MATHEMATICS MIDDLE SCHOOL

Convert the decimal 0.6333… to a fraction and classify it as either rational or irrational.A. 57⁄9, irrational
B. 57⁄90, rational
C. 63⁄90, rational
D. 63⁄99, rational

Answers

Answer 1
Answer:

answer B

We assume        x=  0.6333

100x = 63.3333

  10x=  6.333  33               (subtract it )

----------------------------

 90x = 57 ( divide by 90 on both sides)

So x= (57)/(90)

Answer : (57)/(90)

When we can write a number in fraction form then it is a rational number.

We converted the  decimal number into a fraction so it is rational
Answer 2
Answer:

The answer is B. 57/90, rational.

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Can someone help me with 10 math questions (: A cone has a radius of 5 inches and a height of 18 inches.

What is the exact volume of the cone?

A.
150π in3

B.
300π in3

C.
450π in3

D.
540π in3

Answers

so volue of a cone=1/3 times (area of base[which is a circle]) times height

area of base=area of circle=pi time radius^2
area=pi times 5^2
area=pi times 25=25pi

1/3 times 25pi times 18
25pi times 18 times 1/3
25pi times 18/3
25pi times 6=150pi


the answer is 150π in^3 or 150π cubic inches or C

( to solve, aprox pi to 3.141592 an multiply 150 by 3.141592=471.239 in^3)

The piano measures 19/4 feet long does it fit in a 5 foot long space?

Answers

Answer:

Piano fits in the given space.

Step-by-step explanation:

Given: Length of Piano = (19)/(4)\,feet

           Length of Space 5 foot

To find: If piano fits in the space or not

Piano fits in the space if its length is less than length of space .i.e., 5 foot

length of piano = (19)/(4) feet

feet is just plural of foot

So, conversion of unit not needed

Length of piano is improper fraction ( fraction whose numerator is gretaer than denominator ) So, it ca be expressed in mixed fraction.

\implies(19)/(4)=4(3)/(4)

This shows that Piano's length is more than 4 but less than 5.

Therefore, Piano fits in the given space.
Yes it would because 19/4 simplified is 4 3/4 which is less than 5 feet so it woudl fit

Is the elevation halfway between the peak of Mount Ojos del Salado and the Atacama Trench above sea level or below sea level? Explain without calculating the exact value

Answers

I'm pretty sure it's below sea level because the trench is much farther down than the height of the mountain so if you were to find the middle it would have to be below sea level... I hope this helped :0

Stuck on this math question

Answers

Answer:

SinA = √5/3

CosB = √5/3

Step-by-step explanation:

First let us find the value of a. This is illustrated below:

a^2 = 6^2 — 4^2

a^2 = 36 — 16

a^2 = 20

Take the square root of both side

a = √20 = √(4 x 5) = √4 x √5

a = 2√5

From the diagram,

For sinA

Opp = 2√5

Hypo = 6

Adj = 4

SinA = opp /Hypo

SinA = 2√5/6

SinA = √5/3

For CosB

Opp = 4

Hypo = 6

Adj = 2√5

CosB = Adj /Hypo

CosB = 2√5/6

CosB = √5/3

2.(3 pt) What is the perimeter of the figure?



A.
92 inches

B.
80 inches

C.
73 inches

D.
85 inches

13 14 20 12 7 26 are the #'s

Answers

Hello,

this hexagon has a perimeter of 13+14+20+12+7+26=92 (inches)

Write a quadratic equation with roots of 3/4 and -4

Answers

Answer:

(x-3/4)(x+4)

any quadratic can be written as (x-root)(x-root) if you need standard form then multiply
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