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luda_lava [24]
3 years ago
8

1. use the graph of y = sin θ to find the value of sin θ for each value of θ. 270°

Mathematics
2 answers:
Eddi Din [679]3 years ago
7 0
You can determine sinθ by looking at the y-axis and θ by looking at the x-axis.

θ = 90°, sinθ = 1
θ = 180°, sinθ = 0
θ = 270°, sinθ = -1
θ = 360°, sinθ = 0
viva [34]3 years ago
5 0

Answer:

Step-by-step explanation:

We can clearly see the values of sin x at the vertical axis that is y-axis because the function is

y= sin x

\theta will be at x place and the entire will be y

Hence, look at y-axis to get the value of sin x

sin0^{\circ}=0

sin90^{\circ}=1

sin180^{\circ}=0

sin270^{\circ}=-1

sin360^{\circ}=0

Since, The range of sinx is [-1,1] value will fluctuate between this interval only.


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Describe the value of the 9 in 926,415 use at least 2 terms from the word list in your explanation
Sedbober [7]

Answer:

The value of 9 in 926,415 is nine hundred thousands

Step-by-step explanation:

* Lets explain how to write a number in the expand form

- Expand form is a way of writing numbers to see the math value

 of individual digits

- Ex: the expand form of 23,456 is 20,000 + 3,000 + 400 + 50 + 6

- Place value is the value represented by a digit in a number

- Ex: the place value of 5 in 250 is tens

* <em>Lets solve the problem</em>

- The number is 926,415

- The number formed from 6 digits

- The expand form of the number is:

  926,415 = 900,000 + 20,000 + 6,000 + 400 + 10 + 5

- <em>Lets write the place value of each digit</em>

# The place value of 5 is ones

# The place value of 1 is tens

# The place value of 4 is hundreds

# The place value of 6 is thousands

# the place value of 2 is ten thousands

# The place value of 9 is hundred thousands

∴  The place value of 9 in the number is hundred thousands

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8 0
3 years ago
Consider three consecutive positive integers, such that the sum of the
Greeley [361]

Answer:

  17

Step-by-step explanation:

Let x represent the smaller integer. Then we have ...

  (x +1)² +(x +2)² = 40x +5

  2x² +6x +5 = 40x +5

  x² -17x = 0 . . . . . subtract (40x+5), divide by 2

  x(x -17) = 0 . . . . . factor

The solution of interest is x = 17.

The smaller integer is 17.

4 0
2 years ago
Arrange these numbers in order from least to greatest.​
Verdich [7]

Answer:

0.725, 7/25, 7.5%

Step-by-step explanation:

Hope this helps! Have a great day ahead <3

5 0
3 years ago
Read 2 more answers
Simplify the expression (4x − 3)(x + 5).
Alexxx [7]

Answer:

5x + 2

Step-by-step explanation:

(4x - 3)(x + 5)

Start by combining like terms.

4x + x = 5x   -3 + 5 = 2

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8 0
3 years ago
Researchers are monitoring two different radioactive substances. They have 300 grams of substance A which decays at a rate of 0.
Korolek [52]

Answer:

231.59 years

Step-by-step explanation:

To model this situation we are going to use the exponential decay function:

f(t)= a (1-b)^t

where f(t) is the final amount remaining after t years of decay

a is the final amount

b is the decay rate in decimal form

t is the time in years

For Substance A:

Since  we have 300 grams of the substance, a=300. To convert the decay rate to decimal form, we are going to divide the rate by 100%:

r = 0.15/100 = 0.0015. Replacing the values in our function:

f(t) = a (1-b)^t

f(t) = 300 (1-0.0015)^t

f(t) = 300 (0.9985)^t equation (1)

For Substance B:

Since we have 500 grams of the substance, a= 500. To convert the decay rate to decimal form, we are going to divide the rate by 100%:

r=0.37/100= 0.0037. Replacing the values in our function:

f(t) = a (1-b)^t

f(t)= 500 (1-0.0037)^t

f(t)=500(0.9963)^t equation (2)

Since they are trying to determine how many years it will be before the substances have an equal mass M, we can replace f(t) with M in both equations:

M=300(0.9985)^t equation (1)

M=500(0.9963)^t equation (2)

We can conclude that the system of equations that can be used to determine how long it will be before the substances have an equal mass, M, is :

{M=300(0.9985)^t

{M=500(0.9963)^t

7 0
3 years ago
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