A surveyor is 3 miles from a mountain The angle of elevation from the ground to the top of the mountain is 15°. What is the height of the mountain?​

Answer:

x=3y+15

Step-by-step explanation:

Answer:

Step-by-step explanation:

8 - 4+ (3.6)2

= 8 - 4 + 7.2

= 11.2

hope it helps :)

Answer:

268

Step-by-step explanation:

The volume formula for a sphere is: V= [tex]\frac{4}{3}\pi r^{3}[/tex]

We also know that [tex]\pi[/tex] is approximately 3.14.

You have to know these in order to solve the question..

Since we also know the diameter is 8 we can also find the radius (r) ,which is half of the diamater so 4.

Now all we need to do it plug in the numbers.

V= [tex]\frac{4}{3}[/tex](3.14)[tex]4^{3}[/tex]

Now solve for the equation.

V=267.94...

So rounded that is 268.

Answer:

Step-by-step explanation:

2x + 7 > 20

2x > 13

x > 6.5

X=6.5

Answer:

2X+7>20

2X>13

X=13÷2

Answer:

x = 24.25 inches

Step-by-step explanation:

sin 60 = 21/x

0.866 = 21/x

x = 24.25

Answer:

24 (if its supposed to be rounded to whole)

24.2 (if rounded to tenth)

Step-by-step explanation:

Sin a= opp/hyp

opp=21

hyp=x

a=60

Sin60=21/x

Get x to the other side by multiplying on both sides

x*sin60=21

Now divide by sin60 on both sides

x=21/sin60

Find sin60

sin60=0.866025...

divide 21 by 0.866025

21/0.866025=24.248722....

So rounded to the nearest 10th is 24.2

Rounded to nearest whole is 24

Answer:

80 mph

Step-by-step explanation:

720÷9=80

hope this helps!!!

Answer:

55˚

Step-by-step explanation:

1. ∡135˚ = 180-135=45˚

2. p=180-80-45

3. p=55˚

[tex]\frac{\pi*d^2}{4}[/tex]

d=26

[tex]\frac{\pi *676}{4} =169*\pi[/tex]≈530.929158457

Answer:

ZV:34

Step-by-step explanation:

12/24 = 17/X

X = 34

this is called proportional triangles

Answer:

ZV = 34

Step-by-step explanation:

Δ XZV and Δ XYW are similar, then ratios of corresponding sides are equal, that is

[tex]\frac{ZV}{YW}[/tex] = [tex]\frac{XV}{XW}[/tex] , substitute values

[tex]\frac{ZV}{24}[/tex] = [tex]\frac{17}{12}[/tex] ( cross- multiply )

12 ZV = 408 ( divide both sides by 12 )

ZV = 34

Answer:

its D

Step-by-step explanation:

In a right triangle the hypotenuse which is 16+9 =25 has to be the largest side.  Since x is not the hyportenuse it has to be lower which only leaves one answer : 15

Answer:

Step-by-step explanation:

these are tough to solve  , don't feel bad.   soo part of the trick is that the two side set  up similar triangles, then  

16 / y  = y /9     ( the two triangles

16* 9 = [tex]y^{2}[/tex]

144 = [tex]y^{2}[/tex]

12 = y

y is the length between the two triangles , so since we now know that part, we can solve the triangles.

lets use tan to solve one of the angles of the smaller triangle

TOA  to remember how tan fits on a triangle

Tan = Opp / Adj

Tan(Ф) = 9/12

Ф = arcTan(9/12)

Ф = 36.869897

knowing that we can solve for x

use CAH   cos = Adj / Hyp

Cos(36.869897) = 12 /  Hyp

Hyp = 12/ Cos(36.869897)

Hyp = 15   :)  that seems reallly good ..  :P

x = 15   there you go  

Answer:

$48

..........................

Answer:

320 x 15 = your answer + 10 = The answer :D

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

it between B and c not really sure though

Answer:

I hope this helps!Let me know if it helps

Next to 71 degrees angle is 45 degrees

The one close to 64 degrees is 64 too ( vertical angles)

And the last one next to 56 degrees is 60

The vertical angles are 56° aech.

Angle next to 56° is: 60° (sum of triangle)

Angle next to 71° is: 45° (sum of triangle)

Vertical angles have equal measure.

In the diagram given, 64 and the opposite angle are congruent because they are vertical angles.

The angle next to 56° is: 180 - 64 - 56 = 60° (sum of triangle)

The angle next to 71° is: 180 - 64 - 71 = 45°.

Learn more about vertical angles on:

https://brainly.com/question/14362353

#SPJ2

Answer:

1,972

Step-by-step explanation:

Don't know but I had this same image on my test and I got it right.

It will probably only work if its multiple choice cause you said shaded area and mine just says the area so.

Answer:

What do you need help with? Answer and I will tell you anything you need.

Step-by-step explanation:

Answer:

12 x 18 CM.

Step-by-step explanation:

Because 3 cm is 1 ft  so if it is 4 you multiply that by 3 which equals 12 , and for 6 feet you multiply that by 3 cm  and get 18. SO it is 12 x 18 cm.

Answer:

Step-by-step explanation:

since the two angles are the same we can set up a relationship between the two triangles and set them equal to each other and solve for X  :) , as follows

SOH   sin = Opp / Hyp

triangle 1  )   sin(Ф) = x / 12

triangle 2 )    sin(Ф) = x + 5 / 27

since sin(Ф) is the same for each triangle.. set those other sides equal to each other

x/12 = x+5 /27

now solve for x using your mad algebra skilz  :P

27 / 12 = x + 5 / x

2 3/12  = x/x  + 5/x

2 1/4 = 1 + 5/x

1 1/4 = 5/x

x = 5 / 1 1/4

x = 4   nice  :)

So BD is then

4 + 4+5

so BD = 13  

tell your professor / teacher that you figured it out all on your own  :D

( yes.. that was tricky to figure out )

Answer:

[tex]\sqrt{\frac{49}{16}[/tex]

Step-by-step explanation:

Answer:

y=4

Step-by-step explanation:

If x equals 2 then you just do basic math to find out what y equals.

Answer:  B

Step-by-step explanation:

Answer:

[tex]7 \sqrt{3 } - \sqrt{2} [/tex]

Answer:

10x²+8x

Step-by-step explanation:

times everything in the bracket by 2x

Answer:i

Step-by-step explanation:

Answer:

First find out the other side measurements. Then split the shape into seperate squares and find the area then add them all up.

Step-by-step explanation:

volume is length × width × height.

Answer:

240 cm cubed

Step-by-step explanation:

If you separate the shape into 2 figures, the first figures area is 180

and the second is 60.

180 + 60 = 240

Hope this helps!

Answer:

124922593425

Step-by-step explanation:

if u do the probblem u get dis

Answer:

12 yards

Step-by-step explanation:

From. The picture attached, we could obtain the angle of elevation, θ from the curb of the street to the top of the building.

Using trigonometric relation :

Tanθ = opposite / Adjacent

Opposite = 30 yards

Adjacent = 40 yards

Tanθ = 30/40

θ = tan^-1(0.75)

θ = 36.869897°

Distance between curb of street and flagpole :

(40 - 24) yards = 16 yards

Let height of flagpole = h

Tanθ = opposite / Adjacent

Opposite = h yards

Adjacent = 16 yards

Tan36.869897 = h/16

0.75 = h / 16

h = 0.75 * 16

h = 12 yards

Answer:

Step-by-step explanation:

The equation of a line in slope-intercept form is expressed as y = mx+b

m is the slope

b is the intercept

Get the slope

m = -5-1/2-(-2)

m = -6/4

m = -3/2

Get the intercept

Substitute m = -3/2 and (-2, 1) into y = mx+c

1 = -3/2(-2) + c

1 = 3 + c

c = 1-3

c =-2

Get the required equation

y = mx+c

y = -3/2 x + (-2)

y  = -3/2 x -2

Hence the required equation is  y  = -3/2 x -2