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2 years ago

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Mathematics

1 answer:

Greeley [361]2 years ago

4 0

Answer:

Try using words that might appear on the page you’re looking for. For example, "cake recipes" instead of "how to make a cake."

Step-by-step explanation:

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If the diameter of a circle with a circumference of 19.5 inches is reduced by three, what would be the circumference of the new

Elanso [62]

It is given that the circumference of the circle is 19.5 inches. Let the diameter is d inches .

And the formula of circumference is

$C= \pi d$

Substituting the value of C, we will get

$19.5= \pi d
\\
d = \frac{19.5}{ \pi}$

When the diameter increased by 3, then the circumference is

$C = \pi ( \frac{19.5}{ \pi} +3})=Approx 29 inches$

And the circumference , when diameter is increased by 3 is 29 inches .

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3 years ago

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cupoosta [38]

Answer:

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Step-by-step explanation:

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2 years ago

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The second of two numbers is 3 less than twice the first. Their sum is 36. Find the numbers.

o-na [289]

Answer:

13 and 23

Step-by-step explanation:

create an equation to solve:

(2x-3) + x = 36

3x - 3 = 36 combine like terms

+3 +3 add 3 to both sides

3x = 39

3 3 divide both sides by 3

x = 13

13 is the first number

the 2nd number is 3 let than twice the first so we create and solve a new equation:

2x - 3 = ?

2(13) = ? substitute 13 from the

smaller number to solve

23 = the 2nd number

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3 years ago

Gordon types 2,772 words in 42 minutes. Find the unit rate.

zubka84 [21]

Answer:

66 words in 1 minute

I hope this helps!

8 0

2 years ago

A cuboid with a volume of 924cm^3 has dimensions 4cm, (x+1)cm and (x+11). Show clearly that x^2+12x-220=0 solve the equation by

garik1379 [7]

Answer:

$x^2+12x-220=0$ -- Proved

$x = 10\ \ \ x = -22$

Step-by-step explanation:

Given

$Volume = 924cm^3$

$Dimension: 4cm; (x+1)cm; (x+11)cm$

Required

Show that $x^2+12x-220=0$

The volume is calculated as:

$4 * (x + 1) * (x + 11) = 924$

Open the brackets

$(4x + 4) * (x + 11) = 924$

$4x^2 + 44x + 4x + 44 = 924$

$4x^2 + 48x+ 44 = 924$

Collect Like Terms

$4x^2 + 48x+ 44 - 924=0$

$4x^2 + 48x -880=0$

Divide through by 4

$\frac{4x^2}{4} + \frac{48x}{4} -\frac{880}{4}=0$

$x^2+12x-220=0$

Solving further:

Expand the expression

$x^2 + 22x - 10x - 220 = 0$

Factorize:

$x(x + 22) - 10(x + 22) = 0$

$(x - 10)(x + 22) = 0$

Split:

$x - 10 = 0;\ \ \ x + 22 = 0$

$x = 10\ \ \ x = -22$

5 0

2 years ago