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Dmitry_Shevchenko [17]
3 years ago
14

Two angles in a triangle measure 33° and 112° What is the measure of the third angle?

Mathematics
2 answers:
anygoal [31]3 years ago
8 0

Answer:

Step-by-step explanatiaon:

angles in a triangle have a total of 180 degree.

33+112=145

180-145=35

answer:35°

kow [346]3 years ago
3 0

Answer:

35°

Step-by-step explanation:

Let's call the third angle x

The sum of interior angles in a triangle is equal to 180°

So the sum of 33° + 112° + x = 180°

145° + x = 180°

x = 180 - 145

x = 35°

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mojhsa [17]

\bf \stackrel{\textit{cubic feet of air}}{\stackrel{\textit{dependent}}{a(t)}}\qquad \stackrel{\stackrel{\textit{time in minutes}}{independent}}{t}~\hspace{7em}a(t)=6000t


the "t" variable is independent, namely it can change values "freely", and a(t) is dependent, because it depends on those values on "t" to get its own value.

if we make a table of values for minutes, we know the balloon is inflating at 6000 ft³ each passing minute.

1 minute......................... 6000(1) ft³

2 minutes......................6000(2) ft³

3 minutes......................6000(3) ft³

4 minutes......................6000(4) ft³

t minutes......................6000(t) ft³


before getting in the domain and range, let's find out how much air after 6 minutes.

a(6) = 6000(6)

a(6) = 36000 ft³.


now, what domain, namely values for "t" make sense?

well, we know the balloon can only hold up to 90000 ft³, and on every passing minute is filling up by 6000 ft³, after how many minutes will it be filled up?

90000/6000 = 15, after 15 minutes.

so at 0 minutes, t = 0, the balloon is empty, and 15 minutes later, t = 15, the balloon is filled up, [ 0 , 15 ].


what values for the range, namely a(t), makes sense?

well, we know when the balloon is empty is holding 0 ft³, and when is full it has 90000 ft³, [0 , 90000].

5 0
3 years ago
A photo is 8 cm long and 6 cm wide. It is enlarged to make a print that is 18 cm wide.
dezoksy [38]

Answer:

24 cm

Step-by-step explanation:

The photo was 6 cm wide, and was made into 18 cm wide. Divide 18 with 6:

18/6 = 3

To solve for the length enlargement, multiply 3 with the length, or 8 cm:

8 x 3 = 24

24 cm is the length of the enlargement.

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3 0
3 years ago
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Reptile [31]

Step-by-step explanation:

Domain of a rational function is everywhere except where we set vertical asymptotes. or removable discontinues

Here, we have

\frac{x(2x - 3)}{(x + 2)x}

First, notice we have x in both the numerator and denomiator so we have a removable discounties at x.

Since, we don't want x to be 0,

We have a removable discontinuity at x=0

Now, we have

\frac{2x - 3}{x + 2}

We don't want the denomiator be zero because we can't divide by zero.

so

x + 2 = 0

x =  - 2

So our domain is

All Real Numbers except-2 and 0.

The vertical asymptors is x=-2.

To find the horinzontal asymptote, notice how the numerator and denomator have the same degree. So this mean we will have a horinzontal asymptoe of

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So that becomes

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7 0
2 years ago
How do I solve this equation?
frosja888 [35]

Answer:

x=-3/11

Step-by-step explanation:

(x+3)/5 +2x=0

Multiply both sides by 5 to get rid of the fraction

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x+3 + 10x =0

Combine like terms

11x +3 = 0

Subtract 3 from both sides

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11x = -3

Divide by 11

11x/11 = -3/11

x = -3/11

4 0
3 years ago
Pls help <3 i mean i’m sure it’s easy but i don’t know what to write.
I am Lyosha [343]
Circumference/Diameter = pi = 3.14
C/D = pi = 3.14
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