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3 years ago

Find X. BC is the tangent

Mathematics

2 answers:

pav-90 [236]3 years ago

7 0

Answer:

x = 9

Step-by-step explanation:

The angle formed by the tangent BC and the radius AB is right at B

Thus ΔABC is right with AC as the hypotenuse

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, hence

AC² = AB² + BC² ← substitute given values

(x + 6)² = x² + 12² ← expand squared parenthesis on left side

x² + 12x + 36 = x² + 144 ( subtract x² from both sides )

12x + 36 = 144 ( subtract 36 from both sides )

12x = 108 ( divide both sides by 12 )

x = 9

Arturiano [62]3 years ago

4 0

Check the picture below.

let's recall that the point of tangency with the radius chord is always a right-angle.

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The pH scale for acidity is defined by pH= -log subscript 10 [H superscript+] where [H superscript+] is the concentration of hyd

gtnhenbr [62]

Answer:

The concentration of hydrogen ions in moles per liter (M) is $3.981 * 10^{-9}$

Step-by-step explanation:

As we know

The hydrogen ion concentration of any solution at pH is given by

$H^+ = 10^{-pH}$

Substituting the given values in above equation, we get -

$H^+ = 10^{-8.4}\\H^+ = 3.981 * 10^{-9}$ mol/l

The concentration of hydrogen ions in moles per liter (M) is $3.981 * 10^{-9}$

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3 years ago

Automobile fuel efficiency is often measured in miles that the car can be driven per gallon of fuel (mpg). Heavier cars tend to

Maksim231197 [3]

Answer:

Correct option: A. Weight.

Step-by-step explanation:

In regression analysis there are two kinds of variables: Explanatory and Response variable.

The explanatory variable are used to predict the changes in the response variable. They are also known as independent or predictor variable.

The response variable are observed for any changes caused by the explanatory variable. They are also known as the dependent or experimental variable.

In this case it is provided that heavier cars have lower fuel efficiencies.

It implies that there is linear inverse relationship between the variables weight of the car and fuel efficiency.

The response variable is the fuel efficiency and the explanatory variable is the weight of the car. Since the weight of the car is used to determine the fuel efficiency.

Thus, the explanatory variable is the weight of the car.

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3 years ago

A bike wheel with a diameter of 14 inches makes 100 rotations. How far does the bike go?

mars1129 [50]

1,400 inches or 116.7 feet

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3 years ago

Which function has the greatest rate of change?

Ilia_Sergeevich [38]

The rate of change is the slope...and in y = mx + b form, the slope is in the m position. So we need to put the equations in y = mx + b form.

A. 6x - 7y = 21
-7y = -6x + 21
y = 6/7x - 2....so the slope here is 6/7 or 0.857

B. y = 2x - 2....this is already in the form we need...the slope is 2

C. (2,7)(3,13)
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the slope with the greatest rate of change is gonna be the one with the highest slope......and that would be C.

3 0

2 years ago

Read 2 more answers

Hikers came across a part of a redwood stump. If the length of the chord is 8 feet, what was the diameter of the tree?

erastova [34]

So in the problem, the length of the chord there is the circumference of the tree. So in order to get the diameter of the tree, we must use the formula in getting the circumference of a circle that is stated as follows.

C = 2pi *Radius

so first we need the get the radius of the tree which represent by this formula:

Radius = C /2pi = 8/6.2832 = 1.2732 ft
Diameter = 2*radius = 2 * 1.27 32 = 2.5465 feet

In summary, the diameter of the tree is 2.565 feet.

7 0

2 years ago