From the top of a tree a bird looks down on a field mouse at an angle of depression of 50°. If the field mouse is 40 meters from the base of the tree, find the vertical distance from the ground to the bird's eyes.

Answers

Answer 1

Answer:

The vertical distance from the ground to the bird's eyes is 47.67 m

Step-by-step explanation:

* Lets explain the situation of the problem

- There is a bird on the top of  a tree

- The bird looks down on a field mouse at an angle of depression of 50°

- The field mouse is 40 meters from the base of the tree

* Consider that the vertical distance from the ground to the bird's eyes,

 the distance from the field mouse to the base of the tree distance

 from the bird eyes to the field mouse formed a right triangle

- The hypotenuse is the distance from the bird eyes to the field mouse

- The horizontal side is the distance from the field mouse to the base

 of the tree

- The angle between the hypotenuse and the horizontal side is the

 angle of depression which = 50°

- The opposite side to the angle of measure 50° is the vertical distance

 from the ground to the bird's eyes

* Lets use trigonometry functions to find the vertical distance

∵ The length of the adjacent side to the angle of measure 50° is 40 m

∵ The length of the opposite side to the angle of measure 50° is h m

∵ tan Ф = opposite side to Ф ÷ adjacent side to Ф

∵ Ф = 50°

∴ tan 50° = h/40 ⇒ by using cross multiplication

∴ 40 tan 50° = h

∴ h = 47.67 m

* The vertical distance from the ground to the bird's eyes is 47.67 m

From The Top Of A Tree A Bird Looks Down On A Field Mouse At An Angle Of Depression Of 50. If The Field

Related Questions

Suppose a point at (2, 3) is translated to 7, -1). Which rule describes this translation?
O translate right 5, down 4
O translate left 5, up 4
O translate right 9, down 2
translate left 9, up 2

Answers

Answer:

translate right 5, down 4translate right 5, down 4

Step-by-step explanation:

translate right 5, down 4:  Note that the x-coordinate 2 becomes 7, and that the y-coordinate 3 becomes -1.

Answer:

From (2,3) translate 5 to the right and 4 down to get (7,-1).

Step-by-step explanation:

(x,y)→(x+5,y−4)

(2,3)→(2+5,3−4)

(2,3)→(7,-1)

Hope this helps :)

*Pls mark my answer Brainliest*

A hiking trail is 6 miles long. It has 4
exercise stations, spaced evenly along the
trail. What is the distance between each
exercise station?

Answers

Answer:

8800 ft apart

Step-by-step explanation:

1). Convert miles to feet.  6 2/3 x 5280 = 35200

2). Divide by 4.  35200/4 = 8800

If f(x) = 3х -2 and g(x) = 2х+4 , find (f - g)(x).
ОА. Эх? - 2х - в
ов. 2x – 3х -2
Ос. х2 +2
OD. зх. -2x+2

Answers

Answer:

(f - g)(x) = x - 6

Step-by-step explanation:

(f - g)(x) = f(x) - g(x)

We have f(x) =3x - 2 and g(x) = 2x + 4. Substitute:

(f - g)(x) = (3x - 2) - (2x + 4)

(f - g)(x) = 3x - 2 - 2x - 4             combine like terms

(f - g)(x) = (3x - 2x) + (-2 -4)

(f - g)(x) = x - 6

A sequence is defined recursively by the formula f(n + 1) = f(n) + 3 . The first term of the sequence is –4. What is the next term in the sequence?

–7

–1

1

7

Answers

Answer:

-1

Step-by-step explanation:

[tex]f(1)=-4\\\\f(n+1)=f(n)+3-\text{the next term is 3 bigger than the previous one}\\\\f(2)=-4+3=-1[/tex]

I have this question in Geometry that I need help with, can you help me solve it?

Find the coordinates of the midpoint of a segment having the given endpoints.
Q(1, -3), R(11, 5)

Answers

Answer(6,1)

Step-by-step explanation:

you need to use the midpoint formula

Help me please!!
A watering can dispenses water at the rate of 0.3 gallon per minute. The original volume of water in the can was 7 gallons. Which set of ordered pairs shows the volume of water in the can in gallons (y), as a function of time in minutes (x), from the first minute after the can starts dispensing water?

{(1, 6.7), (2, 6.4), (3, 6.1)}
{(1, 7.0), (2, 6.7), (3, 6.4)}
{(6.7, 1), (6.4, 2), (6.1, 3)}
{(7.0, 1), (6.7, 2), (6.4, 3)}

Answers

Answer:

{(1, 6.7) , (2, 6.4) , (3, 6.1)}

Step-by-step explanation:

A watering can dispenses water at the rate of 0.3 gallon per minute.

The original volume of water in the can was 7 gallons.

If you plot a graph of volume of water in the can (gallons) against time (minutes),

The set of points on the graph will be:

After 1 minute: (1, 7 - 0.3) = (1, 6,7)

After 2 minutes: (2, 7 - 0.6) = (2, 6.4)

After 3 minutes: (3, 7 - 0.9) = (3, 6.1)

i.e the set {(1, 6.7) , (2, 6.4) , (3, 6.1)}

The sum of two numbers is 21.
The second number is six times the first number.
Work out the two numbers.

Answers

Answer:

Pretend that x and y represents the 2 numbers that we need to find.

According to the information, we know that:

x + y = 21

6x = y

Replace y in the first equation with 6x (because they are equal to each other according to the second equation):

x + y = 21

x + 6x = 21

7x = 21

x = 21/7 = 3

Now have two ways to find y, both will give us the same result:

3 + y = 21 ⇔ y = 21 - 3 = 18

6 · 3 = y ⇔ y = 18

So the numbers that we need to find are 3 and 18.

Answer:

3 and 18.

Step-by-step explanation:

If one number is x then the other is 6x.

So, x + 6x = 21

7x = 21

x = 3.

The other number is 21 - 3 = 18.

Solve for q; 6n-5q/11t = c

Answers

Answer:

[tex]\large\boxed{q=\dfrac{6n-11ct}{5}}[/tex]

Step-by-step explanation:

[tex]\dfrac{6n-5q}{11t}=c\qquad\text{multiply both sides by}\ 11t\neq0\\\\6n-5q=11ct\qquad\text{subtract}\ 6n\ \text{from both sides}\\\\-5q=11ct-6n\qquad\text{change the signs}\\\\5q=6n-11ct\qquad\text{divide both sides by 5}\\\\q=\dfrac{6n-11ct}{5}[/tex]

5,5,5,7,7 mean median mode range

Answers

[tex]\text{Hey there!}[/tex]

[tex]\text{The mean is when you add up ALL your numbers then divide by the number}[/tex] [tex]\text{of numbers in the equation}[/tex]

[tex]\text{5+5+5+7+7=15+14=29}[/tex]

[tex]\text{We have 5 terms in this equation so divided 29 from 5}[/tex]

[tex]\bf{29\div5=5.8}[/tex]

[tex]\boxed{\text{Mean: 5.8}}\checkmark[/tex]

[tex]\text{Median is the middle number of the set of numbers}[/tex]

[tex]\boxed{\text{Median: 5}}\checkmark[/tex]

[tex]\text{Mode is when you see a number MORE THAN ONCE}[/tex]

[tex]\text{You see 5 three times but the 7 twice, so this will make it tricky to answer}[/tex]

[tex]\text{Since, you see 5 three times.. it could be your mode}[/tex]

[tex]\boxed{\text{Mode: 5}}\checkmark[/tex]

[tex]\text{Range is when subtract the HIGHEST NUMBER from the LOWEST NUMBER}[/tex]

[tex]\text{7-5=2}[/tex]

[tex]\boxed{\text{Range: 2}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

You are helping with some repairs at home. You drop a hammer and it hits the
floor at a speed of 8 feet per second. If the acceleration due to gravity (g) is
32 feet/second, how far above the ground (h) was the hammer when you
dropped it? Use the formula:
V = 2gh

Answers

Answer:

1 foot.

Step-by-step explanation

That is not the correct formula.  Correct is  V^2 = 2gh  where h = the height

so the equation is:

8^2 = 2*32* h

h = 64/ 64 = 1 foot.

Answer:

[tex]h=\frac{1}{8} feet[/tex]

Step-by-step explanation:

In order to be able to solve this problem you just have to clear the formula for height:

V=2gh

[tex]\frac{V}{2g}=H[/tex]

[tex]\frac{8}{64}=H[/tex]

[tex]\frac{1}{8}=H[/tex]

So the height from which the hammer is dropped is 1/8 feet.

The slope of the line below is 4. Which of the following is the point-slope form
of the line?

(-3,-4)
A. y+ 4 = 4(x+3)
B. Y-4 =-4(x-3)
C. y-4= 4(x-3)
D. Y+4 = -4(X+3)​

Answers

Answer:

A: y+4=4(x+3)

Step-by-step explanation:

Point-Slope Formula:

y-y1=m(x-x1)

Substitute:

y-(-4)=4(x-(-3))

-(-)=+

P: y+4=4(x+3)

Y-(-4) = 4(x-(-3))

Y+4 = 4(x+3)

The answer is A


Hope this helps!

A rectangle has a perimeter of 24 inches. If the width is 5 more than twice the length,
what are the dimensions of the rectangle?

Answers

Answer:

Step-by-step explanation:width is 11 length is 13

Find p(2)

Find p(2 or fewer)

Answers

Answer:

P(2)=0.021942 approximately

P(2 or fewer)=0.02711 approximately

Step-by-step explanation:

[tex] P(x)=(n choose x) *p^x * q^{n-x} [/tex]

x is the number of successes desired

p is probability of getting a success per trial

n is the number of trials

q is 1-p

So n=15 and p=.4 here

And you want to know P(2) which means x is 2

Plug in this information

[tex] P(2)=(15 \text{ choose } 2) *.4^2 * .6^{15-2} [/tex]

Just plug into calculator...  P(2)=0.021942 approximately

For p(2 or fewer) you just do P(0)+P(1)+P(2)

I already found P(2)

You need to find P(1)

Once you get P(1), add that result to 0.021942.

Try to do part b and I will tell you if you got it right or not.

So P(2 or less) is P(0)+P(1)+P(2)

So to complete this we need to find P(1) and almost forgot P(0)...

We already have P(2).

P(0)=(15 choose 0) *.4^0*.6^(15-0)=0.00047

P(1)=(15 choose 1)  *.4^1 *.6^(15-1)=.004702

Now                                         P(2)=0.021942

                                                 --------------------------add these

0.027114 approximately

What is C’ T’ if there was a rotation ?

Answers

Answer: The Answer Is 4) Hope it Helps!

Step-by-step explanation:

Question 10
Jur's car can travel 340 miles on 12 gallons. Jack's car can travel 390 miles on
16 gallons. Which person has the best mileage (miles per gallon) and what is
their mileage?​

Answers

Answer:

Jur's car

Step-by-step explanation:

Jur's car's mileage= 340/12=28.3333333333

Jack's car's mileage=390/16=24.375

brainliest if you are satisfied plz

Answer:

Jur 28 1/3 miles per gallon

Step-by-step explanation:

To find the miles per gallon, take the miles driven and divide by the gallons used.

Jur:  340/12 =28.333333 miles per gallon

Jack :  390/16 = 24.375 miles per gallon

Jur has better gas mileage because his number is higher

Please help I need it

Answers

Answer:

Yes. It's a right triangle.

Step-by-step explanation:

If a ≤ b < c are the length of the sides of a right triangle, then

a² + b² = c².

We have:

a =30 ft, b = 40 ft and c = 50 ft.

Check the equality:

L = 30² + 40² = 900 + 1600 = 2500

R = 50² = 2500

L = R

Can someone please help me out with this question??

Answers

Answer:

Step-by-step explanation:

1176 - 168 =1008   1176 + 1008= 2134

hours:2134 = 3 weeks

hours: 1176 = 2 weeks

Lorne subtracted 6x3 – 2x + 3 from –3x3 + 5x2 + 4x – 7. Use the drop-down menus to identify the steps Lorne used to find the difference.

Answers

Final answer:

Lorne subtracted the polynomial 6x³ − 2x + 3 from − 3x³ + 5x² + 4x − 7 by changing the signs of the second polynomial and combining like terms, resulting in the difference − 9x³ + 5x² + 6x − 10.

Explanation:

To find the difference between two polynomials, we subtract the corresponding terms of the second polynomial from the corresponding terms of the first. In the given problem, Lorne subtracted 6x³ − 2x + 3 from − 3x³ + 5x² + 4x − 7. To do this, we change the signs of the polynomial being subtracted and then combine like terms.

First, we write the problem with the second polynomial's signs changed: − 3x³ + 5x² + 4x − 7 - (6x³ − 2x + 3).

Next, we distribute the negative sign: − 3x³ + 5x² + 4x − 7 - 6x³ + 2x - 3.

Finally, we combine like terms: (− 3x³ − 6x³) + (5x²) + (4x + 2x) + (− 7 − 3).

The resulting difference is − 9x³ + 5x² + 6x − 10.

What is the equation, in point-slope form, of the line that is
perpendicular to the given line and passes through the
point (-4, -3)?

Answers

Answer:

Step-by-step explanation:

There is no given equation, so it is impossible to figure this out. I apologize.

Answer: I was told the third option

Step-by-step explanation:

Which is the approximate difference in the tenths between?

Answers

Answer:

0.4

Step-by-step explanation:

0.2 is too small,  and everything above 1.0 is too big, so by default, must be 0.4

Darwin bought 5 boxes of corned beef.a box contains one and a half dozen cans of corned beef.if he sold all the corned beef at 45.00 pesos each, how much did he earn....please answer with solution of AGONSA​

Answers

Hello!

The answer is:

Darwin earned 4050 pesos

Why?

To solve the problem, first, we need to calculate the total quantity of corned beef, and then, calculate the total earning amount.

We have a box of corned beef one and half dozen cans, or 1.5 zones.

So, calculating we have:

[tex]TotalBeef=Dozen*1.5=12*1.5=18[/tex]

We have that there are 18 cans of corned beef per box, now, if he sold all the 5 boxes of corned in 45.00 pesos each, we have:

[tex]TotalEarning=Cans*45.00(pesos)=18*5*45.00pesos=4050(pesos)[/tex]

Hence, we have that Darwin earned 4050 pesos.

Have a nice day!

30% of what equals 60​

Answers

Create an inequality
x/60 = 30/100
x = 200
CHECK ANSWER: 200 x .30 = 60

Answer:

30% of 200 equals 60.

Step-by-step explanation:

There is a formula we use to this specific type of problem. It's called the rule of 3.

30% - 60

100% - x

(60 * 100) / 30 =

6000 / 30 =

200

Step-by-step proof:

To prove our answer, what me must do is use another formula:

(200 * 30) / 100 = 60

6000 / 100 = 60

60 = 60

↑ Both numbers are equal (equation is true), therefore, our solution is correct.

Hope it helped,

BiologiaMagister

Find the zeros of the function.

f(x) = 9x^2 + 6x - 8

Answers

Answer:

[tex]\large\boxed{-\dfrac{4}{3}\ and\ \dfrac{2}{3}}[/tex]

Step-by-step explanation:

[tex]f(x)=9x^2+6x-8\\\\\text{The zeros:}\\\\9x^2+6x-8=0\\\\9x^2+12x-6x-8=0\\\\3x(3x+4)-2(3x+4)=0\\\\(3x+4)(3x-2)=0\iff3x+4=0\ \vee\ 3x-2=0\\\\3x+4=0\qquad\text{subtract 4 from both sides}\\3x=-4\qquad\text{divide both sides by 3}\\\boxed{x=-\dfrac{4}{3}}\\\\3x-2=0\qquad\text{add 2 to both sides}\\3x=2\qquad\text{divide both sides by 3}\\\boxed{x=\dfrac{2}{3}}[/tex]

Use the discriminant to describe the roots of each equation. Then select the best description.
7x2 + 3 = 8x
double root
real and rational root
real and irrational root
imaginary root

Answers

Answer:

imaginary root

Step-by-step explanation:

7x^2 + 3 = 8x

Subtract 8x from each side

7x^2 -8x+ 3 = 8x-8x

7x^2 -8x+3 =0

This is in the form ax^2 +bx+c

The discriminant is b^2 -4ac

a=7 b=-8 c=3

b^2-4ac  = (-8)^2 -4(7)(3) = 64 - 84 = -20

Since this is negative, we have imaginary roots

In the diagram, a circle centered at the origin, a right triangle, and the Pythagorean theorem are used to derive the equation of a circle, x2 + y2 = r2. If the center of the circle were moved from the origin to the point (h, k) and point P at (x, y) remains on the edge of the circle, which could represent the equation of the new circle? (h + x)2 + (k + y)2 = r2 (x – h)2 + (y – k)2 = r2 (k + x)2 + (h + y)2 = r2 (x – k)2 + (y – h)2 = r2

Answers

Answer:

(x – h)2 + (y – k)2 = r2

Step-by-step explanation:

If the center of the circle were moved from the origin to the point (h, k) and point P at (x, y) remains on the edge of the circle  the equation of the new circle

(x – h)2 + (y – k)2 = r2

Based on Pythagorean theorem, and the location of the center of the

circle, (h, k), the equation of the circle is represented by the option;

(x - h)² + (y - k)² = r²

How can the equation of the circle be found?

The general form of the equation of the circle is (x - h)² + (y - k)² = r²

Where;

(h, k) = The center of the circle

r  = The radius of the circle

A description of the equation of the circle is as follows;

With regard to a location on the edge (circumference), of the circle, (x, y),

where, the center of the circle is (h, k), by Pythagorean the sum of the

square of the length of the horizontal side, (x - h), and the square of the

vertical side (y - k), of the right triangle formed gives the square of the

radius of the circle.

Therefore, the equation of the new circle can be represented by the equation;

(x - h)² + (y - k)² = r²

The above equation is the general form of the equation of a circle.

Learn more about the equation of a circle here:

https://brainly.com/question/20863621


If you wanted to make the graph of y = 7x- 14 steeper, as well as shift the y
intercept of this line up, which equation could you use?

A. y= 5x - 18
B. y = 9x - 10
C. y= 5x – 10
D. y= 9x - 18

Answers

Answer:

Option B: y = 9x - 10.

Step-by-step explanation:

General equation of a straight line in the 2-D plane is given by:

y = mx + c; where m is the slope and c is the y-intercept.

The given equation of the line is y = 7x - 14; where m=7 and c=-14.

To make the line steeper, the gradient has to be increased. Therefore, Options A and C are incorrect because 5 is less than 7. This makes the Options B and D the remaining options because 9 is greater than 7.

To shift the y-intercept of this line up, the y-intercept has to be increased. Since -10 is greater than -14 and -18 is lesser than -14, therefore the latter option (Option D) is the incorrect option. So the correct answer is Option B: y = 9x - 10!!!

What is the length of each leg of the triangle?

Answers

Answer:

the answer you selected is correct

Step-by-step explanation:

this is a special right triangle. to find the other sides that will be equal to each other you can divide by square root of two so then you have to put the square root in the numerator and so you multiply by square root of 2 over square root of 2 which equals one technically so then you get 22 square root of 2 over 2 which simplifies to 11 square root over two  

What are possible outcome of a spin of the spinner

Answers

Answer:

Step-by-step explanation:

it would depend on how many numbers are on the spinner like if their is 6 numbers on the spinner and if your trying to get a 4 then it would be 1/6.

Hope my answer has helped you!

Factor the following expression.
27y3 – 343

a. (3y + 7)(9y2 + 2ly + 49)
b. (3y – 7)(9y2 + 2ly + 49)
c. (3y – 7)(932 – 217 + 49)
D. (3y + 7)(92 – 2ly + 49)

Answers

Answer:

b

Step-by-step explanation:

use formula of a^3-b^3

Answer:

D

Step-by-step explanation:

(3y - 7) (9y^2 + 21y + 49)

let me know if it's right

#platolivesmatter

Factor the polynomial.
3x^4 +6x^3 + 9x^2

Answers

Answer:

3 x^2 (x^2 + 2 x + 3)

Step-by-step explanation:

Factor the following:

3 x^4 + 6 x^3 + 9 x^2

Hint: | Factor common terms out of 3 x^4 + 6 x^3 + 9 x^2.

Factor 3 x^2 out of 3 x^4 + 6 x^3 + 9 x^2:

Answer:  3 x^2 (x^2 + 2 x + 3)

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