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CaHeK987 [17]
3 years ago
12

Write forty thousand,sixteen in expanded form

Mathematics
1 answer:
noname [10]3 years ago
8 0

40,000 + 10 + 6

easy peasy  :)


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HELP PLEASE! Can you please explain so I can understand how it was completed?
nlexa [21]

Answer:

(3 square root of 2 , 135°), (-3 square root of 2 , 315°)

Step-by-step explanation:

Hello!

We need to determine two pairs of polar coordinates for the point (3, -3) with 0°≤ θ < 360°.

We know that the polar coordinate system is a two-dimensional coordinate. The two dimensions are:

  • The radial coordinate which is often denoted by r.
  • The angular coordinate by θ.

So we need to find r and θ. So we know that:

r=\sqrt{x^{2}+y^{2}}       (1)

x = rcos(θ)                                   (2)

x = rsin(θ)                                    (3)

From the statement we know that (x, y) = (3, -3).

Using the equation (1) we find that:

r=\sqrt{x^{2}+y^{2}}=\sqrt{3^{2}+(-3)^{2}} = 3\sqrt{2}

Using the equations (2) and (3) we find that:

3 = rcos(θ)

-3 = rsin(θ)

Solving the system of equations:

θ= -45

Then:

r = 3\sqrt{2}[/tex]

θ= -45 or 315

Notice that  there are two feasible angles, they both have a tangent of -1. The X will take the positive value, and Y the negative one.

So, the solution is:

(3 square root of 2 , 135°), (-3 square root of 2 , 315°)

4 0
2 years ago
The mean height of a group of 500 nonsmoking college students is 74 inches and the standard deviation is 5 inches. What is the p
Brrunno [24]
500 (non smokers)÷ 25(random students out of the group)= 20 inches. 20 inches ÷ 74 inches= 3.70
3 0
3 years ago
The width of a rectangle is 1.9 feet. The perimeter is 7.4 feet. What is the length?
dimaraw [331]

Answer:2.8 feet

Step-by-step explanation:

length(l)=?

breadth(b)= 1.9 feet

perimeter(p)=7.4 feet

we know,

p=2(l+b)

7.4=2(l+1.9)

7.4=2l+3.8

2l=7.4-3.8 (changing side and bringing 3.8 to 7.4 it gets -3.8)

l=3.6/2

l=2.8 feet

Hence,length is 2.8 feet

7 0
2 years ago
What is the value of x in the diagram?
DerKrebs [107]
The answer is 27 (hope this helps you)
7 0
2 years ago
Read 2 more answers
The figure shown is created by joining three rectangles. Enter the area of the figure, in square centimeters. Round to the neare
Basile [38]

Answer:

235

Step-by-step explanation:

first, separate the floor into 3 different rectangles to calculate the area and then add them together.

area of rec=L*B

rec 1: 9*12.5=112.5

rec 2: (13.5-5.5)*(19.5-9-7)=28

rec 3:7*13.5=94.5

Then:

112.5+28+94.5=235

7 0
3 years ago
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