1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
EastWind [94]
3 years ago
11

Universal pet house sells vinyl doghouses and treated lumber doghouses. It takes the company 5 hours to build a vinyl doghouse a

nd 2 hours to build a treated lumber doghouse
Mathematics
1 answer:
elixir [45]3 years ago
8 0

Answer:

Step-by-step explanation:

What is the question

You might be interested in
Find the remaining trigonometric ratios of θ if csc(θ) = -6 and cos(θ) is positive
VikaD [51]
Now, the cosecant of θ is -6, or namely -6/1.

however, the cosecant is really the hypotenuse/opposite, but the hypotenuse is never negative, since is just a distance unit from the center of the circle, so in the fraction -6/1, the negative must be the 1, or 6/-1 then.

we know the cosine is positive, and we know the opposite side is -1, or negative, the only happens in the IV quadrant, so θ is in the IV quadrant, now

\bf csc(\theta)=-6\implies csc(\theta)=\cfrac{\stackrel{hypotenuse}{6}}{\stackrel{opposite}{-1}}\impliedby \textit{let's find the \underline{adjacent side}}
\\\\\\
\textit{using the pythagorean theorem}\\\\
c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a
\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}
\\\\\\
\pm\sqrt{6^2-(-1)^2}=a\implies \pm\sqrt{35}=a\implies \stackrel{IV~quadrant}{+\sqrt{35}=a}

recall that 

\bf sin(\theta)=\cfrac{opposite}{hypotenuse}
\qquad\qquad 
cos(\theta)=\cfrac{adjacent}{hypotenuse}
\\\\\\
% tangent
tan(\theta)=\cfrac{opposite}{adjacent}
\qquad \qquad 
% cotangent
cot(\theta)=\cfrac{adjacent}{opposite}
\\\\\\
% cosecant
csc(\theta)=\cfrac{hypotenuse}{opposite}
\qquad \qquad 
% secant
sec(\theta)=\cfrac{hypotenuse}{adjacent}

therefore, let's just plug that on the remaining ones,

\bf sin(\theta)=\cfrac{-1}{6}
\qquad\qquad 
cos(\theta)=\cfrac{\sqrt{35}}{6}
\\\\\\
% tangent
tan(\theta)=\cfrac{-1}{\sqrt{35}}
\qquad \qquad 
% cotangent
cot(\theta)=\cfrac{\sqrt{35}}{1}
\\\\\\
sec(\theta)=\cfrac{6}{\sqrt{35}}

now, let's rationalize the denominator on tangent and secant,

\bf tan(\theta)=\cfrac{-1}{\sqrt{35}}\implies \cfrac{-1}{\sqrt{35}}\cdot \cfrac{\sqrt{35}}{\sqrt{35}}\implies \cfrac{-\sqrt{35}}{(\sqrt{35})^2}\implies -\cfrac{\sqrt{35}}{35}
\\\\\\
sec(\theta)=\cfrac{6}{\sqrt{35}}\implies \cfrac{6}{\sqrt{35}}\cdot \cfrac{\sqrt{35}}{\sqrt{35}}\implies \cfrac{6\sqrt{35}}{(\sqrt{35})^2}\implies \cfrac{6\sqrt{35}}{35}
3 0
3 years ago
Wants to create a path using pebbles. She has 8 bas
frez [133]
The answer to that will be the letter c , 24ft
8 0
3 years ago
Several years​ ago, 39​% of parents who had children in grades​ K-12 were satisfied with the quality of education the students r
Mkey [24]

Answer:

let p be the population proportion of parents who had children in grades k-12 were satisfied with the quality of education the students receive.

Step-by-step explanation:

6 0
3 years ago
What is the answer? A B C D
Ilya [14]

Answer:

b

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
What is the common ratio of the geometric sequence; *
Tanya [424]

Answer:

C

Step-by-step explanation:

The common ratio r of a geometric sequence is

r = \frac{a_{2} }{a_{1} } = \frac{\frac{10}{3} }{10} = \frac{10}{3} × \frac{1}{10} = \frac{1}{3} → C

3 0
3 years ago
Read 2 more answers
Other questions:
  • Which of the following is a monomial?
    14·2 answers
  • Write an equation for a line parallel to y=-3x+2 that passes through the point (-1,4)
    15·1 answer
  • Please help me! Thx if u do
    14·2 answers
  • Lamar has a bookcase with b shelves. There are 12 books on each shelf. Using b write an expression for total numbers of books
    11·1 answer
  • Solve the equation for y 2y -25 =19​
    7·2 answers
  • Heeeeeeeeeeeeeeeeelp
    14·2 answers
  • Please help! x+25=100
    5·1 answer
  • How do you solve this ?
    9·1 answer
  • What is the rate for 46 and 2?
    10·1 answer
  • Please, i really need help
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!