work out the sum of 1/5 , 3/4 and 1/2 give the answer as a mixed number and in it's simplest form​

Answer: Hope This Helps!

Step-by-step explanation:

Statistic Definition: A mathematical science concerned with data collection, presentation, analysis, and interpretation

Examples: "Statistics is the only mathematical field required for many social sciences." and "The statistics from the Census for apportionment are available."

Answer: D. Daily times for a long distance runner

Answer: C. Ages of siblings

Step-by-step explanation: Line graphs are used to track changes over short and long periods of time.

Answer:

18

Step-by-step explanation:

Adding 6 and 3 gives you the full length of the long side of rectangle  and since 3 is the radius of the circle, the short side if the rectangle would also be equal to 3.

So, the long sides equal 9 and the short sides are 3, making the perimeter 18

The perimeter of the rectangle is P = 24 units

The perimeter P of a rectangle is given by the formula, P=2 ( L + W) , where L is the length and W is the width of the rectangle.

Perimeter P of rectangle = 2 ( Length + Width )

Given data ,

Let the perimeter of the rectangle be P

Now , the width of the rectangle = radius of circle

W = 3 units

And , the length of the rectangle is L = 6 + 3 = 9 units

And , Perimeter P of rectangle = 2 ( Length + Width )

On simplifying , we get

P = 2 ( 9 + 3 )

P = 2 x 12

P = 24 units

Hence , the perimeter is 24 units

To learn more about perimeter of rectangle click :

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V= 4 i mean thats the best i can give sorry good luck pretty sure its right

Answer:

hey:)

H= 90+33=123

180-123=57

so:

H=57°

Step-by-step explanation:

The general vertex form is given by

[tex]y = a {(x - h)}^{2} + k[/tex]

where (h, k) is the vertex and a is a constant. So we can write the y as

[tex]y = a {(x - 2)}^{2} + 1[/tex]

To find the value of a, substitute the point (1, -4)

-4 = a(1 - 2)^2 + 1

or a = -5

Therefore, the vertex form of the parabola is

[tex]y = - 5 {(x - 2)}^{2} + 1[/tex]

Answer:

Step-by-step explanation:

3x + 4y = 12

4y = -3x +12

y = (-3/4)X + 12/4

y = -[tex]\frac{3}{4}[/tex]X  + 3

Answer:

3x-5+6x+14=180

9x+9. =180

9(X+1).= 180

X+1. =20

X= 19

Answer:

$0.42

Step-by-step explanation:

create a proportion:

13/.78 = 7/x

cross-multiply to get:

13x = 7(.78)

13x = 5.46

x = 5.46/13

x = .42

Answer:

Step-by-step explanation:

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Answer:

5 2/5

Step-by-step explanation:

4/10 - /5. 10 is divided by 2 to get to 5. 4 should also be divided by 2 which gets you 2. This is why your answer should be 5 2/5.

Answer:

[tex]5.1[/tex] units

Step-by-step explanation:

(4, 4) & (9, 3)

To find the distance of two points, we use the distance formula:

[tex]d = \sqrt{(x_{2}-x_1)^2 + (y_2-y_1)^2 }[/tex]

Let's plug in what we know.

[tex]d = \sqrt{(9 - 4)^2 + (3 -4)^2 }[/tex]

Evaluate the parentheses.

[tex]d = \sqrt{(5)^2 + (-1)^2 }[/tex]

Evaluate the exponents.

[tex]d = \sqrt{(25) + (1)}[/tex]

Add.

[tex]d = \sqrt{(26)}[/tex]

Evaluate the square root.

[tex]d = \sqrt{26}[/tex] or [tex]5.0990[/tex] units

Round to the nearest 10th.

[tex]5.1[/tex] units

Hope this helps!

Answer:

When do you hit the water?

1.075 seconds after you jump.

What is your maximum height?

the maximum height is 12.5626 ft

Step-by-step explanation:

The equation:

h(t) = -16*t^2 + 6*t + 12

Is the height as a function of time.

We know that the initial height is the height when t = 0s

h(0s) = 12

and we know that the diving board is 12 foot tall.

Then the zero in h(t)

h(t) = 0

Represents the surface of the water.

When do you hit the water?

Here we just need to find the value of t such that:

h(t) = 0 = -16*t^2 + 6*t + 12

Using the Bhaskara's formula, we get:

[tex]t = \frac{-6 \pm \sqrt{6^2 - 4*(-16)*12} }{2*(-16)} = \frac{-6 \pm 28.4}{-32}[/tex]

Then we have two solutions, and we only care for the positive solution (because the negative time happens before the jump, so that solution can be discarded)

The positive solution is:

t = (-6 - 28.4)/-32 = 1.075

So you hit the water 1.075 seconds after you jump.

What is your maximum height?

The height equation is a quadratic equation with a negative leading coefficient, then the maximum of this parabola is at the vertex.

We know that the vertex of a general quadratic:

a*x^2 + b*x + c

is at

x = -b/2a

Then in the case of our equation:

h(t) = -16*t^2 + 6*t + 12

The vertex is at:

t = -6/(2*-16) = 6/32 = 0.1875

Evaluating the height equation in that time will give us the maximum height, which is:

h(0.1875) =  -16*(0.1875 )^2 + 6*(0.1875) + 12 = 12.5626

And the height is in feet, then the maximum height is 12.5626 ft

You hit the water 1.075 seconds after you jump.

The maximum height is 12.56.

Given that,

You are jumping off the 12-foot diving board at the municipal pool.

You bounce up at 6 feet per second and drop to the water your height h (in feet) above the water in terms of t seconds is given by,

[tex]\rm h(t)=-16t^2+6t+12[/tex]

We have to determine,

When do you hit the water?

What is your maximum height?

According to the question,

You bounce up at 6 feet per second and drop to the water your height h (in feet) above the water in terms of t seconds is given by,

[tex]\rm h(t)=-16t^2+6t+12[/tex]

1. The initial height is the height when t = 0 second,

[tex]\\\rm h(t)=-16t^2+6t+12\\\\\rm h(0)=-16(0)^2+6(0)+12\\\\ h(0) = 12[/tex]

And the diving board is 12 feet tall.

Then the zero in h(t)

h(t) = 0

When h(t) = 0 represent the surface of the water,

[tex]\rm h(t)=-16t^2+6t+12\\\\\rm -16t^2+6t+12 =0\\\\8t^2-3t-6=0\\\\x = \dfrac{-(-3)\pm \sqrt{(-3)^2-4\times8\times(-6)}}{2\times 8}}\\\\x = \dfrac{3\pm \sqrt{9+192}}{16}}\\\\x = \dfrac{3\pm \sqrt{201}}{16}}\\\\x = \dfrac{3\pm 14.77}{16}}\\\\ x = \dfrac{3+14.77}{16} \ and \ x = \dfrac{3-14.77}{16} \\\\x = \dfrac{17.77}{16} \ and \ x = \dfrac{-11.77}{16} \ \\\\ x = 1.075 \ and \ x = -0.855[/tex]

The value of x can not be negative then the value of x is 1.075.

Therefore, you hit the water 1.075 seconds after you jump.

2. The maximum height is reached by you, you first derivative the function h(t) with respect to t:

[tex]\rm \dfrac{dh(t)}{dt} = \dfrac{d(-16t^2+6t+12)}{dt}\\\\\rm \dfrac{dh(t)}{dt} = \dfrac{d(-16t^2)}{dt} +\dfrac{d(6t)}{dt}+\dfrac{d(12)}{dt}\\\\\rm \dfrac{dh(t)}{dt} = 2\times (-16t) + 6\times 1+0\\\\ \dfrac{dh(t)}{dt} = -32t+6\\\\[/tex]

To find the maximum height the value first derivative is equal to zero.

[tex]\rm \dfrac{dh(t)}{dt} = 0\\\\-32t+6=0\\\\-32t=-6\\\\t = \dfrac{6}{32}\\\\t = \dfrac{3}{16}\\[/tex]

Substitute the value of t in the equation to find the maximum height,

[tex]\rm h(\dfrac{3}{16})=-16(\dfrac{3}{16})^2+6(\dfrac{3}{16})+12\\\\ h(\dfrac{3}{16})=-(\dfrac{9}{16})+6(\dfrac{3}{16})+12\\\\ h(\dfrac{3}{16})=-\dfrac{-9}{16}+\dfrac{18}{16}+12\\\\ h(\dfrac{3}{16})= \dfrac{-9+18+192}{16} \\\\ h(\dfrac{3}{16}) = \dfrac{201}{16}\\\\h(\dfrac{3}{16}) = 12.56[/tex]

Hence, The maximum height is 12.56.

For more details refer to the link given below.

https://brainly.com/question/20120328

Answer:

9.5

Step-by-step explanation:

Answer:

.

Step-by-step explanation:

Answer:

Quadrant III

Step-by-step explanation:

Quadrant I = 1 - 90°

Quadrant II = 91 - 180°

Quadrant III = 181 - 270°

Quadrant IIII = 271 - 360°

Answer:

c

Step-by-step explanation:

Answer:

1,440

Step-by-step explanation:

if first two digits must be odd, then there are 4x3 or 12 combinations for that

if the next three digits can be even or odd but not repeats then there can be 6 (two odds remaining plus four evens) x 5 x 4 = 120

120 x 12 = 1,440

Answer:

A. 244.93 ft sq

Step-by-step explanation: radius= 7 pi= 3.14 area for triangle= 168 area for semi-circle = 76.93.

how i got it:

area of semicircle 7 x 7 =49  49 x 3.14 = 153.86  153.86 divded by 2 = 76.93

 area of triangle: 14 x 24 = 336 336 divded by 2 = 168  168 + 76.93 = 244.93

Answer:

30.2 is the answer (use distrubutyion in this problem)

Step-by-step explanation:

Answer:

The diameter of the pizza = 14 in

Radius of the pizza = (14/2)in = 7in

Area of a whole pizza =

πr^2

=( 22/7 × 7^2)in^2

=( 22/7 × 49)in^2

154 in^2

Area of a half pie =( 1/2 × 154)in^2 = 77in^2

Area of one of 8 slices = (1/8 × 154)in^2 = 19.25in^2

Hope it helps

Answer:

x = 1.2

Step-by-step explanation:

12.50x = 15

12.50/12.50 x = 15/12.50

x = 1.2

(Sorry i dont understand what you mean by percent increase)

Answer:

12. (8(2.5)-3)

(20-3)

y=17in

10. 3x+1+92=180

3x+93=180

3x=180-93

3x=87

x=87/3

x=29°

11. (6(2.5)+2)

(15+2)

G=17

Answer:

#10 I think its 14.3

#11 GI=16

#12 AC =17

Step-by-step explanation:

180-92=88 divided by 2=44

6x2.5=15+2=17

8x2.5=20-3=17

Answer:

x=-3.5 , the points of the graph are 0,1 and 3,3

Step-by-step explanation: