is 3/5 of a mile longer or shorter than 4/7 of a mile

The area of a triangle with the given set of vertices is 12 square units, which is obtained using the concepts of coordinate geometry and the area of triangles.

What is the area of a triangle?

The area of a triangle is defined as the total region bounded by the three sides of a triangle. For a right-angled triangle, the area is given by ½ * (base * height).

Calculation of the area of the given triangle

Given:

P(7,6), Q(1,6), R(4,2) be the three vertices of a triangle PQR

Let PQ be the base parallel to the x-axis

b = 7 - 1 = 6

And altitude is the difference of y coordinates of the point Q and R, h = 6 - 2 = 4

The area of triangle PQR is equal to half the product of base and height

Area = (6 × 4) / 2

        = 24 / 2

        = 12 square units

Hence, the area of the triangle with given vertices is 12 square units.

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The value of x in the figure is 4

From the attached figure, we have the following parameters:

DE = x + 1

BC = 4x - 6

The triangles ADX and ABC are similar triangles

Based on the representation of the sides, we have:

BC = 2 * DE

So, we have

2 * (x + 1) = 4x - 6

Expand

2x + 2 = 4x - 6

Evaluate the like terms

2x = 8

Divide by 2

x = 4

Hence, the value of x in the figure is 4

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Ascending order is 1/6< -4/-9< 11/12 < -21/ -18.

Here the fraction is -4/-9, 11/12, -21/-18, 1/6.

To know write the fraction in its ascending form, and convert the fraction into it's decimal form.

Therefore we have,

-4/-9 = 4/9 = 0.44

11/12 = 0.916

-21/-18 = 21/18 = 7/ 6 = 1.16

1/6 = 0.16

Therefore ascending order is 0.16< 0.44< 0.916 < 1.16. That is 1/6< -4/-9<11/12 < -21/-18.

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Answer:

Volume = 4  πr3 3=  4 ×π×43 3

=  268.08257310633 feet3

Step-by-step explanation: I really hope this helps please let me know if i am wrong hope u have a good day (:

Approximating 7,123,456 by rounding to the nearest million will be 7,000,000.

Anything similar to something else but not precisely the same is called an approximation. By rounding, a number can be roughly estimated. By rounding the values in a computation before carrying out the procedures, an estimated result can be obtained.

If you want to round to one or two decimal places, look at the digit immediately following the decimal point. To the right of the necessary place value digit, draw a vertical line. Observe the following digit. Increase the preceding digit by one if the following digit is 5 or higher.

Therefore, approximating 7,123,456 by rounding to the nearest million will be 7,000,000.

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Answer:

5 pounds I think hope this helped :)

Answer:

there................

Answer:

21 cm square

Step-by-step explanation:

Base x Height = Area

Area = 3 x 7 = 21 cm square.

Answer:

cool cool

Step-by-step explanation:

cool

Answer:

Step-by-step explanation:

Take average speed to be (40+50)/ 2 = 45 mph.

Then estimate of distance travelled

= 45 * 3.5

= 160  miles.

Answer:

أنا بصراحة لا أعرف

Step-by-step explanation:

[x < -1/2 x

v≥ 2x+3

B

-5-4-3

C

5

4

3

-

-1₁

L2

-3-

4

-5

D

A

-2 3

4

The cost for their current plan is $83.5

The given parameters are

Price for 30 gigabytes of data and unlimited talk and text = $55.

Phone costs = $19 per month.

Taxes =  $9.50 per month.

The equation of the cost for their current plan is represented as:

Total cost = Price for 30 gigabytes of data and unlimited talk and text + Phone costs + Taxes

So, we have

Total cost = 55 + 19 + 9.50

Evaluate the sum

Total cost = 83.5

Hence, the cost for their current plan is $83.5

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Answer:

15

Step-by-step explanation:

The plane is 180 degrees, all you need to do is subtract 60 then divide the answer by 8.

(180-60)/8=15

This is 7th grade math bro

Answer:

she has 2 sisters; lucy simon and joanna simon

Step-by-step explanation:

Answer:

use air math it helps alot!

Step-by-step explanation:

Answer:

3÷4= 0.75 then,

1/2=0.5

Step-by-step explanation:

Hope it was helpful.

Answer:

y=-11

Step-by-step explanation:

Answer:

y = - 11

Step-by-step explanation:

y=6x+7
y=6*(-3)+7
y=-18+7
y=-11

Answer:

A. 5, 1/2

Midpoint formula: (x1+x2)/2, (y1+y2)/2

5 + 5 / 2 = 5

4 + -3 / 2 = 0.5

therefore it is

(5, 1/2)

Answer: A & D

Step-by-step explanation:

A & D both are correct

Answer:

x<212

Step-by-step explanation:

Because < means that x is less than 212

The given statement "If Dante obtains a part-time job, he can afford a car payment" is valid.

Logical reasoning essentially consists of a statement and a conclusion. In this part, a claim and several inferences will be made. It is necessary to select the statement's logically following conclusion.

Given that If Dante obtains a part-time job, he can afford a car payment. Dante can afford a car payment.

Conclusion: Dante obtained a part-time job.

From the given statement it is concluded that Dante obtained a part-time job which means that he is financially stable now to pay for the car.

Therefore, the given statement "If Dante obtains a part-time job, he can afford a car payment" is valid.

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Step-by-step explanation:

g(2)=((2)²-2-12)/((2)²-4(2)+4)

=4-2-12/4-8+4

=-10/0=undefined

Answer:

53.8

Step-by-step explanation:

Question is asking for the mean, mean is basically the average of all the values. To calculate the mean you add all the values together and divide by how many values there are.

Add all values together you get 323

Since you have 6 values we do 323÷6

Which will give us 53.83

Rounded would be 53.8

Step-by-step explanation:

these are the answers. ignore the scribbles :)

The simplification of the equation - 2 = 2 + v/4 is v = - 16.

Equation, which is defined as the quality of being equal, is frequently represented by a mathematical expression with equal values on either side or by a situation in which numerous factors must be taken into account.

Consider the equation,

-2 = 2 + v/4

The equation can be rewritten as:

-2 = 2/1 + v/4

The least common multiple or LCM of 1 and 4 is 4.

-2 = ( 2 × 4) / (1 × 4) + v /4

-2 = 8/4 + v/4

-2 = ( 8 + v) /4

Multiplying each side of the equation by 4

- 2 × 4 = [ ( 8 + v ) / 4 ] × 4

- 8 = 8 + v

Subtracting each side of the equation by 8.

- 8 - 8 = 8 + v - 8

v = - 16

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Answer:1,1 0

Step-by-step explanation:

The weight of the egg is 15.79 grams.

Normal Distribution:

Normal distribution, refers the probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

Given,

The normal model n(58,21) describes the distribution of weights of chicken eggs in grams.

suppose that the weight of a randomly selected chicken egg has a z-score of -2.01.

Here we need to find the weight of the egg and we have to round off it to the nearest hundredth of gram.

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

So,

X ~ n(58, 21)

Where this means the value of

σ =  21

[tex]\mu[/tex] = 58

Apply the values on the formula,

[tex]Z=\frac{x-\mu}{\sigma}[/tex]

=> -2.01 = (x - 58) / 21

=> -2.01 x 21 = x - 58

=> -42.21 + 58 = x

=> x = 15.79

So, the weight of the egg is 15.79 grams.

When we round off it to the nearest hundredth then we get,

=> 15.79

Because there is no hundredth term in this one.

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