What angle of descent ( depression) should the pilot use to safely bring the plane to the airport runway? The plane is 10,000 feet above the ground and is a little more than 30 miles ( approximately 160,000 feet) from the airport. Write an equation and show work . Round the angle measure to the nearest whole degree. ( Picture is not drawn to scale )

Answer: is 48 eggs .

Step-by-step explanation:

3 hens gives 3 eggs in 3 days

Therefore , 1 gives 1 egg in 3 days

So

3days = 1egg

After that 12 days\/3 times = 4 eggs (in 12 times )

So 1 hen offers 4 eggs in 12 days after that

12 hens x 4 eggs = 48 eggs (in 12 days by 12 hens)

The total amount the recycler pays Olivia is $1000.

The weight of the copper is expressed as a fraction A fraction is a non-integer that is made up of a numerator and a denominator. The numerator is the number above and the denominator is the number below.

There is a need to convert tons to pounds:

1 ton = 2000 pounds

1/8 x 2000 = 250 pounds

The total amount that the recycler pays can be determined by multiplying the total pounds by cost per pound.

Total cost = cost per pound x total pound

250 x $4 = $1000

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Answer:

r = 3.75

Step-by-step explanation:

C = 2(pi)r (write equation)

r = c / 2pi (rearrange for r)

r = 23.55 / 2(3.14) (plug in variables)

r = 23.55 / 6.28 (simplify)

r = 3.75 (solve)

[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

As you can see in the quadrilateral ABCD, the two angles measure 90° (as they are tangents to circle c) and one of them is given 124°

we need to find the Angle BAD : let it be x ~

By angle sum property of Quadrilaterals,

[tex]\qquad \sf  \dashrightarrow \: 90 + 90 + 124 + x = 360[/tex]

[tex]\qquad \sf  \dashrightarrow \: x+30 4 = 360[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 360 - 304[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 56 \degree[/tex]

Hence, Angle m A = 56°

Answer: c

Step-by-step explanation:

Step-by-step explanation:

step 1: multiply [tex]2^m[/tex] by [tex]3^n[/tex]

2 × 3 = 6

to times power you must add them

[tex]2^m[/tex] × [tex]3^n[/tex] = [tex]6^{m+n}[/tex]

step 2: rearrange

[tex]6^{m+n}[/tex] = 108

can you do this step by yourself

Answer:

x<-3 or -3<x<-1 or x>-1

Step-by-step explanation:

Domain - The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.

\mathrm{Domain\:of\:}\:\frac{1}{x^2+4x+3}\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x<-3\quad \mathrm{or}\quad \:-3<x<-1\quad \mathrm{or}\quad \:x>-1\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:-3\right)\cup \left(-3,\:-1\right)\cup \left(-1,\:\infty \:\right)\end{bmatrix}

Answer:

75%

Step-by-step explanation:

3/4 ie 75/100. .........edge

Answer:

1.0954.

Step-by-step explanation:

Standard error  =  std dev / √n

=  6 / √30

= 1.0954.

Answer: 2

Step-by-step explanation:

[tex]y=\frac{1}{3}x^2 +2x+5 \longrightarrow \frac{dy}{dx}=\frac{2}{3}x+2[/tex]

Setting this equal to 0 yields [tex]x=-3[/tex].

When [tex]x=-3[/tex], [tex]y=2[/tex]

Answer:

Step-by-step explanation:

Given quadratic equation:

Its leading coefficient is positive, so it has minimum value at vertex.

The x-coordinate of the vertex is:

Substitute the coefficients:

Find the value of y at vertex:

The matching answer choice is A.

Answer:

D

Step-by-step explanation:

circles are parallel to the base and therefore only pass through 1 nappe

if the plane weren't parallel, we would make an ellipse

Answer:

A) -6

Step-by-step explanation:

its just by substituting 3 in place of x

3(3-4)+2(3)-(3)²

3(-1)+6-9

-3+(-3)= -6

pls gimme brailiest if it helped :)

Answer:

A. -6

Step-by-step explanation:

3(x-4) + 2x - x²

Evaluate

Let x =3

Substitute into the expression

3( 3-4) +2(3) - 3^2

Parentheses first

3( -1) +2(3) - 3^2

Exponents next

3( -1) +2(3) - 9

Multiply

-3 +6 -9

Add and subtract

-6

Compute the speed of the car:

[tex]\dfrac{2\pi\,\rm ft}{1\,\rm rev} \cdot \dfrac{13\,\rm rev}{1\,\rm s} \cdot \dfrac{1\,\rm mi}{5280\,\rm ft} \cdot \dfrac{3600\,\rm s}{1\,\rm h} = \dfrac{195\pi}{11} \dfrac{\rm mi}{\rm h} \approx 55.6919 \dfrac{\rm mi}{\rm h}[/tex]

So after 1 hour, Sal will have driven about 56 mi.

Answer:

If  m(x) = x^3 - x^2 - 5x - 3 then x - 3 is a factor.

Step-by-step explanation:

By the Factor Theorem if  (x - a) is a factor of f(x) then f(a) = 0.

m(x) = x^3 - x^2 - 5x - 3

m(3) = 27 -  9  - 15 - 3 = 0

- so x - 3 is a factor

(-3²)-2(-3-4)-(-1³)

=9-2(-7)+1

=9+14+1

=24

Hope it helps!

Answer: look at the picture

Step-by-step explanation:

Answer:

B.  -x³ - 9x².

Step-by-step explanation:

- (3x³ + x²) +2 (x³ - 4x²)

= -3x³  + 2x³  - x² - 8x²

= -x³ - 9x²

Answer: [tex]\Large\boxed{-x^3-9x^2}[/tex]

Hi there! By my calculation, I got the answer above. However, it doesn't fit any one of the answer choices. I am not sure if I am totally correct, but I have been double-checking my answers. Please let me know whether it's the answer choices mistaken or I am wrong so that I could modify my answer if necessary.

Step-by-step explanation:

Given expression

- (3x³ + x²) +2 (x³ - 4x²)

Expand parenthesis by the distributive property

= -3x³ - x² + 2x³ - 8x²

Combine like terms

= -3x³ + 2x³ - x² - 8x²

[tex]\Large\boxed{=-x^3-9x^2}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

The value of given trigonometric value cos(22. 5°) is 0.387.

According to the statement

we have given that the trigonometric value and we have to find the exact value of that given value with the help of the half angle formula.

So, For this purpose, we know that the

The half angle formulas are used to find the exact values of the trigonometric ratios of the angles like 22.5°.

So,

The given value is :

cos(22. 5°)

Then the value of cos half angle formula is

[tex]cos (theta/2) = +- sqrt((1-cos theta) / 2)[/tex]

then

The value of θ/2 is 22.5 degree.

And θ is 22.5*2

θ = 45 degree

and cos 45 degree is 1/squareroot 2

And by this the value of given value become is

[tex]cos 22.5 = +\sqrt{((\sqrt{2} -1)/(2 \sqrt{2} )) } = + 0.3827[/tex]

So, The value of given trigonometric value cos(22. 5°) is 0.387.

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Answer:

False

Step-by-step explanation:

The variable could also be -3, not just 3.

Answer:

False

Step-by-step explanation:

x^2 - 9 = 0

x^2 = 9

x = +- 3

Answer:

Area = (a² -5a) in²

Perimeter = (4a -10) in

Step-by-step explanation:

Let the length of the rectangle be a.

Given that, its width is 5 in less than the length.

So,

length ⇒ a

width ⇒ (a - 5)

First, let's find the area of the rectangle.

Area = length × width

Area = a ( a - 5 )

Solve the brackets.

Area = (a² -5a) in²

Now, let us find the perimeter of the rectangle.

Perimeter = 2 ( l + w )

Perimeter = 2 ( a + a - 5 )

Perimeter = 2 ( 2a - 5 )

Perimeter = (4a -10) in

Answer: $200

Step-by-step explanation:

       We will find 66⅔% of $300 to see how much Jay received. A percent divided by 100 becomes a decimal.

               66⅔% / 100 ≈ 0.667

               0.667 * $300 = $200

The five number summary and interquartile range for the data-set is given by:

In this problem, we have that:

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Based on the given parameters of a = 1.7 cubic feet and concrete for first 4 steps as 17 cubic feet, the concrete is required for the first 12 steps is 132.6 cubic feet

Sn = n/2 {2a + (n - 1) d}

17 = 4/2{2×1.7 + (4 - 1)d}

17 = 2{3.4 + (3)d}

17 = 2(3.4 + 3d)

17 = 6.8 + 6d

17 - 6.8 = 6d

10.2 = 6d

d = 10.2/6

Concrete required for first 12 steps;

Sn = n/2 {2a + (n - 1) d}

= 12/2{2×1.7 + (12-1)1.7}

= 6{3.4 + (11) 1.7}

= 6(3.4 + 18.7)

= 6(22.1)

= 132.6

Concrete required for first 12 steps = 132.6 cubic feet

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Answer:

132.6 cubic feet

Step-by-step explanation:

Answer:

sheu7euw73u3hsusuuwueudhdhdhsjsjwiwuwuehehdggdhdue

Step-by-step explanation:

hzhsusududjdndjdhehhshshhdhdhdhdhdhdhdhdhbhdhdhhdhdhdudxbdhdhdhdhhshdhyehsuehduwhgduwhdydh

The equation of the vertical asymptote of the function [tex]g(x)=4log_{2} (x-2)+5[/tex] is x=2.

Vertical asymptotes are vertical lines that represent the zeros of a rational function's denominator. Asymptotes can also occur in other situations, such as logarithms. It occurs at the x-value that is outside the domain of the function, therefore the graph can never cross it.

There may be a vertical asymptote along the vertical line if a portion of the graph is about to turn vertical. At the point of x along which you discovered the vertical asymptote, the function's value changes to either ∞ or -∞. A vertical asymptote, however, must never touch the graph.

Graph the function [tex]g(x)=4log_{2} (x-2)+5[/tex]

(x,y)= (3,5), (4,9), (6,13)

From graph we can see that the graph is turning to be vertical from x=2. So, the equation of vertical asymptote of the function is x=2.

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The complete question is:

“What is the equation of the vertical asymptote of [tex]g(x)=4log_{2} (x-2)+5[/tex]? enter your answer in the box.”

Answer:

[tex]y=x-1[/tex]

Step-by-step explanation:

The line of symmetry of an isosceles triangle is perpendicular to its base.

Given vertices of the isosceles triangle:

By sketching the triangle with the given points, we can see that AB is its base.  (See attached graph).

To find the equation for the line of symmetry, first find the slope of the line AB.  To do this, use the coordinates of points A and B and the slope formula.

Define the points:

[tex]\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{6-2}{3-7}=-1[/tex]

As the line of symmetry is perpendicular to line AB, its slope is the negative reciprocal of the slope of line AB.

Therefore, the slope of the line of symmetry = 1.

The line of symmetry will pass through point C (4, 3).

Therefore, substitute the found slope and the coordinates of point C into the point-slope formula:

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y-3=1(x-4)[/tex]

[tex]\implies y-3=x-4[/tex]

[tex]\implies y=x-1[/tex]

Therefore, the equation of the given isosceles triangle's axis of symmetry is:

[tex]y = x - 1[/tex]

If we graph the points

then we will get AC=CB

That means C is the point from where the axis of symmetry passes

Foot of perpendicular is midpoint of AB

Midpoint of AB

Find equation of C and foot of perpendicular

Slope

Equation

Answer: [tex]\huge\boxed{\boxed{15}}[/tex]

Step-by-step explanation:

Given expression

[tex]\large\boxed{\frac{12[30 - (9+4^2)]}{|10|-|-6| } }[/tex]

Simplify the exponents

[tex]\large\boxed{=\frac{12[30 - (9+16)]}{|10|-|-6| } }[/tex]

Simplify values in the parenthesis

[tex]\large\boxed{=\frac{12[30 - 25]}{|10|-|-6| } }[/tex]

[tex]\large\boxed{=\frac{12[5]}{|10|-|-6| } }[/tex]

Simplify absolute values (all positive)

[tex]\large\boxed{=\frac{12[5]}{10-6 } }[/tex]

[tex]\large\boxed{=\frac{12[5]}{4 } }[/tex]

Simplify by division

[tex]\large\boxed{=3~[5]}[/tex]

Simplify by multiplication

[tex]\huge\boxed{\boxed{=15}}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Question The price of a sofa is Sx. A man buys the sofa on hire purchase according to the following terms:

a downpayment of 25 % and the remaining to be paid in monthly instalments over 30 months at a

simple interest rate of 12 % per annum. Given that his monthly instalment is $52, find the value of x.

Answer:

1. Given

2. Triangle Interior Angle Sum Theorem

3. Substitution Property of Equality

4. Subtraction Property

5. Definition of Complementary Angles

The area of the shaded region in the given image is: 1,111.84 ft²

To find the area of the shaded region in the image given, find the areas of the unshaded region, then subtract it from the total area of the whole figure.

Area of the total figure = area of two semicircles + area of the rectangle.

Dimensions of the rectangle is given as, 18ft x 22ft.

Area of the rectangle = 18ft × 22ft = 396 ft²

The diameter of each of the semicircle = 7 + 7 + 18 = 32 ft

The radius of each of the semicircle = 1/2(32) = 16 ft

Area of the two semicircles = 2(1/2 × πr²) = 2(1/2 × 3.14 × 16²)

Area of the two semicircles = 803.84 ft²

Area of the rectangle = 32 × 22 = 704 ft²

The total area = 704 + 803.84

The total area = 1,507.84 ft²

The area of the shaded region = 1,507.84 - 396

The area of the shaded region = 1,111.84 ft²

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