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A fire department's longest ladder is 110 feet long, and the safety regulation states
that they can use it for rescues up to 100 feet off the ground. What is the maximum
safe angle of elevation for the rescue ladder?

Also can you guys draw a picture of the right triangle and show work

To determine 1) the proportions of the populations for the different schools for the year 2015-2016, and 2) the proportion of the School of Nursing enrollment for the three school years, the following calculations must be made:

Therefore, 1) in 2015-2016, 8.54% of students enrolled in AM, 25.89% in dentistry, 5.19% in ELAMS, 14.99% in Med. Tech, 1.37% in nursing, 12.49% in NHM, 4.69% in optometry, 15.61% in pharmacy, 7.89% in Sci. Tech, and 3.29% in Grad. Sch.; and 2) the proportion of the School of Nursing enrollment for the three school years was 1.37%, 1.20% and 1.06% respectively.

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Answer:

Vertex: (0, -4)

Graph: I can't share a link so you can go to desmos and paste your equation

Step-by-step explanation:

the vertex is where the axis of symmetry meets with the parabola.

The axis of symmetry is (-b)/(2a) which equals 0 because there is no linear x value

therefore,

y=3(0)^2-4

=-4

so the vertex is (0, -4)

to find the other points, list two x values larger than 0 and substitute into the equation to find y

list two x values smaller than 0 and substitute to find the points on the left of the vertex.

7.
We are given:
abcissa(x-coordinate) of given point: -6
let's say the ordinate(y-coordinate) of the given point is y
distance of the given point from (1,3) = √74

we can rewrite the given information as:
the distance between the points (-6,y) and (1,3) is √74

finding y:
we know that in order to find the distance between any two points, we use the distance formula, which goes as follows:
distance = [tex]\sqrt{(x_1-x_2)^2 + (y_1 - y_2)^2}[/tex]

from the data we are given, let's say that:
(x₁, y₁) = (-6, y)
(x₂, y₂) = (1, 3)
(you can use them interchangably, there is no restriction on which point gets to be labelled as 1)

plugging this in the distance formula, we get:
distance  = [tex]\sqrt{(-6-1)^2 + (y - 3)^2}[/tex]
we are also given that the distance is √74,

√74 = [tex]\sqrt{(-7)^2 + (y - 3)^2}[/tex]

squaring both sides to get rid of the square root

74 = (-7)² + (y - 3)²
74 = 49 + y² + (3)² -2(y)(3)         (using the "square of sum" identity)
74 = 49 + y² + 9 - 6y
74 = 58 + y² - 6y
y² - 6y + 58 - 74 = 0                   (subtracting 74 from both sides)
y² - 6y - 16 = 0
y² - 8y + 2y - 16 = 0                   (splitting the middle term)
y(y - 8) + 2(y - 8) = 0
(y + 2)(y - 8) = 0
which means that:
y + 2 = 0    ,     y - 8 = 0
y = -2 , y = 8
These are the two possible values of y

8.
We are given:
points A and B
A: (3, y)
B: (6, 2)
distance between A and B = 5 units
finding possible values of y
here, we will use the distance formula again to find the value of y
distance formula: [tex]\sqrt{(x_a-x_b)^2 + (y_a - y_b)^2}[/tex]
plugging the given values, we get:
5 = [tex]\sqrt{(3-6)^2 + (y - 2)^2}[/tex]
25 = (3 - 6)² + (y - 2)²              (squaring both sides)
25 = (-3)² + (y - 2)²
25 = 9 + y² + (2)² - 2(y)(2)
25 = 9 + y² + 4 - 4y
y² - 4y + 9 + 4 - 25 = 0            (subtracting 25 from both sides)
y² - 4y - 12 = 0
y² - 6y + 2y - 12 = 0                 (splitting the middle term)
y(y - 6) + 2(y - 6) = 0
(y + 2)(y - 6) = 0

y + 2 = 0   ,    y - 6 = 0
y = - 2  ,   y = 6
These are the two possible values of y

Answer:

y=2, x=5

Step-by-step explanation:

we can subtract the system of equations to eliminate x and to find the value of 1 y

x+3y=11

minus

x+2y+9

=y=2, now we can replace the value y (2) into either equation to find the value of x

x+3(2)=11

x+6=11

x=5

Answer:

B) A market equilibrium price less than $30

Step-by-step explanation:

When the supply curve increases, it shifts to the right, making the market equilibrium price lower because the oversupply of the quantity causes demand to drive down.

Answer:

12, -4, -8

Step-by-step explanation:

1) c=12

c+3=15 subtract 3 from each side. c=12

2) b= -4

-7+b=-11 add 7 to each side. b = -4

3) d= -8

-4d=32 divide each side by negative 4. d = -8

Answer:

179g

Step-by-step explanation:

1ounce = 28g

7 ounces = 196g

375g - 196g

179g

Answer:

3x2+(24)(x-(17)

############

Step-by-step explanation:

[tex]225 \times \frac{\pi}{180} = 3.927 \: radianes[/tex]

Answer:

6. Which displays the properties of the selected object?

a) Timeline

b) Property Inspector Box

c) Tools Panel

d) Stage

7. What is the extension of the Animate CC file ?

a) .mp3

b) .fls

c) .xls

d) .fla

8. This is a list of clear instructions for solving a problem.

a) Algorithm

b) Abstraction

c) Decomposition

d) Analysis

9. This is a diagrammatic representation of steps to solve a problem.

a) Looping

b) Flowlines

c) Flowchart

d) Algorithm

10. The ____ tool is used to draw star shapes.

a) Rectangle

b) Oval

c) Square

d) Polygon

Answer:

6 km

Step-by-step explanation:

1 meter = 1/1000 km

(1 meter = 1/1000 km) x 1000

1000 meters = 1 km

6000 meters = ?

1 x 6000m = 1000 x ?

6000 = 1000 x 6

6000/1000 = 1000 x 6/1000

6 = 6

Both sides divided by 1000 are 6, so the answer is 6 km.

Answer:

Tennessee

Step-by-step explanation:

Answer:

54 degrees
54 degrees
72 degrees

or

54 degrees
63 degrees
63 degrees

an isosceles triangle has 2 equal angles, and the angles of a triangle always add up to 180 degrees

Answer:

the value of h is 16

Answer: 230

Step-by-step explanation:

Answer:

230.582

Step-by-step explanation:

math, sorry if its wrong im not good with math

Answer:

Alright breakdown

Step-by-step explanation:

#7. Constant of Proportionality.

divide the 276 by the 184: 276 / 184

which will give you an answer: 1.5

now, multiply 208 by 1.5: 312

Answer: YES

#8 same context, 300 / 425: 0.70

680 x 0.70 : 476

Answer NO

Answer:

C) 500.83

Step-by-step explanation:

Surface area for a cylinder formula:

SA = 2πrh + 2πr²

Given:

d = 11

r = d/2 = 11/2 = 5.5

h = 9

Work:

SA = 2πrh + 2πr²

SA = 2(3.14)(5.5)(9) + 2(3.14)(5.5)²

SA = 310.86 + 2(3.14)(30.25)

SA = 310.86 + 189.97

SA = 500.83

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

[tex]m = \frac{rise}{run} = \frac{y2 - y1}{x2 - x1} [/tex]

please like

Answer:

  undefined

Step-by-step explanation:

Slope is a measure of the vertical change relative to the horizontal change. On an x-y graph, it will be the difference in y-coordinates divided by the corresponding difference in x-coordinates. It is often referred to using the letter m.

  m = (y2 -y1)/(x2 -x1) . . . . . slope of line between points (x1, y1) and (x2, y2)

It does not matter which points you call point 1 and point 2.

__

For the points given on the graph we can compute the slope to be ...

  m = (2 -(-3))/(-1 -(-1)) = 5/0

The zero in the denominator makes this value "undefined." So, we say the slope of any vertical line is "undefined."

Step-by-step explanation:

take all numbers, and add all of the numbers under 25 first, then add the ones over 25, then add the sum of both:

1

17

14

= 32

29

33

= 62

32 + 62 = 94

Step-by-step explanation:

"find" ?

the equations are already there.

do you mean solve in the sense of finding the zero points of the equations ?

if so,

the general solution of a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

3(3x² + 1) = 12x

9x² + 3 = 12 x

9x² - 12x + 3 = 0

a = 9

b = -12

c = 3

x = (12 ± sqrt(144 - 4×9×3))/18 = (12 ± sqrt(144-108))/18 =

= (12 ± sqrt(36))/18 = (12 ± 6)/18

x1 = (12 + 6) / 18 = 18/18 = 1

x2 = (12 - 6) / 18 = 6/18 = 1/3 = 0.3333333...

9y² - 12y - 14 = 0

same thing, we just use y instead of x.

a = 9

b = -12

c = -14

y = (12 ± sqrt(144 - 4×9×-14))/18 = (12 ± sqrt(144+504)/18 =

= (12 ± sqrt(648))/18 = (12 ± sqrt(324×2))/18 =

= (12 ± 18×sqrt(2))/18

y1 = (12 + 18×sqrt(2))/18 = 12/18 + sqrt(2) = 2/3 + sqrt(2) =

= 0.942809042...

y2 = (12 - 18×sqrt(2))/18 = 12/18 - sqrt(2) = 2/3 - sqrt(2) =

= -0.747546896...

It took Lin's dad about 3.6 miles for him to meet up with his family.

Speed is the ratio of total distance travelled to total time taken. It is given by:

Speed = distance / time

Let d represent the distance travelled by Lin to meet up with his family. Hence:

Total time for Lin's Dad = d/0.24 + 5

Total time for Lin = d/0.18

Hence:

d/0.24 + 5 = d/0.18

100d/24 + 5 = 100d/18

1800d + 2160 = 2400d

d = 3.6 miles

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Answer:

5

Step-by-step explanation:

3x5 = 15

20-15 = 5

Answer:

5

Step-by-step explanation:

20-3x5=

3x5=15

20-15=5

hope this helps!!

Answer:

12 cups

Step-by-step explanation:

You multiply the the quarts amount by 4

Answer:

[tex] \huge{ \boxed{ \tt - 84}}[/tex]

Step-by-step explanation:

[tex] \sf \rightarrowtail - 42(y + 31)[/tex]

[tex] \\ \\ [/tex]

[tex] \sf \rightarrowtail - 42( - 29 + 31)[/tex]

[tex] \\ \\ [/tex]

[tex] \sf \rightarrowtail - 42(2)[/tex]

[tex] \\ \\ [/tex]

[tex] \sf \rightarrowtail - 42 \times 2[/tex]

[tex] \\ \\ [/tex]

[tex] \sf \rightarrowtail - 84[/tex]

Answer:

If john as 5 apples and has 6 friends That what an apple. How many apples will everybody get.

Step-by-step explanation:

Step-by-step explanation:

total capacity =1550l

water drained rate= 28%

amt of water drained =28% of 1550 =434l

now,

water left the tank =1550l-434l =1116l