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3 years ago

Find the measure of the exterior angle. (I'm assuming it's easy I'm just bad at math.)

Mathematics

2 answers:

Paha777 [63]3 years ago

6 0

60+x+9=2x then solve for x. x=69
plug in 69 to the exterior angle which is 2x. 2(69)=138°

irakobra [83]3 years ago

5 0

You will do area for a triangle . when multiplying with the (x+9) you will just multiply the number infront of the parentheses by both the x and the 9. for example the 60 would be 60(x+9) which would be 60x+540

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jeka94

7 because you divide the 27 from 3.

3 0

3 years ago

A building is 2 ft from a 7 - ft fence that surrounds the property . A worker wants to wash a window in the building 11 ft from

White raven [17]

Answer:

The height of the ladder is 14.491 feet

Explanation:

Given the height is 11 feet

Base = 7 + 2 = 9 feet

Consider the ladder to be the hypotenuse

Applying Pythagoras Theorem,

$H^2 = P^2 + B^2$

Substituting the values in the above formula,

$H^2$ = 112 + 92

$H^2$ = 121 + 81

$H^2$ = 210

H = sqrt(210)

H = 14.491

Therefore, the height of the ladder is 14.491 feet

3 0

3 years ago

Find missing angle.

Vsevolod [243]

I don’t really know exactly to what degree you need to put in your solution. But I rounded to the nearest tenth degree.
A = 112 degrees
B= 28 degrees (180-112-40 bc all sides of a triangle must equal 180)
C= 40
a= 27.6 (this is the side opposite of angle A)
b= 14 (side opposite b)
c= 19.2 (side opposite c)

HOW TO SOLVE:
c= law of sines, so c/sin(40) = 14/sin(28), multiply both sides by sin(40) so c can be isolated and solved for. c = 14sin(40)/sin(28). Plug into calculator then get answer. c is approximately 19.2.
a = law of sines again, so a/sin(112) = 14/sin(28). Multiply both sides again by sin(112) then solve. a = 14sin(112)/sin(28). Calculator again. a is around 27.6

7 0

4 years ago

T(1) = 9 t(n + 1) = 2 • t(n)

timurjin [86]

Answer:

t(1)3 = 914

t(s + 1) = 2 • t(s)

8 0

3 years ago

The angle of depression from the top of a cruise ship to the top of a sailboat is 22. Sitting above water, the cruise ship is 23

dusya [7]

Answer:

The distance between the cruise ship and the sail boat is 517 feet.

Step-by-step explanation:

The cruise ship is 236 feet tall, and the sailboat is 236 tall; this means the distance between the top of the cruise ship and the top of the sail boat is

236 feet - 27 feet = 209 feet.

We also know that the angel of depression from the top of the cruise ship to the bottom of the cruise ship is 22°. This forms a right triangle as shown in the figure attached.

Now from trigonometry we get:

$tan \: \theta = \dfrac{209}{d}$

$d= \dfrac{209}{tan\:\theta }$

$\boxed{d=517ft}$

The distance between the cruise ship and the sailboat is 517 feet.

3 0

3 years ago