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barxatty [35]
3 years ago
15

Convert the polar coordinates (120.2, 119°) into rectangular coordinates. Round the rectangular coordinates to the nearest hundr

edth.
Mathematics
1 answer:
Alchen [17]3 years ago
7 0
The conversion is
  x = magnitude × cos(angle)
  y = magnitude × sin(angle)
or
  (x, y) = 120.2(cos(119°), sin(119°)) ≈ (-58.27, 105.13)

_____
A suitable graphing calculator handles this easily.
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Which of the following statements are true for sin (-430°)
stira [4]

Answer:

Step-by-step explanation:

sin(-430)=-sin(430)=-sin(360+70)=-sin 70

8 0
2 years ago
The two-way table shows the number of students that would rather be a member of the band or chorus if they could only choose one
sergey [27]

Answer:

There are 18 students in Grade 7, 10 are in band, so 10/18 = 0.56 are in band.

There are 12 students in Grade 8, 10 are in band, so 10/12 = 0.83 are in band.

Students in Grade 8 are more likely to be members of the band.There are 18 students in Grade 7, 10 are in band, so 10/18 = 0.56 are in band.

There are 12 students in Grade 8, 10 are in band, so 10/12 = 0.83 are in band.

Students in Grade 8 are more likely to be members of the band.

4 0
3 years ago
Write the point slope form of an equation of the line through the points
denis23 [38]

Answer:

the answer is D

how to try the values of the x and y

(x,y)

7 0
3 years ago
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Find -2/3 divided by 4/6<br> -1<br> 4/9<br> -9/4<br> 1
nalin [4]

Answer:

-1

Step-by-step explanation:

The given expression is:

-\frac{2}{3}\div \frac{4}{6}

We multiply by the reciprocal to get:

-\frac{2}{3}\times \frac{6}{4}

We factor so that we can cancel easily:

-\frac{2}{3}\times \frac{3\times 2}{2\times 2}

Cancel the common factors to get:

-\frac{1}1}\times \frac{1\times 2}{1\times 2}

This simplifies to:

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6 0
3 years ago
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Graded Assignment Unit Test, Part 2: More Math Models Answer the questions. When you have finished, submit this assignment to yo
Black_prince [1.1K]

Answer:

Y(n) = 400(2.5)^n

Y = 3,814,697 rice weevils

16.1 weeks

Step-by-step explanation:

To predict the population of rice weevil for any week after the start of the study ; wwe use an exponential function for this purpose :

y(n) = A(1 + r)^n

Where;

Y(n) = population at week n

r = growth rate ; n = number of weeks

A = initial population at the start of the study

r = 150% = 1.5

Hence, we have the equation :

Y(n) = 400(1 + 1.5)^n

Y(n) = 400(2.5)^n

B.)

Population after 10 weeks

n = 10

Y(10) = 400(2.5)^10

Y = 400 * 9536.7431640625

Y = 3814697.265625

Y = 3,814,697 rice weevils

C)

When population will reach 1,000,000,000

We have :

1,000,000,000 = 400(2.5)^n

1000000000 / 400 = 2.5^n

2500000 = 2.5^n

Take the log of both sides :

log(2500000) = nlog(2.5)

6.3979400 = n * 0.3979400

n = 6.3979400 / 0.3979400

n = 16.077649

n = 16.1 weeks approximately

5 0
2 years ago
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