If the diameter of the circle is 14 units, calculate its area: then calculate its circumference

From the graph, the coordinate of M and L will be (-1, 3) and (3, 3). Then the equation of the line ML will be y - 3 = 0.

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

The figure below shows parallelograms ABCE, PQRS, and TNLM on a coordinate plane.

The coordinates and relations between the points are:

A(-3,-3), B(5,-3), C(5,5), and E(-3,5)

Then the equation of the line ML will be

From the graph, the coordinate of M will be (-1, 3) and the coordinate of L will be (3, 3).

Then the equation will be

[tex]\rm y- 3 = \dfrac{3-3}{3+1} (x - 3)\\\\y - 3 = 0[/tex]

Then the equation of the line ML will be y - 3 = 0.

More about the coordinate geometry link is given below.

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Answer:

Since the 'base' and 'top' of any prism have the same shape, the surface area can be found by

surface area of prism = 2 * area of base + perimeter of base * H

So for the rectangular prism in your example..

surface area = 2LW + 2(L+W)H

= 2 * 7 * 4 + 2*(7+4)*5

= 56 + 2 * 11 * 5

= 56 +110

= 166 sq cm

Hope this helps

Answer:

28 times

Step-by-step explanation:

On a fair die, the probability of rolling a 6, the only number greater than 5, is 1/6. So in 168 rolls of this die, Malachy can expect a 6 on 1/6 × 168, or 28 times.

Answer:

Falling action

Step-by-step explanation:

Falling action in a basic plot structure is the events that happen after the climax and before the resolution. This part of your story is often used to show the consequences of the climax and how it affects the characters.

Answer:

the system is inconsistent

also ,Check the attached graph

Step-by-step explanation:

let D₁ be the line of equation 3x - 9y = 36

    D₂ be the line of equation 2x - 6y = -8

In order to graph D₁ we need to find two point shot that lie on it.

→ If x = 0 , 3(0) - 9y = 36 ⇔ -9y = 36 ⇔ y = -4

Then the point C(0 , -4) lies on D₁

→ If x = 3 , 3(3) - 9y = 36 ⇔ -9y = 27 ⇔ y = -3

Then the point D(3 , -3) lies on D₁

Therefore,

D₁ is the line that connects the points C and D

Similarly,We can prove that the point she A(-4 , 0) and B(-1 , 1) lie on D₂

Then D₂ = (AB)

After graphing, we notice that D₁ and D₂ are parallel and they don’t have any point in common.

Therefore ,we say that’s the system is inconsistent

Answer:

20 ft

Step-by-step explanation:

There are 4 equal sides to a square so one side is 80/4 = 20 ft

Step-by-step explanation:

[tex] = 7 \frac{1}{2} .1 \frac{3}{5} [/tex]

[tex] = \frac{ \red{\cancel{15}}}{ \blue{ \cancel{2}}} . \frac{ \blue{\cancel{8}}}{ \red{\cancel{5}}} [/tex]

[tex] = \frac{3}{1} . \frac{4}{1} [/tex]

[tex] = 12[/tex]

[tex] \: [/tex]

4x+3y=2

4x=2-3y

x= 2/4 - 3/4 y

x= 1/2- 3/4y

(x= 0.5 - 0.75y)

[tex]\boxed{ \ \sf x=\dfrac{2-3y}{4} \ }[/tex]

[Given]

[tex]\sf \rightarrow 4x + 3y =2[/tex]

[Exchange Sides]

[tex]\sf \rightarrow 4x =2-3y[/tex]

[Divide both sides by 4]

[tex]\sf \rightarrow \dfrac{4x}{4} =\dfrac{2-3y}{4}[/tex]

[Simplify]

[tex]\sf \rightarrow x=\dfrac{2-3y}{4}[/tex]

Answer:

So the answer is approximately 18 years

Step-by-step explanation:

Your interest rate is 6.25%, or, 0.0625

A=P⋅(1+(r/n))^nt

Where:

P is the initial amount

r is annual rate of interest

t is number of years

A is the final amount of money

n is the number of times the interest is compounded per year

So

3P=P(1+0.0625)

3P=P (1.0625)^t

3=1.0625^t

Now we should use logarithmic functions.

ln(3)=t⋅ln(1.0625)

ln(3)ln(1.0625)=t

t=18.12 years

Answer:

1. 167.42

2. 22.01

3. 4.83

233.66-66.24 = 167.42

43.12-21.11 = 22.01

24.6-19.777 = 4.823

Check the picture below.

Combine like terms

Answer:

8x

Step-by-step explanation:

Given expression:

As we know, any negative integer being added by itself is 0. [-2y + 2y = 0]

Collect like terms and simplify;

Therefore, 8x is the simplified term.

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Answer:

the answer is 126 cm

sana makatulong

Given :-

To find :-

Solution:-

Hey mate , to find the total cost of pane we have to find the area of pane and multiply it by 25 cents

Area of pane :- 30×56cm²

Area of pane :- 1680cm²

Cost of pane :- 1860×25 cents

Cost of pane :- 42000 cents or 420$

Answer:

0 ≤ y ≤ 8

Step-by-step explanation:

DOMAIN is x values of a function/graph

RANGE is the y-values that a function can have .....

     this one goes from 0 to 8 inclusive

The table of values used to create the scatterplot below is:

Column 1 is labeled Day of Fund Drive with entries 1, 2, 3, 4, 5. Column 2 is labeled Money raised (dollars) with entries 200, 300, 200, 400, 300

The graphs x axis represents the Day of Fund Drive and  y axis represents Money Raised.

The ordered pairs from the plot are:

(1, 200), (2, 300), (3, 200), (4, 400), (5, 300)

Therefore, the table of values used to create the scatterplot below will be:

Day of Fund Drive      Money raised (dollars)

1                                           200

2                                          300

3                                          200

4                                          400

5                                          300

Learn more about scatterplot on:

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Answer:

C.

Step-by-step explanation:

Edge 2023

Answer:

73.77 ft²

Step-by-step explanation:

Area of circle - area of square

= πr² - (length × width)

= (3.14 × 8.1²) - (11.5 × 11.5)

= 73.7654

≈ 73.77 ft²

hope this helps =)

Answers:

The "square feet" portions are already handled by your teacher, so you'll just type in the numbers only.

======================================================

Explanation:

The formula for the area of a circle is

A = pi*r^2

We replace pi with its approximation 3.14, and plug in the radius r = 8.1 to get the following approximate area:

A = 3.14*(8.1)^2

A = 206.0154

A = 206.02 which is the answer to the first box

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

The unshaded region is a square of side length 11.5 ft

Its area must be (11.5)^2 = 132.25 square feet

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

Subtract the results of the previous boxes to get the shaded area.

206.02 - 132.25 = 73.77

Answer:

B. 60

Step-by-step explanation:

1. take the square root of 64

2. multiply 8*10 and 5*4

3. subtract

Square root of 64 is 8 so,

10*8 - 5*4

80 - 20 =

60

Considering the given confidence interval, the correct option regarding the conclusion of the hypotheses test is given by:

yes, because 0 is not in the confidence interval.

At the null hypotheses, it is tested if the difference is equals to zero, that is:

[tex]H_0: \mu = 0[/tex].

At the alternative hypotheses, it is tested if it is different, hence:

[tex]H_1: \mu \neq 0[/tex].

The confidence interval is (0.57, 1.25). Since it does not contain 0, there is enough evidence that the difference is different of 0, hence the correct option is given by:

yes, because 0 is not in the confidence interval

More can be learned about confidence intervals at https://brainly.com/question/25890103

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Answer:

circumference formula = πd or 2πr .. they are the same thing

G is the answer

Answer:  y=4/3x+1

Step-by-step explanation:

The formula is Y=mx+b

b is the y-intercept and MX is slope

Answer:

[tex]\frac{7}{10}[/tex]

Step-by-step explanation:

P(R or B)=[tex]\frac{5}{20}+\frac{9}{20}[/tex]

             =[tex]\frac{7}{10}[/tex]

Answer:

2/3

Step-by-step explanation:

total marbles is (8 black+ 16 white + 14 red +10 green) = 48

no white cmarbles ( 8+14+10) = 32

32/ 48 =  2/3

Answer:

  x = 70°

Step-by-step explanation:

The relevant relations are ...

__

Triangle OBQ is isosceles, so angle OQB = 40°. Triangle OPQ is isosceles, so angle OQP is x. The sum of angles OQB and OQP is angle BQP, which is supplementary to angle OPQ. That is, ...

  (40° +x) +x = 180°

  2x = 140° . . . . . . subtract 40°

  x = 70° . . . . . . divide by 2

_____

There are many ways to find x. The one shown here is just one of them. In general, right triangles, isosceles triangles, symmetry, inscribed angles can all be used to write relations involving the known angles and x.