Travis spies an owl in a tall tree. He estimates the height of the tree to be 85 feet and the angle of elevation to the bird from where he stands to be 68°. The leaves on the tree make it difficult for Travis to watch the bird, so he takes several steps away from the tree to get a better view. He now estimates his angle of elevation to be 41°.

How many feet did Travis step back to gain a better view of the bird? Round your answer to the nearest hundredth of a foot.

Answer:

No

Step-by-step explanation:

To find point (3, -1), begin at the origin. Move 3 units to the right, then 1 unit down.  

Neither of the lines go through the point (3, -1)

Answer:

No

Step-by-step explanation:

No, (3, -1) is not a solution to the system. Because, lines are not intersecting at this point.

Actually, both the lines are going parallel to each other. Hence, there will be no solution.

A(0;4); x=0, y=4; m=5

General equation of linear function is [tex]y=mx+b[/tex] ⇒

[tex]4=0\times x+b\\b=4[/tex]

Answer: [tex]y=5x+4[/tex]

Answer:

it would take him to 7 hours drive 504 miles.

Step-by-step explanation:

360 miles → 5 hours

1 miles → (5/360) hours

504 miles → [(5/360)*504] hours

504 miles → 7 hours

Answer:

Step-by-step explanation:

This is a proportional relationship.

Use ratios:

Answer:

Solution

Given,

In right angle triangle

AB=28

AC=18

BC = ?

By using Pythagoras therom

H square =B square +P square

28 = 18 + P

28-18 = P

10 = P

therefore BC = 10

Answer:

  280.2 m²

Step-by-step explanation:

The height of the triangle is found using the Pythagorean theorem.

  a² +b² = c²

  13² +b² = 20²

  b² = 20² -13² = 400 -169 = 231

  b = √231 ≈ 15.199 . . . . meters

The area of the figure is 1/4 the area of a circle with radius √231 together with the area of the triangle with base 13 and height √231.

  Triangle Area = 1/2bh

  = 1/2(13)(15.199) ≈ 98.791 . . . . square meters

__

The area of the 1/4 circle is ...

  Sector Area = (1/4)πr² = 1/4π(√231)² = (231π)/4 ≈ 181.427 . . . . square meters

__

The figure area is the sum of the triangle and quarter circle areas:

  figure area = 98.791 m² +181.427 m² ≈ 280.2 m²

_____

Additional comment

If you use 3.14 for π, then the total will be 280.1 m².

Answer:

280.2 sq meters

Step-by-step explanation:

First you have to find the third side of the triangle because it is the height of the triangle and also the radius of the circle. Using Pythagorean theorem:

x^2 + 13^2 = 20^2

x^2 + 169 = 400

x^2 = 400 - 169

x^2 = 231

x = sqroot(231)

x = 15.2

Area of triangle:

A = 1/2 b•h

= 1/2•13•15.2

= 98.8

Area of a circle:

A = pi•r^2

Area of a 1/4 Circle:

A = 1/4•pi•r^2

=1/4(3.14)(15.2)^2

= 181.4

Area of Whole Shape:

98.8 + 181.4

= 280.2 sq meter

Answer:

a = 156°

b = 132°

c = 108°

Step-by-step explanation:

The sum of the exterior angles of a polygon equals 360°. The sum of an interior and exterior angle equals 180°. There are two missing exterior angles that you need to find the measure of so we can find the value of x.

First exterior angle is with the 82° interior angle. Subtract from 180 to find the exterior angle.

180 - 82 = 98°

The second exterior angle is with the 134° interior angle. Subtract from 180 to find the exterior angle.

180 - 134 = 46°

Now add all the exterior angles together and set them equal to 360.

x + 2x + 3x +72 + 98 + 46 = 360

6x + 216 = 360

6x + 216 -216 = 360 -216

6x = 144

6x/6 = 144/6

x = 24

No find the exterior angles then subtract each one from 180°.

To find a.

a + x = 180

a + 24 = 180

a + 24 - 24 = 180 - 24

a = 156°

To find b.

b + 2x = 180

b + 2(24) = 180

b + 48 = 180

b + 48 - 48 = 180 - 48

b = 132°

To find c.

c + 3x = 180

c + 3(24) = 180

c + 72 = 180

c + 72 - 72 = 180 -72

c = 108°

-2 and 4/5 ..............................

Simplifying, we get

-3 1/2 is -3.5

1 1/4 is 1.25

so, -3.5/1.25=

-2.8

Answer:

49

Step-by-step explanation:

Answer:

1 less-than x less-than 2

b.

0 less-than x less-than 3

c.

1 greater-than x greater-than 2

d.

0 greater-than x greater-than 3

Answer:

The Answer is A.  1 < x < 2

Step-by-step explanation:

Answer:

31 ft.

Step-by-step explanation:

so 52.5% leaves 47.5% left. and so you can take 21 * 1.475 (147.5%) and get 30.975. you round to the nearest tenth which goes up to 31 ft.

Answer:

40

Step-by-step explanation:

I got this by working through all the answer choices, this one is most logical :) I also submitted my assignment and got this correct !

stay happy :)

Answer:

Flight arrived in london on 5 : 35 pm Wednesday

Step-by-step explanation:

Time = 16 h 35 min

Time difference = 7 h

Flight time  =  8am

So

     According to perth time flight reached in london is

         8 am + 16 h 35 m =  8 am + ( 12 h + 4h + 35 m) =

         8pm + 4h +35 =  12am + 35m   = 12 : 35 am

The time difference is 7 h ,so minus this from  perth time

      12 : 35 am -  7h  =   5 : 35 pm

Mark brainliest if you understand

Answer:

x = 14

Step-by-step explanation:

Think:

What subtracts 10 can get you 4?

Or you can add 10 on both sides.

Percentage

0.4 x 0.4 = 0.16 =16% (d)

Step-by-step explanation:

[tex]f'(x)=6x^{2}-6x-12[/tex]

So f'(x)=0:

x^2 - x - 2 = 0

(x-2)(x+1)=0

x=-1, 2

So we need to find the value of f at those critical points and also at the endpoints of the interval

f(-1)=-2-3+12+1=8

f(2)=16-12-24+1=-19

f(-2)=-16-12+24+1=-3

f(3)=54-27-36+1=-8

so the max is 8 and the min is -19

Answer:

149.5

Step-by-step explanation

Answer:

149.50

Step-by-step explanation:

i did 29.1+78.8 = 107.90+ 41.5 and that's how i got 41.5

Answer: 3/9 should be the answer :)

Step-by-step explanation:

Answer:

6(1+5)

Step-by-step explanation:

The greatest common factor is 6

(6 + 30) = 6(1+5)

6(1+5) is the answer

Hope this helps :)

Have a nice day!

Answer:

[tex]\frac{3x}{(x-3)(x+1)}[/tex]

Step-by-step explanation:

[tex]\frac{2x-1}{x^2-2x-3}[/tex] + [tex]\frac{1}{x-3}[/tex]

= [tex]\frac{2x-1}{(x-3)(x+1)}[/tex] + [tex]\frac{1}{x-3}[/tex]

multiply the numerator/ denominator of 2nd fraction by (x + 1)

= [tex]\frac{2x-1}{(x-3)(x+1)}[/tex] + [tex]\frac{x+1}{(x-3)(x+1)}[/tex]

add the numerators , leaving the common denominator

= [tex]\frac{2x-1+x+1}{(x-3)(x+1)}[/tex]

= [tex]\frac{3x}{(x-3)(x+1)}[/tex]

Answer:

A) (x+1)(x-3)

B) 3x / x^2 - 2x - 3

or (3x ÷ x^2 - 2x - 3)

Hope this helps!

Answer:

1) 4x² + 4x

2) 2x² - 1

Explanation:

     in these type of questions, we go right to left serially in function

given:

1)

fg(x)

f(2x+1)

(2x+1)²-1

4x² + 4x + 1 -1

4x² + 4x

2)

gf(x)

g(x²-1)

2(x²-1) + 1

2x² - 2 + 1

2x² - 1

Answer:

Frank served 32

Alan served 18

Linda served 24

Step-by-step explanation:

78-6=72

72 divided by 4 = 18

Next time if you need help on these kind of questions, try drawing a bar diagram, it really helps

Answer:

Your answer of coplanar is correct

Step-by-step explanation:

A skew line are 2 lines that aren't parallel and do not intersect.

Since there are arrows on either end of AC and RS , it mean those lines continue, and they will eventually intersect.

It is also not the other 2 clearly, since they do intersect and they don't make a 90° angle

So yes,

The answer is Coplanar

Hope this helps.

Answer:

Distributive property

Step-by-step explanation:

Shows the breakdown of distributing the 4

4(x+6)

4x + 4(6)

We know:-

[tex] \bigstar \boxed{ \rm Volume \: of \: Cone = \frac{1}{3} \pi {r}^{2} h}[/tex]

[tex] \\ \\ [/tex]

So:-

[tex] \leadsto\sf Volume \: of \: Cone = \dfrac{1}{3} \pi {r}^{2} h[/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto\sf Volume \: of \: Cone = \dfrac{1}{3} \times \pi \times {3}^{2} \times 7 \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto\sf Volume \: of \: Cone = \dfrac{1}{3} \times \pi \times 3 \times 3 \times 7 \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto\sf Volume \: of \: Cone = \dfrac{1}{\cancel3} \times \pi \times \cancel3 \times 3 \times 7 \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto\sf Volume \: of \: Cone =\pi \times 3 \times 7 \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto\sf Volume \: of \: Cone =\pi \times 21\\ [/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto\bf Volume \: of \: Cone = 21\pi[/tex]

[tex] \\ \\ [/tex]

Therefore option C is correct.

The Volume of the cone is 21π cubic units

The formula for calculating the volume of a cone is expressed as:

V = 1/3πr²h

where:

r is the radius = 3 units

h is the height = 7units

The volume of the cone = 1/3π(3)²*7
Volume of the cone = 3π * 7

Volume of the cone = 21π cubic units

Hence the Volume of the cone is 21π cubic units

Learn more on volume of a cone here: https://brainly.com/question/1082469

[tex]~~~~~~~~~~~~\underset{\textit{payments at the end of the period}}{\textit{Future Value of an ordinary annuity}}\\ \\\\ A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right][/tex]

[tex]\begin{cases} A= \begin{array}{llll} \textit{accumulated amount}\\ \end{array}\\ pymnt=\textit{periodic payments}\dotfill &150\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &35 \end{cases}[/tex]

[tex]A=150\left[ \cfrac{\left( 1+\frac{0.04}{12} \right)^{12\cdot 35}-1} {\frac{0.04}{12}} \right]\implies A= 150\left[ \cfrac{\left( \frac{301}{300} \right)^{420}~~ - ~~1}{\frac{1}{300}} \right] \\\\[-0.35em] ~\dotfill\\\\ ~\hfill A\approx 137059.64~\hfill[/tex]

Answer:

Step-by-step explanation:

Surface area:

The main idea is to exploit the trigonometric identity,

sin²(θ) + cos²(θ) = 1

2. For an integral containing 16 - 81x², you might substitute x = 4/9 sin(θ) (with differential dx = 4/9 cos(θ) dθ, but without an actual integral to work with this isn't really important). Then

16 - 81x² = 16 - 81 (4/9 sin(θ))²

… = 16 - 81 (16/81 sin²(θ))

… = 16 - 16 sin²(θ)

… = 16 (1 - sin²(θ))

… = 16 cos²(θ)

so that in the root expression, we would end up with

[tex]\left(16 - 81x^2\right)^{7/2} = \left(16\cos^2(\theta)\right)^{7/2} = 2^{14} |\cos(\theta)|^7[/tex]

since [tex](ab)^c=a^cb^c[/tex] for all real a, b, and c; [tex]16^{7/2}=\left(2^4\right)^{7/2}=2^{14}[/tex]; and [tex]\sqrt{x^2}=|x|[/tex] for all real x.

The goal is to replace x with some multiple of sin(θ) that makes the coefficients factor out like they did here, which then lets you reduce 1 - sin²(θ) to cos²(θ).

And don't be discouraged by the absolute values; in the context of a definite integral, there are things that can be done to remove them or otherwise simplify absolute value expressions.

3. Substitute z = 1/√8 sin(θ) (so that dz = 1/√8 cos(θ) dθ). Then

1 - 8z² = 1 - 8 (1/√8 sin(θ))²

… = 1 - 8 (1/8 sin²(θ))

… = 1 - sin²(θ)

… = cos²(θ)

so that

[tex]\left(1-8z^2\right)^{3/2} = \left(\cos^2(\theta)\right)^{3/2} = |\cos(\theta)|^3[/tex]

Answer:

Therefore has one solution.

explanation:

Given equations:

6x + y = -7

-24x -7y = 25

Make y the subject:

6x + y = -7

y = -7 - 6x ..............equation 1

-24x -7y = 25

-7y = 25 + 24x

y = (25 + 24x)/-7 ..........equation 2

Solve them simultaneously:

(25 + 24x)/-7 = -7 - 6x

25 + 24x = -7 (-7 - 6x)

25 + 24x = 49 + 42x

42x - 24x = 25- 42

18x = -24

x = [tex]-\frac{4}{3}[/tex]

Then y is:

y = -7 - 6x

y = -7 - 6( [tex]-\frac{4}{3}[/tex])

y = 1

Has one separate value of x and y: (  [tex]-\frac{4}{3}[/tex] , 1 ); so it has one solution.