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IRISSAK [1]
3 years ago
8

Need help on number 15,16,17 and 18

Mathematics
1 answer:
Nat2105 [25]3 years ago
4 0
15. Minutes in 365 days.
First, there are 60 minutes in an hour and 24 hours in a day. So there are 1440 minutes in a day. Multiply that by the 365 days, and you get: 1440 x 365 = 525,600.

16. Not absolutely sure about this one, but i reckon it's 16/31, as there are 16  odd days.

17. Area of a triangle is 1/2 x h x b
Now the two shaded area are = the unshaded area. So it's only one triangle, really. So it's 6 x 8 divided by 2 = 24cm²

18.  82 l in ml = 82,000
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Evaluate cot 290º. Round your answer to the nearest hundredth. Explain each step
Paladinen [302]
Looking at the unit circle:
tanӨ = tan(Ө <span>± 180k)
If we add/subtract 180° from our angle, it simply ends up on the other side of the unit circle. Since tan</span>Ө is represented as slope, the values of the two are the same.

cotӨ is defined as the reciprocal of tanӨ (1/tanӨ)
If tanӨ = tan(Ө ± 180k), then we could also say that
1/tanӨ = 1/tan(Ө ± 180k) which then becomes cotӨ = cot(Ө ± 180k)

Let's apply this to cot(290°).
Subtract 180° to find that cot(290°) = cot(110°)

cot(110°) = -cot(70°) because the angle has been reflected across the y axis, making its slope opposite.

-cot(70°) = -1/tan(70°) because of that reciprocal property from earlier
tan(70°) ≈ 2.75
-1/tan(70°) ≈ -0.36 = cot(290°)

(of course, most calculators can handle tan(110°), but if you're using a trig chart it might not be on there. include whichever steps are necessary)

5 0
3 years ago
PLLSSS REALLY URGENT <br> If g(x)=3x+4, determine n that g(-3)=g^-1(n).
grigory [225]

Answer:

we have:

g(-3) = 3.(-3) + 4 = -5

g {}^{ - 1} (n) =  \frac{1}{3n + 4}

because

g( - 3) = g {}^{ - 1} (n)

=>

- 5 =  \frac{1}{3n + 4} \\  \\  <  =  >  - 5(3n + 4) = 1 \\  \\  <  =  >  - 15n - 20 = 1 \\  \\  <  =  > n =  \frac{ - 21}{15}  \\  \\  <  =  > n =  \frac{ - 7}{5}

5 0
3 years ago
The capacity of a cylindrical water tank is 539 litres. If its height is 1.4 meter then find the radius of the base.​
natulia [17]

Answer:

350m

Step-by-step explanation:

  • capacity= volume/1000
  • but we know that volume of cylinder is πr²h so substitute it I'm the volume space
  • then substitute for π as 22/7, h as 1.4 , and also capacity as 539
  • 539= ((22/7)×r²×1.4)/1000
  • when you simplify you get r as 350m
6 0
3 years ago
THIS IS FOR 29 POINTS!!!!!
ivanzaharov [21]
So 52 words per 1 minute

364 words per x minute
52:1 as is 364:x so
divide 364 by 52 and get 7
she typed 7 minutes

so 40% means 40/100 or 4/10 

so 364=4/10
divide 364 by 2
364/2=182=2/10
multiply 182 by 5 ( to make 2/10 into 10/10) and get 910=words total to type

BUT WE WANT TO FIND WORDS LEFT so
910-364=546
she has 546 words left to type
5 0
3 years ago
Read 2 more answers
Which of the following graphs shows a linear function?
Bad White [126]

Answer:

Graph W only. But be careful it is not directly proporotional.

3 0
3 years ago
Read 2 more answers
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