find the area of a sector with a central angle of 1/2 pi and a radius of 11.3

Answer:

• Point A

• Triangle ABC

• Triangle ADE

Explanation:

From the diagram

The center of dilation is point A.

We know this because the center of dilation is a fixed point in the plane about which all points are expanded or contracted.

Point A does not change in the two triangles.

The original triangle is triangle ABC.

We know this because it is the larger of the two triangles. A scale factor of 1/2 will reduce the size of the original image.

The dilation is triangle ADE.

Use a calculator to find the value of each trigonometric function evaluated at their corresponding angles, up to 3 decimal places:

The graph rises parabolically. The rise in the value is not perfectly parabolic, but the increase can be structured as parabolic.

The general equation of a parabola is given by a quadratic equation as-

y = ax² + bx + c. It has a degree of [2] and has two possible roots.

We have the following table -

Days after posting [x] →    1     2     3     4    5    6

Unique daily views [y] →   5    8   13   20  29  40

Refer to the graph attached. It can be seen that, the graph is a parabola. Although the rise in the value is not perfectly parabolic, but the increase can be structured as parabolic. Mathematically, the equation of the parabola can be written as -

y = ax²

The parabola is wide open {not close to y - axis}, this signifies that the value of [a] is in decimals. If we make a estimate, it would be almost [a] = 1/88 for the mentioned data.

Therefore, the graph rises parabolically. The rise in the value is not perfectly parabolic, but the increase can be structured as parabolic.

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⇒ x-4 is the term in this case there for the term (x-4) is squared meaning the term has to multiply itself twice.

[tex]=(x-4)(x-4)\\=x(x-4)-4(x-4)\\=x^{2} -4x-4x+16\\=x^{2} -8x+16[/tex]

If you are still struggling on how to multiply out DM ASAP.

Given data:

The principal is

The time is

The interest is

Concept:

The formula to calculate interest rate (R) is given below as

By substituting the values in the formula above, we will have

Hence,

The final answer is 5%

Step-by-step explanation:

3×5 = 15

so, the first number n×3 = 24, n = 8

an and then we have

8 : 5 : 6 : 7 = 24 : 15 : 18 : 21

x=-1, y =2 S { -1,2}

1) Solving that linear system

x + 2y = 3 x -5 To eliminate x

5× +5y = 5​

-5x -10y = -15

5x +5y = 5​

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

-5y = -10

y =2

1.2 Plugging into the I equation:

x +2(2)= 3

x +4=3

x=-1

In order to identify if the triangles are similar, you first take into account the rect angle of the triangles. Form there you can notice that side ON in the bigger triangle, is similar to the side as RQ in the little one.

So, you calulate the proportion between sides ON and RQ, just as follow:

Then, the proportion of those sides is 2. This proportion must be the same for the other similar sides of both traingles, in order to conclude that the triangle are similar.

Hence, the triangles are similar

step 1

equate the revenue and the cost

so'

2.2x=0.6x+2000

solve for x

2.2x-0.6x=2000

1.6x=2000

x=1,250

step 2

the company will make a profit when the revenue is greater than the cost

therefore

the value of x must be greater than 1,250

x> 1,250 tubes of toothpaste

Note: For x=1,250 ----> the revenue is equal to the cost (Profit 0)

Negative 34 means (-34)

times means to multiply, then

To do it without a calculator we will make -34

-30 + -4, then multiply -30 by 1567 and multiply -4 by 1567 then add the two answers

Then add the answers

The answer is -53278

Answer:

Step-by-step explanation:

-3 times 67 is is  minus 207 or -207

The intercepts of the line are( −7/6),( −[tex]\frac{7}{6}x+\frac{5}{2}[/tex]).

The term "intercept" refers to the location where a line or curve intersects an axis on a graph. An object's x-intercept is defined as where a point crosses the x-axis. The term "y-intercept" refers to a point that crosses the y-axis. The intersection of the x-axis and the y-axis is what is meant by a line's intercept.

Use the slope-intercept form y=mx+b to find the slope m.

7x-6y=-15

m=−7/6.

Use the slope-intercept form y=mx+b to find the slope m.

−7x−6y=−15

m = −[tex]\frac{7}{6}x+\frac{5}{2}[/tex]

The term "intercept" refers to the location where a line or curve intersects an axis on a graph.

The intercepts of the lineare( −7/6),( −[tex]\frac{7}{6}x+\frac{5}{2}[/tex]).

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Answer: PQ = 18.8

The right angle triangles are similar

ON = QR

MN = PQ

Step 1: Establish the similarity theorem

the larger the denominator compared to the numerator, the smaller the number, so:

So, let's choose the smallest number as a numerator, and the biggest numbers as a denominator:

The vertex form of a parabola is represented by the equation y = -6 (x-0)² -36 -0.

What is a vertex form?

And this equation gives you the vertex of a parabola. h is removed from and k is inserted in the vertex form equation. We can calculate h and k from the equation. The value of h is -b/2a. It is an alternate way of writing out the vertex form. In vertex form, we use the process of completing a square. A quadratic function can also be easily solved algebraically in the vertex form (if it has a solution). Completing the square, also known as converting a quadratic function from standard form to vertex form, is the first step in solving an equation.

The given equation is y = -6x² -36

So, a= -6, b = 0, c = -36

The general formula for the vertex form is given by

y = a[x - (-b/2a))² + c - b²/4a

y = -6((x - (-0/2(-6)))² + -36 - 0²/4(-6)

y = -6 (x-0)² -36 -0

Therefore, the vertex form is y = -6 (x-0)² -36 -0.

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The required measure of side y = 8

Given : Triangle TUV and triangle XWV are similar

Thus [tex]\frac{UV}{VW} = \frac{6}{21}[/tex]

this is further equal to [tex]\frac{2}{7}[/tex]

Thus the ratio UV : VW = 2 : 7

this implies that the ratio TV : VX should also be equal to the ratio of UV : VW = 2 : 7 because of cpst or also called corresponding parts of similar triangles.

Given  UV : VW = 2 : 7

thus TV : VX = [tex]\frac{y}{28 }[/tex] which on equation will give y as 8

because [tex]\frac{8}{28}[/tex] when divided by 4 will give us the required ratio that is 2 : 7

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If there are 150 students then the number of students that have brown eyes is  100 students .

In the question ,

it is given that ,

that 4 students out of every 6 student have brown eyes ,

So , the percent of boys that have brown eyes = (4/6) × 100

= 66.66%

So , 66.66% of the students have brown eyes .

So , in 150 students ,

the number of students that have brown eyes = 66.66% of 150

= (4/6) × 150

= 4 × 25

= 100

So , 100 students have brown eyes .

Therefore , If there are 150 students then the number of students that have brown eyes is  100 students .

The given question is incomplete , the complete question is

4 out of every 6 student have brown eyes if there are 150 student . what is the number of student who have brown eye ?

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To answer this question, we need to have into account the following:

1. In the context of interval notation, the word "or" can be represented by the symbol "U".

2. We need to rearrange the inequality -x > 6 in a way that we have positive x.

We can proceed as follows:

We can express the inequality in this way because it expresses all of the values greater than 2, and these values tend to the positive infinity. We have parenthesis here since the values are not equal to 2 (only greater than 2).

If we multiply both sides of the inequality by -1, we need to reverse the direction of the inequality as follows:

Now, we have all of the values less than -6, not equal, and because of this, we have to use parenthesis:

Therefore, we can say that:

Can be expressed in interval notation as:

In summary, the answer to this question is:

The correct option is; Yes, all the three expressions are equivalent to each other.

For the given question;

The three expressions are given as;

a: 20(1.1ˣ)   ...1

b: 20(1.1⁻¹)⁻¹ˣ

Simplifying as;

= 20(1.1⁻¹⁽⁻¹ˣ⁾)

= 20(1.1ˣ) ....2

c: 20(1.1¹/⁵)⁵ˣ

Simplifying.

= 20(1.1¹/⁵⁽⁵ˣ⁾)

= 20(1.1ˣ) ....3

So, a = b = c

Thus, all three expressions are equivalent to each other.

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The point of maxima of any function can be known by equating its derivative to zero. The rocket will take 1.5 sec to reach the maximum height and the maximum height is 27 feet.

The differentiation of a function is defined as rate of change of its value at a point. It can be written as g'(x) = (g(x + h) - g(x)) /(x + h - x).

Its geometric aspect is the slope of the function at a given point.

Given that,

Initial height of the launching pad is 4 feet,

Initial velocity of rocket is 48 feet/sec,

Height of the rocket as a function of time, h(t) = -16t² + 48t + 3

In order to find the time for maximum height equate h'(t) = 0 as follows,

-32t + 48 = 0

⇒ t = 48 / 32

⇒ t = 3 / 2

⇒ t = 1.5

To find the maximum height find h(t) for t = 1.5 as follows,

h(1.5) = -16 × 1.5² + 48 × 1.5 + 3

= -36 + 60 + 3

= -36 + 63

= 27

Hence, the time taken by the rocket to reach the maximum height is 1.5 sec and the maximum height reached is 27 feet.

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In first question, the value of Angle 1 is 42 and the value of Angle 2 is 48.

In second question, the value of Angle 1 is 11, Angle 2 is 159, Angle 3 is 11, Angle 4 is 165.

In the given question, have two question.

Firstly solving the question 1.

1) In question 1 we have to find the measure of Angle 1 and Angle 2.

There is figure. In this figure we can see that it is a right angle.

The right angle is of 90 degree.

So x+x+6=90

Simplifying the expression

2x+6=90

Subtract 6 on both side

2x+6-6=90-6

2x=84

Divide by 2 on both side

2/2x=84/2

x=42

The value of x is 42.

Now The value of Angle 1 is 42.

Now finding the Angle 2.

Angle 2 is x+6 and x=42

So

=42+6

=48

Hence, the value of Angle 2 is 48.

2) In this question we have to find the value of Angle 1,2,3 and 4.

To solve this question we using the straight line angle.

As we know that the angle of straight angle is 180.

So from the figure we can see that

∠2+∠3=180

As we know that ∠3=2x+3

So ∠2+2x+3= 180

Subtract 3 on both side

∠2+2x+13−13=180−13

∠2+2x=167................Equation 1

As we can also know from the figure that

∠1+∠4=180

And ∠1=x+7

x+7+∠4=180

Subtract 7 on both side

x+7+∠4−7=180−7

∠4+x=173.......................Equation 2

From the corresponding angle theorem we know

∠1=∠3

2x+3=x+7

Subtract 3 on both side

2x+3−3=x+7−3

2x=x+4

Subtract x on both side

2x−x=x+4−x

x=4

Now putting the value of x in Equation 1

∠2+2x=167

∠2+2×4=167

∠2+8=167

Subtract 8 on both side

∠2+8−8=167−8

∠2=159

Now putting the value of x in Equation 2

∠4+x=173

∠4+4=173

∠4+4=173

Subtract 4 on both side

∠4+4−4=173−8

∠4=165

∠3=2x+3

∠3=2×4+3

∠3=8+3

∠3=11

∠1=x+7

∠1=4+7

∠1=11

Hence, the value of Angle 1 is 11, Angle 2 is 159, Angle 3 is 11, Angle 4 is 165.

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6 cm, C. He did not square the length of the given leg

Explanation

to solve this we need to use the Pythagorean theorem

T.P states for all rigth triangles:

then

Step 1

let

a=2.3

b=b

c=6.4

replace

Step 2

What mistake might the student have made?

check

A)He added the two given values

B) He subtracted the two given values

C)He did not square the length of the given leg

D. He did not square the length of the hypotenuse​

so, the answer is C

I hope this helps you

We have the next information

Parabola that opens to the left

Vertex a the origin (0,0)

Focus (-4,0)

then we will have the next form for the equation of the parabola

where p is -4

therefore if we isolate the x we obtain

Answer:

Step-by-step explanation:

11: 180-133= 47 degrees

12: 72 degrees

13: 15x+5+(-1+7x)=180

     15x+5-1+7x=180

     22x+4=180

     22x=176

     X=8

14: 180-45= 135

14x-5=135

14x=140

x=10

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we have

-7-5+7=-5

because we have -7 and 7 we only left the other number as the result

The counting number are the integers that are used for counting like 1, 2, 3, 4, 5...

The number -2 is not a counting number therefore, the difference between 3 and 5, which are counting numbers is not a counting number. The answer is b.

For the given graph , piecewise function for the given graph is as follow:

f(x)  =  1  ,                if x < -2

        2x ,              if -2 < x ≤ 0

       (- x / 2) + 2     if x > 0

As given in the question,

Given is the graph of the function f( x )

Now to find the piecewise function for the given graph is as follow:

For   x < -2 it is given that f ( x) = 1

Now consider two points for  -2 < x ≤ 0

( x₁ , y₁ ) = ( 0 , 0 )

( x₂ , y₂ ) = ( -2 , -4 )

Equation of f(x) is given by :

( y - 0 )/ ( x -0 ) = ( -4 - 0)/ (-2 - 0 )

⇒ y = 2x

Now consider two points for  x > 0

( x₁ , y₁ ) = ( 0 , 2 )

( x₂ , y₂ ) = ( 2 , 1 )

Equation of f(x) is given by :

( y - 2 )/ ( x -0 ) = ( 1 - 2)/ ( 2 - 0 )

⇒ y - 2 = -x / 2

⇒ y = ( -x / 2 ) + 2

Therefore, for the given graph , piecewise function for the given graph is as follow:

f(x)  =  1  ,                if x < -2

         2x ,              if -2 < x ≤ 0

       (- x / 2) + 2      if x > 0

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Answer:

4.5

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

The Equivalent numbers are

5.812 × 10⁻⁷ and 0.0000005812

5.46 × 10¹¹ and 546,000,000,000

What is the meaning exponent of 10?

A power of 10 is the sum of all the tens that the exponent indicates. As a result, a power of 10 is represented in long form as the number 1 followed by n zeros, where n is the exponent and is bigger than 0; for instance, 10⁶ is represented as 1,000,000.

Given numbers are:

4.836 × 10⁶ and 4,836,000,000

5.812 ×  10⁻⁷ and 0.0000005812

5.46 × 10¹¹ and 546,000,000,000

The equivalent form of 4.836 × 10⁶ is

4.836 × 1000000 = 4,836,000

The equivalent form of 5.812 ×  10⁻⁷  is

5.812 ×  10⁻⁷  = 5.812/ 10000000 = 0.0000005812.

The equivalent form of 5.46 × 10¹¹ is

5.46 × 10¹¹  = 5.46 × 100000000000 = 546,000,000,000

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Answer:

Step-by-step explanation:lol