Use the Pythagorean Theorem to
find the distance between
(1,1) & (-5,-4)

Answer:

Statistical knowledge helps you use the proper methods to collect the data, employ the correct analyses, and effectively present the results. Statistics is a crucial process behind how we make discoveries in science, make decisions based on data, and make predictions.

Answer:

D. 45 unit

Step-by-step explanation:

parallelogram:

the area of the parallelogram is 45 units(D.)

Answer:

4.37

Step-by-step explanation:

23.8+ 4.37= 28.17

The volume of the cylinder from the rectangle is the size of the cylinder

The rectangle that generates the cylinder of the largest volume is 3 inches by 6 inches

Let the dimension of the rectangle be x and y.

So, the perimeter (P) is:

[tex]P = 2 * (x + y)[/tex]

The perimeter is given as 18.

So, we have:

[tex]2 * (x + y) = 18[/tex]

Divide both sides by 2

[tex]x + y = 9[/tex]

Make y the subject

[tex]y = 9 - x[/tex]

The volume of a cylinder is:

[tex]V = \pi r^2h[/tex]

So, we have:

[tex]V = \pi x^2(9 -x)[/tex]

Expand

[tex]V = \pi(9x^2 -x^3)[/tex]

Differentiate

[tex]V' = \pi(18x -3x^2)[/tex]

Set to 0

[tex]\pi(18x -3x^2) = 0[/tex]

Divide both sides by [tex]\pi[/tex]

[tex]18x -3x^2 = 0[/tex]

Divide both sides by 3x

[tex]6 -x = 0[/tex]

Make x the subject

[tex]x = 6[/tex]

Recall that:

[tex]y = 9 - x[/tex]

So, we have:

[tex]y = 9 - 6[/tex]

[tex]y = 3[/tex]

Hence, the rectangle that generates the cylinder of the largest volume is 3 inches by 6 inches

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decimal system is the name of our number system.

Answer:

Our Number System is Hindu Arabic Number System.

The digits are: 0,1,2,3,4,5,6,7,8,9

Answer:

(-2, -3)

Step-by-step explanation:

when its relected its just flipping over the horizontal axis (x-axis) so in turn that is the answer! :) hope this helped you

Answer:

GF where G is at (6,5) and F is at (10,2)

Step-by-step Explanation:

Perpendicular lines always have the negative reciprocal as the other line as their slope. This is such that (1/3) × (-3/1) = -1, so -3/1 is the negative reciprocal to 1/3.

This means we are looking for a line with the slope -3/4, and we can find the slopes by using the formula (y2 - y1)/(x2 - x1).

For the first option, LM, we get (9 - 3)/(-10 - 2) = 6/-12 = -1/2, so it is not this.

For the second option, GF, we get (2 - 5)/(10 - 6) = -3/4, which is the slope we were looking for. This means that the second option is our answer.

I hope this helps!

Answer:

81.2 cm

Step-by-step explanation:

Applying the tangent ratio, the horizontal distance, rounded to the nearest tenth, is: 1,508.8 ft.

Tangent ratio, TOA, is expressed as, tan ∅ = opposite/adjacent.

The situation has been sketched in the diagram atatched below, where:

Apply the tangent ratio:

tan 5 = 132/BC

BC = 132/tan 5

BC = 1,508.8 ft.

Therefore, applying the tangent ratio, the horizontal distance, rounded to the nearest tenth, is: 1,508.8 ft.

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Answer:

THE AWNSWER IS A≥3B

Step-by-step explanation:

A≥3B

Answer:358800

Number of dispositions of 4 letters without repetitions of the alphabet (26 letters): 26*25*24*23=358800

Step-by-step explanation:

Answer:

110/250

Step-by-step explanation:

If the fraction goal is 250 then put the 250 as the denomanator and the 110 as the top common denomanator.

Percentage of funds raised is 44 % , Fraction of funds raised is (11/25) and Fraction of funds raised in decimal form is 0.44.

To find the % of a number, divide it by its value, then multiply the result by 100. Percentage is a relative value that denotes one tenth of any quantity. As one percent (symbolised as 1%) is equal to one tenth of anything, 100 percent stands for everything, while 200 percent refers to double the amount specified.

As per the given data:

In the diagram given, we can find the total amount of funds to be raised and the amount of fund which is raised currently.

Total amount to be raised = $250,000

Amount already raised = $110,000

Percentage of funds raised = (110,000/250,000) × 100 = 44 %

Fraction of funds raised = (110,000/250,000) = (11/25)

Fraction of funds raised in decimal form = 0.44

Hence, Percentage of funds raised is 44 % , Fraction of funds raised is (11/25) and Fraction of funds raised in decimal form is 0.44

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(The question is incomplete, the complete question is given below.)

Answer:

The circumference of a circle with radius 48 is 301.6(*)

Step-by-step explanation:

Formulas:

Step-by-step Solution:

(*) 301.6 cm exactly or limited to de precision of this calculator (13 decimal places).

Note: for simplicity, the operations above were rounded to 2 decimal places and π was rounded to 3.14.

A circumference of 301.6 centimeters is equal to:

Answer:

301.6

Step-by-step explanation:

circumference = πD

Diameter = r x 2

diameter = 48 x 2 = 96

96 x π = 301.592895

301.6 to 1dp

If you need further help, let me know!

- profparis

Answer:

3 and 6

Step-by-step explanation:

IQR = Q3-Q1=96-62=34

Lower Outlier = Q1 - 1.5*IQR = 62 - 1.5*34 = 11

Any Value under 11 is Considered as Outlier

Then 3 and 6 are Outliers

Upper Outlier = Q3 + 1.5*IQR = 96 + 1.5*34 = 147

Any Value Above 147 is Considered as Outlier

There is no Value above 147

The Only Outliers are 3 and 6

( 10 / 13 ) * 125 = original price

( 10 / 13 ) * 125 = 96.15

Answer: 20 Pounds

Step-by-step explanation:

1/4 X 5 = 1/20 then reverse it

20/1 = 20 Pounds

(may not be correct!!!)

Answer: I believe that, at that specific rate, it will take Suzanne 100 hours to drive 4,000 miles.

Answer:

  Patty, Karla, Cathy

Step-by-step explanation:

The scoring percentage of goals attempted can be computed by dividing goals made by those attempted, then multiplying the result by 100%.

__

Cathy's rate is ...

  27/54 × 100% = 50%

Karla's rate is ...

  18/45 × 100% = 40%

Patty's rate is ...

  given as 34%

__

By least to greatest scoring rate, the athletes are ...

  Patty (34%), Karla (40%), Cathy (50%)

Answer:

The distributive property

Step-by-step explanation:

2 is being used to multiply both terms (x and 3)

Hope this helps!

Answer:

Distributive property

Step-by-step explanation:

Distributive property: a*(b + c) =(a*b) + (a*c)

2(x + 3) =2*x + 2*3

            =2x + 6

The range of the possible values for X will be;

⇒ X < 5

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The sides of a triangle QRS are;

⇒ QR=10X - 6,

⇒ RS = 6X - 15,

⇒ QS = X + 24,

Now,

We know that;

The sum of two sides of a triangle is always greater than the third side.

So, We can formulate;

⇒ 10X - 6 < (6X - 15) + (X + 24)

⇒ 10X - 6 < 7X + 9

⇒ 10X - 7X < 9 + 6

⇒ 3X < 15

⇒ X < 5

Thus, The range of the possible values for X will be;

⇒ X < 5

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Answer: $41000 Was the Smiths family budget last year.

Step-by-step explanation:

First you take $4620 and DIVIDE it by .11 you will get $42000 and since last year had $1000 less to spend you subtract $1000 from $42000 to get $41000 for the budget last year.

The answer is 21. Hope this Helps!

The compound inequality that Contessa is solving is |8 - 3q| ≤ 7

An inequality is an expression that shows the non equal comparison between two or more numbers and variables.

Given the inequality:

-7 ≤ 8 - 3q ≤ 7

8 - 3q ≤ 7 and; 8 - 3q ≥ -7

8 - 3q ≤ 7 and; -(8 - 3q) ≤ 7

|8 - 3q| ≤ 7

The compound inequality that Contessa is solving is |8 - 3q| ≤ 7

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Answer

IT's C

Step-by-step explanation:

Answer:

80m^3

Step-by-step explanation:

Here,
For the base of pyramid which is a rectangle,
length(a) = 8m
breadth(c) = 5m
For the pyramid,
actual height (h) = 6m
Now,
The formula for the Volume of a rectangular based pyramid is,
1/3 * Area of base rectangle * height
= 1/3 * (a*c) * 6 [ Because area of rectangle is product of its two sides, length and breadth]
= 2 * 8 * 5
80m^3

Step-by-step explanation:

In the figure,

145° and 3x - 5 are vertically opposite angles which are equal, so

=> 3x - 5 = 145°

=> 3x = 145 + 5

=> 3x = 150°

=> x = 150°/3

=> x = 50°

Answer:

x = 50

explanation:

vertically opposite angles are of equal measure.

solve:

3x - 5 = 145

3x = 145 + 5

3x = 150

x = 50

Answer: C: Yes, the Pythagorean Theorem works out to be equal.

Step-by-step explanation:

to test if a triangle is right angled or not, just use the Pythagorean Theorem:

a²+b²=c², where a and b are the two shorter sides of the triangle, and c is the longest side.

plugging this in:

54²+72² ?= 90²

2916 + 5184 ?= 8100

8100 = 8100

Yes! Its correct, so we know that this triangle is a right triangle. the justification is C: Yes, the Pythagorean Theorem works out to be equal.

Answer:

y=(-1/9)x-(10/3)

Step-by-step explanation:

Since the line is perpendicular to y=9x-5, the slope of that line would be the opposite of the reciprocal of the original slope value. In this case, the slope of the line would be -1/9. So we have y=(-1/9)x+? Since we know a point, (-3, -3), we can input this back into our original equation and we have: -3=(1/3)+? We simplify and we have ?=-10/3. Therefore the final equation of the line that is perpendicular to that line and passes through the point (-3,-3) is y=(-1/9)x-(10/3).  

Answer:

C. -2

Step-by-step explanation:

4(y–3)+19=8(2y+3)+7

4y-12+19=16y+24+7

4y+7=16y+31

-12y=24

12y=-24

y=-2

Answer:

4(y-3)+19=8(2y+3)+7

4y -12 +19=16y+24+7...

-12+19-24-7=16y-4y

-24=12y÷12

-2=y...

•

•. • C.-2...