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1 year ago

Find the solution and enter your answer as an ordered pair (x, y). Be sure to include parentheses and a comma.

Mathematics

1 answer:

ipn [44]1 year ago

8 0

Answer:

Step-by-step explanation:

the first one is:

x= 3

y= 2

the second one is:

x= -2

y= 8

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Is each number correctly expressed in scientific notation? Choose Yes or No.

solong [7]

Answer:

Step-by-step explanation:

The first one is incorrect because would be 4,836,000 instead of 4,836,000,000. The correct notion would be $4.836*10^9$

6 0

2 years ago

Find the area of the regular polygon

Y_Kistochka [10]

Answer:

A = 374.123 ft^2

Step-by-step explanation:

First, lets calculate the perimeter:

Perimeter (p) = side length (s) * number of sides (n)

$p = s * n$

$p = 12 * 6$

$p = 72$

Next, lets find the apothem, which is the shortest length from any side to the middle. It's like the radius in a circle, but more complicated.

Apothem (a) = side length (s) / ( 2 * tan(180/number of sides (n)) )

$a = \frac{s}{2 * tan (\frac{180}{n} )}$

$a = \frac{12}{2 * tan (\frac{180}{6} )}$

$a = \frac{12}{2 * \frac{\sqrt{3} }{3}}$

$a = \frac{12}{\frac{2\sqrt{3} }{3}}$

$a = \frac{12*3}{2\sqrt{3}}$

$a = \frac{6*3}{\sqrt{3}}$

$a = \frac{18}{\sqrt{3}}$

Now, finally, to find the area of a regular polygon, we use the following equation:

Area (A) = ( apothem (a) * perimeter (p) ) / 2

$A = \frac{a * p}{2}$

$A = \frac{\frac{18}{\sqrt{3} } * 72}{2}$

$A = \frac{18}{\sqrt{3}} * 36$

$A = \frac{640}{\sqrt{3}}$

Turning into a decimal:

$A = 374.123 ft ^2$

8 0

2 years ago

A customer is making a deposit and would like to receive $25.00 in cash back. select at least one correct answer of how you coul

IrinaVladis [17]

A twenty dollar bill and a five.

7 0

2 years ago

Please help me I beg you substituteion with negative number & order of operations unite 2

Leto [7]

Answer:

see explanation

Step-by-step explanation:

(10)

To evaluate f(- 4) substitute x = - 4 into f(x)

f(x) = 7x - 4x + 3 = 3x + 3

f(- 4) = 3(- 4) + 3 = - 12 + 3 = - 9

(11)

To evaluate f(- 2) substitute x = - 2 into f(x)

f(- 2) = 2(- 2)² - 8 = 2(4) - 8 = 8 - 8 = 0

(12)

To evaluate g(- 3) substitute x = - 3 into g(x)

g(- 3) = - 2(- 3)² + 3(- 3) = - 2(9) - 9 = - 18 - 9 = - 27

4 0

2 years ago

How to find height of a triangular prism where length is 9, width is 3.5, and height is unknown. Volume is 50.4, and explain ans

riadik2000 [5.3K]

*The width in your question - I assumed it is refers to the height of the triangle base.

Volume of a triangle prism = base area x height

The base is a triangle:
Volume of a triangle prism = (1/2 x base x height₁) x height₂

Plug in the values and solve for height₂:

50.4 = (1/2 x 9 x 3.5) x height

50.4 = 15.75 x height

height = 50.4 ÷ 15.75

height = 3.2 units

-----------------------------------------
Answer: Height = 3.2 units
-----------------------------------------

5 0

2 years ago