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Lelechka [254]
2 years ago
14

100 PTS TO THE FIRST PERSON WHO ANSWERS IT CORRECTLY

Mathematics
1 answer:
torisob [31]2 years ago
4 0

Step-by-step explanation:

the point coordinates at the end of their flights are

x = cos(angle) × distance

y = sin(angle) × distance

remember, cosine is on the x-axis (left and right values), sine is on the y-axis (up and down values).

and the values of sine and cosine are standard for the norm circle with radius = 1.

but in such cases the radius is much larger that 1, and we have to multiply it with the trigonometric functions for scaling reasons.

the radius is always the angled connection from the center of the circle to the point on the arc of the circle. in our cases the travel distances of the shuttles.

so, if we consider the central staffing point as (0, 0), they end up at the following coordinates :

the inner (lower) angle for Mr. Scotts trip is

90-30 = 60°

and his coordinates are

(cos(60)×100, sin(60)×100) =

= (0.5×100, 86.60254038...) = (50, 86.60254038...)

the inner (lower) angle for Mr. Spock's trip is

90-62 = 28°

and his coordinates are

(cos(28)×110, sin(28)×110) =

= (97.12423521..., 51.64187191...)

the distance between these 2 points is

distance² = (Spockx - Scottx)² + (Spocky - Scotty)² =

= (47.12423521...)² + (-34.96066847...)² =

= 2,220.693545... + 1,222.24834... =

= 3,442.941885...

distance = 58.67658719... km

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Which of these is the longest<br> 1 foot<br> 1 yard<br> 3 feet<br> 39 inches<br> 2.5 feet
Arisa [49]

39 inches is the longest bc a foot is 12 inches and the longest feet the is 3 feet or a yard. So 12  x  3 =  36 and that is 3 inches short than 39 so 39 is the longest.

5 0
3 years ago
Can someone please help me with these two questions?
Dima020 [189]

the first picture you have to use B X L X H ( base, length and height) and i got 1728 mm^3

for the second one, you have to use the formula L X H ( P+ Q/2) ( length times height times the product of the base width plus the top width divided by 2 and i got the answer of 196 m^3.

i hope this helps :)

8 0
3 years ago
Nate is exponentially gaining Twitter followers! His current amount of followers is 146. His followers are increasing at a 24% r
tia_tia [17]

Answer:

(a) Growth

(b)\ y = 146(1.24)^x

Step-by-step explanation:

Given

a= 146 -- current

r = 24\% --- rate

Solving (a): Growth or decay

The question says his followers increases each day by 24%.

Increment means growth.

<em />

<em>Hence, it is a growth problem</em>

Solving (b): Equation to represent the scenario.

Since the rate represents growth, the equation is:

y = a(1 + r)^x

Substitute: a= 146 and r = 24\%

y = 146 * (1 + 24\%)^x

y = 146 * (1 + 0.24)^x

y = 146 * (1.24)^x

y = 146(1.24)^x

5 0
3 years ago
Can some one please help me !!
irina1246 [14]
Should be 55 I believe
3 0
3 years ago
Read 2 more answers
HELP PLEASE I NEED ANSWER ASAP!
mixas84 [53]

Answer:

86+18\sqrt{2}

Step-by-step explanation:

Use the properties of 45-45-90 triangles to get a side length of 18 for the 2 legs of the isosceles triangle. Then add 43+18, which is the shorter length of the rectangle, +25, which is the longer edge, +18\sqrt{2}. The answer is now 86+18\sqrt{2}.

3 0
2 years ago
Read 2 more answers
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