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Blizzard [7]
3 years ago
6

Which rule yields the dilation of the figure STUV centered at the origin?

Mathematics
1 answer:
Vsevolod [243]3 years ago
5 0

I'm a little unsure about this one, but I believe that scale factor is the rule that yields dilution, as it specifies how the diluted figure is placed on the graphing plane.

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A fire department's ladder is 110 feet long. A firefighter is trying to reach the top of a 100 foot building by leaning the ladd
Alekssandra [29.7K]

Answer:

sin-¹(10/11)

Step-by-step explanation:

The height of the building is 100 ft and the ladder is 110ft long .We can imagine this situation as a right angled ∆. For figure refer to the attachment .

  • We can use ratio sine here. Let the angle of elevation be theta.

<u>In </u><u>∆</u><u> </u><u>ABC </u><u>:</u><u>-</u><u> </u>

=> sinθ = p/h

=> sinθ = 100ft / 110 ft

=> sinθ = 10/11

=> θ = sin -¹ ( 10/11) .

<h3><u>Hence </u><u>the</u><u> </u><u>angle</u><u> of</u><u> elevation</u><u> </u><u>is </u><u>sin </u><u>-</u><u>¹</u><u> </u><u>(</u><u> </u><u>1</u><u>0</u><u>/</u><u>1</u><u>1</u><u>)</u><u>. </u><u> </u></h3>

6 0
3 years ago
A store brought 9 cases of light bulbs in May and 8 cases in June. There are 48 light bulbs in a case. How many light bulbs did
UkoKoshka [18]
So the store bought 9 cases of lightbulbs and in a case, there are 48.
9 * 48 = the number of lightbulbs in the nine cases. 432 is the number of light bulbs in the 9 cases they bought in May. So then let's move on to the cases they bought in June. Do the same thing 8 * 48 is 384. So then add the two amounts together and then you will get 816 which will be your answer. I hope this helps!
5 0
3 years ago
Read 2 more answers
Two airplanes leave dallas at the same time and fly in opposite directions. One airplane travels 80 miles per hour faster then t
RSB [31]

recall d = rt, distance = rate * time.


let's say airplane A is going at a rate of "r", therefore airplane B is moving faster, at a rate of "r + 80".

now, after 3 hours, both planes have been travelling for 3 hours each, and say if A has covered "d" miles, then B has covered the slack of 2490 - d.


\bf \leftarrow \underset{A}{\stackrel{r}{\rule[0.22em]{8em}{0.25pt}}}dallas\underset{B}{\stackrel{r+80}{\rule[0.22em]{18em}{0.25pt}}}\to \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ plane~A&d&r&3\\ plane~B&2490-d&r+80&3 \end{array}


\bf \begin{cases} \boxed{d}=3r\\ 2490-d=(r+80)(3) \end{cases} \\\\\\ 2490-\boxed{3r}=3r+240\implies 2250=6r\implies \cfrac{2250}{6}=r\implies \stackrel{A}{375}=r \\\\\\ \stackrel{B}{375+80\implies 455}

4 0
3 years ago
Michaels basketball team practiced for 2 hours 40 minutes yesterday and 3 hours 15 minutes today. How much longer did the team p
Elden [556K]
They practiced 35 minutes longer than yesterday :)
4 0
3 years ago
Read 2 more answers
Substitute and evaluate: x=8,
svp [43]
7.(4.8)-2.3=(7.32)-6=224-6=218
8.(6.3)=8.18=116
9.2.6+8=108+8=116
10.6+8=60+8=68
5 0
3 years ago
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