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3 years ago

6

Given cos(angle) = -5/13 where the terminal arm of angle lies in quadrant 2, evaluate each trigonometric expression

1 answer:

Mrrafil [7]3 years ago

3 0

Answer the answer is 76.6

Step-by-step explanation:

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Ming took a cab across town. His fare was $22, and he leaves an 18% tip. What is the total amount ming pays the cab driver.

Aleks04 [339]

$\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{18\% of 22}}{\left( \cfrac{18}{100} \right)22}\implies 3.96~\hfill \stackrel{\textit{total amount paid}}{22+3.96\implies 25.96}\\\hspace{34em}$

8 0

3 years ago

Find the solution of the differential equation that satisfies the given initial condition. y' tan x = 3a + y, y(π/3) = 3a, 0 &lt

Paladinen [302]

Answer:

$y(x)=4a\sqrt{3}* sin(x)-3a$

Step-by-step explanation:

We have a separable equation, first let's rewrite the equation as:

$\frac{dy(x)}{dx} =\frac{3a+y}{tan(x)}$

But:

$\frac{1}{tan(x)} =cot(x)$

So:

$\frac{dy(x)}{dx} =cot(x)*(3a+y)$

Multiplying both sides by dx and dividing both sides by 3a+y:

$\frac{dy}{3a+y} =cot(x)dx$

Integrating both sides:

$\int\ \frac{dy}{3a+y} =\int\cot(x) \, dx$

Evaluating the integrals:

$log(3a+y)=log(sin(x))+C_1$

Where C1 is an arbitrary constant.

Solving for y:

$y(x)=-3a+e^{C_1} sin(x)$

$e^{C_1} =constant$

So:

$y(x)=C_1*sin(x)-3a$

Finally, let's evaluate the initial condition in order to find C1:

$y(\frac{\pi}{3} )=3a=C_1*sin(\frac{\pi}{3})-3a\\ 3a=C_1*\frac{\sqrt{3} }{2} -3a$

Solving for C1:

$C_1=4a\sqrt{3}$

Therefore:

$y(x)=4a\sqrt{3}* sin(x)-3a$

3 0

4 years ago

Help me solve this please

drek231 [11]

Answer:

x is 46.67

y is 28.4°

Step-by-step explanation:

To solve for x we use sine

sin ∅ = opposite / hypotenuse

AC is the opposite

x is the hypotenuse

so we have

sin 59° = 40 / x

x sin 59 = 40

Divide both sides by sin 59

x = 40/sin 59

x = 46.67

To solve for y we also use sine

sin y = 30/ 63

y = sin^-1(30/63)

y = 28.4°

Hope this helps you

3 0

4 years ago

To get the 10% discount, a shopper must spend no less than $500. Use d to represent the spending (in dollars) of a shopper who g

Ganezh [65]

Answer:

Hope this helps

Step-by-step explanation: we know that

To get the 10% discount, a shopper must spend at least $200

so

Let

d ------> represent the spending (in dollars) of a shopper who gets the discount

therefore

The value of d must be greater than or equal to $200

i would say that d is greater

3 0

3 years ago

$2.95 notebook; 5% tax

ladessa [460]

$2.95 x 5% ...........

5 0

3 years ago

Read 2 more answers