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4 years ago

Are there any rational numbers between 0.4 repeat and 4/9? explain

Mathematics

2 answers:

Alisiya [41]4 years ago

8 0

No.
.4444444 (repeats forever)
and 4/9 are the same number

kakasveta [241]4 years ago

5 0

Answer:

There exist no rational number between the number 0.4 repeat and 4/9.

Step-by-step explanation:

Consider the provided number.

0.4 repeat and 4/9

This can be written as:

$0.\bar4$ and $\frac{4}{9}$

Convert the number 4/9 into decimal form.

$\frac{4}{9}=0.4444444....$

$\frac{4}{9}=0.\bar4$

Here, both the numbers are same so there exist no rational number between the number 0.4 repeat and 4/9.

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If you can solve all parts I will give brainliest (also give strategy)

Alexxx [7]

The Halloween conical hat, with given height, circular base and brim

extension has the following calculated parameters;

Part a. The slant height is 18.2 inches

Part b. The volume of the cone is $37\frac{1}{2} \cdot \pi$ in.³

Part c. The area of the brim, A = 36·π in.²

Part d. The area of the brim is found by subtracting the area of the base of the cone from the area covered by the perimeter of the brim

Reasons:

Known parameters;

Height of the conical portion, h = 18 inches

Base circumference, C = 5·π inches

Part a. Slant height of the conical portion; Required

Solution:

The circumference of a circle, C = 2·π·r

Therefore;

$r = \dfrac{C}{2 \cdot \pi}$

Which gives;

$r = \dfrac{5 \cdot \pi}{2 \cdot \pi} = \dfrac{5}{2} = 2.5$

Radius, r = 2.5 inches

According to Pythagoras's theorem, we have; s² = r² + h²

Where;

s = The slant height of the cone

s² = 2.5² + 18² = 330.25

s = √(330.25) ≈ 18.2

The slant height, s ≈ 18.2 inches

Part b. The measure in cubic inches of candy that exactly fills the conical portion of the hat is the volume of the cone.

$Volume \ of \ a \ cone = \dfrac{1}{3} \cdot \pi \cdot r^2 \cdot h$

Therefore;

$V = \dfrac{1}{3} \times \pi \times 2.5^2 \times 18 = 37\frac{1}{2} \cdot \pi$

The volume of the cone, V = $37\frac{1}{2}$ ·π in.³

Part c. The extension of the brim from the base of the cone = 4 inches

The radius of the brim, R = Radius of the base of the cone + 4 inches

∴ R = 2.5 inches + 4 inches = 6.5 inches

Area of the brim, A = Area of the 6.5 inch circle - Area of the circular base of the cone

∴ A = π × 6.5² - π × 2.5² = 36·π

The area of the brim, A = 36·π in.²

Part d. The procedure for solving the question in part c, is described as follows;

The area of the brim can be found by finding the entire area of the circle formed by the perimeter of the brim, then subtracting the area of the base of the cone from that area.

Learn more here:

brainly.com/question/17023854

4 0

3 years ago

BRAINLYEST ANSWER

andrew-mc [135]

Answer:

Step-by-step explanation:

Multiply 13 into (10-6)= 13*4=52. Now find the number sentence that gives 52. This is B because 13*10 - 13*6 = 13*4 the original problem

3 0

3 years ago

6-3y + (-9y) +4.7 Please help

Mice21 [21]

The answer is 10.7−12y

4 0

3 years ago

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What does 3(x+6)-2 equal

NeTakaya

in simplist form it should be 3x+16

8 0

3 years ago

The mathematics faculty at a college consists of 11 professors, 12 associate professors, 7 assistant professors, and 6 instructo

Nikolay [14]

Answer:

The probability of choosing a professor or an instructor is 47.22%.

Step-by-step explanation:

Given that the mathematics faculty at a college consists of 11 professors, 12 associate professors, 7 assistant professors, and 6 instructors, if a faculty member is selected, to find the probability of choosing a professor or an instructor the following calculation must be performed:

11 + 12 + 7 + 6 = 100

11 + 6 = X

36 = 100

17 = X

17 x 100/36 = X

1700/36 = X

47.22 = X

The probability of choosing a professor or an instructor is 47.22%.

8 0

3 years ago