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Julli [10]
3 years ago
11

Use the graph of y=sin theta to find the value of 2theta for theta = pi/4 radians

Mathematics
1 answer:
Mariana [72]3 years ago
3 0
We have that
y=sin x

for x=2theta
<span>theta = pi/4 radians
so
x=2*pi/4-----> x=pi/2

using a graph tool
see the attached figure

for x=pi/2
y=sin pi/2------> y=1
</span>
the solution is
1

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Scientists plan to release a space probe that will enter the atmosphere of a gaseous planet. The temperature of the gaseous plan
vladimir1956 [14]

Answer:

its 450 k

Step-by-step explanation:

It is given that the temperature of the gaseous planet is linearly related with height of the atmosphere. we can write this in the mathematical equation:

y = m x +c

where y is the temperature values, x is height, m is the slope and c is the y-intercept. we have been given two sets of value in the image, using which we can find the value of slope in y-intercept.

at x = 18.40 km, y = 147.54 K

⇒147.54 = 18.40 m + c      

⇒c = 147.54 - 18.40 m  ..(1)

at x =78.11 km, y = 567.00 K

⇒567.00 =78.11 m + c       ..(2)

Put equation 1 in 2 and solve:

⇒567.00 =78.11 m + 147.54 - 18.40 m

⇒419.46 = 59.71 m

⇒ m =419.46 ÷59.71 = 7.025 K/km

c = 147.54 - 18.40 × 7.025 = 18.28 K

At height, x = 61.5 km the approximate temperature is :

y = 7.025 K/km ×  61.5 km + 18.28 K = 450.3 K

Thus, the approximate temperature at altitude 61.5 km is 450 K.

7 0
3 years ago
Round 0.60666667 to the nearest cent<br><br><br><br><br><br> Please
nekit [7.7K]

Answer:

since .606 is higher than 5 than itd be 1 cent as in:

1 2 3 4 are below 5 so it would stay the same and numbers 56789 are 5 and higher so itd be up more

Step-by-step explanation:

5 0
2 years ago
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Alexus [3.1K]

Answer:

Russell family's sprinkler: 40 hours

Gonzales family's sprinkler: 20 hours

Step-by-step explanation:

Let's call the amount of time the Russell family's sprinkler was on by X, and the Gonzales family's sprinkler by Y.

We can then formulate the equations:

X + Y = 60

X*35 + Y*40 = 2200

We can solve this system multiplying the first equation by 35, and then subtracting the result from the second equation:

35*X + 35*Y = 2100

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Y = 20

from the first equation:

X + 20 = 60

X = 40

Russell family's sprinkler: 40 hours

Gonzales family's sprinkler: 20 hours

8 0
3 years ago
A car brought for 13000 deprecitates at 15 percent per year find value of car after 5 years
Nesterboy [21]

the value of the car will be 3250 after 5 years

Step-by-step explanation:

the value of the car = 13000

rate of interest = 15%

time = 5 years

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=\frac{13000 X 15 X 5}{100}

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after 5 years the value of the car is = 13000 - 9750 = 3250

4 0
3 years ago
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5 0
3 years ago
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