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Answer:

Step-by-step explanation:

(4,3) and (6,9)

difference of x-coordinates = 6-4 = 2

difference of y-coordinates = 9-3 = 6

distance between points = √(2²+6²) = √40 = 2√10

Answer:

24

Step-by-step explanation:

6+8=14 14+10=24

Answer:

1.sector 2. chords

Step-by-step explanation:

chord of a circle is a straight line segment whose endpoints both lie on a circular arc. ... More generally, a chord is a line segment joining two points on any curve, for instance, an ellipse. A chord that passes through a circle's center point is the circle's diameter.

Answer:

150 minutes

Step-by-step explanation:

P.S - The exact question is -

Given - This is the pond in a shape of a prism, it is completely full of

             water. Colin uses a pump to empty the pond. The level goes

             down by 20 cm in the first 30 min.

To find - Work put how many minutes Colin has to wait for the pond

               to completely empty.

Proof -

Given that,

Height of prism = 1 m

Also,

Base of the prism is trapezium and

Sides of the trapezium are 0.6 m and 1.4 m

Height of trapezium is 2 m

We know that,

Area of trapezium = [tex]\frac{1}{2}[/tex]× (sum of sides)× height

                             =  [tex]\frac{1}{2}[/tex]× (0.6 + 1.4)× 2

                             =  [tex]\frac{1}{2}[/tex]× (2)× 2

                             =  2 m²

⇒Area of trapezium = 2 m²

Now,

Volume of prism = Area of trapezium × height of prism

                          = 2 m² × 1 m

                          = 2 m³

⇒Volume of prism = 2 m³

Now,

Given that the level goes down by 20 cm in the first 30 min

We know

100 cm = 1 m

⇒1 cm = [tex]\frac{1}{100} m[/tex] = 0.01 m

⇒20 cm = 20×0.01 m = 0.2 m

⇒The level goes down by 0.2 m in the first 30 min.

Also,

we know that height of water = height of prism = 1 m

So, the remaining water left in the pond = 1 m - 0.2 m = 0.8 m

Also,

Volume of Remaining water = Area of trapezium × height

                                           = 2 m² × 0.8 m

                                           = 1.6 m³

⇒Volume of Remaining water = 1.6 m³

Now,

Volume of emptied water = Total Volume - Volume of Remaining water

                                       = 2 m³ - 1.6 m³

                                       = 0.4 m³

⇒Volume of emptied water = 0.4 m³

Now,

0.4 m³ water will be empty in 30 minutes

⇒ 1 m³ water will be empty in [tex]\frac{30}{0.4}[/tex] = 75 minutes

⇒1.6 m³ water will be empty in 1.6 × 75 = 120 minutes

∴ we get

The remaining water is empty in 120 minutes

So,

Total pond is empty in 120 + 30 minutes

⇒Total pond is empty in 150 minutes

Answer:

24000 grams

Step-by-step explanation:

1kg = 1000 grams

So 24kg × 1000 = 24000 grams

Answer:

A.   4.5 ft

B.    4 ft

C.    1 ft

Step-by-step explanation:

If you pretend that h is replacing y and d is replacing x and you would graph the equation, then you would get a parabola that opens down.

You would need to find the vertex of the parabola.  The ordered pairs would be (d, h) instead  of the normal (x, y).  

A.  The maximum height will be the h value of the vertex

B.   Let h = 0 and solve the equation for d.  That will give you distance from the stump that the frog landed.

C.  The distance from the log at the maximum height is the d value of the vertex

So, that is what is needed to be done.

Without me going thru all the work, the vertex is (1, 4.5) and the solutions to the equation when h = 0 are 4, -2  (discard -2 since a distance cannot be negative)

So the answer to A is 4.5 ft.

The answer to B is 4ft.

The answer to C is 1 ft.

Now, can you find the vertex on your own and can you solve the equation when h = 0?  I hope so.  OK?

A function assigns the values. The maximum height will be when the horizontal distance is 1feet from the log.

A function assigns the value of each element of one set to the other specific element of another set.

A.) The maximum height of the frog,

h = -0.5d²+d+4

dh/dd = -0.5(2d)+1

dh/dd = -d+1

0=-d+1

d = 1

The maximum height will be when the horizontal distance is 1feet from the log.

h = -0.5(1)² + 1 + 4

h = -0.5 + 1 + 4

h = 4.5

Hence, the maximum height of the frog will be 4.5 feet.

B.) The Distance between the frog and the stump when the frog land can be found,by putting h=0.

0 = -0.5(d)²+ d + 4

d²-2d-8=0

d²-4d+2d-8=0

d(d-4)+2(d-4)=0

d = 4, -2

Since the distance can not be negative, the frog is 4 feet away from the stump when the frog land.

C.) The maximum height will be when the horizontal distance is 1feet from the log.

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Answer: -46

Step-by-step explanation: Place -7 into the equation. 4(-7-5)+2= 4*-7=-28,-4*5=20. Negative 28 minus 20 is -48. Negative 48 + 2 is -46.

Answer:

33

Step-by-step explanation:

The pattern is y = 5x + 8.

So, plugging in 5 for x gives you y = 5(5) + 8 = 33.

Answer:

32%

Step-by-step explanation:

50-34=16

16/50=0.32

0.32 x 100= 32

Answer:

$4.05

How:

1. $15 + the extra $4.25 = $19.25

2. $3.25 + $11.95 for the meal = $15.20

3. $19.25 - $15.20 =  $4.05

Simon had $4.05 left after paying for lunch.

Answer:

Step-by-step explanation:

Remark

This is actually a six sided figure. That really doesn't matter, but it's interesting to observe. It goes a long way to explaining what is going on. The trick to exterior angles is that as long as the figure is convex ( a closed figure whose lines do not cross), the exterior angles add to 360.

Once you know that, then you know that this figure must have 6 exterior angles and no matter how they are made, their total is 360.

Equation

n + n + n + n + 90 + 90 = 360          Combine like terms.

Solution

4n + 180 = 360                                 Subtract 180

4n = 360 - 180

4n = 180                                            Divide both sides by 4

4n/4 = 180/4

n = 45

Note

Not a simple problem. Thanks for posting

Answer:

E

because both sides are equal when substituted by 3 & 5

Answer:

5

Step-by-step explanation:

Answer:

The X- intercept is (7/5,0) and the Y intercept is (0,-21/2)

Step-by-step explanation:

Answer:

d is the answer

Step-by-step explanation:

have a great day :D

Answer:

D is the answer

Step-by-step explanation:

180-(65+50)=

 65+50=115

 180-115=65

Answer:

y=-1/4x+5

Step-by-step explanation:

Use the point-slope form which is y-y1=m(x-x1) where m is the slope. In this case, y is equal to 3, and x is equal to 8, and the slope is equal to -1/4. Therefore, the equation will be equal to y-3=-1/4(x-8). Simplify that to get        y-3=-1/4x+2. Simplify this again to get y=-1/4x+5. Therefore, the equation is y=-1/4x+5.

Answer:

y = -1/4x + 5

Step-by-step explanation:

Since the lines are parallel, they have the same slope, which is -1/4

Use the point-slope form to do this problem

[tex]y - y_{1} = m(x - x_{1})[/tex]  Memorize this form. OK?

y - 3 = -1/4(x - 8)

4y - 12 = -1(x - 8) = -x + 8

4y = -x + 20

y = -1/4x + 5

Answer:

[tex]\boxed {\sf Parallel: 7 }[/tex]

[tex]\boxed {\sf Perpendicular: -\frac{1}{7}}}[/tex]

Step-by-step explanation:

First, identify the slope.

We are given the line y=7x-5.

This is in slope intercept form or y=mx+b where m is the slope and b is the y-intercept. So, the coefficient to x, or 7 in this case, is the slope.

Now, find the parallel and perpendicular slopes.

1. Parallel Slope

Parallel lines never intersect, so they have the same slope. A parallel line has a slope of 7.

2. Perpendicular Slope

Perpendicular slopes intersect to form right angles. They have negative reciprocal slopes.

A parallel line has a slope of 7 and a perpendicular line has a slope of -1/7.

Answer:

I'll help

Step-by-step explanation:

Parallel lines have the same slope so it will be 7.

And perpendicular lines if you multiply them together they have to add up to -1,

So 7 you change it to its opposite which is 1 over 7 and yeah just

Answer:

D

Step-by-step explanation:

those angles are vertical angles so they are congruent.

Answer:

2x+22

Step-by-step explanation:

Answer:

It looks like the factored form of a polynomial

Step-by-step explanation:

In unfactored form, it would be this:

2r^2 + -2r + 1

Answer:

A12 square feet

[tex] (\frac{1}{2} \times 4 \times 3) + ( \frac{1}{2} \times 4 \times 3) \\ 6 + 6 \\ 12[/tex]

Answer:

A. 12 square feet

Step-by-step explanation:

I got it right on my test

Answer:

A

Step-by-step explanation:

Hope this will help

Answer:

I think so it is option A)

I hope this might help u

Answer:

Step-by-step explanation:

x^2 + 3x + 2 = (x+1)(x+2)

x^2 + 4x + 3 = (x+1)(x+3)

LCM = (x+1)(x+2)(x+3) = (x^2 + 3x + 2) (x+3) = x^3 + 6x^2 + 11x + 6

Step-by-step explanation:

1st expression

x2 + 3x + 2

x²+2x+x+2

x(x+2)+1(x+2)

(x+2)(x+1)

2nd expression

x2 + 4x + 3

x²+3x+x+3

x(x+3)+1(x+3)

(x+3)(x+1)

L.C.M=(x+1)(x+2)(x+3)

Answer:

1: 25c+10

2: 29a+18b

3: -2b+24n+11-12m

4: 23m+10

5: 8x+3y+16

Mean = 28.3 , Median = 28.5, Mode = 35, Standard deviation = 5.2

(All of the above are rounded off to one decimal place)

The given data are : 20, 22, 26, 27, 30, 31, 35, 35

We know that, mean = (sum of samples)/(no. of samples)

                                   = (20+22+26+27+30+31+35+35)/8

                                   = 226/8 = 28.25 = 28.3 (approx)

Here, median = (sum of 4th & 5th sample)/2

                       = (27+30)/2 = 57/2 = 28.5

Since 35 appears highest number of times, i.e. 2 times, then we can say that mode is equals to 35

Standard deviation = √{(20-28.3)²+(22-28.3)²+(26-28.3)²+(27-28.3)²+(30-28.3)²+(31-28.3)²+(35-28.3)²+(35-28.3)²}/8

= √{68.89+39.69+5.29+1.69+2.89+7.29+44.89+44.89}/8

= √(215.52/8) = √(26.94) = 5.190 = 5.2 (approx)

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Answer:

This app "Brainly" Is for students by student.

Step-by-step explanation:

Its a platform that allow students to ask students questions, and you help each other out. The points are just a way to reward people for answering.

Hope this helps!

All the love, Ya boi Fraser :)

yeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeessssssssssssssssssssssssssssAnswer:

Step-by-step explanation: