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2 years ago

Chelsea has a cube with a side length of 4 cm.

Mathematics

2 answers:

Marysya12 [62]2 years ago

7 0

96 cm^3 because of math

Vika [28.1K]2 years ago

3 0

Answer:

Step-by-step explanation:

The Legth is 4

The surface area is 6a^2

The final equation is 6(4)^2

When you do 4^2 it’s the same as 4x4 which equals 16. All you have to do now is 6 x 16 and you get your answer

Hope this helps :D

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Katie and Rebecca are each trying to earn money to pay for their sports activities for next year. To help Katie earn money, her

Nuetrik [128]

Kate: 1250 ≥ 525+25x

25x ≥1250 -525

25x ≥ 725

x ≥ 725 / 25

x≥ 29 weeks

Rebecca: 1350 ≥ 510 + 30x

30x ≥ 1350 - 510

30x≥ 840

x≥ 840 / 30

x≥28 weeks
Katie needs 1 more week than Rebecca

8 0

3 years ago

A school wishes to enclose its rectangular playground using 480 meters of fencing.

Harlamova29_29 [7]

Answer:

Part a) $A(x)=(-x^2+240x)\ m^2$

Part b) The side length x that give the maximum area is 120 meters

Part c) The maximum area is 14,400 square meters

Step-by-step explanation:

The picture of the question in the attached figure

Part a) Find a function that gives the area A(x) of the playground (in square meters) in terms of x

we know that

The perimeter of the rectangular playground is given by

$P=2(L+W)$

we have

$P=480\ m\\L=x\ m$

substitute

$480=2(x+W)$

solve for W

$240=x+W\\W=(240-x)\ m$

<u><em>Find the area of the rectangular playground</em></u>

The area is given by

$A=LW$

we have

$L=x\ m\\W=(240-x)\ m$

substitute

$A=x(240-x)\\A=-x^2+240x$

Convert to function notation

$A(x)=(-x^2+240x)\ m^2$

Part b) What side length x gives the maximum area that the playground can have?

we have

$A(x)=-x^2+240x$

This function represent a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

The x-coordinate of the vertex represent the length that give the maximum area that the playground can have

Convert the quadratic equation into vertex form

$A(x)=-x^2+240x$

Factor -1

$A(x)=-(x^2-240x)$

Complete the square

$A(x)=-(x^2-240x+120^2)+120^2$

$A(x)=-(x^2-240x+14,400)+14,400$

$A(x)=-(x-120)^2+14,400$

The vertex is the point (120,14,400)

therefore

The side length x that give the maximum area is 120 meters

Part c) What is the maximum area that the playground can have?

we know that

The y-coordinate of the vertex represent the maximum area

The vertex is the point (120,14,400) -----> see part b)

therefore

The maximum area is 14,400 square meters

Verify

$x=120\ m$

$W=(240-120)=120\ m$

The playground is a square

$A=120^2=14,400\ m^2$

8 0

2 years ago

Complete the following proof.

timofeeve [1]

Statement:

1. RS tangent to Circle A and Circle B at points R and S

2. AR ⊥ RS, BS ⊥ RS

3. AR ║ BS

Reason:

1. Given

2. Radius ⊥ to tangent

3. 2 lines ⊥ to same line are ║

100% Correct

~Hope it helps~ :)

4 0

3 years ago

Read 2 more answers

2/3 × n= -22 what is n?

tekilochka [14]

n would equal <em>-33</em>.

6 0

3 years ago

Read 2 more answers

35 POINTS! PLEASE HELP MEEE!!! HURRY PLEASE IM RUNNING OUT OF TIME!!!!!!!!!!!!!!!!!

lesantik [10]

Answer:

<h2>CYLINDER</h2>

Surface Area = 471.2 cm^2

<h2>TRIANGULAR PRISM</h2>

Surface Area = 60.75 m^2

Step-by-step explanation:

<h2>CYLINDER</h2>

The surface area formula for a cylinder is π x diameter x (diameter / 2 + height), where (diameter / 2) is the radius of the base (d = 2 x r), so another way to write it is π x radius x 2 x (radius + height). ( π =3.14 )

FORMULA:

π x 5 x 2 x 15

WORK:

π x 5 = 15.7

15.7 x 2 = 31.4

31.4 x 15 = 471

<h2>TRIANGULAR PRISM</h2>

The surface area formula for a triangular prism is 2 * (height x base / 2) + length x width1 + length x width2 + length x base.

FORMULA:

2 x (2.5 x 1.5/2) + (6 x 4) + (6 x 4) + (6 x 1.5)

WORK:

(2.5 x 1.5) = 3.75/2 = 1.875

1.875 x 2 = 3.75

(6 x 4) = 24

(6 x 1.5) = 9

3.75 + 24 + 24 + 9 = 60.75

5 0

3 years ago

Read 2 more answers