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kvv77 [185]
3 years ago
5

What is Sinx =125/500

Mathematics
1 answer:
Anastasy [175]3 years ago
5 0

Answer:

14.4775121859299

Step-by-step explanation:

sinx = 125/500

sinx = 1/4

or, x = arcsin(1/4)

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The Smith Family made an $800 down payment and pays $75 per month for new furniture. At the same time the Cooper family made a $
spin [16.1K]
75m + 800 = 95m + 500
Solve that equation
Which should get you m=15
15 is your answer
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3 years ago
Given the formula A = 5h (B + b); solve for B.<br> 2
stellarik [79]

Answer:

B = A/5h - b; You could use

B = (A - 5hb)/5h  This just puts everything over a common denominator.

Step-by-step explanation:

A = 5h (B + b)          Divide both sides by 5h

A/5h = B + b             Subtract b from both sides.

A/5h - b = B

6 0
3 years ago
The distance from Earth to Mars is 136,000,000 miles. A spaceship travels at 31,000 miles per
posledela
136,000,000/31,000= how many hours for the spaceship to reach mars
136,000,000/31,000/24= how many days for the spaceship to reach mars
136,000,000/31,000/24 is approx. 182.7 days or 183 days (rounded up b/c of "to the nearest day").
7 0
3 years ago
Read 2 more answers
Mary is the last person to get on a ferris wheel ride at a fair (the ride begins once she is on). The ferris wheel has a radius
Aleks [24]

Answer:

a) For sketch see attached picture.

 y=-8cos(\pi t)+10

b) Mary will be able to enjoy the scenery for a total of 1.68 min or about 101 seconds.

Step-by-step explanation:

a) In order to find the algebraic representation of the problem, we must start by drawing a sketch of what the problem looks like (see attached picture). Next, we can analyze it to see what function better fits the situation. In this case, since the ride starts at the lowest point, then we are talking about a negative cos function. A cos function has the followng general form:

y= Acos(\omega t - \phi) + C

where:

A= amplitude

\omega=angular speed

t=time

\phi= phase shift

C= vertical shift.

In this case the amplitude will be the radius of the ferris wheel, so:

A=-8

it's negative because it starts at the lowest point.

the angular speed is the angle the ride will move in a given amount of time. In this case:

\omega=\frac{\pi rad}{1 min}

\omega=\pi rad/min

There will be no phase shift for this problem.

the vertical shift is the height of the platform, so:

C= 2

so the algebraic expression is:

y=-8cos(\pi t)+10

b) In order to find the total time for which she will enjoy the ride we must start by building an inequality:

-8cos(\pi t)+10>12

and solve it for t. We can start by turning it into an equation, solve it for t and find the answers that can be found into its domain, in this case D=[0,4]

so we get:

-8cos(\pi t)+10=12

we subtract a 10 from both sides so we get:

-8cos(\pi t)=2

and divide 8 to both sides so we get:

cos(\pi t)=-\frac{1}{4}

Next, we take the inverse cosine to both sides and get different answers:

\pi t = 1.823+2\pi n

and

\pi t=4.46 + 2\pi n

we take both equations and divide them into pi so we get:

t = 0.58+2 n

and

t=1.42 + 2n

so now we find the possible answers that are between 0 and 4 minutes, this is for n=0 and 1, so we get the following times:

t={0.58, 1.42, 2.58, 3.42} min

we can now build our possible intervals for which the ferris wheel is higher than 12 m so we get the following intervals:

(0, 0.58) (0.58, 1.42) (1.42, 2.58) (2.58, 3.42) and (2.58, 4)

so we pick a test value for each of the intervals and test it on our equation. If the equation gives us a number that is greater than 12, then we have a valid interval. If we get a value that is less than 12, then we just discard that interval.

for (0, 0.58) we use 0.5 and get an answer of 10. We discard this interval.

for (0.58, 1.42) we use 1 and get an answer of 18. This is a valid interval.

for (1.42, 2.58) we use a 2 and get an answer of 2. We discard this interval.

for (2.58, 3.42) we use a 3 and get an answer of 18. This is a valid interval.

and finally, for (2.58, 4) we use a 3.5 and get an answer of 10. We discard this interval

So we have two valid intervals now: (0.58, 1.42) and (1.42, 2.58). So now we can use them to find the time for which Mary will enjoy the scenery.

t_{1}=1.42min-0.58min=0.85min

t_{2}=2.58min-1.42min=0.85min

t_{total}=0.85min+0.85min

t_{total}=1.68min

so:

Mary will be able to enjoy the scenery for a total of 1.68 min or about 101 seconds.

8 0
3 years ago
Can anyone explain #4 on how to do it
Lana71 [14]
Here is the formula for find the one inside of the polygon: 
(n-2).180/n (n shows how many sides does polygon have)
so now we can solve the equation==== (n-2).180/n=144
1144n=(n-2).180
144n=180n-360
360=36n
n=10 
so we call it decagon :) 

5 0
3 years ago
Read 2 more answers
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