Anna is in a cave 50 feet below the cave entrance. She descends 12 feet, then ascends 15 feet. Find her new position relative to the cave entrance. Anna's new position relative to the cave entrance is feet

Answer:

The height is 3.625ft.

Step-by-step explanation:

0.5x8xa=14.5

4a=14.5

a=14.5/4=3.625

Step-by-step explanation:

let angle be x

Step-by-step explanation:

relationship between perpendicular and hypotenuse is given by sin angle

sin x =p/h

sin x=13/26

x=sin-¹(13/26)=30°

2.relationship between perpendicular and base is given by tan angle

tan x =p/b

tan x =7/16

x=tan -¹(7/16)=23.63°

3.relationship between between perpendicular and base is given by tan angle

tan x =p/b

tanx=31/50

x=tan-¹(31/50)=31.8°

4.relationship between base and hypotenuse is given by cos angle

cos x =b/h

cos x=5/7

x=cos-1(5/7)=44.4°

5.relationship between perpendicular and hypotenuse is given by sin angle

sin x =p/h

sin x=4/14

x=sin-¹(4/14)=16.6

6..relationship between base and hypotenuse is given by cos angle

cos x=6/7

x=cos-¹(6/7)=31.0027

7.relationship between perpendicular and base is given by tan angle

.tanx=29/37

x=tan-¹(29/37)=38.09

8.relationship between perpendicular and hypotenuse is given by sin angle

.sin x=43/60

x=sin-¹(43/60)=45.78

9..relationship between base and hypotenuse is given by cos angle

cos x=32/44

x=cos-¹(32/44)=43.34

Answer:

6

Step-by-step explanation:

First subtract the fixed fee. 59-5=54

Divide 54 by 9.  

6

Answer:

150-50/6-2

100/4

25

Step-by-step explanation:

25 soda bottles the machine can make per minute.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

We have to use the two points (2, 50) (6, 150) shown to find the number of soda bottles the machine can make per minute.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

x₁=2, y₁=50, x₂=6, y₂=150

substitute in slope formula

Number of soda bottles=slope=150-50/6-2

=100/4

=25

Hence 25 soda bottles the machine can make per minute.

To learn more on slope of line click:

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Answer:x≥−5

Step-by-step explanation:

Answer:

f (x) = 4

f (x) = radical 3x-4

f (x) = 3/5x

Step-by-step explanation:

Hope this helped you.

Have a beautiful day!!

Answer:

(4b-5)^2

Step-by-step explanation:

I am assuming it's asking this? I'm not too sure.

Answer:

[tex](4b - 5 {)}^{2} [/tex]

Step-by-step explanation:

1) Rewrite it in the form a² - 2ab + b², where a = 4b and b=5.

[tex](4b)^{2} - 2(4b)(5) + {5}^{2} [/tex]

2) Use square of Difference: (a - b)² = a² - 2ab + b².

[tex](4b - 5)^{2} [/tex]

Therefor, the answer is ( 4b - 5)².

Answer:

8 3/4

Step-by-step explanation:

There are 5 jobs that required less than 2 1/2 gallons.

For the equation, you'll just be adding all these up

1 1/2 + 1 1/2 + 1 3/4 + 2 + 2

Which will give you 8 3/4

Answer:

Yes you could afford it

Step-by-step explanation:

Answer

yes.

Step-by-step explanation:

45% of the 500 dollar price comes down to $225, and with your $300, you can afford it.

Answer:

Step-by-step explanation:

Sum = -7

Product = 12

Factors = (-3) ; (-4)   { (-3) * (-4) = 12  and (-3) + (-4) = -7}

a² - 7a + 12 = a² -3a    - 4a + (-3)(-4)

                 = a(a - 3) - 4(a - 3)

                 = (a - 3)(a - 4)

Answer:

9

Step-by-step explanation:

Answer:

there are nine teachers

Step-by-step explanation:

Answer:

56.7

Step-by-step explanation:

Hello There!

Trigonometric Ratios

sin = opposite divided by hypotenuse

cos = adjacent divided by hypotenuse

tan = opposite divided by adjacent

we need to find x and we are given its opposite side length and the hypotenuse

so the trigonometric ratio we need to use is sin

knowing that sin = opposite side divided by hypotenuse we create an equation

[tex]sin(x)=\frac{51}{61}\\\frac{51}{61} = .8360655738\\arcsin(sinX)=x\\arcsin(.8360655738)=56.72695659[/tex]

our final step is to round to the nearest tenth of a degree

so we can conclude that the measure of angle A is 56.7

note: arcsin = inverse of sin

Answer:

56.7

Step-by-step explanation:

Proportion women /men = 2/7 = x/490 7x= 2· 490 :7

X = 2·70 = 140

Answer:

The answer is 165

Step-by-step explanation:

If I'm wrong I'm sorry

Answer:

250°

Step-by-step explanation:

Answer:

250

Step-by-step explanation:

I did it

Answer:

my guess is 2,3, and 1.

Step-by-step explanation:

in the ending it's always a finish of "definition of something"

After the given is always the substitution

and the angles forming a linear pair sum to 180 is after the substitution because you're now solving it.

maybe wrong but thats what i think the answer is.  

Answer:

n/-10=-120

n=1200

Step-by-step explanation:

Answer: 8 ft

Step-by-step explanation: Well since Meredith is 5 ft you will add 3 ft because she is 3 ft shorter than Tucker and we are talking about Tucker's height. If you add 3 ft then you would get 8 ft.

Answer:

Tucker is 8 feet tall.

Step-by-step explanation:

if she's 3 feet shorter then just add 3 feet to her normal height.

Answer:

1. 1=18°, 2=90°

2. 1=85°

3. 1=97°

4. 2=83°

5. 3=49°

6. 1=94°

7. 4=45°

8. 3=65°

9. 2=79°

10. 5=73°

11. 6=147°

12. 1=26°

13. 2=32°

Step-by-step explanation:

1. all angles of a triangle equal 180. 2 is 90 degrees because you can look across to find the symbol. Then you subtract 180 by 72 and 90 to get 18.

2. do the same thing as last time, 180 minus 40 and 55.

3. In order to figure this out, you need to have the angle 2. One you have 83, angles like this, together will add up to 360 if you put 2 of them together. 83×2=166. 360-166=194. 194/2=97.

4. To figure this out, you find the angle across from it because those are always the same. Follow the same process to subtract 39 and 58 from 180 to get 83.

5.Now that you have the angle 2 you can figure this one out as well, again, follow the process of subtracting the two opposite angles from 180 to get 49.

(This is taking really long to explain so if you have questions just ask.)

Answer:

x = 7

Step-by-step explanation:

3x+2x=7x

Complete question :

A newspaper report claims that 30% of all tea-drinkers prefer green tea to black tea. Dr. Huber is the office manager at a company with thousands of employees. He wonders if the newspaper's claim holds true at his company. To find out, Dr. Huber asks a simple random sample of 125 tea-drinking employees which the prefer: green tea of black tea. Here's Dr. Huber's null hypothesis: H_0 : The proportion of all tea-drinkers at the company that prefer green tea to black tea is...

What is an appropriate way for Dr. Huber to finish his null hypothesis?

A. ...equal to 30%

B. ...less than 30%

C. ...greater than 30%

D. ...not equal to 30%

Answer:

A. ...equal to 30%

Step-by-step explanation:

Given the incomplete hypothesis statement for the Null ;

The null hypothesis: H_0 is declared as : The proportion of all tea-drinkers at the company that prefer green tea to black tea equal 30

The alternative hypothesis on the other side is the opposite statement or hypothesis.

Answer:

[tex]h = 4\sqrt{3}[/tex]

Step-by-step explanation:

If the triangle is equilateral, it means that all the sides are the same. Since there are 3 sides in a triangle, each side is 24/3 = 8

Now, in order to find the height, we can use the pythagoeren theroem. Notice that the height bisects(splits the side) into two equal parts, which each part having the length 8/2 = 4

So we have [tex]h^2 + 4^2 = 8^2[/tex]

[tex]h^2 = 48[/tex]

[tex]h = 4\sqrt{3}[/tex]

Answer: c·1.5=3.6

Step-by-step explanation:

Answer:57ft

Step-by-step explanation:

104 divided by 2+ 5=57ft

yeah Sure I Have Captured your solution In Image. hope you understand it

Answer:

best song in the world is baby Shark

Answer:

Thats incorrect. 684+270=954. 654+ would be saying a number thats 654 or higher. But not stating the real total.

Step-by-step explanation:

Hope this helped!! :)