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3 years ago

Find the area of an equilateral triangle (regular 3-gon) with the given measurement of 6 inch side

1 answer:

6 0

$\bf \textit{area of an equilateral triangle}\\\\ A=\cfrac{s^2\sqrt{3}}{4}~~ \begin{cases} s=length~of\\ \qquad a~side\\[-0.5em] \hrulefill\\ s=6 \end{cases}\implies A=\cfrac{6^2\sqrt{3}}{4}\implies A=9\sqrt{3}$

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23n=2.4<br> A. 3.6 <br><br> B. 7.2 <br><br> C. 1.2<br><br> D. 1.6

svp [43]

$\huge\text{Hey there!}$

$\mathsf{23n =2.4}$

$\large\text{DIVIDE 23 to BOTH SIDES}$

$\mathsf{\dfrac{23n}{23}=\dfrac{2.4}{23}}$

$\large\text{Cancel out: }\mathsf{\dfrac{23}{23}}\large\text{ because it gives you 1}$

$\large\text{Keep: }\mathsf{\dfrac{2.4}{23}}\large\text{ because it helps us solve for n}$

$\mathsf{n = \dfrac{2.4}{23}}$

$\mathsd{\dfrac{2.4}{23}= 2.4\div 23\rightarrow \bf 0.104348}$

$\boxed{\boxed{\large\textsf{Answer: \huge n = \bf 0.104348}}}\huge\checkmark$

$\boxed{\textsf{NONE OF THE ABOVE is your ANSWER}}$

$\text{Good luck on your assignment and enjoy your day!}$

~ $\frak{Amphitrite1040:)}$

8 0

2 years ago

A commonly used unit of mass in the English system is the pound-mass, abbreviated lbm, where 1 lbm = 0.454 kg. What is the densi

Rashid [163]

<h2>Density of ethyl alcohol is 56.25 lbm/ft³ </h2>

Step-by-step explanation:

We have 1 lbm = 0.454 kg

1 kg = 2.203 lbm

1 m = 3.28 ft

Density of ethyl alcohol = 9.01 x 10² kg/m³

$\texttt{Density = }\frac{9.01\times 10^2\times 2.203}{3.28^3}=56.25lbm/ft^3$

Density of ethyl alcohol = 56.25 lbm/ft³

3 0

3 years ago

What is an equation of the line that passes through the points ( 0,-7) and ( 5, -1)

tresset_1 [31]

Answer:

y = 5/6x - 5.167

y = 5/6x - 31/6

Step-by-step explanation:

The equation of a line

y = mx + c

Step 1: find the slope

m = y2 - y1 / x2 - x1

Given points

( 0 , -7) ( 5 , -1)

x1 = 0

y1 = -7

x2 = 5

y2 = -1

Insert the values into the equation

m = -1 - (-7) / 5 - 0

m = -1 + 7 / 5

m = 6/5

y = 6/5x + c

Step 2: sub any of the two points given into the equation

y = 5/6x + c

( 5 , -1)

x = 5

y = -1

-1 = 5/6(5) + c

-1 = 5*5/6 + c

-1 = 25/6 + c.

c = -1 - 25/6

LCM = 6

c = -6 - 25 / 6

c = -31/6

c = -5.167

Step 3: sub c into the equation

y = 5/6x + c

y = 5/6x - 31/6

y = 5/6x - 5.167

The equation of the line is

y = 5/6x - 5.167

7 0

3 years ago

7 divided into $50.40

PolarNik [594]

Answer:

0.138repeating

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Mrs. Stoddard has 264 crayons for her art class of 22 students. How many crayons will each student get if the crayons are divide

DedPeter [7]

Answer:

Step-by-step explanation:

264/22

8 0

3 years ago