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3 years ago

An acute angle θ is in a right triangle with sin θ = one half. What is the value of cot θ?

Mathematics

1 answer:

MrMuchimi3 years ago

7 0

Answer:

√3

Step-by-step explanation:

cot²(θ) = csc²(θ) -1 . . . . . a relevant identity

= 1/sin²(θ) -1

= (1/(1/2))² -1 = 2² -1 = 3

Then ...

cot(θ) = √3 . . . . . . . . take the square root

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Solve the volume for all these figures

Alecsey [184]

Answer:

The formula for volume is length x width x height

A. 2x6x8=96 units^3

B. 1x7x4=28 units^3

C. 2x3x5= 30 units^3

D. 4x4x2= 32 units^3

E. 5x4x3= 60 units^3

Step-by-step explanation:

7 0

3 years ago

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AVprozaik [17]

Tan(35)=ck/cd
0.7= ck/3
ck=2.1

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3 years ago

800000 to nearest ten thousand

saw5 [17]

I think that 800000 is already rounded.

8 0

4 years ago

An aerial photograph from a U-2 spy plane is taken of a building suspected of housing nuclear warheads. When the photograph is t

NISA [10]

Answer:

Building is 56.58 feet long.

Step-by-step explanation:

Consider the provided information.

An aerial photograph from a U-2 spy plane is taken of a building suspected of housing nuclear warheads.

When the photograph is taken, the angle of elevation of the sun is 30°.

By comparing the shadow cast by the building in question to the shadows of other objects of known size in the photograph, scientists determine that the shadow of the building in question is 98 feet long.

As we know: $\tan\theta=\frac{opp}{adj}$

The value of tan 30 degrees is $\frac{1}{\sqrt{3} }$

$\tan30=\frac{h}{98}$

$\frac{1}{\sqrt{3}}=\frac{h}{98}$

$h=\frac{98}{\sqrt{3}}$

$h=56.58$

Hence, Building is 56.58 feet long.

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4 years ago

ASAP HELP

ELEN [110]

-11 is the answer

2(-2)-3(3)-(-2)
-4-9+2
-13+2
-11

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3 years ago