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Julli [10]
4 years ago
8

8. A dog chasing some birds in the woods got away from its owner. If the owner is 30 yards

Mathematics
1 answer:
puteri [66]4 years ago
8 0

Answer:

172.76 yards.

Step-by-step explanation:

The dog chasing some birds got away from its owner by x yards (say).

It is clear from the problem that this x yards is the slant distance from the dog to the owner.

The vertical distance from the dog to the owner is given to be 30 yards, and the angle of elevation from the owner to the dog is 10°.

Therefore, we can write that \sin 10 =\frac{30}{x}

⇒ x = \frac{30}{\sin10} = 172.76 yards. (Answer)

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127 is a number, write it as a sum of 100s 10s and 1s
tino4ka555 [31]
Add the hundreds with the tens and the ones. 10+20+7=127
5 0
3 years ago
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A study was conducted on dolphins born in 2016 in a certain region of the ocean. Ten of the 250 dolphins studied were born with
amm1812

Answer:

25,000

Step-by-step explanation:

i think because 10 times 100 gets 1000 so now you have to do 250 times 100 to get 25,000

4 0
3 years ago
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11000 is compounded semiannually at a rate of 12% for 21 years. Find the total amount in the compound interest account
marishachu [46]

\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\dotfill &\$11000\\
r=rate\to 12\%\to \frac{12}{100}\dotfill &0.12\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{semiannually, thus twice}
\end{array}\dotfill &2\\
t=years\dotfill &21
\end{cases}


\bf A=11000\left(1+\frac{0.12}{2}\right)^{2\cdot 21}\implies A=11000(1.06)^{42}\implies A\approx 127127.359416

5 0
4 years ago
Haben knows that the angle of elevation from the top of a rock formation to a stake in the ground 50 feet from its base is 42°.
Murrr4er [49]

Answer:

The height of the rock formation is 45.02\ ft

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

tan(42\°)=h/50

solve for h

h=50*tan(42\°)=45.02\ ft

4 0
3 years ago
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Need help asap plz ​
stepladder [879]

Answer:

Step-by-step explanation:

1.

sum > 8 or 9,10,11,12

events sum >8 are 36,45,54,63,46,55,64,56,65,66

no. of events=10

p=10/36=5/18

2.

P=291/2237

3.

p=\frac{1}{8}*\frac{4}{8}=\frac{1}{16}

4.

a.

P=5/246

b.

p=208/246=104/123

5.

             yes     no       total

student   56     42         98

teacher     3        7         10

total         59     49        108

8 0
3 years ago
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