(01.01 LC)<br> Evaluate the expression 3(7 + 4)2 - 14

What is the value of sin(t) if cos(t)=0.1, and t is in quadrant 1

Marizza181 [45]

Answer:

$sin(t)=\frac{\sqrt{99}}{10}$

Step-by-step explanation:

Remember that

If angle t belong to the First Quadrant

then

The value of sin(t) and cos(t) are positive values

we know that

$sin^2(t)+cos^2(t)=1$ ---> by trigonometric identity

we have

$cos(t)=0.1=\frac{1}{10}$

substitute

$sin^2(t)+(\frac{1}{10})^2=1$

$sin^2(t)+\frac{1}{100}=1$

$sin^2(t)=1-\frac{1}{100}$

$sin^2(t)=\frac{99}{100}$

$sin(t)=\frac{\sqrt{99}}{10}$

8 0

3 years ago

Anybody know the answer?

german

The answer 1 because because 1-cosx^2 =sinx^2 and cotx^2+1=cscx^2 =1/sinx^2 and sinx^2/sinx^2=1
Hope, help and Heal.

5 0

3 years ago

Factor x3 – 7x2 – 5x + 35 by grouping. What is the resulting expression?

Aliun [14]

Answer:

$(x-7)(x-\sqrt{5})(x+\sqrt{5})$

Step-by-step explanation:

The given expression is

$x^3-7x^2-5x+35$

Factor the first two and the last two.

$x^2(x-7)-5(x-7)$

$(x-7)(x^2-5)$

Apply difference of two squares to the leftmost factor.

$(x-7)(x-\sqrt{5})(x+\sqrt{5})$

7 0

3 years ago

Read 2 more answers

a A boat is heading towards a lighthouse, where Lillian is watching from a vertical distance of 145 feet above the water. Lillia

Stells [14]

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The distance from point A to point B is 763.752ft.

<h3>What is Tangent (Tanθ)?</h3>

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

$\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}$

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

A.) The distance between the boat and the lighthouse when the angle of depression is 10°.

Tan(10°) = Height of lighthouse/ distance between the boat and the lighthouse

Distance between the boat and the lighthouse

= 145/Tan(10°) = 822.336ft

B.) The distance between the boat and the lighthouse when the angle of depression is 68°.

Tan(68°) = Height of lighthouse/ distance between the boat and the lighthouse

Distance between the boat and the lighthouse

= 145/Tan(68°) = 58.584ft

The distance between point A and B = 822.336ft - 58.584ft = 763.752 ft

Hence, the distance from point A to point B is 763.752ft.

Learn more about Tangent (Tanθ):

brainly.com/question/10623976

#SPJ1

7 0

2 years ago

math 115 In a recent year, wind machines in a country generated 181.3 billion kWh of electricity, enough to serve over 17 millio

vivado [14]

Answer:

The percentage of of the total energy production was generated by wind machines is 4.43%.

Step-by-step explanation:

Percentage is the proportion of an item in the whole.

The formula is:

$Percentage=\frac{X}{N}\times 100$

It is provided that the wind machines in a country generated 181.3 billion kWh of electricity.

And the nation's total electricity production that year was 4,096 billion kWh.

Compute the percentage of of the total energy production was generated by wind machines as follows:

$Percentage=\frac{181.3}{4096}\times 100=4.43\%$

Thus, the percentage of of the total energy production was generated by wind machines is 4.43%.

7 0

3 years ago

(01.01 LC) Evaluate the expression 3(7 + 4)2 - 14 - 7.