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Lina20 [59]
3 years ago
14

The sum of three consecutive odd numbers is less than or equal to 33. Write an inequality and solve to determine the maximum val

ue of the lowest number.
Mathematics
1 answer:
Dmitry [639]3 years ago
5 0

Answer:

9

Step-by-step explanation:

If first odd number is x

THen next consecutive odd number is x + 2

Next one is x + 4

Now, we can write the word problem as:

x+x+2+x+4 \leq 33

Now we solve:

x+x+2+x+4 \leq 33\\3x+6 \leq 33\\3x \leq 27\\x \leq 9

So, x is less than or equal to 9, so it can be

9, 7, 5 .....

What is the maximum value of the lowest number (x)?? It is 9

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Given that cos θ = –12∕13 and θ is in quadrant III, find csc θ.
Trava [24]

Answer:

A

Step-by-step explanation:

We are given:

\displaystyle \cos(\theta)=-\frac{12}{13},\,\theta\in\text{QIII}

Since cosine is the ratio of the adjacent side over the hypotenuse, this means that the opposite side is (we can ignore negatives for now):

o=\sqrt{13^2-12^2}=\sqrt{25}=5

So, the opposite side is 5, the adjacent side is 12, and the hypotenuse is 13.

And since θ is in QIII, sine/cosecant is negative, cosine/secant is negative, and tangent/cotangent is positive.

Cosecant is given by the hypotenuse over the opposite side. Thus:

\displaystyle \csc(\theta)=\frac{13}{5}

Since θ is in QIII, cosecant must be negative:

\displaystyle \csc(\theta)=-\frac{13}{5}

Our answer is A.

7 0
2 years ago
Read 2 more answers
PLZZZZ HELPPPPPP THIS IS TIMEDDDD!!!! *look at picture*
Kazeer [188]

Answer:

Height of the building = 50.8 ft

Step-by-step explanation:

A person and a building are casting the shadows at the same time of the day.

Triangles formed by the person and his shadow and the building and its shadow will be similar.

Therefore, corresponding sides of the similar triangles will be proportional.

\frac{x}{28}=\frac{5.8}{3.2}

x = \frac{5.8\times 28}{3.2}

x = 50.75

x ≈ 50.8 ft

5 0
2 years ago
Read 2 more answers
Can anyone help please
Liula [17]
The answer is yes. The triangles are congruent.

I measured them with a ruler and they are the same length.

Hope this helped! c:
8 0
3 years ago
Read 2 more answers
Plz help I don’t know the answer
Dahasolnce [82]
Are there options for the answers or not? If there is add the options.
5 0
2 years ago
How to simplify this
Afina-wow [57]
Hello,

the answer will be the last one 
\


hope this help
4 0
3 years ago
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