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KatRina [158]
3 years ago
14

a speedboat travels at 55 km/h for 9 minutes calculate how far it travels in this time give your answer in metres.

Mathematics
1 answer:
umka21 [38]3 years ago
7 0
(55x1000)/60x9=8250m
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Write the expression as the sine, cosine, or tangent of an angle. sin 5x cos x - cos 5x sin x
mrs_skeptik [129]

Answer:

sin 5x cos x - cos 5x sin x = sin(4x)

Step-by-step explanation:

Given that the trigonometric expression,

sin 5x cos x - cos 5x sin x

Here we use the "sum and difference formulas"

Sum and Difference Formulas

sin(A+B)=sin A cos B + cos A sin B

sin(A-B)=sin A cos B - cos A sin B

cos(A+B)=cos A cos B - sin A sin B

cos(A-B)=cos A cos B + sin A sin B

So,

sin 5x cos x - cos 5x sin x = sin (5x - x)

sin 5x cos x - cos 5x sin x =  sin(4x)

That's the final answer.

6 0
4 years ago
(ᗒᗣᗕ)՞<br> Help.....<br> Plz
zhenek [66]

Answer:

a line graph!

Step-by-step explanation:

have you ever seen the line graph emoji?

businesses usually use line graphs to show their profit over the year, month, or week!

3 0
3 years ago
Victor wants to purchase a perpetuity paying 100 per year with the first payment due at the end of year 11. He can purchase it b
Kitty [74]

Answer:

K = 151.9422481

Step-by-step explanation:

At the end of year 10, your perpetuity is worth 100/i

(1) is worth 90×s_{10%i}

So if you set them equal you get 90*[(1+i)^10 - 1]/i = 100/i or [(1+i)^10 - 1] = 10/9 or (1+i)^10 = 19/9 or i = 0.077583937

So now the question compare (1) to (2), at t = 0

(1) is worth 90×a_{10%i} = 90(1 - 1/(1.077583937)^10)/0.077583937 = 610.5441743

(2) is worth K×a_{5%i} = 4.018264714×K

Therefore K = 151.9422481

6 0
3 years ago
If a weight hanging on a string of length 5 feet swings through 6° on either side of the vertical, how long is the arc through w
garik1379 [7]

Answer:

  1.047 ft

Step-by-step explanation:

The length of an arc is given by ...

  s = rθ

where s is the arc length, r is the radius, and θ is the central angle in radians. Your arc subtends an angle of 12° = (12·π/180) = π/15 radians. The length of the arc is then ...

  s = (5 ft)(π/15) = π/3 ft ≈ 1.047 ft

6 0
4 years ago
Which factors is multiplied and give you 24 and when added gives you -4
klio [65]

Answer: the no.s are-

2.472

-6.472

Step-by-step explanation:

xy=24-----1

x+y=-4------2

from 2 we get x=-4-y

sustituting=

into 1 we get

quadratic eq = y^2 + 4y + 24=0

so

-4+- root 16-96/2

thus on further solving we get -2 +-4.472

on adding= -2+4.472= 2.472

on subtraction= -2 -4.472= -6.472

5 0
3 years ago
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