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3 years ago

What is the expanded form for 114,006

Mathematics

2 answers:

Blababa [14]3 years ago

4 0

100,000 + 10,000 + 6

If you want multiplaction here it is

1 x 100,000 + 1 x 10,000 + 4 x 1,000 + 6 x 1 = 114,006

____ [38]3 years ago

3 0

In expanded form, the answer would look like this:

100,000 + 10,000 + 4,000 + 6

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Can I get a picture

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2 years ago

when Best Buy sells a Samsung 32" flat screen television for $219.99, does the 32" represent the length, width, or diagonal of t

Varvara68 [4.7K]

Answer:

Diagonal

Step-by-step explanation:

The measure of a television is always indicated by providing the length of the diagonal, in inches.

In fact, the actual length and height of a 32" tv are:

- Length:

L = 27.9 inches

- Height:

h = 15.7 inches

For an object with a rectangular shape, such as the TV, the diagonal of the object can be found by using Pythagorean's theorem:

$d=\sqrt{L^2+h^2}$

where

L is the length of the rectangle

h is the height of the rectangle

Substituting the values above, we find:

$d=\sqrt{(27.9)^2+(15.7)^2}=32.0 in.$

Which corresponds to the diagonal of the TV.

6 0

3 years ago

Find the area of the shaded regions below. Give your answer as a completely simplified exact value in terms of π (no approximati

pochemuha

Answer: 8 (Pi - sqrt(3))

Discussion:

The area of the shaded region is that of the semicircle minus the area of the triangle..

Area of semicircle = 1/2 * Pi * R^2

Where R^2 is the square of the radius of the circle. In our case, R ( = OC)

= 4 so the semicircle area is

(1/2) * Pi * (4^2) = (1/2) * Pi * 16 = 8 Pi

Area of triangle.

First of all, angle ACB is a right angle ( i.e. 90 degrees).

* This is the Theorem of Thales from elementary Plane Geometry. *

so by Pythagoras

AC^2 + BC^2 = AB^2

But CB = 4 (given) and AB = 4*2 = 8 ( the diameter is twice the radius).

Substituting these in Pythagoras gives

AC^2 + 4^2 = 8^2 or

AC^2 = 8^2 - 4^2- = 64 - 16 = 48

Hence AC = sqrt(48) = sqrt (16*3) = 4 * sqrt(3)

We are almost done! The area of the triangle is given by

(1/2) b * h = (1/2) BC * AC = (1/2) 4 * (4 * sqrt(3)) = 8 sqrt(3)

We conclude the area area of the shaded part is

8 PI - 8 sqrt(3) = 8 (Pi - sqrt(3))

Note that sqrt(3) is approx 1.7 so (PI - sqrt(3)) is a positive number, as it better well be!

8 0

2 years ago

An IQ test is designed so that the mean is 100 and the standard deviation is 19 for the population of normal adults. Find the sa

sleet_krkn [62]

We use the formula:
x± s <span>t_<span>(1−c)/2 / </span></span>√n = 5

(1 - c)/2 = (1 - 0.95) / 2 = 0.025
Using the t score calculator at this value, at the 95% confidence internval,
t = 0.5080, So
100 - 19(0.5080) / √n = 5
Solving for n
n = 97

a) 97
b) yes

8 0

3 years ago

Read 2 more answers

Solve the below system of equations using the best method. Please describe the method used [substitution, graphing, elimination,

lakkis [162]

Since both equations are solved for y, use substitution.

y = 2x + 3
y = -x - 5

2x + 3 = -x - 5

3x + 3 = -5

3x = -8

x = -8/3

Now substitute -8/3 in for x in the original first equation, and solve for y.

y = 2x + 3

y = 2(-8/3) + 3

y = -16/3 + 9/3

y = -7/3

Solution: (-8/3, -7/3)

4 0

2 years ago