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pishuonlain [190]

3 years ago

11

Triangle A B C is shown with its exterior angles. Line C B extends through point D. Line B C extends to form exterior angle that

is 135 degrees. Angle C A B is 75 degrees.
What is m∠ABC?

2 answers:

Leya [2.2K]3 years ago

5 0

abc 78 equal meters degree

olasank [31]3 years ago

5 0

Answer:

78

Step-by-step explanation:

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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

Chef plans to serve 4.5 oz. steaks to 180 Guests. How many POUNDS only of raw steak should Chef order if Waste (trimming and coo

kotegsom [21]

Answer: Option 'c' is correct.

Step-by-step explanation:

Since we have given that

Number of ounces steaks = 4.5 oz

Number of guests = 180

Percentage of waste = 25%

Number of ounces of fresh steak is given by

$4.5\times 180\\\\=810\ oz$

Let the number of ounces of raw steak be x.

According to question,

$\dfrac{100-25}{100}\times x=810\\\\\dfrac{75}{100}\times x=810\\\\0.75\times x=810\\\\x=\dfrac{810}{0.75}\\\\x=1080\ oz$

As we need in pounds, and we know that

1 pound = 16 ounces

So, Number of pounds of raw steak that Chef could order is given by

$\dfrac{1080}{16}=67.5\ lbs$

Hence, Option 'c' is correct.

7 0

3 years ago

Roy has decided to visit the new ice cream shop around the corner. When he goes in, he sees 10 big buckets full of ice cream beh

Marrrta [24]

Answer:

50% or 1/2

Step-by-step explanation:

5 is half of 10 so the answer is 50%

6 0

3 years ago

HELP!!! Please!!! I am struggling with this.

Anna007 [38]

Bbbbhhhhhhhbbhhhbbhhgvb

4 0

3 years ago

Chris has 90 pairs of tennis shoes . He has his shoes separated

Sindrei [870]

1/5 + 1/3 + 4/10 are Nike
There are 90

Common denominator is 90
18/90 + 30/90 + 36/90 = 84/90
This means 84 of the shoes are Nikes

Therefore 6 of the pairs are Pumas

5 0

3 years ago