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3 years ago

Is this correct? formula is displayed on image:

Mathematics

2 answers:

Len [333]3 years ago

7 0

Answer:

no it should bee

$\tan( \alpha ) = \frac{15}{8}$

Damm [24]3 years ago

5 0

Answer:

x = 15

Step-by-step explanation:

The angle between a tangent and a radius at the point of contact F is 90°

Then Δ GFE is a right triangle

Using Pythagoras identity in the right triangle

x² + 8² = 17²

x² + 64 = 289 ( subtract 64 from both sides )

x² = 225 ( take the square root of both sides )

x = $\sqrt{225}$ = 15

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Identify an equation in point-slope form for the line perpendicular to

Alchen [17]

Answer:

$y - 9 = \frac{1}{2}(x +3)$

Step-by-step explanation:

Given

Function; $y = -2x + 8$

Required

Find an equation perpendicular to the given function if it passes through (-3,9)

First, we need to determine the slope of: $y = -2x + 8$

The slope intercept of an equation is in form;

$y = mx + b$

Where m represent the slope

Comparing $y = m_1x + b$ to $y = -2x + 8$ ;

We'll have that

$m_1 = -2$

Going from there; we need to calculate the slope of the parallel line

The condition for parallel line is;

$m_1 * m_2 = -1$

Substitute $m_1 = -2$

$(-2) * m_2 = -1$

Divide both sides by -2

$m_2 =\frac{ -1}{-2}$

$m_2 =\frac{1}{2}$

The point slope form of a line is;

$y - y_1 = m_2(x - x_1)$

Where $(x_1,y_1) = (-3,9)$ and $m_2 =\frac{1}{2}$

$y - y_1 = m_2(x - x_1)$ becomes

$y - 9 = \frac{1}{2}(x - (-3))$

Open the inner bracket

$y - 9 = \frac{1}{2}(x +3)$

Hence, the point slope form of the perpendicular line is: 

 $y - 9 = \frac{1}{2}(x +3)$ 

3 0

3 years ago

Select the choice containing all of the congruent sides from the two triangles.

Lynna [10]

Answer:

Step-by-step explanation:

The order of the letters in the side's name should correspond to their position in the name of the triangle.

5 0

4 years ago

Your water bill consists of five parts: A base hookup fee of $32.50, a water fee of $0.03 per gallon of water, a sewer fee of $0

Taya2010 [7]

You have to keep calm and to treat data as it come.

1 ) Start by constant fees :

hook up fees is 32.50 and trash collection fees are 35

so contant fees : 32.50 +35 = 67.50

2 ) Now we have to deal with variable fees which depend on how much water is used

water fees :

0.03 per gallon, and we have 4 000 gallon, so :

0.03*4 000 = 120

Sewer fees :

0.01 per gallon, and we have 4 000 gallon, so :

0.01 * 4000 = 40

3 ) Total before taxation we have :

67.50 +120 +40 = 227.5

4) Now we apply tax on the total before tax.

tax is 5 % , which mean you rise the "off tax " price by 5 percent.

To grow a number of X % , you multiply by 1+ X/ 100

here X = 5 so the multiplicator is : 1 + 5/100 = 1.05

So total of the bill is : 227.5 * 1.05 = 238.875

The water compagny is probably going to round it up to 238.88

4 0

2 years ago

Alexandra and Stephanie are sisters, and they're saving their money to buy a used car. Together they have more than $2,500, and

Vilka [71]

Answer:

Stephanie has more than $900

Step-by-step explanation:

Represent the unknowns: a for Alexandra and s for Stephanie.

Then a + s > $2,500, and a = s + $700.

Substituting the latter into the former equation, we get:

(s + $700) + s > $2,500, or

2s > $1800

Then s > $900; Stephanie has more than $900.

7 0

2 years ago

Which statements are true?

Nata [24]

Answer:

123

Step-by-step explanation:

5 0

3 years ago