Just the value of h and c and just explaining how you got it only h and c the rest don't matter but quick please

The name of the highlighted arc in circle is [tex]\stackrel{\frown}{WVT}[/tex],[tex]\stackrel{\frown}{WQT}[/tex] and [tex]\stackrel{\frown}{WT}[/tex]

Given that,

In the picture we have circle.

We have to write the name of the highlighted arc in circle.

A circle's arc is referred to as a portion or segment of its circumference. A chord of a circle is a straight line that could be created by joining the arc's two ends.

We know that,

We can write in 3 ways.

Name of the highlighted arc is [tex]\stackrel{\frown}{WVT}[/tex],[tex]\stackrel{\frown}{WQT}[/tex] and [tex]\stackrel{\frown}{WT}[/tex]

Therefore, The name of the highlighted arc in circle is [tex]\stackrel{\frown}{WVT}[/tex],[tex]\stackrel{\frown}{WQT}[/tex] and [tex]\stackrel{\frown}{WT}[/tex]

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The required measure of segment DF is 11.67 and segment KF is 9.

In congruent geometry, the shapes that are so identical. can be superimposed to themselves.

here,
According to the given conditions,
DE / KL = DF/FL = EF/KF
Substitute values in the above equation,
20/12 = DF/7 = 15/KF
Now,
DF / 7 = 20/12
DF = 11.67
Again
20/12 = 15/KF
KF = 9

Thus, the required measure of segment DF is 11.67, and segment KF is 9.

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Product of the given expression -2.8 (-1.7) is equal to 4.76.

As given in the question,

Given expression is equal to :

-2.8 (-1.7)

There are two numbers -2.8 and -1.7.

Both the numbers are negative.

Multiply negative to a negative number is positive number.

Result of -2.8 and -1.7 is positive number.

Required product of the given expression is equal to :

-2.8 (-1.7)

= (-1) × (2.8) × (-1) × (1.7)

Multiply (-1) to (-1) is equal to positive (1) :

= 2.8 × 1.7

= 4.76

Therefore, product of the given expression -2.8 (-1.7) is equal to 4.76.

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For washing 2.7 loads capacity of clothes, 8.64 liters would be used.

What is capacity?

Capacity refers to the amount of laundry a washing machine can wash in one load. Capacity is always measured in the weight of the dry laundry.

Given, for 1 load of clothes      = 3.2 liters of water used.

           for 2.7 loads of clothes = 2.7*3.2 liters of water used.

                                                   = 8.64 liters of water used.

Hence, for 2.7 loads of clothes, 8.64 liters would be used.

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The answer is the last one D.

Answer: the answer is (D) eighteen and two hundred one thousandths

Step-by-step explanation:

The equation of the parabola passing through the points ​(​5,-11),(6,-12),(7,-11) is  y = x² - 12x - 24

Parabola:

Parabola refers  an equation of a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line. And the fixed point is called the focus of the parabola, and the fixed line is called the directrix of the parabola.

Given,

Here we have the following points:

​(​5,-11),(6,-12),(7,-11)

Now, we need to find the equation of the parabola.

We know that the standard form of the equation of parabola is

y = ax² + bx + c

Here we have to apply each point in order to get the equations,

First we have to take the point (5, -11), then we get the equation,

-11 = 25a + 5b + c ---------------------(1)

Then we have to take the point (6, -12), then we get the equation as,

-12 = 36a + 6b + c ------------------(2)

Finally, we have to take the point (7, -11), then we get

-11 = 49a + 7b + c ------------------------(3)

Now, we have to subtraction, equation (2) from equation (1), then we get,

-12 -(-11) = (36 - 25)a + (6 - 5)b + (c -c)

-1 = 11a + b ---------(4)

Similarly, we have to subtraction equation (3) from equation (2), then we get,

-11 - (-12) = (49 - 36)a + (7 - 6)b + (c-c)

1 = 13a + b -------------------(5)

Now, we have to subtract equation (5) from (4),

1 - (-1) = (13 -11) +(b - b)

2 = 2a

a = 1

If the value of a = 1, then the value of b is,

1 = 13 (1) + b

b = -12

So, the value of c is,

-11 = 25 (1) + 5(-12) + c

-11 = 25 - 60 + c

-11 = -35 + c

c = 24

Therefore, the equation of the parabola is y = x² - 12x - 24

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Answer:

x=7,-4

Step-by-step explanation:

To see your eyes reflected in the mirror, the mirror needs to be tilted at an angle of 33.02°.

Given,

You look down at a little vertical mirror hanging on the wall as you are standing 1.55 meters in front of it. You may see your shoes reflected in this mirror. How far should the mirror be slanted for you to see your eyes mirrored if your eyes are 1.95 meters above your feet? (The mirror is still in the same place, but its angle to the vertical has changed.)

Now, by assuming we have,

The height at which the eyes are above the feet y = 1.95

The distance between the person and wall x = 1.55

From a triangle,

tan∅ = (y/2) / x

tan∅ = (1.95/2) / 1.55

∅ = 33.02°

Hence, the mirror should be tilted for you to see your eyes reflected in the mirror by an angle of 33.02°.

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Area = 19.63cm²

A=πr2=π·2.52≈19.63495cm²

The values of each trigonometric ratio are:

Trigonometry is a branch of mathematics. Ratios of sides in a right-angled triangle are known as Trigonometric ratios. There are six trigonometric ratios- sine(sin), cosine(cos), tangent(tan), cotangent(cot), secant(sec), cosecant(cosec).

Let θ be the angle of the right-angled triangle then,

As per the given problems,

               ⇒   cos C = [tex]16/34[/tex]   (∵ cos θ = adjacent side/hypotenuse)

                                =  [tex]8/17[/tex]

    2. Problem (4)    

               ⇒    sin C = [tex]40/41[/tex]    (∵ sin θ = opposite side/hypotenuse)

    3. Problem (5)

               ⇒    tan Z = [tex]21/28[/tex]    (∵ tan θ = opposite side/hypotenuse)

                                = [tex]3/4[/tex]

Therefore, cos C = 8/17, sin C = 40/41, tan Z = 3/4.

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The value of each trigonometric ratio are cos c 8/17, sin c 40/41, tan z 3/4Trigonometry is a branch of mathematics. Ratios of sides in a right-angled triangle are known as Trigonometric ratios.

Trigonometry is a branch of mathematics. Ratios of sides in a right-angled triangle are known as Trigonometric ratios. There are six trigonometric ratios- sine(sin), cosine(cos), tangent(tan), cotangent(cot), secant(sec), cosecant(cosec).

The values of each trigonometric ratio are:

cos C = 8/17

sin C = 40/41

tan Z = 3/4

Let θ be the angle of the right-angled triangle then,

sin θ = opposite side/hypotenuse   or   1/cos θ

cos θ = adjacent side/hypotenuse  or    1/sin θ

tan θ = opposite side/hypotenuse   or    sin θ/cos θ

As per the given problems,

Problem (3)

              ⇒   cos C =    (∵ cos θ = adjacent side/hypotenuse)

 2. Problem (4)    

              ⇒    sin C =     (∵ sin θ = opposite side/hypotenuse)

     3. Problem (5)

             ⇒    tan Z =     (∵ tan θ = opposite side/hypotenuse)

               Therefore, cos C = 8/17, sin C = 40/41, tan Z = 3/4.

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The length of the guy wire, to the nearest foot is 64.140 feet.

Given:

Lavaughn places a 5-foot tall pole to support the guy wire. After placing the pole, Lavaughn measures the distance from the stake to the pole to be 3 ft.

He then measures the distance from the pole to the tower to be 30 ft.

Let Triangle ABC and CDE.

CD = 5 foot

DE = 3 feet

BD = 30 feet

Length of guy wire AE = x

AB/CD = BE/DE

AB/5 = 33/3

AB = 11*5

AB = 55

According to pythagorean theorem:

AE = [tex]\sqrt{AB^{2}+BE^{2} }[/tex]

= [tex]\sqrt{55 ^{2} +33^{2}[/tex]

= [tex]\sqrt{3025+1089}[/tex]

= [tex]\sqrt{4114}[/tex]

= 64.140 feet

Therefore the length of the guy wire to the nearest foot is 64.140 feet.

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The complete factorization of 2x² + 9x +4 is (2x+4)(x+1).

What is factorization?

Factorisation of an algebraic expression means writing the given expression as a product of its factors. These factors can be numbers, variables, or an algebraic expression.

Given,

the quadratic equation 2x² + 9x +4

Now, we will factorize this equation

=2x² + 9x +4

=2x² + 8x+x +4

=2x(x+4) + 1(x+4)

=(2x+1)(x+4)

Hence, The factors of 2x² + 9x +4 is (2x+4)(x+1)

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Answer:

1.5

Step-by-step explanation:

The decimal form of the fractions are:

0.26

1.05

0.68

0.13

1.73

In Algebra, decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point. The dot present between the whole number and fractions part is called the decimal point. For example, 34.5 is a decimal number.

On the other hand, a fraction is a number expressed as a quotient, in which the numerator is divided by the denominator.

The decimal form for each fraction is:

=> 1.3/5 = 0.26

=> 2.1/2 = 1.05

=> 3.4/5= 0.68

=> 4.3/33 = 0.13

=> 5.2/3 = 1.73

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The perimeter of rectangle WXYZ is 18.

What is perimeter?

The complete length of a shape's edge serves as its perimeter in geometric terms. Adding the lengths of all the sides and edges that surround a form yields its perimeter. It is calculated using linear length units such centimeters, meters, inches, and feet.

vertices: W(-1,4), X(-1,1), Y(5,1),Z(5,4)

We need length and width.

If WX is the length, then WZ can be width

We know the distance formula between the coordinates (x,y) and (m,n) as:

√(m-x)²+(n-y)²

WX=√(-1-(-1))²+(1-4)² = √(0²+9)=3

WZ=√(5-(-1))²+(4-4)² = √(6²+0)=6

Now, perimeter of rectangle WXYZ=2(WX+WZ)=2(3+6)=18

Hence, the perimeter of rectangle WXYZ is 18.

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An arc with 3 units length and 4 units radius has the central angle of 0.75 radians.

The length of an arc is proportional to its central angle.

Let:

l = length of an arc

a = magnitude of the arc's central angle

r  = radius of the corresponding circle

Then, the following holds:

a/2π = l / C

Where C = circumference of the circle = 2 πr

Hence,

a/2π = l / 2 πr

a = l/r  (equation 1)

Parameters given in the problem:

l = 3 units

r = 4 units

Plugs these parameters into equation 1

a = 3/4 = 0.75 radians.

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Step-by-step explanation:

y - 4x = 5 ........(1)

1/2y = 1/6x - 4 .......(2)

y = 5 + 4x .......(3)

Substitute Eqn (3) in (1)

1/2 ( 5 + 4x) = 1/6x - 4

5/2 + 4x/2 = 1/6x - 4

5/2 + 2x = 1/6x - 4

Multiply through by 6

15 + 12x = x - 24

Collect like terms.

12x - x = -24 - 15

11x = - 39

x = -39/11

Substitute x into Eqn (1)

y - 4(-39/11) = 5

y + 156/11 = 5

y = 5 - 156/11

y = 55 - 156

----------

11

y = -101/11

.: x = -39/11 and y = -101/11

The correct equation of the given line of the inequality is  [tex](\frac{1}{5})y+(\frac{9}{5})z=1[/tex], with the boundary line y = -9z+5.

A relationship between two expressions or values that are not equal to each other.

y=m x +c

m = slope of the line

c = the intercept

Since graph is given ,therefore the boundary line y=-9z+5 is represented by

⇒[tex]y+9z=5[/tex]

⇒[tex]0x+y+9z=5[/tex]

⇒[tex](\frac{0}{5})[/tex][tex]x+(\frac{1}{5})y+(\frac{9}{5})z = 1[/tex]

Thus x intercept is [tex]0[/tex],

        y intercept is [tex](\frac{1}{5})[/tex]

        z intercept is [tex](\frac{9}{5} )[/tex]

Hence , the correct equation of the given line of the inequality is :

⇒[tex](\frac{1}{5})y+(\frac{9}{5})z=1[/tex]

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Answer:

b i think srry if not right <33

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

To find the nth term of a sequence :

We find the jump between each terms :

21 to 17 is -4

17 to 13 is -4

13 to 9 is -4

There -4 will go before the n

Then we find the 0th term :

Opposite of -4 is +4

21 + 4 = 25

Our final answer is -4n + 25

Option A

Hope this helped and have a good day

The hypotenuse of the triangle is 30

What is a right angled triangle ?

A right triangle is a triangle with one angle at a right angle, meaning that two of its sides are perpendicular. It is also known as a right-angled triangle, an orthogonal triangle, or more commonly as a rectangled triangle. Trigonometry's foundation is the right triangle's relationship between its sides and other angles.

The Pythagorean Theorem is

(adjacent side)² + (opposite side)² = (hypotenuse)²

Let x be the hypotenuse

adjacent side = 24

opposite side = 18

∴ The equation becomes

24² + 18² = x²

576 + 324 = x²

900 = x²

x = √900

x = 30

∴The value of hypotenuse is 30

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For a two-tailed test, the p-value is the probability of obtaining a value for the test statistic as

Probability is the study of the chances of occurrence of a result, which are obtained by the ratio between favorable cases and possible cases.

The first point is the p-value is the probability of obtaining a value for the test statistic at least as extreme as that provided by the sample

Second point is here

Confidence level = 0.95

So level of significance = 0.05

and the p-value = 0.09

Since the p-value is higher than the level of significance we do not reject the null hypothesis.

Hence the answer should not be rejected

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Answer:

y'(-1*2 )= -4

Step-by-step explanation:

y'=2x

y'(-1*2) = 2 ⋅ (-2)

-4

y'(-1*2) = -4

Answer:

  (a) slope: -4

  (b) tangent: y -4 = -4(x +2)

  (c) normal: y -4 = 1/4(x +2)

  (d) graph: see attached

Step-by-step explanation:

You want the slope of the curve, and equations for the tangent and normal lines at x = -2 when y = x².

The slope of the curve is given by the derivative.

  y' = 2x

At x = -2, the slope is

  y' = 2(-2) = -4

The slope of the curve at x=-2 is -4.

The value of y at x=-2 is ...

   y = (-2)² = 4

The point-slope equation of the line with slope -4 through point (-2, 4) is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -4 = -4(x +2) . . . . . . line with slope -4 through point (-2, 4)

The normal has the opposite reciprocal slope at the point of tangency.

  y -4 = 1/4(x +2) . . . . . . . line with slope 1/4 through point (-2, 4)

See the attachment for a graph.

After the 4 week the change in price is given by = 0.25.

acc to our question-

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[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{25\% of 4400}}{\left( \cfrac{25}{100} \right)4400}\implies 1100~\hfill \underset{take-home~pay}{\stackrel{4400~~ - ~~1100}{\text{\LARGE 3300}}}[/tex]

Answer:

The monomers are reacted to make prepolymers or a liquid, primitive macromolecule.

In the next step, the prepolymers are fed through a cell where it solidifies and attains the desired thickness. This process is called spinning.

The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations.

Linear equations are equations of the first order. The linear equations are defined for lines in the coordinate system. When the equation has a homogeneous variable of degree 1 (i.e. only one variable), then it is known as a linear equation in one variable.

The intersection or meeting points of the lines or planes used to illustrate the linear equations are known as the solutions. The set of values for each variable in a system of linear equations is referred to as the solution set. For instance, while resolving linear equations, one can construct two linear graphs and locate the point at which they cross to see how the system of simultaneous linear equations is resolved.

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The sample  should consist of  180 students at least in order for the dean take to ensure this is true.

since we are provided a standard deviation of 2.6 hours, we need to find the sample size at most of 0.5 hours. Since we know

E = z∗ σ/√n, where z is the score,σ is the standard deviation and n is the sample size. According to this case, z∗ will be 2.576 since the dean wants 99% confidence.  so the sample size will be

n=(z∗σ /E)^2

   = (2.57* 2.6/0.5)^2

  =  179.43 =  180

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Answer:

Step-by-step explanation:

4x + 4y =-28

6x - 4y = -2               4y is the same in both equations so we add them

=> 10x= -30

x=-30/10

x=-3

sub x into any equation

4(-3) +4y =-28

-12 +4y = -28

4y = -28 + 12

4y = -16

y= -16/4

y= -4

check

4(-3) + 4 (-4) = -28                            therefore, x=-3  and y=-4

-12 -16 = -28

-28 = -28