IMPOSSIBLE MATH QUESTION(1+tan (1))(1+tan (2))(1+tan (3))(1+tan (4))...(1+tan (45))=?
find the value

Answers

Answer 1

Answer: well u can also do this without a calculator
take $tan 1=tan(45-44)=(1-tan44)/(1+tan 44)$
then
$(1+tan1)=(1+ (1-tan44)/(1+tan 44))=(2)/(1+tan 44)$
therefore similarly
$(1+tan 1)(1+tan 2)...(1+tan 22)= (2)/(1+tan 44) (2)/(1+tan 43)(2)/(1+tan 42)..(2)/(1+tan 23)$
$= (2^(22))/((1+tan 44)(1+tan 43)(1+tan 42)...(1+tan 23))$
then $(1+tan 1)...(1+tan 45)= (2^(22))/((1+tan 44)(1+tan 43)(1+tan 42)...(1+tan 23))(1+tan 23)(1+tan 24)...(1+tan 45)$
$=2^(22)(1+tan45)=2^(23)=8388608$

Answer 2

Answer: (1+tan 1)(1+ tan 2)...(1+tan 45)=(1+0.017455)(1+0.03492)...(1+1)=8388608.11

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PLEASE SOMEONE HELP AND EXPLAIN THE FIRST ONE PLEASE SO THE HALF LIFE OF A RADIOACTIVE KIND OF POTASSIUM IS 12 HRS . HOW MUCH WILL BE LEFT AFTER 36 HRS, IF YOU START WITH 64 GRAMS OF IT? SO I DID A=64(1/2)^36 POWER IS THAT THE ACCURATE FORM PLEASE I NEED HELP ASAPBTW THIS IS EXPONENTIAL DECAY

Answers

Don't get carried away with the exponent.

The exponent is not the number of years or the number of hours.
The exponent is the number of half-lifes.

In this one, the half-life is 12 hours, and they want to know
how much is left after 36 hours. 36 hours is 3 half-lifes.
The formula that you did is beautiful and almost perfect.
Just change that ugly exponent to the number of half-lifes (3)
and the answer will jump out at you.

half life formula is
F=P(1/2)^(t/h)

F=furure or ending amount
P=present amount
t=time elapsed
h=time the half life is

F=64(1/2)^(36/12)
F=64(1/2)^(3)
F=64(1/8)
F=8 grams

Please Help and Please Show your answer

Answers

can you please tell me what is your answer?

have students write a story problem that can be solved by finding the difference of 432,906 and 61,827 then have them solve the problem

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Here is a problem, Donald Trump had 432,906 supporters. After his statement about the Mexicans, his supporters decreased by 61, 827. Write out the equation and figure out how many supporters Donald Trump has now.
BTW- The answer to the problem is 371, 079.

What’s the value of x???

Answers

Answer:

x = 2

Step-by-step explanation:

x is the height of these triangles. Thus, we know all three sides of either triangle: height = x; base = 8/2, or 4; and hypotenuse √20.

Using the Pythagorean Theorem, we find x as follows:

x^2 + 4^2 = 20, or

x^2 = 4. Then x must be 2.

x = 2

Can someone plz help me

What is the surface area of the figure? A. 408 ft2 B. 458 ft2 C. 545 ft2 D. 720 ft2

Answers

There are 2 faces 7 x 5

$2*(5*7)=2*35=70ft^2$

There 2 faces 5 x 5

$2*(5*5)=2*25=50ft^2$

there are 3 faces 5 x 12

$4*(5*12)=4*60=240ft^2$

There are 2 faces 7 x 7

$2*(7*7)=2*49=98ft^2$

Now only we have to sum all of them together

$98+240+50+70=458ft^2$

$cuboid : \n \n l=12 \ ft , \ \ w = 5 \ ft , \ \ h= 7 \ ft \n \n A = 2wl + 2lh + 2hw \n \nA=2\cdot 5\cdot 12 + 2\cdot 12\cdot 7 + 2\cdot 7\cdot 5 = 120+ 168 +70 = 358 \ ft^2 \n \n cube: \n \n four \ side \ walls : \n \n s= 5 \ ft \n \n 4 \cdot s^2 = 4 \cdot 5^ 2 = 4*25 = 100 \ ft^2 \n \n surface \ area \ of \ the \ figure : \n \n 358 +100 = 458 \ ft^2 \n \n Answer : \ B. \ 458 ft^ 22$