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3 years ago

1,If 1 − x, x + 3 and 2x + 1 are consecutive terms of an A.P, then find the common

Mathematics

1 answer:

posledela3 years ago

4 0

Step-by-step explanation:

Since they are consecutive terms in an AP,

(1 - x) + (2x + 1) = 2(x + 3).

=> x + 2 = 2x + 6

=> x = -4.

Therefore the terms are 5, -1 and -7.

=> Common difference = -6.

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Ashley uses 1/2 cup of melted butter to spread equally on 12 slices of toast. How much melted butter is on each slice of toast?

Sholpan [36]

Answer: 1/24

Step-by-step explanation:

1/2 divided by 12

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3 years ago

The question is............

irina1246 [14]

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3 years ago

15. The height and yolume of a cylinder are 4cm and 616cm respectively. Calculate the diameter of the base. (take t = 27 쪽 A. 7c

irakobra [83]

Step-by-step explanation:

Given that,

Height of cylinder = 4 cm
Volume of cylinder = 616 cm³

To find,

Diameter of the base = ?

Firstly we'll find the base radius of the cylinder.

$\longmapsto\rm{V_{(Cylinder)} = \pi r^2h}\\$

According to the question,

$\longmapsto\rm{616= \dfrac{22}{7} \times r^2 \times 4}\\$

$\longmapsto\rm{616 \times 7 = 22 \times r^2 \times 4}\\$

$\longmapsto\rm{4312 = 88 \times r^2 }\\$

$\longmapsto\rm{\cancel{\dfrac{4312}{88}} = r^2 }\\$

$\longmapsto\rm{49 = r^2 }\\$

$\longmapsto\rm{\sqrt{49} = r }\\$

$\longmapsto\rm{7 \; cm = r }\\$

Now,

$\longmapsto\rm{Diameter = 2r }\\$

$\longmapsto\rm{Diameter = 2(7 \; cm) }\\$

$\longmapsto\bf{Diameter = 14 \; cm}\\$

The required answer is 14 cm.

4 0

3 years ago

What is 19.2×108 minutes in hours?

Gennadij [26K]

The answer is: [C]: " 3.200 * 10⁷ h " .
_________________________________________________
Explanation:
________________________________
19.2 * 10⁸ min * (1 hr / 60 min) ;

= (19.2 * 10⁸)
_______________ ;
 60

_____________________________
Divide EACH SIDE of the fraction by "10" ; to get:
___________

(19.2 * 10⁷)
_______________ ;
 6

______________________________

⇒ (19.2) ÷ (6) = 3.2 ; so rewrite as:
_________________________________________________________

3.2 * 10⁷ ; which corresponds with:

Answer choice: [C]: " 3.200 * 10⁷ h " .
_________________________________________________________

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4 years ago

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vitfil [10]

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Step-by-step explanation:

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3 years ago