From the hay loft door, Ted sees his dog on the ground. The angle of depression of the dog is 40º. Ted's eye level is 16 feet above the ground. How many feet must the dog walk to reach the open barn door directly below Ted (to the nearest foot)?

Answers

Answer 1

Answer: 19 feet

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.  

Tan α = opposite side / adjacent side  

Where α is the angle of depression of the dog, the opposite side (16) is Ted's eye level above the ground, and the adjacent side (x) is the distance between the dog and the barn door.

Replacing with the values given:  

tan40 = 16/x

Solving for x  

x =16/tan40

x= 19 ft  

Feel free to ask for more if needed or if you did not understand something.  

From The Hay Loft Door, Ted Sees His Dog On The Ground. The Angle Of Depression Of The Dog Is 40. Ted's

Related Questions

Put these values in order
from least to greatest:

6/5, 0.3815, 97%

Answers

Answer:

6/5, 0.3815, 97%

Step-by-step explanation:

6/5 = 1.2 = 12%

0.3815 * 100 = 38.15%

97%

Answer:

.3815, 97%, 6/5

Step-by-step explanation:

To keep this simple, just convert all of them into decimals.  6/5= 1.2 if you divide it.  97%= 0.97 because you divide the percent by 100 to get to the decimal.  And finally, .3815 is already a decimal.

Now, you just sort it out.  1.2 is the largest number because it is the only one that is greater than 1.  So that would go last

Now you compare .97 and .3815.  To find out which one is greater, look in the tenths place, or the first digit after the decimal.  9 is obviously greater than 3 so .97 is greater than .3815.

Using this info we found, the smallest is .3815, then 97%, then 6/5

Can i get some help. To clarify this is homework not a test or etc...

Answers

Answer:

105/24

Step-by-step explanation:

The volume of a rectangular prism is length*width*height.

3/2 * 5/4 * 7/3 would be 15/8*7/3 which is 105/24, which is the fourth option.

[tex]answer = \frac{105}{24} \\ solution \\ volume \: of \: rectangular \: prism \\ = l \times b \times h \\ = \frac{3}{2} \times \frac{5}{4} \times \frac{7}{3 } \\ = \frac{105}{24} \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Which table shows a linear function?
х
-4
-1
1
8
2
2
4
6
2
3
Х
-6
-2
-16
-8
4
-2
2
1
3
Х
0
-2.
2
7

Answers

Answer:

the second table

Step-by-step explanation:

if you plot all the points on a graph, the second function is the only one with a linear function. a linear function is a straight line.

What’s the surface area of this prism?

Answers

Answer:

580

Step-by-step explanation:

1/2 6x10 x2 for the two bases is 60. for the rams is 20x8 x2 cause there is two ramps. then the bottom is 10 x 20 is 200. add them all up and get 580.

Answer:

760 m^2

Step-by-step explanation:

Seining bought 6 apples for $1.80. Jane brought 5 apples for $1.50.Are the rates in proportion

Answers

Answer:

Yes

Step-by-step explanation:

6 : 1.8 = 1 : 0.3

5 : 1.5 = 1 : 0.3

Someone help me with this please :)

Answers

Answer:

Order of Opperation:

1=  67

2= 255

3= 42

4= -37

5= 55

6= 4

Evaluate Expression:

1= -1

2= 0

3= 5

4= 6

integer opperation:

1. 6

2. -20

3. 18

4. -12

5. -13

6. -15

7. -5

8. 96

9. 0

10. 18

11. undefined or 0/6

12. -56

Conversion Table:

50%

25%

3/4 AND .75

33%

2 5/10 (If u need simplified it would be 1 1/2) AND 2.5%

1 5/10 (If u need simplified it would be 1 1/2) AND 1.5

Points A, B, C, D, E, F, and G lie on the graph of function g( x ) as shown on the coordinate grid.
All the coordinates of the marked points are integers. Drag and drop numbers into the boxes to complete each form of the function
numbers to boxes:
-5, 0, 3, 4, 5, 6, 7

Answers

Answer:

[tex]g(x)=-(x-5)^2+4\\=-(x-7)(x-3)[/tex]

Step-by-step explanation:

Given: coordinate grid

To find: the missing number

Solution:

Equation of the parabola that open downwards and is symmetric about y-axis is [tex](x-h)^2=-4p(y-k)[/tex] where [tex](h,k)[/tex] denotes the vertex and focus is at [tex](h,k+p)[/tex]

[tex]g(x)=-(x-.....\,\,\,\,)^2+\left ( ....... \right )\\(x-.....\,\,\,\,)^2=-\left ( g(x)-(....) \right )[/tex]

[tex](x-h)^2=-\left ( g(x)-(k) \right )[/tex]

From the graph, vertex is [tex](5,4)[/tex]. Put [tex](h,k)=(5,4)[/tex]

[tex]g(x)=-(x-5)^2+4\\=-\left [ (x-5)^2-2^2 \right ][/tex]

Use formula [tex]a^2-b^2=(a+b)(a-b)[/tex]

So,

[tex]g(x)=-\left [ (x-5)^2-2^2 \right ]\\=-\left [ (x-5-2)(x-5+2) \right ]\\=-(x-7)(x-3)[/tex]

Spiral Review: Find the ara of the triangle... Write the formula and plug in the values... Write your answer with units and box your answer

Answers

Answer:

300 km²

Step-by-step explanation:

Area of the triangle = 1/2 × base × height

Area = 1/2 × 20 × 30

Area = 300 km²

Answer:

[tex]300 {km}^{2} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!



By studying the historical context of a story, you can better understand:

Answers

Answer:

Everything

Step-by-step explanation:

By knowing the context, you could tell what just happened and could even predict what's going to happen.

Which linear equation has no solution? 23(9x+6)=6x+4 5x+12=5x−7 4x+7=3x+7 −3(2x−5)=15−6x

Answers

Answer:

5x+12=5x-7

Step-by-step explanation:

If both x's on each are the same number, but with different constants, then the equation is unsolvable. If 5x+12=y, then 5x-7 can't also equal y because they are two different equations.

With all other equations, although some come out irrational, they are solvable and have a solution to them.

Pls help with this, I have a lot of work and I'm trying to get it done faster​

Answers

Answer:

C = 3b

Step-by-step explanation:

If each bottle costs 3 dollars, then the cost of b bottles would be 3b.

my dad's old baseball card increased in value from $400 to $500. what was the percent increase?

Answers

Answer:

25%

Step-by-step explanation:

pls help i give u brainliest​

Answers

Answer:

The answer is 324π m².

Step-by-step explanation:

Given that the surface area of sphere formula is S.A = 4×π×r² where r is radius. The diameter of sphere is 18m so you have to divide it by 2 to find it's radius :

[tex]radius = diameter \div 2[/tex]

[tex]radius = 18 \div 2[/tex]

[tex]radius = 9m[/tex]

Then substitute into the formula :

[tex]s.a = 4 \times \pi \times {r}^{2} [/tex]

[tex]let \: r = 9[/tex]

[tex]s.a = 4 \times \pi \times {9}^{2} [/tex]

[tex]s.a = 4 \times \pi \times 81[/tex]

[tex]s.a = 324\pi {m}^{2} [/tex]

Answer:

The answer is 324π m².

Step-by-step explanation:

Given that the surface area of sphere formula is S.A = 4×π×r² where r is radius. The diameter of sphere is 18m so you have to divide it by 2 to find it's radius

Can anybody answer these questions. By the way the questions are seperated in different screenshots that i put.

Answers

Answer:

Sorry i can only answer one but the first one of the trapizoid is 76

Step-by-step explanation:

see picture

all help is appreciated​

Answers

Answer:

No, 16i^2+8i+15

Step-by-step explanation:

No, she did not square it properly.

(a+b)^2=a^2+2ab+b^2

So in this case, a=3, and b=4i

(3+4i)^2

= 3^2+2(3*4i)+(4i)^2

=9+6+8i+16i^2

=15+8i+16i^2

= 16i^2+8i+15

Jordan prepares 200 name tags to use at a meeting. The number for each color of the name tag is described below.

35%of the name tags are blue

3/8 of the name tags are yellow

*all of the remaining name tags are red

how many of Jordans name tags are red ?

A)55

B)90

C)110

D)145

please help thxs!! due today 11:00 pm

Answers

Answer:

The answer would be A. 55.

Step-by-step explanation:

For the 35% you would take your 200 and divide it by 2 and have two 100's. Since 35% is out of 100% you could take 35 from each 100 and add them together to get 70.

For the 3/8 you would divide and get .375 then you would multiply that by 200 which would give you 75 yellow tags. Then you would add 75 and 70 and get 145. Then subtract 145 from 200 to get 55. Therefore there would be 55 red tags.

The number of Jordan's tags that are red are; A: 55 tags

How to calculate proportions?

35% of the 200 tags are blue. Thus;

Number of blue tags = 35% * 200 = 70 tags

3/8 of the 200 name tags are yellow. Thus;

Number of yellow tags = 3/8 * 200 = 75 tags

The remaining tags are red. Thus;

Number of red tags = 200 - (75 + 70)

Number of red tags = 55 tags

Read more about Proportions at; https://brainly.com/question/1781657

6. if Scott Hoff has a balance of $429.50 on a credit card that charges a finance charge computed at 2.5%, what is the new balance? Round your answer to the nearest cent. A $432.00 C $440.24 B $486.98 D $455.35
NEED AN ANSWER RN PLSS

Answers

C. $440.24 is the correct answer.

Answer:

C. $440.24 is your answer.

Hope this helps!

which choice is equivalent to the quotient below?​

Answers

Answer:

A.) 3

Step-by-step explanation:

Let's start with the numerator:

√36/√4

√36 = ?

We know that 36 is a perfect square, or the product of one number multiplied by itself.

6 x 6 = 36

So, √36 = 6

Let's look at the denominator:

√36/√4

√4 = ?

We know that 4 is also a perfect square.

2 x 2 = 4

So, √4 = 2

Now we have the numerator: 6

And the denominator: 2

Fraction: 6/2

If we simplify this fraction, we are left with 3 because 6 divided by 2 is 3.

Therefore, the first answer is correct.

Answer:

3

Step-by-step explanation:

Which set of sides lengths will NOT form a
triangle?
A 3 ft., 4 ft.,5 ft.
B 10 ft., 12 ft., 20 ft.
C 1 ft.,2 ft 3 ft.
D 9 ft., 2 ft.,9 ft.

Answers

Most likely the answer is D

Answer:

The answer is D

Step-by-step explanation:

If you are working with right triangles, all of the other answers make a right triangle but if you're working with all triangles, all of the above can make a triangle.

Please help with this

Answers

Answer:

2,0

Step-by-step explanation:

So since this is a plane what i remember is that since there are three triangles c is directly at -4 and a is directly at 2 and b is direclty at 4.

Add them up gives you 4+2+-4

4-4=0

2+0=2

CORRECT ANSWER GETS BRAINLIEST!!! PLZ ANSWER FAST!!

Answers

what is it?? Did you forget to add a photo or something lol

Answer:

You Forgot the picture lol

What is the sum of the interior angles in the polygon below? Show and explain your work.

Answers

Answer:

HEXAGON:

Using the same methods as for hexagons to the right (I'll let you do the pictures)... 

To find the sum of the interior angles of a dodecagon, divide it up into triangles... There are ten triangles...  Because the sum of the angles of each triangle is 180 degrees...  We get

So, the sum of the interior angles of a dodecagon is 1800 degrees.

Regular Dodecagons:The properties of regular dodecagons:

All sides are the same length (congruent) and all interior angles are the same size (congruent).

To find the measure of the angles, we know that the sum of all the angles is 1800 degrees (from above)...  And there are twelve angles...

So, the measure of the interior angle of a regular dodecagon is 150 degrees.

The measure of the central angles of a regular dodecagon:

To find the measure of the central angle of a regular dodecagon, make a circle in the middle (I'll let you do the picture)...  A circle is 360 degrees around...  Divide that by twelve angles...

So, the measure of the central angle of a regular dodecagon is 30 degrees.

What is meant by the term financial planning?
a Long-term goals are reached over an extended period of time, so your current income does not affect
them.
b. It is creating a road map of everything you do with your money.
c. It is hoping you will have enough money to pay all your bills on time.
d. If your income exceeds your expenses, you will be able to save money for the future.
Please select the best answer from the choices provided
B
ОООО
D
Save and Exit
Next
Submit
Matkathisandrum

Answers

Answer:

a Long-term goals are reached over an extended period of time, so your current income does not affect

them.

Step-by-step explanation:

Financial planning refers to long term goals that are planned and reached over an extended period of time to keep one solvent in cases of emergency without having a direct effect on current income.

Solvency simply means having more assets than liabilities to be able to stay afloat of one's debts.

How would you differentiate y= 1/x -4ln(x)

Answers

Answer:

y=1x−4(ln(x))y=1x−4(ln(x)))

Step-by-step explanation:

Xmin= -10

Xmax= 10

Ymin=-10

Ymax= 10

Graph

Hope this helps.

Answer:

Step-by-step explanation:

no y-intercept

I need help tell me the answer plz

Answers

70,000

Answer:

round 5 up which makes 9 a 10 which makes 6 a 7

Answer:

70000

Step-by-step explanation:

You would look at the number that is in the hundreds place vaule, which is 500 in this case. Whenever a number is above or equal to 5, you would round up. You would round the number to the next thousand, which is 70000.

Find the range of the data,
Scores: 90, 89, 87, 79, 89, 84, 80, 85, 85, 79

Answers

Answer:

11

Step-by-step explanation:

Range of the data = highest score - lowest score

= 90 - 79 = 11

Answer:

Range__ higher -smaller

Step-by-step explanation:

90-79=11

Which of the following points represents the center of a circle whose
equation is (x-3)2 + (y-2)2 = 16?

A. (3,-2)

B. (3,2)

C. (-3,-2)

D. (-3,2)

Answers

Answer:

B

Step-by-step explanation:

(x-3)² + (y-2)² = 16

(x-h)²+(y-k)²=16

r=4

h=3

k=2

center is at the point (h, k) ⇒ (3, 2)

Dante surveyed students to see how they feel about a proposal to choose a new school mascot. The frequency table shows the results. What question did Dante likely ask? Is this a statistical question?

Answers

Answer:

Dante most likely asked the students if they should change the school mascot. This is a statistical question because the question can be answered by data that varies.

Step-by-step explanation:

You can see that the results for this question are either "yes" or "no". This means that Dante asked a question with a yes or no answer related to changing the mascot. This question was probably something along the lines of whether or not the mascot should be changed.

The definition of a statistical question is "a question that should have different answers". Therefore, this is a statistical question because the answers will be different from student to student.

Hope this helps!

Which graph best represents the equation shown below?8x + 5y = 1

Answers

Answer:

linear graph

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

did the test

The equation of the straight line that passes through the points (0,0) and (1,4) is,
a) y = 3x + 2
b) y = -x + 4
c) y = -4x + 2
d) y = 4x

Answers

Answer:

d

Step-by-step explanation:

The equation of a line which passes through the origin is

y = mx ( where m is the slope )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 0 ) and (x₂, y₂ ) = (1, 4)

m = [tex]\frac{4-0}{1-0}[/tex] = 4 , thus

y = 4x → d

Answer:

D

Step-by-step explanation:

Please refer to picture attached.

The best method to deduce if the graph passes through the points mentioned, just substitute the values of x from the point into the equation to deduce if the y value is the same as the value in the point.

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