At the same time of day, a tree and a flagpole cast shadows as shown below.
How tall is the tree?

Answer:

[tex]m\angle XYV=135^{\circ}[/tex]

Step-by-step explanation:

Notice that [tex]m\angle XYV=m\angle XYW+m\angle VYW[/tex].

The diagram already marks [tex]m\angle VYW=80^{\circ}[/tex], so we just need to find [tex]m\angle XYW[/tex].

[tex]\angle TYU[/tex] and [tex]\angle XYW[/tex] are vertical angles, which means they are equal in measure.

Therefore,

[tex]m\angle TYU=m\angle XYW=6x+7[/tex]

Since there are [tex]180^{\circ}[/tex] on each side of a line, we have the following equation:

[tex]m\angle XYW+m\angle VYW+m\angle UYV=180^{\circ},\\6x+7+13+4x+80=180,\\10x+20=100,\\10x=80,\\x=8[/tex].

Plugging in [tex]x=8[/tex], we have:

[tex]m\angle XYW=6(8)+7=55^{\circ}[/tex].

Therefore,

[tex]m\angle XYV=55^{\circ}+80^{\circ},\\m\angle XYV=\fbox{$135^{\circ}$}[/tex].

Answer:1

Step-by-step explanation: it’s always at the end of a linear equation

Answer:  3 is the HCF of 6,9 and 12

coz 3 is divisible by all the numbers above

Hope it helped u,

pls mark as the brainliest

^_^

Answer:

well whats the question?

Step-by-step explanation:

Answer:

2998 ; 17%

Step-by-step explanation:

Given the function:

t(c)=-3970.9(ln c)

c = % of carbon remaining ; t = time

1.) c = 47% = 47/100 = 0.47

t(0.47) = - 3970.9(In 0.47)

t = - 3970.9 * −0.755022

t = 2998.119

t = 2998

B.)

t = 7000

t(c)=-3970.9(ln c)

7000 = - 3970.9(In c)

7000 / - 3970.9 = In c

−1.762824 = In c

c = exp(−1.762824)

c = 0.1715596

c = 0.1715596 * 100%

c = 17.156% ; c = 17%

Answer:  For plato family

The function t relates the age of a plant fossil, in years, to the percentage, c, of carbon-14 remaining in the fossil relative to when it was alive.

Use function t to complete the statements.

A fossil with 47%    of its carbon-14 remaining is approximately

years old.

A fossil that is 7,000 years old will have approximately

       17%     of its   carbon-14 remaining.

Step-by-step explanation:

 The  first  box is  2,998

  The  second  box is 17%

Given, a=-3

a) 2a= 2 × -3 = -6

b) a^2= (-3)^2= 9

c) 3a^2= 3 × (-3)^2 = 3 × 9 = 27

Hope it helps uh.

first you do multiply both the a because a is in square then a x a so (-3 x-3) =6 answer is 6

then next is c

3a sq OK

3a sq = (3x-3) -3 x-3

answer is 81

Answer:

8/9 in squared

Step-by-step explanation:

because one block is 1/9, and there are 8

Answer:

If d is the height of the tree: d = 1/2m

Step-by-step explanation:

Answer:

[tex] b = \sqrt{2} [/tex]

Step-by-step explanation:

[tex] \cos \: 60 \degree = \frac{b}{2 \sqrt{2} } \\ \\ \frac{1}{2} = \frac{b}{2 \sqrt{2} } \\ \\b = \frac{2 \sqrt{2} }{2} \\ \\ b = \sqrt{2} [/tex]

Answer:

sqrt(2)

Step-by-step explanation:

Answer:

-3/4

Step-by-step explanation:

-1 1/4 = -5/4

1/2 = 2/4

-5 + 2 = -3

-3/4

Answer: The answer is -3/4

Step-by-step explanation: covert the mixed numbers to improper fractions, then find the LCD and combine.

Answer:

[tex] \huge\boxed{\sin(75°) = \frac{x}{12}} [/tex]

sin(¢)=perpendicular/hypotenuse

A 12 foot ladder leans against a building at a 75 degree with the ground. Therefore ladder reaches approximately 11.59 feet up the side of the building.

Trigonometry, specifically the sine function, may determine how high the ladder is up the building. A right triangle's sine is the ratio of the opposing side's length to the hypotenuse. The ladder is the hypotenuse of the right triangle, and we want to find the ladder's height up the building's side.

Let's call the height h. The given information is that the ladder (hypotenuse) is 12 feet, and the angle between the ladder and the ground is 75 degrees.

Using the sine function:

sin(75 degrees) = opposite / hypotenuse

sin(75 degrees) = h / 12

Now, we can solve for h:

h = 12 × sin(75 degrees)

Using a calculator:

h = 12 × 0.96592582628 = 11.59 feet

So, the ladder reaches approximately 11.59 feet up the side of the building.

To know more about Trigonometry

https://brainly.com/question/13729598

#SPJ2

Answer:

[tex]m\angle1=75^{\circ}[/tex]

Step-by-step explanation:

Solution 1:

[tex]m\angle1[/tex] is formed by a point that is on the circle. The angle encompasses an arc of [tex]150^{\circ}[/tex] and thus the measure of the angle formed is [tex]\frac{150}{2}=\fbox{$75^{\circ}$}[/tex].

Solution 2:

Since [tex]\angle 1[/tex] is adjacent to a line and encompasses an arc, we can set up the following proportion:

[tex]\frac{150}{360}=\frac{m\angle 1}{180}[/tex]

Solving, we get [tex]m\angle 1=\fbox{$75^{\circ}$}[/tex].

Answer:

Step-by-step explanation:

Original price of the music box = $80

Price after 20% discount = Original price - discount

                                         = 80 - 20% of 80

                                         = 80 - [tex](\frac{20}{100}\times 80)[/tex]

                                         = 80 - 16

                                         = $64

Price after 40% discount = 80 - 40% of $80

                                         = 80 - 32

                                         = $48

Original price of A faux Ming vase = $60

Price after 20% discount = Original price - discount

                                         = 60 - 20% of $60

                                         = 60 - 12                                    

                                         = $48

Price after 40% discount = Original price - discount

                                         = 60 - 40% of 60

                                         = 60 - 24

                                         = $36

Answer:

The gradient of [tex]y = x^{5}[/tex] is [tex]\frac{dy}{dx} = 5\cdot x^{4}[/tex].

Step-by-step explanation:

Geometrically speaking, the gradient of a curve is the slope of the tangent line at a given point of the curve. From perspective of Differential Calculus, the gradient is the first derivative of the curve. Let [tex]y = x^{5}[/tex], then the gradient of the curve is:

[tex]\frac{dy}{dx} = 5\cdot x^{4}[/tex] (1)

The gradient of [tex]y = x^{5}[/tex] is [tex]\frac{dy}{dx} = 5\cdot x^{4}[/tex].

Answer: are there possible choices to choose from

Step-by-step explanation:

9514 1404 393

Answer:

  6/(6-3) = 2

Step-by-step explanation:

The expression is written as ...

  [tex]\boxed{\dfrac{6}{6-3}}[/tex]

It evaluates as ...

  [tex]\dfrac{6}{6-3}=\dfrac{6}{3}=\boxed{2}[/tex]

0.75 pizza

Step-by-step explanation: 0.75 x 12 equals 8, that's basically it.

Answer:

0.666667

Step-by-step explanation:

8 pizzas ÷ 12 people = 0.66667 pizzas for each.

Answer:

the answer is b i hope it helps

Answer:

D)  [tex]sin(\frac{4\pi }{3} ) = sin(\pi +\frac{\pi }{3} ) = -sin\frac{\pi }{3}[/tex]

Step-by-step explanation:

A)

[tex]sin(\frac{2\pi }{3} ) = sin ( \pi - \frac{\pi }{3} ) = sin\frac{\pi }{3}[/tex]

B)

[tex]cos (\frac{\pi }{6} ) = cos ( \frac{\pi }{2} - \frac{\pi }{3} ) = sin(\frac{\pi }{3})[/tex]

C)

[tex]cos (\frac{11\pi }{6} ) = cos ( \frac{3\pi }{2} + \frac{\pi }{3} ) = sin(\frac{\pi }{3})[/tex]

D)

 [tex]sin(\frac{4\pi }{3} ) = sin(\pi +\frac{\pi }{3} ) = -sin\frac{\pi }{3}[/tex]

Answer:

9-12 is -3

Step-by-step explanation:

Answer:

what are you supposed to do here?

Step-by-step explanation:

Answer:

$31,400(payment for 36 months)

Step-by-step explanation:

4.5% of 12000 is 540.

540×36=19,440

19,440+12000=31,440

Answer: 23.36 and 46.67

Step-by-step explanation:

Number 1:

Number 2:

Answer:

tangent

Step-by-step explanation:

Hope this helps

Answer:

3

Step-by-step explanation:

3×3=9+1=10

10/3×3=10

Answer:

(x, y ) = ( - 3 , 14 )

Step-by-step explanation:

I hope this helps you. Best of luck.