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4 years ago

Translate each sentence into a formula

Mathematics

1 answer:

Bas_tet [7]4 years ago

6 0

1) Perimeter=2length+2width
This is the formula for finding the perimeter of a rectangle

2) Density=mass/volume
The “Quotient” is the answer to a division problem (like how the “sum” is the answer to an addition problem) which is why we know to divide mass and volume

3) Force = mass*acceleration
The “product” is the answer to a multiplication problem which is why we know to multiply mass and acceleration

4) surface area = 6*L^2
The formula used to calculate the area of a square is L^2. The problem tells us that surface area is the sum of all the faces of a 3D shape. Because there are 6 sides on a cube, we multiply L^2 by 6.

Hope this helps!

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Write a system of inequalities using the given graph

ziro4ka [17]

For dark line

(0,1)
(-1,-4)

Slope

m=-4-1/-1=5

Equation in point slope form

y-1=5x
y=5x+1

Put (0,0)

As line is dark sign is ≤

The inequality

y≤5x+1

For dashed line

(2,0)
(0,-2)

Equation in intercept form

x/2-y/2=1
x-y=2
y=x-2

Put (0,0)

0>-2

Symbol is >

Inequality is

y>x-2

7 0

3 years ago

How do you compare 77,392 67,993

S_A_V [24]

Answer: 77,392 is bigger

Step-by-step explanation:

We obviously know 77,000 is bigger 67,000. Just looking at the thousands place we can tell which number is bigger. We can also write this as 77,392 > 67,993.

Hope this helps :)

3 0

3 years ago

The pie chart to the right shows how adults rate their financial shape. Suppose 4 people are chosen at random from a group of 11

vekshin1

Answer:

Step-by-step explanation:

Given that a pie chart shows data as

Excellent 7%

Good 44%

Fair 35%

Poor 13%

Other 1%

If 4 people are chosen at random we find that each person is independent of other and there are two outcomes either excellent or not excellent.

p = Prob for success = p = 7%=0.07

q = Prob for non success = 1-0.07 = 0.93

If x is a random variable representing the excellent persons then X is binomial with n =4, p = 0.07

Required probability = P(X=4)

= $p^4\\=(0.07)^4\\=0.00002401$

8 0

3 years ago

Read 2 more answers

What is 1 plus 1? any guesses? any guesses? any guesses?

Alex17521 [72]

Answer:

Obviously, it's 2

Step-by-step explanation:

First, 1 is 1x1, so branch out under both 1's and put 1 x 1. Then, you add 1 + 1 + 1 + 1, which is 4. Then you do 4 - 2 since it is the two 1's in the original problem, and you get 2.

This is SUPER extra...

As well as mathematically incorrect lol

7 0

3 years ago

Read 2 more answers

The lateral surface area of a cube is 324 cm ² . Find its volume and total surface area

AfilCa [17]

Step-by-step explanation:

<h2><u>Given :</u></h2><h2 />

Lateral Surface Area of Cube = 324 cm²

$\begin{gathered} \\ {\underline{\rule{200pt}{3pt}}}\end{gathered}$

Volume of the Cube = ?

Total Surface Area of the Cube = ?

$\begin{gathered} \\ {\underline{\rule{200pt}{3pt}}}\end{gathered}$

<h2><u>Solution :</u></h2>

<u>~ Formula U</u><u>s</u><u>e</u><u>d</u><u> :</u>

Lateral Surface Area :

${\red{\dashrightarrow}} \: \: {\underline{\boxed{\purple{\sf{ Lateral \: Surface \: Area {\small_{(Cube)}} = 4 a² }}}}}$

Volume :

$\large{\red{\dashrightarrow}} \: \: {\underline{\boxed{\purple{\sf{ Volume{\small_{(Cube)}} = a³ }}}}}$

Total Surface Area :

$\large{\red{\dashrightarrow}} \: \: {\underline{\boxed{ \red{\sf{ Total \: Surface \: Area {\small_{(Cube)}} = 6a² }}}}}$

$\begin{gathered} \\ {\qquad{\rule{150pt}{1pt}}}\end{gathered}$

<u>~ Calculating the Side :</u>

$\\{\longmapsto{\qquad{\sf{ \cancel\dfrac{324}{4} = a² }}}}$

${\longmapsto{\qquad{\sf{ LSA = 4a² }}}} \\ \\$

${\longmapsto{\qquad{\sf{ 324 }}}}$

$\longmapsto{\qquad{\sf{ 81 = a²}}}$

${\longmapsto{\qquad{\sf{ \sqrt{81} = a }}}} \\ \\$

${\qquad{\textsf{ Side of the Cube = {\pink{\sf{ 9 \: cm}}}}}}$

$\begin{gathered} \\ {\qquad{\rule{150pt}{1pt}}}\end{gathered}$

<u>~ Calculating the</u><u> </u><u> Volume :</u>

$\begin{gathered}{ \red{\longmapsto{\qquad{\sf{ Volume = a³ }}}}} \\ \\ \ { \pink{\longmapsto{\qquad{\sf{ Volume = 9³ }}}} }\\ \\ \ { \green{\longmapsto{\qquad{\sf{ Volume = 9 \times 9 \times 9 }}}}} \\ \\ \ { \purple{\qquad{\textsf{ Volume of the Cube = {\green{\sf{ \boxed{\longmapsto \sf729 \: cm³ }}}}}}}}\end{gathered}$

<u>~ Calculating the</u><u> Total Surface Area :</u>

${\longmapsto{\qquad{\sf{ TSA = 6a² }}}} \\ \\ \ {\longmapsto{\qquad{\sf{ TSA = 6 \times 9² }}}} \\ \\ \ {\longmapsto{\qquad{\sf{ TSA = 6 \times 9 \times 9 }}}}$

${\longmapsto{\qquad{\sf{ TSA = 6 \times 81 }}}} \\ \\ \ {\qquad{\textsf{ Total Surface Area of the Cube = {\red{\sf{ 486 \: cm² }}}}}}$

<h2><u>Therefore :</u></h2>

❝ Volume of the Cube is 729 cm³ and it's Total Surface Area is 486 cm² .❞

$\begin{gathered} \\ {\pink{\underline{\rule{75pt}{9pt}}}}{\blue{\underline{\rule{75pt}{9pt}}}}{\color{cyan}{\underline{\rule{75pt}{9pt}}}}\end{gathered}$

5 0

3 years ago

Read 2 more answers