What is the missing reason in the proof? (Reason 9)

The lateral surface area of the Pyramid will be 850547 square feet.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called as the area of the circle.

The lateral surface area will be calculated as:-

A = [tex]= l\sqrt{(\dfrac{w}{2})^2+h^2} + w\sqrt{(\dfrac{l}{2})^2+h^2}[/tex]

A = [tex]= 750\sqrt{(\dfrac{750}{2})^2+450^2} + 750\sqrt{(\dfrac{750}{2})^2+450^2}[/tex]

A = 750 √321525 + 750 √321525

A = 150 √√321525

A = 1500 x 567.031

A  = 850547 square feet

Therefore the lateral surface area of the Pyramid will be 850547 square feet.

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The value of the expression, g/2 + 3 when x = 8 is: 7.

Given the expression, g/2+3, to find it's value when g = 8, plug in the value of g into the expression and solve.

g/2 + 3

8/2 + 3

Divide

4 + 3

= 7

The value of the expression is: 7.

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Answer: The solution is x=7.  

Step-by-step explanation: Using the segment addition posyulate we can find the measure of the segment. given it is 4, 5, 8.

Explanation:

Building proportional relationships

[tex]\sf \dfrac{XA}{XY} = \dfrac{XB}{XZ}[/tex]

21.

[tex]\sf \rightarrow \dfrac{5}{XY} = \dfrac{10}{18}[/tex]

[tex]\sf \rightarrow XY = \dfrac{5(18)}{10}[/tex]

[tex]\sf \rightarrow XY = 9[/tex]

Then find AY

[tex]\sf AY = XY - XA[/tex]

[tex]\sf AY = 9 - 5[/tex]

[tex]\sf AY = 4[/tex]

[tex]\hrulefill[/tex]

22.

[tex]\rightarrow \sf \dfrac{10}{25} = \dfrac{XB}{XB + 3}[/tex]

[tex]\rightarrow \sf 10(XB + 3) = 25XB[/tex]

[tex]\rightarrow \sf 10XB + 30 = 25XB[/tex]

[tex]\rightarrow \sf 25XB-10XB = 30[/tex]

[tex]\rightarrow \sf 15XB = 30[/tex]

[tex]\rightarrow \sf XB = 2[/tex]

Then find XZ

[tex]\sf XZ = XB + BZ[/tex]

[tex]\sf XZ = 2 + 3[/tex]

[tex]\sf XZ = 5[/tex]

[tex]\hrulefill[/tex]

23.

[tex]\sf \rightarrow \dfrac{4}{13} = \dfrac{XB}{26}[/tex]

[tex]\sf \rightarrow \dfrac{26(4)}{13} = XB[/tex]

[tex]\sf \rightarrow XB = 8[/tex]

Answer: [tex]x=65^{\circ}, y=65^{\circ}, z=65^{\circ}[/tex]

Step-by-step explanation:

All radii of a circle are congruent, so by the base angles theorem

Also, angles x and y are inscribed in the same arc, and they are thus congruent, meaning x = 65.

The value of y from the equation is 12

A triangle is a shape that has three sides and angles

From the given diagram, the equation is true based on angle bisector theorem

8/4 = y/6

Cross multiply

4y =48

y = 12

Hence the value of y from the equation is 12

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Answer:

5-46i

Step-by-step explanation:

first multiply your (10-4i)(4-5i) so that would be 20-66i when simplified. then add that to -15+20i so it would look like 20-66i+(-15+20i). then simplify and you should get 5-46i.

The measure of <YAC from the figure is. 68 degrees

The given figure is made up of line and angles.

Since the line AC is tangential to the circle, hence <BAC = 90 degrees and;

<BAY + <YAC = 90degrees

Determine the measure of <BAY

<BAY = 1/2(arcBY)

<BAY = 1/2(44)

<BAY = 22degrees

From the expression above;

<YAC = 90 - 22

<YAC = 68 degrees

Hence the measure of <YAC from the figure is. 68 degrees

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First term f = 1

If first four terms are f, f + d, f + 2d, f + 3d

f + f + d + f + 2d + f + 3d = 100

4f + 6d = 100 (divided by 2 , both sides )

2f + 3d = 50

2 + 3d = 50

3d = 50 – 2

3d = 48

d = 48/3

d = 16

The arithmetic sequence is 1, 17, 33, 49, ………….

Answer:

[tex]\sf\large\blue{\underbrace{\red{itz \: jass*}}}:[/tex]

Step-by-step explanation:

[tex]\sf\large\green{\underbrace{\red{hlo \: \: sat \: shri \: akal \: ji \: \: \: *}}}:[/tex]

The values for y are i, 0, √3 and 2√2

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

Given:

F(x)= y = √(x-5) -1

At x=5,

y=  √(5-5) -1

y= i

At x= 6

y= √(6-5) -1

y=0

At x= 9

y= √(9-5) -1

y=√3

At x= 14

y= √(14-5) -1

y=√8= 2√2

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Answer:

x=5

Step-by-step explanation:

[tex]((x+3)/4)+(((2x-12)-1)/3)=1\\\frac{x+3}{4} +\frac{2x-12-1}{3} =1\\\frac{x+3}{4} +\frac{2x-13}{3} =1\\[/tex]

Now we have to cross multiply the denominator to progress further.

[tex]\frac{3(x+3)}{4*3} +\frac{4(2x-13)}{3*4} =1\\\frac{3x+9}{12} +\frac{8x-52}{12} =1\\\frac{3x+9+(8x-52)}{12} =1\\\frac{3x+9+8x-52}{12} =1\\\frac{11x-43}{12} =1\\11x-43=12\\11x=43+12\\11x=55\\x=\frac{55}{11} \\=5[/tex]

Based on the calculations, the equation for the curve of best fit is equal to y = -30.17x + 14.49.

From the table of data points, we have the following:

Mathematically, the standard equation of a straight line is given by:

y = ax + b       ....equation 1.

Thus, the equations that can be used to model the given data points are:

∑y = na + b∑x             ....equation 2.

∑xy = a∑x + b∑x²       ....equation 3.

Substituting the parameters into the equations, we have;

50.9 = 6a + 16b             ....equation 4.

24.6 = 16a + 35b       ....equation 5.

Solving eqn. 5 and 6 simultaneously, we have:

Substituting the value of a and b into eqn. 1, we have;

y = ax + b

y = -30.17x + 14.49.

Therefore, the equation for the curve of best fit is equal to y = -30.17x + 14.49.

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Answer:

nhddhdbndbd

Step-by-step explanation:

jh h benrheoek

The true statement about the function f(x) = -x² - 4x + 5 is that:

The domain of a function is the set of given values of input for which the function is valid and true.

The range is the dependent variable of a given set of values for which the function is defined.

For a parabola ax² + bx + c  with the vertex [tex]\mathbf{(x_v,y_v)}[/tex]

The vertex for an up-down facing parabola for a function y = ax² + bx + c is:

[tex]\mathbf{x_v = -\dfrac{b}{2a}}[/tex]

Thus,

Range: f(x) ≤ 9

Therefore, we can conclude that the range of the function is all real numbers less than or equal to 9.

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Answer:

The probability that more than 7 weeks pass between accidents is 4.0551 .

Step-by-step explanation:

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e. how likely they are to happen, using it.

The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of favorable outcomes and the total number of outcomes

A Poisson distribution is a probability distribution that is used to show how many times an event is likely to occur over a specified period.

mean = 5 weeks

rate = 1/5 = 0.2

x = average time

 P(x > 7) = e^(0.2×7) = 4.0551

The probability that more than 7 weeks pass between accidents is 4.0551 .

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By using the binary operator of addition, the result of summing f(x) = 4 · x² + 7 · x - 3 and g(x) = 6 · x³ - 7 · x² - 5 is equal to (f + g)(x) = 6 · x³ - 3 · x² + 7 · x - 8.

Binary operators is a operator that connects two functions. There are five binary operators between two functions: (i) Addition, (ii) Subtraction, (iii) Multiplication, (iv) Division, (v) Composition.

In this question we must apply the addition between two quadratic functions. In addition, we know by algebra that the sum of a quadratic function and a cubic function is equal to a cubic function. Hence, the resulting expression is:

(f + g)(x) = f(x) + g(x)

(f + g)(x) = (4 · x² + 7 · x - 3) + (6 · x³ - 7 · x² - 5)

(f + g)(x) = 6 · x³ - 3 · x² + 7 · x - 8

By using the binary operator of addition, the result of summing f(x) = 4 · x² + 7 · x - 3 and g(x) = 6 · x³ - 7 · x² - 5 is equal to (f + g)(x) = 6 · x³ - 3 · x² + 7 · x - 8.

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Its the first one

--------------------

Answer:

  $24 = $0.40(60)

Step-by-step explanation:

Match the input value and its location in the equation.

__

  $24 = $0.40(60)

_____

Additional comment

When input is liters and output is dollars, the constant of proportionality must have units of "dollars per liter." The dollar sign of these units is not shown in the left panel, but is shown on the answer choices. If you understand units conversion, this should not be a mystery. (The mystery is why the curriculum materials are inconsistent.)

Answer:

15 rounded to the nearest whole number is 15 since it’s already a whole number.-

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Solutions to a systems of equations are when the (x, y) of two equations are equal with both equations remaining true or in other words when both equations intersect. So by looking at the graph, both equations seem to be linear so there should only be 0, 1, or infinitely many solutions. Since they do have one intersection there is only 1.

Answer:

The system of equations only has 1 solution.

Explanation:

This can be seen by looking at the graph and seeing where the lines were to intersect. For example, if the lines were parallel and never intersected, then there would be 0 solutions. On the other hand, if the lines were essentially the same and overlapped at every point, then there would be infinitely many solutions.

The transformation of C(9, 3) when dilated by a scale factor of 3, using the origin as the centre of dilation is C'(27,9).

The given coordinate is C(9, 3) and a scale factor is 3.

Dilation means changing the size of an object without changing its shape. The size of the object may be increased or decreased based on the scale factor.

If any figure is dilated by a scale factor k with the centre of dilation as the origin.

Then the change pr transformation in each of the vertices of the figure is given by (x,y) ⇒ (kx, ky).

Here, k=3.

So, C(9,3) ⇒ C'(9×3,3×3)

= C(9,3) ⇒ C'(27,9)

Therefore, the transformation of C(9, 3) when dilated by a scale factor of 3, using the origin as the centre of dilation is C'(27,9).

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[tex](3^{2} )[/tex]^-2=(9)^-2=1/9^2=1/81

hope it helps!

Answer:

-2/3

Step-by-step explanation:

= 1/5 + (-2/3) = -7/15

(A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Rational number can be both positive and negative.)

Answer:

2u-1/3v = (4, -2)

Step-by-step explanation:

Given vector u and v,

v = (-6, -6)

u = (1, -2)

2*u = (2*1, -2*2) = (2, -4)

1/3*v = (1/3*-6, 1/3*-6) = (-2, -2)

So, 2u = (2, -4) and 1/3*v = (-2, -2)

We have 2u-1/3v = (2, -4) - (-2, -2) = (4, -2)

Therefore, 2u-1/3v = (4, -2)

Using sequences concepts, it is found that:

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

[tex]a(n) = a(0) + nd[/tex]

The sequence {(-3, 7.5) , (-2, 10) , (-1, 12.5)} continues with points (0, 15), (1, 17.5), and so on, hence the first term and the common ratio are given, respectively, by:

a(0) = 15, d = 2.5.

Hence the equation is:

a(n) = 15 + 2.5n.

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

[tex]a_n = a_1q^{n-1}[/tex]

For the sequence {(1, 150) , (2, 112.5) , (3, 84.375)}, the first term and the common ratio are given, respectively, by:

[tex]a_1 = 150, q = \frac{112.5}{150} = \frac{84.375}{112.5} = 0.75[/tex]

Hence the equation is given by:

[tex]a_n = 150(0.75)^{n-1}[/tex]

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The steps to find the inverse function are given in the development of the answer of this problem.

The inverse of a function y = f(x) is found exchanging x and y and isolating y.

In this problem, the function is:

[tex]f(x) = \sqrt{7x - 21}[/tex]

Then the steps to find the inverse function is given as follows:

[tex]y = \sqrt{7x - 21}[/tex]

[tex]x = \sqrt{7y - 21}[/tex]

[tex]x^2 = 7y - 21[/tex]

[tex]x^2 + 21 = 7y[/tex]

[tex]\frac{1}{7}x^2 + 3 = y[/tex]

[tex]\frac{1}{7}x^2 + 3 = f^{-1}(x)[/tex], where [tex]x \geq 0[/tex].

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[tex]\mathrm{Apply\:the\:laws\:of\:exponents}:\quad \dfrac{\sqrt{a}}{\sqrt{b}}=\sqrt{\dfrac{a}{b }},\:\quad \:a\ge 0,\:b\ge 0[/tex]

[tex]\dfrac{\sqrt{6}}{\sqrt{27}}=\sqrt{\dfrac{6}{27}}[/tex]

[tex]=\sqrt{\dfrac{6}{27}}[/tex]

[tex]\mathrm{ Cancel \ \ \dfrac{6}{27} \ \ \ ; \ \ \dfrac{2}{9} }[/tex]

[tex]=\sqrt{\dfrac{2}{9}}[/tex]

[tex]\mathrm{Apply\:the\:laws\:of\:exponents}:\quad \sqrt{\dfrac{a}{b}}=\dfrac{\sqrt{a}}{\sqrt{b }},\:\quad \:a\ge 0,\:b\ge 0[/tex]

[tex]=\sqrt{\dfrac{2}{9}}[/tex]

[tex]\sqrt{9}=3[/tex]

[tex]=\dfrac{\sqrt{2}}{3} \ \ === > \ \ \ Answer[/tex]

[tex]\red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}[/tex]

Answer:

I am not completely sure if this is correct, but I believe the answer should be PM.
This is because the order of the letters that represents a point can be swapped, since they are still forming the same line.

System A has 2 real solutions, System B has 0 real solutions and System C has 1 real solution.

Given a system of equations for A is x²+y²=17 and y=-(1÷2)x, a system of equations for B is y=x²-7x10 and y=-6x+5 and a system of equations for C is y=-2x²+9 and 8x-y=-17.

For system A,

The two systems of equations are

x²+y²=17            ......(1)

y=-1÷2x             ......(2)

Substitute the value of equation (2) into equation (1) as

x²+(-x÷2)²=17

x²+(x²÷4)=17

Simplify the above equation by taking L.C.M. as

(4x²+x²)÷4=17

5x²=68

x²=68÷5

x=±3.688

Find the value of y by substituting the value of x in equation (2).

When x=3.688 then y is

y=-(1÷2)×3.688

y=-1.844

And When x=-3.688 then y is

y=-(1÷2)×(-3.688)

y=1.844

Thus, the points where the equations of system A intersect each other is (3.688,-1.844) and (-3.688,1.844)

So, the system of equations of A has 2 real solutions.

For system B,

The two systems of equations are

y=x²-7x+10            ......(3)

y=-6x+5                ......(4)

Substitute the value of equation (4) into equation (3) as

-6x+5=x²-7x+10

x²-7x+10+6x-5=0

x²-x+5=0

Simplify the above quadratic equation using the discriminant rule,

x=(-b±√(b²-4ac))÷(2a)

Here, a=1, b=-1 and c=5

Substitute the values in the discriminant rule as

x=(1±√(1-4\times 5\times 1))÷2

x=(1±√(-19))÷2

x=(1±√(19)i)÷2

Here, the value of x goes into the complex.

So, the system of equations of B has 0 real solutions.

For system C,

The two systems of equations are

y=-2x²+9            ......(5)

8x-y=-17            ......(6)

Substitute the value of equation (6) into equation (5) as

8x-(-2x²+9)=-17

8x+2x²-9+17=0

2x²+8x+8=0

Simplify the above quadratic equation using factorization method as

2x²+4x+4x+8=0

2x(x+2)+4(x+2)=0

(2x+4)(x+2)=0

x=-2,-2

Find the value of y by substituting the value of x in equation (5).

When x=-2 then y is

y=-2(-2)²+9

y=-8+9

y=1

Thus, the point where the equations of system C intersect each other is (-2,1)

So, the system of equations of C has 1 real solutions.

Hence, the system of equations for A is x²+y²=17 and y=-(1÷2)x having 2 real solution, a system of equations for B is y=x²-7x10 and y=-6x+5 having 0 real solution and a system of equations for C is y=-2x²+9 and 8x-y=-17 having 1 real solution.

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