Will mark 5 stars and Thank

Therefore, The Coordinates of the THIRD VERTEX is:  ( 5, -3 )

        Calculate the midpoint of the given vertices:

        MidPoint = ( -5 + 5/2,  3 + 3/2 )

        MidPoint = ( 0, 3 )

        Distance = √( -5 -5 )^2 + ( 3 - 3 )^2

        Distance = √( -10 )^2  +  (0)^2

        Distance = √100

        Distance =  10

        Side Length =  10/√3

        Side Length = 10/1.7

        Side Length = 5.88

        Height = √3/2  *  Side Length

        Height  = 1.7/2  *  5.88

        Height  =  5

Since the origin lies inside the triangle, The Third Vertex will have a Positive  X-Coordinate and a Negative Y-Coordinate.

       ( x, y )

        x  =  -5 + x/2

        y   =  3 + y/2

       x  =  5

       y  = -3

        Hence, The Coordinate  of the Third Vertex is:  ( 5, -3 )

I hope this helps!

Answer:

Using the properties of parallel lines and transversals, we can find the measures of the missing angles:

m/1 = m/2 (alternate interior angles)

m/1 = m/5 + m/4 (interior angles on the same side of transversal c)

m/8 = m/5 (corresponding angles)

m/8 = m/7 + m/6 (interior angles on the same side of transversal d)

We can use these equations to solve for the missing angles:

m/4 = m/1 - m/5 = 123° - 10° = 113°

m/10 = m/1 - m/8 = 123° - 110° = 13°

m/16 = m/8 + m/7 + m/6 = 110° + m/7 + m/6

m/5 = m/8 = 110°

m/11 = m/1 - m/10 - m/5 = 123° - 13° - 110° = 0°

Note that m/11 is 0°, which means that line b and transversal c are parallel, and there is no intersection between them.

Here's the solution,

The given triangle is a right angled triangle,

So, by Using Trigonometry :

=》

\( \sin(30) = \dfrac{x}{13} \)

=》

\( \dfrac{1}{2} = \dfrac{x}{13} \)

=》

\(x = \dfrac{13}{2} \)

=》

\(x = 6.5\)

hence, value of x = 6.5 units

Answer:

0.01041666666

Step-by-step explanation:

Applying the product rule and the chain rule will allow us to determine the derivative of the given function, "y = 6x2(1 - 5x)".

Let's first give the two elements their formal names: (u = 6x2) and (v = 1 - 5x).

The derivative of (y) with respect to (x) is obtained by (y' = u'v + uv') using the product rule.

Both the derivatives of (u) and (v) with respect to (x) are (u' = 12x) and (v' = -5), respectively.

When these values are substituted, we get:

\(y' = (12x)(1 - 5x) + (6x^2)(-5)\)

Simplifying even more

\(y' = 12x - 60x^2 - 30x^2\)

combining comparable phrases

\(y' = 12x - 90x^2\)

As a result, y' = 12x - 90x2 is the derivative of the function (y = 6x2(1 - 5x)) with respect to (x).

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Answer:

80 students.

Step-by-step explanation:

Since there were 50 students, and 20 students wanted the chocolate icecream, that makes a proportion of 2/5. Then, there are 200 students in this whole seventh grade, and imagine that they have the same proportion of the 50 students. So, you should do 2/5 × 200, and the answer is 80.

I hope this helps you! ;)

Answer:

A transparent solid body, often having triangular bases,used for dispering light into a spectrum or for reflecting rays of light is prism.

A three dimensional figure with at least two parallel, congruent faces is called cylinder.

Answer:

60

Step-by-step explanation:

The total sum should be 180 degrees.

So 3x = 180. x = 60

Answer:

60 not shure tho hsbsvsbs

Answer:

i dont understand it

Step-by-step explanation:

Answer: Greater than 10.

The weakest base is C5H5N (pyridine) with Kb = 1.7 × 10^(-9). The correct answer is C.

The strength of a base is determined by its ability to accept or donate a pair of electrons. In general, a stronger base has a higher tendency to accept or donate electrons compared to a weaker base.

In the given options, the bases are characterized by their Kb values. Kb (base dissociation constant) represents the equilibrium constant for the reaction of a base with water to form the corresponding conjugate acid and hydroxide ions.

Comparing the Kb values provided:

A smaller Kb value indicates a weaker base because it corresponds to a lower concentration of hydroxide ions in solution. Therefore, in this case, C5H5N (pyridine) with a Kb value of 1.7 × 10^(-9) is the weakest base among the given options. The correct answer is C.

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The probability that somebody chose not chow mein as their favorite food in simplest form is 7/8.

The probability of an event is  described as a number that indicates how likely the event is to occur which is expressed as a number in the range from 0 and 1, or, using percentage notation, in the range from 0% to 100%.

From the total responses see, the number of people who did not choose chow mein as their favorite food is found below:

19 + 8 + 4 + 3 + 1 = 35.

Therefore, Probability (not chow mein) = 35 / (19 + 8 + 5 + 4 + 3 + 1) = 35 / 40 = 7/8

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________________________________

Hey!!

Solution,

(x-2)(X+5)=0

Either,

x-2=0

X=0+2

X=2

or,

X+5=0

X=0-5

X=-5

Hope it helps

Good luck on your assignment

____________________________

The probability that it appears five times exactly is 0.3472, or 34.72%.

Binomial distribution of probabilities;

P(X = x)  = C(n,x).pˣ.(1 - p)ⁿ⁻ˣ

C(n,x) = n1/ x1(n - x)!

The variables are:

In this issue:

Three dices are made, hence n is equal to 3.

Since one of its six sides is a five, therefore, p = 1/6 = 0.1167.

P(X = 1) is the chance that the number five appears exactly once, so;

P(X = x)  = C(n,x).pˣ.(1 - p)ⁿ⁻ˣ

P(X = 1)  = C(3,1).0.1167¹.(0.8333)³

P(X = 1)  = 0.3472

Thus, the probability that it appears five times exactly is 0.3472, or 34.72%.

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Answer:

55%

Step-by-step explanation:

Because when your doing percentages out of 20 it is 5 for each

1/20=5%

2/20=10%

3/20=15%

4/20=20%

5/20=25%

6/20=30%

7/20=35%

8/20=40%

9/20=45%

10/20=50%

And 11 out of 20=55%

An equation to model the relationship between the number of weeks, x, and the number of site visits, f(x) is 4800 = a(1.5)^x.

He found that before launching the new marketing plan, there were 4,800 visits.

Over the course of the next 5 weeks, the number of site visits increased by a factor of 1.5 each week.

Over the course of the next 5 weeks, initial visitor at x = 0, 4800

Increasing factor = 1.5

Equation of the model is given as:

f(x) = a(b)^x

From the question b = 1.5

Now the equation of model is:

f(x) = a(1.5)^x

At x = 0, f(x) = 4800

Now the equation of the model is:

4800 = a(1.5)^x

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Answer: C. It illustrates the resistance of the median.

Answer:

12mm

Step-by-step explanation:

mm(milimeter) is smaller than cm(centimeter).  And meters (m) are bigger than centimeters.

Answer:

7. x + y = 8 x - y = 4

jope in help

Answer:

x=6 y=2

Step-by-step explanation:

6+2=8 and 6-2=4 so x has to be 6 and y has to be 2

Where is the table?

The coordinates of the midpoint of the segment whose endpoints are W (-3,-7) and X (-8,4) will be (-11/2, -3/2). Then the correct option is D.

The complete options are given below.

1. (-11/2) -(11/2)

2.(-5/2)-(3/2)

3.(-5/2-(11/2)

4. (-11/2) -(-3/2)

Let C be the mid-point of the line segment AB.

A = (x₁, y₁)

B = (x₂, y₂)

C = (x, y)

Then the midpoint will be

x = (x₁ + x₂) / 2

y = (y₁ + y₂) / 2

The end points are given below.

(-3, -7) and (-8, 4)

We have

(x₁, y₁) = (-3, -7)

(x₂, y₂) = (-8, 4)

Then the mid-point will be

x = (- 3 - 8) / 2

x = -11 / 2

y = (-7 + 4) / 2

y = -3/2

Then the coordinates of the midpoint of the segment whose endpoints are W (-3,-7) and X (-8,4) will be (-11/2, -3/2).

Then the correct option is D.

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A graph of the linear function y = -2x/3 + 490 in slope-intercept form is shown in the image attached below.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

Next, we would rearrange and simplify the given given linear equation in slope-intercept form in order to enable us plot it on a graph:

2x + 3y = 1,470

3y = -2x + 1,470

y = -2x/3 + 1,470/3

y = -2x/3 + 490

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Given data:

The first side of the triangle is a=3 ft.

The second side of the triangle is b=54 ft.

For a triangle the sum of any two sides mus be greater than third side.

(3 ft+54 ft)>c

c<57 ft.

and

(3 ft+c)>54 ft

c>51 ft

Thus, the side of the triangle lie between 51

\(\huge\text{Hey there!}\)

\(\huge\textsf{13 - (-18)}\)

\(\huge\textsf{= 13 + 18}\)

\(\huge\textsf{= \bf 31}\)

\(\boxed{\boxed{\huge\text{Therefore, your answer is most likely: \textsf{31}}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\huge\text{Amphitrite1040:)}\)

Answer:

\( \displaystyle 31\)

Step-by-step explanation:

we want to simplify the following expression:

\( \displaystyle 13 - ( - 18)\)

remove parentheses and change its sign because we know that two negatives make positive Thus:

\( \displaystyle 13 + 18\)

finally simplify addition:

\( \displaystyle\bf \fbox{31}\)

hence,

\( \displaystyle 13 - ( - 18) = \boxed{31}\)

Step-by-step explanation:

bananas are to be cooled from 24 to 138c at a rate of 215 kg/h by a refrigeration system. the power input to the refrigerator is 1.4 kw. determine the rate of cooling, in kj/ min, and the cop of the refrigerator. the specific heat of banana above freezing is 3.35 kj/kg·8c.

Evaluate the required thickness of styrofoam for the freezer compartment in the previous problem when the inside wall is exposed to air at −10 c through a surface coefficient of 16 w/m2⋅k and the outer wall is exposed to 33 c air with a surface coefficient of 32 w/m2 ⋅ k. determine the surface temperatures for this situation

Step-by-step explanation:

Evaluate the required thickness of styrofoam for the freezer compartment in the previous problem when the inside wall is exposed to air at -10°C through a surface coefficient of 16 W/m2 · K and the outer wall is exposed to 33°C air with a surface coefficient of 32 W/m2 · K.

sorry

The equation in standard form of the line that represents the number of rooms left to clean, y, after x hours is:

-4x + 7y = 28

Let's start by finding the rate at which Martin is cleaning the rooms. We can do this by dividing the number of rooms left to clean by the number of hours it takes to clean them:

rate = (number of rooms left) / (time to clean them)

rate = 4 / 7

Now we can use the point-slope form of the equation of a line to find the equation that represents the number of rooms left to clean, y, after x hours:

y - y1 = m(x - x1)

where m is the slope of the line and (x1, y1) is a point on the line.

We know that the slope of the line is equal to the rate at which Martin is cleaning the rooms, so m = 4/7. We also know that when x = 0, there are 4 rooms left to clean, so (x1, y1) = (0, 4).

Now we can substitute these values into the point-slope form of the equation to get:

y - 4 = (4/7)(x - 0)

Simplifying this equation, we get:

7y - 28 = 4x

Finally, we can rearrange this equation into standard form by moving the x term to the left side:

-4x + 7y = 28

Therefore, the equation in standard form of the line that represents the number of rooms left to clean, y, after x hours is 4x - 7y = -28.

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Answer: 16 2/3%

Step-by-step explanation:

Given that:

Shape are either square or circle with both equally likely :

Hence,

P(square) = 1/2 ; P(circle) = 1/2

Color are either blue, red or green with the three equally likely ;

P(red) = 1/3 ; P(green) = 1/3 ; P(blue) = 1/3

Probability of creating a green circle :

Independent probability

P(green n circle) = p(green) * p(circle)

P(green n circle) = 1/3 * 1/2

P(green n circle) = 1/6

= 0.16666

(0.16666 * 100%) = 16.6666%

= 16 2/3%

27.80% is percentage of items .

What percentage means?

Mean = 7

standard deviation = 3 ounces

Required % = p (5.6<x < 7.1 ) × 100 = ?

z = x - μ/σ = 5.6 - 7/2

 z = 7.1 - 7/2 = 0.05

∴ P(5.6 < x < 7.1 ) = p ( - 0.7 < z < 0.05 )

   p( z < 0.05 ) - p (  z < - 0.7)

= 0.51994 - 0.24196 ≅ 0.2780

So, required % =  0.2780 × 100

                         = 27.80%

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The rational function ƒ(x) that represents the average price per minute x years after 1998 is given by ƒ(x) = g(x) / h(x), where g(x) = -0.27x³ + 1.40x² + 1.05x + 39.4 and h(x) = -8.25x³ + 53.1x² - 7.82x + 138.

To calculate the average price per minute x years after 1998, we need to find the ratio between the average monthly bill (g(x)) and the average number of minutes used (h(x)). Therefore, the rational function ƒ(x) is defined as ƒ(x) = g(x) / h(x).

Given that g(x) = -0.27x³ + 1.40x² + 1.05x + 39.4 and h(x) = -8.25x³ + 53.1x² - 7.82x + 138, we can substitute these expressions into the rational function to obtain the final formula: ƒ(x) = (-0.27x³ + 1.40x² + 1.05x + 39.4) / (-8.25x³ + 53.1x² - 7.82x + 138).

This rational function represents the average price per minute x years after 1998 based on the given average monthly bill and average number of minutes used by U.S. mobile phone users. By plugging in different values for x, you can evaluate the function and obtain the corresponding average price per minute for each year.

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Surface area of larger triangular pyramid is 49cm².

Given,

Altitude of smaller pyramid = 3 cm.

Altitude of larger pyramid = 7 cm.

Surface area of smaller pyramid = 9cm².

Now,

Relation between altitudes of similar pyramids and surface area :

Surface area of smaller pyramid / Surface area of larger pyramid = (altitude of smaller pyramid / altitude of larger pyramid)²

Let us assume the surface area of larger pyramid be x cm²

Substituting the given values in the relation,

9 cm²/x cm² = (3/7)²

x = 49 cm² .

Thus the surface area of larger pyramid is 49 cm².

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