A ladder that is 14 feet long is placed against a building. The bottom of the ladder is 6 feet from the base of the building.

A right triangle with side length 6 feet, hypotenuse 14 feet, and side h.

In feet, how high up the side of the building is the top of the ladder? Round to the nearest tenth of a foot.


12.65

Answer:

P (face card) =  0.0003

Step-by-step explanation:

There are 12 cards (face cards  such as jack, queen king, or ace) and 36 numbered cards from2's to 10's.

The probability of picking 5 face cards out of 12 face cards when we have to choose 5 cards from 52 deck cards is given by

P (face card) =  12C5/ 52C5= 0.0003

The length of the arc of the sectored watered is 27.9 feets

length of arc is the distance between two points along a section of a curve.In other words, it's the distance from one point on the edge of a circle to another, or just a portion of the circumference

The length of an arc is given by :

L = theta/360 × 2πr

where tetha is the angle substends

r is the radius

Here the radius is the length at which water is sprayed = 20 ft

tetha = 80°

therefore l = 80/360 × 2×3.14 × 20

L = 29feets

Therefore the length of the arc formed by the water is 27.9 feets

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Answer:

Step-by-step explanation:

To find the volume of this solid, multiply the base area by the height:

V = (25 cm²)(4 cm) = 100 cm³

The required volume of the solid will be 100 cm³ in the given figure.

The volume of a solid is the amount of space occupied by an object. It is determined by the number of unit cubes required to completely fill the solid.

The solid is given has the base area and the height provide the following:

The base area of the solid = 25 cm²

The height of the solid = 4 cm

As per the given figure, the required solution would be as:

To find the volume of the given solid, multiply the base area by the height:

The volume of the solid = The base area x The height

The volume of the solid = (25 cm²) x (4 cm)

Apply the multiplication operation, and we get

The volume of the solid = 100 cm³

Therefore, the required volume of the solid will be 100 cm³ in the given figure.

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The translation of the coordinate points on the graph by linear displacement in comparison of original points ( x , y ) get translated to     ( x + h,  y + k ) where h ∈R , k ∈R.

As given in the question,

Let us consider original coordinate point on a given graph be ( x ,y ).

Translation represents the change in the linear displacement or the location without changing the shape and size.

Shift of the point may be horizontally or vertically.

Let 'h' and 'k' be the horizontal and vertical shift.

If the horizontal shift is right then it is represented by x + h

If the horizontal shift is left then it is represented by x - h

If the vertical shift is up then it is represented by y +k

If the vertical shift is down then it is represented by y - k.

Therefore, the translation of the coordinate points on a given graph represented by original points ( x , y ) get translated to ( x + h,  y + k ) where h ∈R , k ∈R.

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Step-by-step explanation:

50 is your correct Answer

The y-intercept in this situation means A. When the cab travels 0 miles, the total fee will be $14.00.

The formula to find the y-intercept is y = f(x), where x = 0, and then solve for y.

The equation for a linear relationship is y = mx + b, where x is the independent variable, y is the dependent variable, m is the slope of the line, and b is the y-intercept.

Cab Fare

Number of Miles Total Fee

2                             $17.00

5                             $21.50

7                            $24.50

10                          $29.00

15                          $36.50

Difference between 7 and 5 = 2

Difference between $24.50 and $21.50 = $3

Variable cost per mile (Slope) = Rise/Run

= $1.50 ($3/2)

y = mx + b

y-intercept, b = 24.50 - 7(1.5)

= 14

= $14.00

Thus, the y-intercept in this situation means Option A while the slope shows that for every additional mile, the total fee increases by $1.50.

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Answer:

The y-intercept in this situation means A. When the cab travels 0 miles, the total fee will be $14.00.

Step-by-step explanation:

Answer:

0,000003588

Step-by-step explanation:

the answer is 0 :)

Step-by-step explanation:

LOL.......................... -,-

Answer:

e-5

Pretty simple

The probability that 3 or more copies will be demanded in a particular day is 0.64.

What is probability?

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

The probability for 3 or more copies to be demanded is the sum of all the probability distributions for 3 or more copies demanded per day.

This can be written in an equational form -

P(x) = 0.14 + 0.12 + 0.10 + 0.08 + 0.07 + 0.06 + 0.04 +0.03

P(x) = 0.64

Therefore, the probability is 0.64.

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The graph is attached and  the point of maximum as y"(π/6) < 0 and at point of minimum y"(π/2) > 0.

An inflection point is where a graph's curvature changes, from concave up to concave down or vice versa. It is also known as a turning point, flex, inflection, or "point of diminishing returns."

A concave down graph resembles an upside-down U or a cap, while a concave up graph resembles the letter U (or a "cup"). The intersection of a "cup" and a "cap" marks the inflection point.

Given displacement of mass by function,

y = sin(3t), where 3t is in radians,

the graph for t = 0 and t = 2 sec.

2: The position of turning point,

differentiate the equation we get,

y' = 3cos(3t)

the turning points are t = π/6 and t = π/2

y'(π/6) = y'(π/2) = 0

3: inflexion points,

again differentiate the equation we get,

y" = -9sin(3t)

and inflection at π/3

because y"(π/3) = 0

Maximum and minimum points are π/6 and π/2 respectively,

as the point of maximum t = π/6 as y"(π/6) < 0,

and point of minimum at t = π/2 as y"(π/2) > 0.

Hence the graph is attached and maximum at t = π/6, and minimum at t = π/2, and inflection at π/3.

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Answer:

[tex]x=-6, 0[/tex]

Step-by-step explanation:

Using the zero-product property, we know that [tex]x=0[/tex] or [tex]x+6=0[/tex].

This means [tex]x=-6, 0[/tex].

Therefore , the solution of the given problem of expression comes out to be √14q × 2√4q = 4q√14.

combinations of numbers, symbols, and operations (such + and) that show how much something is worth. Examples: • 2 + 3 is the formula.

• 3 x/2 variable  is another formula.There is no equals sign in the expression. A mathematical expression is a sentence made up of variables, numbers, or both. There is never an equal symbol in an expression. These expressions are examples. An equation is a mathematical statement proving the equality of two expressions.

Here,

The simplified expressions are 20 = 25, 56x2 = 2x14, [150x3k4] = 5xk26x, and 14q 24q = 4q14 given the facts from the question.

Simplifying the surd

A perfect square must be one of the components for a number to be written as just surds.

How to Make 20 Recall Simpler

20 = 4 × 5

Thus,

√20 = √(4 × 5)

√20 = 2√5

simple methods √(56x²)\s√(56x²) = √56 × √x²

Recall

√56 = √(4 × 14) = 2√14

√x² = x

Thus,

√(56x²) = 2√14 × x

√(56x²) = 2x√14

simple methods [150x3k4] = [150x3k4] = [150x3k4]

Recall

√150 = √(25 × 6) = 5√6

√x³ = √(x² × x) = x√x

√k⁴ = k²

Thus,

√[150x³k⁴] = 5√6 × x√x × k²

√[150x³k⁴] = 5k²x√6x

How to simplify 14q 2 4q: 14q 2 4q = 2

(14q × 4q)

√14q × 2√4q = 2 × 2q√14

√14q × 2√4q = 4q√14

Therefore , the solution of the given problem of eexpression comes out to be √14q × 2√4q = 4q√14.

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Answer:

44°

Step-by-step explanation:

Given that :

Two angles are equal sized;

Let the angle = x

Third angle = 12 smaller than first, x - 12

The measure of the third angle ;

Sum of angles in a triangle = 180°

First + second + third angle = 180°

x + x + (x - 12) = 180

2x + x - 12 = 180

3x = 180 - 12

3x = 168°

x = 56°

The third angle :

(x - 12) = 56 - 12 = 44°

So, by fraction, number of times he will have to fill the smaller measuring cup to equal 1 3/4 cups is 7 times.

Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. A whole includes fractions. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. True fractions have numerators that are less than their denominators. A fraction is a sum that constitutes a portion of a total. By breaking the entire up into smaller bits, you can evaluate it. Half of a full number or item, for instance, is represented as 12.

Glass holds = 1(3/4) cups of water

One cup holds = 1/4 cup of water

number of 1/4 cups needed to fill the 1(3/4) cups of water glass.

[tex]\frac{1}{4xC}=1(\frac{3}{4})\\\\\frac{C}{4} = \frac{7}{4} \\\\C=\frac{7}{4x4}\\ \\C= 4[/tex]

number of times the smaller cup fills the glass is 7.

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Complete Question: Quentin is filling a glass that holds 1 3/4 cups of water. he is using 1/4 cup measuring cup. how many times will he have to fill the smaller measuring cup to equal 1 3/4 cups?

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The probability of not rain on weekend is 7%.

We have given that,A local weather station forecasted 93% chance of rain on a weekend.

We have t find the probability of not rain on the weekend.

Probability of not to rain=1-probability of rain

Therefore we get,

100%-93%=7%

[tex]\frac{7}{100}=0.07[/tex]

So the probability of not rain on weekend is 7%.

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The cost of oil to fill the drum with height of 4 feet and a radius of 1.2 feet will be $397.90.

An understanding of the different dimensions is necessary to truly understand cubic feet, how big a cubic foot is, and how to measure cubic feet. There are three known dimensions which include a foot measurement. The dimensions expand to include additional measurements with each new dimension.

The cubic foot is an imperial and US customary unit of volume, used in the United States and the United Kingdom. It is defined as the volume of a cube with sides of one foot in length. Its volume is 28.3168 L. At 60 °F, a cubic foot of water weighs 62.37 pounds. A cubic foot (abbreviated as cu ft. or cubic ft.) is an imperial unit of measurement for the volume of a space or three-dimensional object.

Given: A drum of oil has a height of 4 feet and a radius of 1.2 feet. Oil cost has been given as $22 per cubic feet.

We have to calculate the cost to fill the drum with oil.

Since formula to get the volume of the drum is V = πr²h

V = 3.14×(1.2)²×4 = 18.09 feet³

Now the cost of oil to fill the drum will be

Cost = Volume × cost = 18.09×22 = $397.90

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Answer:

I'm not exactly sure what you were doing in class but this is what I would do.

I really hope it helps!! :)))

Step-by-step explanation:

for A I would connect the D point of the top angle to the D point of the bottom angle and draw the line across line t. For B the points all share the same angle because the figure is being reflected over line t the position of the figure changes but the size and angles stay the same. use a protractor in B to verify all the angles are the same. For C the only thing that would make sense is that all the lines are parallel because the figure was flipped. and for D just trace one on top of the other

Answer: 3/5

Step-by-step explanation:

11/15-2/15=9/15

9/15 simplified is 3/5 :D have a nice day! hoped this helped!

The value of sin (20°) will always be positive, because :

0° < 20° < 90°

we know, that 20° lies in first quadrant and values of sin in first quadrant is always positive.

Answer:

75%

Step-by-step explanation:

First, take a look at the equation.

  4, 500(1.75)^t

4500 is the y-intercept, or the INITIAL VALUE, as given in the information.

Exponential Growth is shown when the percentage is added to 1. For example, in this case, it's 1+0.75, which equals 1.75.

Therefore, annually, it increases by 75%.

Answer:

I would say F

Step-by-step explanation:

This is because a rectangle need to have at least one side of parallel sides that are the same length and F confirms that.

Total profit earned = 25000000 dollars

Profit is a financial achievement which is the difference between the amount of money or resources people earned and the amount is spent in various purpose. In case of a business organization, the difference between production and cost is termed as profit. Let, someone invested money for operating business, he needs to spend money for workers, for the welfare of business and after all these he has amount that comes from business that is called profit.

Given, profit earned = $ 2.5 × 10⁴ in the 1×10³ days in a row

total profit earned during this time = $(2.5 × 10⁴ × 10³)

                                                         $2.5 × 10⁷

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Answer:

4√2 ft

Step-by-step explanation:

The two absolute value expressions equivalent to the accuracy of a pool thermometer are |t - p| and  |p - t|

Absolute value means to remove any negative sign in front of a number and to think of the number as positive.  This is indicated by the vertical lines |  |

Any expression that contain the vertical lines is called absolute

value expression

Since the accuracy of a pool thermometer is the positive difference between the temperature reading on the thermometer t and the actual temperature of the pool p.

We can write:

accuracy = | t - p|

OR

accuracy = | p - t|

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Answer:

It-pI

Step-by-step explanation:

The required length of the curst on the edge of one piece of pizza 1.5 π. Option D is correct.

Perimeter is the measure of the figure on its circumference. The perimeter of a circle is given as 2πr, where r is the radius of the circle.

here,
A pizza has an 18-inch diameter
Circumference of pizza = 18π

The pizza is sliced into 12 pieces, and the length of the crust on the edge of one piece of pizza is given as,
= 18π/12
= 1.5π

Thus, the required length of the curst on the edge of one piece of pizza is 1.5 π.

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Answer:

13cm

Step-by-step explanation:

Answer: 13cm

Step-by-step explanation:

Answer: I believe the answer is 5

Answer:

in the first question you use the cosine rule to solve the problem since you have one angle and two sides of the triangle and the rules states thus x square is equal to 5 squid + 8 squared -2 * 5 * 8 x cos 60