Logan is doing a handstand dive from a 12 meter platform. The equation that models the path of her dive is given by LaTeX: h=-4.9t^2+12h = − 4.9 t 2 + 12, where t is seconds. After how many seconds will Logan hit the water?

Answer:

y = x + 3.1

Step-by-step explanation:

As we move from (-8.3, -5.2) to (6.4,9.5), the horizontal change ("run") is 14.7 and the vertical change is 14.7.  Thus, the slope is m = rise / run = 14.7 / 14.7 = 1.

Write out y = mx + b.  Because  m = 1, we have

9.5 = 1(6.4) + b, or  9.5 = 6.4 + b, with the result that b = 3.1

and so the desired equation is                 y = x + 3.1

Answer:

[tex]\sqrt{450}= 21.21[/tex]

Step-by-step explanation:

[tex]\sqrt{450}=\sqrt{225*2}=15\sqrt{2}=21.21[/tex]

The required expression is 15√2.

In mathematics to operate and interpret the function to make function simple or more understandable is called simplification.

Simplification
= √450
=√3*3*5*5*2
=3*5√2
=15√2

Thus, the required expression is 15√2.

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Answer:

Step-by-step explanation:

x - 16 = -30

x = -14

Answer:

3.

Step-by-step explanation:-16 + x = -30

Answer:

r = [tex]\sqrt{11}[/tex]

Step-by-step explanation:

So we need to complete the square for both parts of the equation

First though we can add the 6 to the other side so we have x² + 2x + y² + 4y = 6

So first we can complete the square for x² + 2x

To do so we need to use [tex](\frac{b}{2} )^{2}[/tex] to figure out the number we need to add to both sides

In this case our b is 2, so substituting this in we get [tex](\frac{2}{2} )^{2} =(1)^{2} =1[/tex]

Here we add 1 to both sides and now we have x² + 2x + 1 + y² + 4y = 6 + 1

Now we can follow the same steps to complete the square for y² + 4y

Here our b is 4, so substituting this in we get [tex](\frac{4}{2} )^{2}=(2)^{2} =4[/tex]

Now we add 4 to both sides and now we have x² + 2x + 1 + y² + 4y + 4 = 6 + 1 + 4

Now condensing everything we have (x + 1)² + (y + 2)² = 11

The formula for a circle is (x - h)² + (y - k)² = r²

In our equation we have r² = 11

To find the radius we need to take the square root of both sides [tex]\sqrt{r^{2}} =\sqrt{11}[/tex] to get r = [tex]\sqrt{11}[/tex]

Answer:

1

Step-by-step explanation:

any number to the power 0 is equal to 1

Answer:  1

Step-by-step explanation:

n^0 = 1

any number raise to zero is one

Answer:

S = π( 2(9) + 2(3)(14))

Step-by-step explanation:

Here we are to select which of the options best describe the equation that could be used to find the surface area of the cylinder.

Mathematically,

the surface area of a cylinder can be calculated using the formula

S = 2 π r^2 + 2 π rh

from the question, we have r as d/2 = 6/2 = 3cm and h = 14cm

We plug these two values into the equation above

Thus, we have

S = 2 * π * 3^2 + 2 * π * 3 * 14

S = π( 2(9) + 2(3)(14))

Answer:

A

Step-by-step explanation:

While the obvious answer might be Book B because that had the most amount of teachers that approved it, I looked at it a different way. I think that the best book has the greatest percentage of teachers approved compared to the total teachers who reviewed the book. Let's apply this to the 4 books.

A: Approved = 8 Total = 9    8/9 = 88%

B: Approved = 24 Total = 29    24/29 = 83%

C: Approved = 12 Total = 16    12/16 = 75%

D: Approved = 20 Total = 26   20/26 = 77%

As you can see, Book A should be chosen because it has the highest percentage. I hope this helps and makes sense!

Answer:

i believe the answer is 80

Step-by-step explanation:

Answer:

Step-by-step explanation:

The scale factor is 2/3

2/3=2*2/2*3=4/6

2/3=2*3/3*3=6/9

The two figures are similar and the scale factor of the first figure to the second figure is [tex]\frac{2}{3}[/tex]

The scale factor is a measure for similar figures, who look the same but have different scales or measures.

From the given figure take the same sides of both figure

Width = [tex]\frac{6}{9}=\frac{2}{3}[/tex]

Length = [tex]\frac{4}{6}=\frac{2}{3}[/tex]

Height = [tex]\frac{2}{3}[/tex]

Therefore the scale factor is [tex]\frac{2}{3}[/tex]

Hence, the two figures are similar and the scale factor of the first figure to the second figure is [tex]\frac{2}{3}[/tex]

Learn more about Scale factor here

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Formula for the area of a quarter circle: A = (pi x r^2) / 4

A = (pi x 1^2) / 4

A = 1pi / 4

A = 0.79 square centimeters

Hope this helps! :)

Answer:

34+12d>100

Step-by-step explanation:

there u go

Answer:

GF = GE so GE = 7x-3

Answer:

GE = 38

Step-by-step explanation:

6x + 2 = 7x - 3

6x + 5 = 7x

5 = x

Put the variable into the equation of GF, since GF and GE make a square therefore are equal.

7(5) - 3

GE = 38

Answer:

11a.  (1, 1)

11b.  (2, 2)

Step-by-step explanation:

A function cannot have an x-value that produces multiple different y-values.  A function can have a y-value that produces multiple different x-values.

For this question, you could put in a number of different points and still get the right answer.  If you work through this problem yourself again and pick different points from mine, it doesn't mean that it is wrong.  As long as it follows the rules stated above, you will get the correct answer.

11a.  (1, 1)  

This is an x-value that was not stated in the data set.  This means that, as far as we know, there is only one y-value for the x-value of 1.

11b.  (2, 2)

This is an x-value that was stated in the data set.  This means that for the x-value of 2, there are two y-values: 2 and 8.

Answer:

20 degrees

Step-by-step explanation:

complementary angles sum up to 90 degrees

Answer:

[tex]20 \: \: degrees[/tex]

Step-by-step explanation:

complementary angles mean either of two angles whose sum is 90°.

[tex]x + 70 = 90 \\ x = 90 - 70 \\ x = 20 \: \: degrees[/tex]

Step-by-step explanation:

c) j = 95 degree (similar triangle)

d) jk/4 = 4.6/9.2

jk/4 = 1/2

jk = ?

Answer:

angle k = 30.4

Step-by-step explanation:

Large triangle :

95 + 15 = 110

180 - 110 = 70 degrees

Now, the second triangle is 2.3 times larger than the first one.

(9.2 divide 4 = 2.3)

so, 70 degrees divided by 2.3 = 30.4

Answer:

ravi's is 440 and malcolm's is 520 i think

Step-by-step explanation:

Answer:

9x−12

Step-by-step explanation:

Answer:

[tex] = 9x - 12[/tex]

Step-by-step explanation:

[tex]15x - 3(2x + 4) \\ 15x - 6x - 12 \\ = 9x - 12[/tex]

Answer:

[tex] \frac{12}{19} \times \underline{\bold{-1}} = -\frac{12}{19} [/tex]

Step-by-step explanation:

[tex] \frac{12}{19} \times ..... = -\frac{12}{19} [/tex]

= [tex] \frac{\frac{12}{19}}{-\frac{12}{19}} [/tex]

= [tex] \frac{12}{19} \times -\frac{19}{12} [/tex]

= [tex] -\frac{228}{228} [/tex]

= [tex] \bold{-1} [/tex]

So, the appropriate value to complete it is -1

#CMIIW ^^

Answer:

-1 is the answer

Step-by-step explanation:

:)

Answer:

c

Step-by-step explanation:

:)

Answer:

C.

Step-by-step explanation:

5x/x+ 3

Answer :

156°

Explanation :

Each triangle has an angle sum of 180 degrees.

The sum of the interior angles of the 15 sided polygon =

(n-2)180°

(n-2)180°

(15-2) × 180°

13 × 180 = 2340 °

Since the 15 sided polygon is regular, this total is shared equally among the 15 interior angles. Each interior angle must have a measure of

2340° ÷ 15 = 156 °each

Answer:

Step-by-step explanation:

dont know sorry

Answer:

1/5

Step-by-step explanation:

There are 5 heads so the provability of having one head is 1/5

horizontal line: x=9

vertical line: y=3

You can plug it into the application demos to see it visually just put y=3 on one line and x=9 on the other

Answer:

80

Step-by-step explanation:

Geoff's number is 80. We can figure this out by reversing the steps.

Instead of dividing, we can multiply 3 by 25 to get the number in which 5 was subtracted to get that number.

3 x 25 = 75

75 + 5 = 80

Therefore, Geoff's number is 80.

Answer:80

Step-by-step explanation:

Answer:

He has to buy 8 of course

Step-by-step explanation:

Answer:

the answer is y+2=(x-3). It wasn't clear what the slope was supposed to be but if it is -1 then the third option is correct. Hope this helps :)

Answer:

aaku is right its the 3rd option why are you people rating his answer 2 stars it caused me to get the answer wrong

Step-by-step explanation:

Given Information:

Point 1 =  (8, −3)

Point 2 =  (4, −7)

Required Information:

Distance between points = d = ?

Answer:

Distance between points = d = √32 = 5.657

Step-by-step explanation:

We are given two points,

(x₁, y₁) = (8, −3)

(x₂, y₂) = (4, −7)

We are asked to find the distance between these two points.

The distance is given by

[tex]d = \sqrt{(x_2 - x_1)^2 +(y_2 - y_1)^2 }[/tex]

Substitute the given coordinates into above equation

[tex]d = \sqrt{(x_2 - x_1)^2 +(y_2 - y_1)^2 } \\\\d = \sqrt{(4 - 8)^2 +(-7 - (-3))^2 } \\\\d = \sqrt{(-4)^2 +(-7 +3)^2 } \\\\d = \sqrt{(-4)^2 +(-4)^2 } \\\\d = \sqrt{16 +16 } \\\\d = \sqrt{32} \\\\d = 5.657[/tex]

Therefore, the distance between (8, −3) and (4, −7) is 5.657 units.

Answer:

32 square

Step-by-step explanation:

Answer:

Because is said

Step-by-step explanation:

C

Answer:

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

= 3x + 6

Step-by-step explanation:

Answer:

98 ft

Step-by-step explanation:

14x7

=98 ft

Answer:

98 ft

Step-by-step explanation:

Answer:

1/6 if the die is 6 sided

Step-by-step explanation:

it wold have a 1/6 chance to land on 3 if the die is 6 sided