To approach the runway, a pilot of a small plane must begin a 5 degree descent starting from a height of 1407 feet above the ground. To the nearest tenth of a mile, how many miles from the runway is the airplane at the start of this approach?

Answer:

The answer is 132 square units

Step-by-step explanation:

Cutting the shape

we have two trapeziums

A=(area of small +Area of big)Trapezium

A=1/2(3+9)8 + 1/2(9+12)8

A=1/2×12×8 + 1/2×21×8

A=12×4 + 4×21

A=48+84

A=132 square units

Answer:

3:4

Step-by-step explanation:

Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

Algebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.

Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.

For example, d + d = 2d

This is an example of an algebraic expressionns.

Given the algebraic expressions,

\(\frac{1}{2}x + 4 \\ x + 6 - \frac{1}{2}x - 2\)

Substituting 2 for x in the first expression gives:

(1/2 × 2) + 4

1 + 4

5

Substituting 2 for x in the second expression gives:

2 + 6 - (1/2 ×2) - 2

8 - 1 - 2

8 - 3

5

Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

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Answer:

. 0625

Step-by-step explanation:

1/2^4

or

1/16

just doing half life

The angle of the T in the ΔRST is 100° and the value of p is 11.

Define Triangle.

A triangle is a polygon that consists of three sides and three vertices. The fact that the interior angles of a triangle add up to 180 degrees is the most crucial aspect of triangles. This characteristic is known as the angle sum property of a triangle.

i.e., In a give ΔABC, ∠A + ∠B + ∠C = 180°.

Given:

∠R = 37°; ∠S = 43°; ∠T = 10p-10°

Let's take ∠T = x

In ΔRST,

∠R + ∠S + ∠T = 180°

37 + 43 + x =  180°

x = 180 - 80 ⇒ 100

∴ ∠T = 100°

To find the value of p,

 ∠T = 100

10p - 10 = 100

10p = 110 ⇒ 11

∴ p = 11

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The tangent of the smaller acute angle in a right triangle is tanФ = 0.42.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

Given, A right triangle with side lengths 5, 12, and 13.

tanФ = 5/12.

tanФ = 0.42.

Ф = tan⁻¹(0.42).

Ф = 22.8°.

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Answer:

The graph of f(x) = x² was transformed to create the graph of g(x) = f(x) + 1.5. Which statement about the graphs is true?

The vertex of the graph of g is 1.5 units to the left of

the vertex of the graph of f.

B

The y-intercept of the graph of g is 1.5 units above the

y-intercept of the graph of f.

The graph of g is a reflection of the graph of f across

the y-axis.

The graph of g is a reflection of the graph of f across

the x-axis.

Step-by-step explanation:

With a market yield to maturity of 5.33%, the amount that would be received for a R 1,000 par value zero coupon bond that matures in five years, but sold today will be R747.26.

To calculate the price you will receive for your zero coupon bond, we can use the formula:

P = F / (1 + r)^n

where:

In this case, the par value is R1,000, the yield to maturity is 5.33%, or 0.0533 as a decimal, and the number of years to maturity is 5.

Therefore, you can expect to receive approximately R747.26 for your R1,000 par value zero coupon bond when the market yield to maturity is 5.33%.

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1) It is non - linear table.

2) It is linear table.

3) It is non - linear table.

We have to given that,

There are three tables are shown in figure.

Since, We know that,

If slope of there corresponding points are same then the given relation is linear otherwise, non - linear.

For first table,

Let two points (- 2, - 8) and (- 1, - 1)

Hence, Slope is,

m = (- 1 + 8) / (- 1 + 2)

m = 7 / 1

m = 7

And, Let two point (0, 0) and (1, 1)

Hence, Slope is,

m = (1 - 0) / (1 - 0)

m = 1

Thus, It is non - linear table.

For second table,

Let two point (- 2, 4) and (-1, 6)

Hence, Slope is,

m = (6 - 4) / (-1 + 2)

m = 2/1

m = 2

Let two point (- 1, 6) and (0, 8)

Hence, Slope is,

m = (8 - 6) / (0 + 1)

m = 2

Hence, It is a linear table.

For third table,

Let two point (0, 1) and (1, 2)

Hence, Slope is,

m = (2 - 1) / (1 - 0)

m = 1

Let two point (2, 4) and (3, 8)

Hence, Slope is,

m = (8 - 4) / (3 - 2)

m = 4

Thus, It is non - linear table.

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The expanded form of the given decimal number is 706.039 = 700 + 0 + 6 +0.0 +0.03 +0.009

We break up a number according to its place value and expand it to show the value of each digit.

Given that to write expanded form of 706.039

Expanded Factors Form:

706.039 = 7 × 100  + 0 × 10 + 6 × 1  + 0 × 0.1 + 3 × 0.01 + 9 × 0.001

Expanded Notation Form:

706.039 = 700 + 0 + 6 +0.0 +0.03 +0.009

Hence, the expanded form of the given decimal number is 706.039 = 700 + 0 + 6 +0.0 +0.03 +0.009

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Answer:

Refer to the step-by-step explanation.

Step-by-step explanation:

Come up with a monomial expression and solve it.

A monomial expression is an algebraic expression that consists of a single term. It is an expression that can contain variables, constants, and non-negative integer exponents, but there should be no addition or subtraction between different terms.

Here are a few examples of an monomial expression:

\(\hrulefill\)

Let's work with the monomial expression, 3x²y³z.

To solve this expression, I assume you would like to evaluate it for specific values of the variables x, y, and z. So let x=3, y=2, and z=1.

Plug these values into the expression:

3x²y³z

=> 3(3)²(2)³(1)

=> 3(9)(8)(1)

=> 27(8)(1)

=> 216(1)

=> 216

Thus, the expression is solved.

The zeros of g(x) = (x + 2)(x − 1)(x − 2) are x = -2, 1 and 2

From the question, we have the following parameters that can be used in our computation:

The 5 functions of g(x)

To determine the key features of the function g(x), we make use of the first

g(x) = (x + 2)(x − 1)(x − 2)

So, we have

Zeros

This is when the function equals 0

(x + 2)(x − 1)(x − 2) = 0

Evaluate

x = -2, 1 and 2

The y-intercept

This is when the value of x in the function equals 0

g(0) = (0 + 2)(0 − 1)(0 − 2)

Evaluate

g(0) = 4

End behaviour

This is the behavior of the graph of the function as it approaches the ends of the x-axis

So, we have

\(\mathrm{as}\:x\to \:+\infty \:,\:g\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:g\left(x\right)\to \:-\infty \:\)

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Answer: The answer is 2:3 4:6.

Step-by-step explanation: 2 x 4 = 8. 3 x 4 = 12.

4 x 2 = 8. 6 x 2 = 12. Hope this works! :) If not I am sorry :(

The experimental probability of choosing a nickel based on 13 trials would be 4 / 13

The experimental probability can be found by the formula ;

= ( ( Probability of picking a Nickel x Number of trials ) + 1 ) / 13 trials

Probability of picking a Nickel - 1 / 4

Number of trials - 13 trials

The experimental probability for Landon picking a Nickel on the 13th trial is :

= ( ( 1 / 4 x 12 ) + 1 ) / 13

= ( 3 + 1 ) / 13

= 4 / 13

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Answer:

3. is the correct answer

Step-by-step explanation:

Answer:

3

Step-by-step explanation

100=1 hundred

200=2 hundred

300=3 hundred

Answer:

Step-by-step explanation:

The function rule g(x) after the given transformations of the graph of f(x)=4x is g(x) = -1/2x

Transformation techniques

Transformation is the process of changing the position of an object on the xy-plane.

Given the parent function

f(x) = 4x

If the function is not reflected over x-axis, the resulting function will be f(x) = -4x

If the resulting function is compressed by a factors of 1/8, hence the final function rule will be;

g(x) = 1/8(-4x)

g(x) = -1/2x

Hence the function rule g(x) after the given transformations of the graph of f(x)=4x is g(x) = -1/2x

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The perimeter of the shaded region, given the shape, and the semi - circles is 8. 02 cm

First, find the perimeter of the rectangle which is the distance around it :

= 2 + 5 + 2 + 1 + 4 + 1 + 2 + 5 + 2 + 1 + 4 + 1

= 30 cm

Then find the perimeter of the semi-circles which is their circumference :

Circumference of the two semicircles facing each other:

= π x diameter

= 2 x ( 3. 14 x 5 ) x 1 / 2

= 15. 7 cm

Circumference of other semicircle :

= ( 3. 14 x 4 ) x 1 / 2

= 6. 28 cm

The perimeter of the shaded area is :

= 30 - 15. 7 - 6. 28

= 8. 02 cm

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The graph of the function f(x)=√(x + 1) is in the first option

A radical graph, also known as a square root graph, represents the graph of a square root function. A square root function is a mathematical function that takes the square root of the input variable.

The general form of a square root function is f(x) = √(ax + b) + c,

where a, b, and c are constants that determine the characteristics of the graph.

In the given function:

a = 1

b = 1

c = 0

The graph is plotted and attached

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Answer:

There will be 5 full groups of 7 with 1 person left over so you can make it 6 if you want

Step-by-step explanation:

7 times 5 equals 35 plus 1 equals 36

Step-by-step explanation:

there is something severely wrong with the problem definition.

when the Hypotenuse = 9, there is no 30-60-90 triangle with a leg = 6.

and when we are just focusing that this is a right-angled triangle with the Hypotenuse = 9, then 6 cannot be the longer leg.

it is also not clear what the solution is supposed to be. the 2nd leg ? the area ? the perimeter ? the height(s) ? ...

what ?

so, all I can do here is to show you why I said what I said :

30-60-90 triangle with Hypotenuse = 9

then the longer leg is opposite of the 60° angle and therefore sin(60)×9 = 7.794228634...

the shorter leg is opposite of the 30° angle and therefore sin(30)×9 = 0.5×9 = 4.5

a right-angled triangle with Hypotenuse = 9, one leg = 6 gives us per Pythagoras for the other leg

9² = 6² + leg²

81 = 36 + leg²

45 = leg²

leg = sqrt(45) = 6.708203932...

so, you see, as stated above, there is no leg with the length 6 in such a 30-60-90 triangle.

and in a more general right-angled triangle, if one leg = 6, then the other leg is actually longer.

therefore, there is everything wrong with the problem definition.

The calculated value of x in the unit circle is 81

From the question, we have the following parameters that can be used in our computation:

The circle

The sum of angles on a circumference of a circle is 360 degrees

using the above as a guide, we have the following:

x + 69 +  x + 49 + 80 = 360

When the like terms are evaluated, we have

2x = 360 - 80 - 49 - 69

Evaluate

2x = 162

So, we have

x = 81

Hence, the value of x is 81

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Answer:

Step-by-step explanation:

The answer is 48 hotdogs because 120 divided by $2.50 is 48

By using the mean formula, the mean grade across all four classes was 83.25%.

The mean is a measure of central tendency that represents the average value of a set of data

The formula for calculating the mean:

Mean = (x1 + x2 + x3 + ... + xn) / n

Where:

x1, x2, x3, ..., xn are the individual values in the set

n is the total number of values in the set

Mean = (74 + 82 + 86 + 91) / 4

Mean = 333 / 4

Mean = 83.25

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Answer:

5m

Step-by-step explanation:

The reduced differential equation is 1/2 eᵃcos²θ -cosec²θ

The term differential equation refers the process to find the instantaneous rate of change in function based on one of its variables.

Here we have the equation g(y) = 2 dy/dt = eᵃsin²θysecθ

Now, we have to differentiate the equation.

The given equation is written as.

=> g(y) = 2 dy/dt = eᵃsin²θysecθ

Now, we have to move the constant to the other side then we get

=> g(y) = dy/dt = eᵃsin²θysecθ/2

While we differenctiate the costant remains same, so,

=>g(y) =  dy/dt = 1/2 eᵃsin²θysecθ dy/dt

We know that the differciation of sin x = cos x,

So,

=> g(y) =  dy/dt = 1/2 cos²θ eᵃy secθ dy/dt

Ans the value of sec θ = -cosec²θ

So, the resulting value is,

=> g(y) =  dy/dt = 1/2 eᵃcos²θ -cosec²θ

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The rear windshield wiper of a car rotated 120 degrees, as shown in the figure. The area cleared by the wiper blade is approximately 205.875 square inches.

The problem states that a car’s rear windshield wiper rotates 120 degrees, as shown in the figure. Our aim is to find the area cleared by the wiper.

The wiper's arm is represented by a line segment and has a length of 14 inches.

The wiper's blade is perpendicular to the arm and has a length of 25 inches.

Angular degree measure indicates how far around a central point an object has traveled, relative to a complete circle. A full circle is 360 degrees, and 120 degrees is a third of that.

As a result, the area cleared by the wiper blade is the sector of a circle with radius 25 inches and central angle 120 degrees.

The formula for calculating the area of a sector of a circle is: A = (θ/360)πr², where A is the area of the sector, θ is the central angle of the sector, π is the mathematical constant pi (3.14), and r is the radius of the circle.

In this situation, the sector's central angle θ is 120 degrees, the radius r is 25 inches, and π is a constant of 3.14.A = (120/360) x 3.14 x 25²= 0.33 x 3.14 x 625= 205.875 square inches, rounded to the nearest thousandth.

Therefore, the area cleared by the wiper blade is approximately 205.875 square inches.

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Answer:

Here is a completed table using the equation 5/2x:

Step-by-step explanation:

Answer:

ajsjdhdjajxjdhsjakchavd

Step-by-step explanation:

jajsggf