-300)/300=42%

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PLEASE HELP ME thank you<br><br> answer needs to be in simplest radical form <br><br> find d

sweet [91]

Answer:

$d=10$

Step-by-step explanation:

Pythagorean theorem:

$d^2+d^2=10\sqrt{2}^2,\\2d^2=200,\\d^2=100,\\d=\boxed{10}$

Alternative:

$\cos 45^{\circ}=\frac{d}{10\sqrt{2}},\\\frac{\sqrt{2}}{2}=\frac{d}{10\sqrt{2}},\\2d=10\sqrt{2}\cdot \sqrt{2},\\2d=20,\\d=\boxed{10}$

Alternative (derived from the Pythagorean theorem):

All 45-45-90 triangles have side lengths $x-x-x\sqrt{2}$ , where $x\sqrt{2}$ is the hypotenuse. Since this triangle's hypotenuse is $10\sqrt{2}$ , its sides are $10-10-10\sqrt{2}$ .

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3 years ago

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4. The apple tree is 4.56 meters tall. What is the height of the tree in centimeters?

Alexandra [31]

45.6

Step-by-step explanation:

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3 years ago

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Linda borrowed $550 at 1% monthly interest she paid $99 in interest how long did Linda borrow the money

Elenna [48]

The time period for which Linda has borrowed money is 18 years.

<h3>What is Interest ?</h3>

Interest is the amount of extra money paid by the person who has taken a loan.

It is given in the question that

Principal = $ 550

Interest Rate = 1%

Interest paid = $99

Time = ?

The formula for Simple Interest is given by

I = (P*R*T)/100

99 = 550 * 1 * T /100 *12

9900 *12 / 550 = T

T = 18* 12 = 216 months or 18 years.

The time period for which Linda has borrowed money is 18 years.

To know more about Interest

brainly.com/question/13324776

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2 years ago

The fair will be traveling to a place that uses the metric system. They received directions to their next stop, but they are in

MariettaO [177]

Answer:

2x - 0.4x ;

8x/5 ;

Yes

Step-by-step explanation:

Let number of miles = x

Arlene:

Double number of miles = 2 * x = 2x

Subtract 20% of the result :

2x - 20% of 2x ;

2x - 0.4x

Raul:

Divides Number of miles by 5 ; x / 5

Multiplies result by 8 ;

8 * (x/5) = 8x /5

To know if expressions are equivalent :

Let x = 10 miles

Using Arlene's expression:

2x - 0.4x

x = 10

2(10) - 0.4(10) = 16

Using Raul's expression :

8x / 5

(8*10) / 5

80/5

= 16

Since they give the same result, we can conclude that the expression are equivalent

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3 years ago

The equation of a circle is x2 − 4x + y2 + 8y − 29 = 0. what are the center and radius of the circle? enter your answers in the

uranmaximum [27]

$\text{The standard form of the circle:}\\\\(x-h)^2+(y-k)^2=r^2\\\\\text{h and k are the x and y coordinates of the circle}$

$\text{We have}\\\\x^2-4x+y^2+8y-29=0\\\\\text{use:(*)}(a\pm b)^2=a^2\pm2ab+b^2$
$x^2-2x\cdot2+y^2+2y\cdot4=29\ \ \ |+2^2\ \ |+4^2\\\\\underbrace{x^2-2x\cdot2+2^2}_{(*)}+\underbrace{y^2+2y\cdot4+4^2}_{(*)}=29+2^2+4^2\\\\(x-2)^2+(y+4)^2=49$
$\text{Answer: the center (2;-4), the radius}\ r=\sqrt{49}=7$

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3 years ago