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balu736 [363]
3 years ago
5

1.An acute angle _ is in a right triangle with cos _ =(5)/(6) . What is the value of sec _?

Mathematics
1 answer:
maks197457 [2]3 years ago
6 0
1)
Cosine = base / hypotenuse
Secant = hypotenuse / base = 1/Cosine
Sec = 1/(5/6) = 6/5
2)
Sine = perpendicular / hypotenuse = 5/6
hypotenuse² = base² + perpendicular²
base = √(6² - 5²)
base = √11
Cotangent = base / perpendicular
= √11/5
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Frank is lending $1,000 to Sarah for two years. Frank and Sarah agree that Frank should earn a real return of 4 percent per year
Montano1993 [528]

Answer:

nominal rate of interest is 31.7 %

Step-by-step explanation:

given data

payment = $1000

time = 2 year

rate = 4%

CPI = 100

CPI final yer = 127.7

to find out

nominal rate of interest

solution

we know nominal rate of interest formula that is

nominal rate of interest = real interest rate + inflation rate    .........1

so here inflation rate is express as

inflation rate = ( CPI final year - CPI )  / CPI  × 100    ...........2

put here value

inflation rate = ( 127.7 - 100 )  / 100  × 100

inflation rate is 27.7 %

so from equation 1

nominal rate of interest = real interest rate + inflation rate

nominal rate of interest = 4% + 27.7%

nominal rate of interest is 31.7 %

7 0
3 years ago
A drawer contains 12 brown socks, 8 white socks, and 2 blue socks. One sock is selected at random.
Katyanochek1 [597]

Answer:

1/11

Step-by-step explanation:

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22 / 2

1/11

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Hope this helps....

3 0
4 years ago
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2.5 x 10^6 in standard form
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How much sugar syrup would you get by:<br> Making 70% sugar syrup using 350g sugar?
zvonat [6]

Answer:

You will get 500g of sugar syrup.

I already answered this question.

You can get the answer by taking mass/mass% = 350/x

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Therefore x = 500g of sugar syrup


8 0
3 years ago
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