MATHEMATICS MIDDLE SCHOOL

Dans chaque cas,donne la valeur exacte 1 ) volume d'une boule de 0,4 dm de rayon.
2)aire d'une sphère de 24 cm de diamètre.
3) volume d'un ballon rond de 240 MM de diamètre.

Answers

Answer 1
Answer: 1)268.083dm^3

2)7238.23 cm^3

3)7238230 mm^3

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A rectangular parking lot has a perimeter of 820 ft. The area of the parking lot measures 42,000 ft2. What is the width of the parking lot?

Answers

A rectangle, let length=a and width=b

perimeter: a+a+b+b=820

2a+2b=820  --> a+b = 410

Make a or b the subject: a=410-b

Area: ab=42 000 (area of a rectangle, length x width)

Sub a in.

b(410-b) = 42000

Expand: 410b - b^2 = 42000

Rearrange and use quadratic formula: b^2 -410b + 42000=0

b= 210 (can only be positive because length cannot be negative)

Sub this value back into perimeter or area equation: a + 210 = 410 --> a =200

Therefore, a= 200 and b=210.

Depending what you made the width is, it should be 200ft.


(I may have made some calculation errors as i'm not used to typing it out, but the process should be correct) I hope helps! :)


Layla collects postcard. she has 7 postcards from europe .her postcards from Europe are one third of her total collections. how many postcards in all does Layla have

Answers

She has 21 postcards because 7 times 3 equal 21
The answer is 7/3hope it helped ur welcome

Grace has $100. She is buying charms for her bracelet that cost $5 each. Write an equation showing the relationship between the number of charms,c, she buys and the amount of money she has left,m.

Answers

The required equation is m = 100-5c.

What is an equation?

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, Grace has $100. She is buying charms for her bracelet that cost $5 each.

Let, she buys c charms for her bracelets,

Therefore, the equations become,

m = 100-5c

Where, m is money is she left with.

Hence, the required equation is m = 100-5c.

Learn more about equations, click;

brainly.com/question/29657983

#SPJ5
Amount of money she has left is 100 - 5x 
Number of charms she buys is $5x
x being the number of charms

9 min left please help

Answers

For this case, we must simplify the following expression:

\sqrt [3] {\frac {4x} {5}}

For this, we follow the steps below:

We rewrite the expression as:

\frac {\sqrt [3] {4x}} {\sqrt [3] {5}}

We multiply by:

\frac {(\sqrt [3] {5}) ^ 2} {(\sqrt [3] {5}) ^ 2}\n\frac {\sqrt [3] {4x}} {\sqrt [3] {5}} * \frac {(\sqrt [3] {5}) ^ 2} {(\sqrt [3] {5}) ^ 2} =

We have by definition of multiplication of powers of equal base that:

a ^ m * a ^ n = a ^ {m + n}

So:

\n\frac {\sqrt [3] {4x} * (\sqrt [3] {5}) ^ 2} {\sqrt [3] {5}) ^ 3} =\n\frac {\sqrt [3] {4x} * (\sqrt [3] {5}) ^ 2} {5} =

We know that:

(\sqrt [3] {5}) ^ 2 = \sqrt [3] {5 ^ 2}

So, we have:

\frac {\sqrt [3] {4x} * \sqrt [3] {5 ^ 2}} {5} =\n\frac {\sqrt [3] {4x} * \sqrt [3] {25}} {5} =\n\frac {\sqrt [3] {100x}} {5}

Answer:

Option c

the answer for this question is 20 x cube by 5

Trapezoid JKLM is shown below.What is the length, in centimeters, of KL ?
A 12 cm
B 10 cm
C 9.cm
D 6 cm

Answers

B is the answer because you have to math it

Determine the measure of an interior angle of the named regular polygon. If a side of the polygon is extended, determine the supplemntsry angle of an interior angle. A) the measure of each interior angle of a regular hexagon is

B) the measure of the supplementary angle of an interior angle is

Answers

Answer:

A) Each interior angle of the Regular Hexagon = 120°

B)The measure of the supplementary angle of an interior angle is  60°

Step-by-step explanation:

Regular Hexagon : A 6 sided polygon which has all 6 interior angles as  EQUAL is called a regular hexagon.

So, here are 6 interior angles of the hexagon are equal.

Also, Sum of all interior angles of an hexagon = 720°

Let us assume the each angle of the hexagon = m

⇒ m + m + m + m + m  + m = 720°

or, 6 m = 720°

or, m = 720° / 6 = 120°

⇒ Each interior angle of the Regular Hexagon = 120°

Now, a side is extended to form an exterior angle.

Let us assume the measure of that exterior angle  = k

⇒ k + m = 180 °   ( as k and m are SUPPLEMENTARY ANGLES)

or,  k = 180 - 120   = 60 °

or, k = 60 °

Hence,  the measure of the supplementary angle of an interior angle is  60°
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