The terminal side of θ passes through the point (−5,−6). What is the exact value of cosθ in simplified form?

Help Asap Immediately!!

Svetlanka [38]

Answer:

its 432

Step-by-step explanation:

You multiply the base times the side length then divide by 2. hope this helps

3 0

3 years ago

Which of the following rational functions is graphed below?

IrinaVladis [17]

Answer:

Option (D)

Step-by-step explanation:

The given graph represents a rational function having,

1). Vertical asymptote → x = 2

2). Horizontal asymptote → y = 0

Parent function representing the rational function will be in the form of,

F(x) = $\frac{1}{x^{2} }$

Since, vertical asymptote of the function is x = 2, denominator of the function will be in the form of (x - 2)².

Since, horizontal asymptote of the function is y = 0, highest exponent term in the numerator will be 0.

Therefore, numerator of the fraction will be x⁰.

The rational function given in the graph will be,

F(x) = $\frac{x^{0}}{(x-2)^2}$

F(x) = $\frac{1}{(x-2)^2}$

Option (D) will be the answer.

6 0

3 years ago

The density of a American white oak tree is 752 kilograms per cubic meter. If the trunk of an American white oak tree has a circ

LuckyWell [14K]

Check the picture below.

$\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\ \cline{1-1} C=4.5 \end{cases}\implies 4.5=2\pi r\implies \cfrac{4.5}{2\pi }=r \\\\[-0.35em] ~\dotfill$

$\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} h=8\\ r=\frac{4.5}{2\pi } \end{cases}\implies V=\pi \left( \cfrac{4.5}{2\pi } \right)^2(8)\implies V=\begin{matrix} \pi \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix} \cdot \cfrac{20.25}{\begin{matrix} 4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}\underset{\pi }{\begin{matrix} \pi^2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix} }}(\stackrel{2}{\begin{matrix} 8 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}})$

$\bf V=\cfrac{40.5}{\pi }~cm^3~\hspace{9em} \stackrel{\textit{since density is }752kg~per~cm^3}{density\implies 752\left( \cfrac{40.5}{\pi } \right)}\qquad \approx ~~9694$

8 0

3 years ago

If shown, AB and CD are straight lines. Find x in each case.

nlexa [21]

Answer:

x = 60

Step-by-step explanation:

Vertical opposite angles are formed when two straight lines intersect each other.

Given that AD and CD are two straight lines intersecting at O, the two vertical opposite formed are, ∠AOD and ∠COB. Therefore:

∠AOD = ∠COB (Vertical opposite angles are congruent)

∠AOE = 90° (right angle)

∠DOE = x

∠COF = 30°

∠BOF = 2x

m∠AOE + m∠DOE = m∠AOD (angle addition postulate)

90 + x = ∠AOD (Substitution)

m∠COF + m∠BOF = m∠COB (Angle addition postulate)

30 + 2x = ∠COB

m∠AOD = m∠COB (vertical opposite angles)

90 + x = 30 + 2x (Substitution)

Collect like terms

90 - 30 = 2x - x

60 = x

x = 60

4 0

3 years ago

Jacob bought a TV for $178.10, including tax. He made a down payment of $35.00 and paid the balance in 5 equal monthly payments.

sergij07 [2.7K]

178-35=143

143/5= 28.6

he paid $28.6 every month

4 0

2 years ago