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Sedbober [7]
4 years ago
12

Find all solutions in the interval [0, 2π).

Mathematics
2 answers:
miss Akunina [59]4 years ago
8 0
The answer is no solution.
Explanation:
sec²x - 2 = tan²<span>x
</span>tan²x=sec²x-1
sec²x - 2 = sec²x-1
 -2=-1

there is no solution
sleet_krkn [62]4 years ago
7 0
We have that
sec²x - 2 = tan²<span>x--------> equation 1

and we know
</span>identity-----------> tan²x=sec²x-1------------> equation 2

<span>I substitute 2 in 1
</span>sec²x - 2 = sec²x-1----------> -2=-1---------> no solution

the answer is the option a) No solution
You might be interested in
Pedro has a total of 645 cents in dollar bills, dimes, and pennies. Which could be the money that he has?
Ivahew [28]

Answer:

a). The total money he has could be the first option (6 one dollar bills, 4 dimes, and 5 pennies)

b). 1,005 cents≠645 cents

c). 60,045 cents≠645 cents

d). 60,405 cents≠645 cents

Step-by-step explanation:

a). Step 1: Consider the total money for the first option

Total money=6 one dollar+4 dimes+5 pennies

where;

6 one dollar=6×1=6 dollars

1 dime=0.10 dollars,

4 dimes=(4×0.1)=0.40 dollars

1 penny=0.01 dollars

5 pennies=5×0.01=0.05 dollars

replacing;

Total money=(6+0.40+0.05)=6.45 dollars

1 dollar=100 cents

6.45 dollars=(6.45×100)=645 cents

The total money he has could be the first option (6 one dollar bills, 4 dimes, and 5 pennies)

b). Step 2: Consider the total money for the second option

Total money=6 one dollar+40 dimes+5 pennies

where;

6 one dollar=6×1=6 dollars

1 dime=0.10 dollars,

40 dimes=(40×0.1)=4 dollars

1 penny=0.01 dollars

5 pennies=5×0.01=0.05 dollars

replacing;

Total money=(6+4+0.05)=10.05 dollars

1 dollar=100 cents

10.05 dollars=(10.05×100)=1,005 cents

1,005 cents≠645 cents

c). Step 3: Consider the total money for the third option

Total money=600 one dollar+4 dimes+5 pennies

where;

600 one dollar=600×1=600 dollars

1 dime=0.10 dollars,

4 dimes=(4×0.1)=0.4 dollars

1 penny=0.01 dollars

5 pennies=5×0.01=0.05 dollars

replacing;

Total money=(600+0.4+0.05)=600.45 dollars

1 dollar=100 cents

600.45 dollars=(600.45×100)=60,045 cents

60,045 cents≠645 cents

d). Step 4: Consider the total money for the fourth option

Total money=600 one dollar+40 dimes+5 pennies

where;

600 one dollar=600×1=600 dollars

1 dime=0.10 dollars,

40 dimes=(40×0.1)=4 dollars

1 penny=0.01 dollars

5 pennies=5×0.01=0.05 dollars

replacing;

Total money=(600+4+0.05)=604.05 dollars

1 dollar=100 cents

604.05 dollars=(604.05×100)=60,405 cents

60,405 cents≠645 cents

6 0
3 years ago
Natassha had some money and after she gave $5 to her brother she still has more than $20 left. How much money did Natassha have
igomit [66]
Natasha has 25 in the beginning
4 0
3 years ago
How do you solve this ?
Sliva [168]

move the -3 1/4 to the other side by adding 3 1/4 .

2 5/12 + 3 3/12= K

then add to find the value of K
6 0
4 years ago
Read 2 more answers
HELP!
MAVERICK [17]

Answer: Hence, this investment would be worth of $366.756

Step-by-step explanation:

Since we have given that

Amount he invests = $350

Rate of interest compounded quarterly = 1.5%

Number of years = 50 years = 1.25 quarters

As we know the formula for "Compound Interest ":

Amount=P(1+\frac{r}{400})^n\\\\Amount=350(1+\frac{1.5}{400})^{12}\\\\Amount=\$366.07

For remaining half year, we first find the interest with using the above amount as principal amount.

Interest=\frac{366.07\tiems 1.5\times 0.5}{4\times 100}\\\\Interest=\$0.686

Hence, this investment would be worth of

366.07+0.686\\\\=\$366.756

4 0
3 years ago
Read 2 more answers
Find the surface area of the
Brums [2.3K]

Answer:

169 sq cm

Step-by-step explanation:

6 0
3 years ago
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