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4 years ago

109.8 in expanded form

Mathematics

1 answer:

lys-0071 [83]4 years ago

3 0

Answer:

one hundred nine and eight tenths

Step-by-step explanation:

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The quotient of negative 1 and the product of a number and 21.

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<span>Let the number be x.
The quotient of negative 1 and the product of a number and 21 is -1/21x</span>

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3 years ago

The product of 6 and x is less than or equal to -37

Novay_Z [31]

Answer:

Step-by-step explanation:

6x≤-37

x≤-37/6

x≤ -6 1/6

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4 years ago

a cuboid with a volume of 924 cm3 has dimensions 4cm (x+1)cm and (x+11)cm. show clearly that x^2 +12x-220=0. show the equation b

nikdorinn [45]

Answer:

Part 1)

The equation by factorization is

$x^{2}+12x-230=(x-(-6+\sqrt{266}))(x-(-6-\sqrt{266}))$

Both values of x are

$x1=-6+\sqrt{266}$

$x2=-6-\sqrt{266}$

Part 2) The dimensions of the cuboid are

$4\ cm$ , $(-5+\sqrt{266})\ cm$ and $(5+\sqrt{266})\ cm$

Step-by-step explanation:

step 1

we know that

The volume of the cuboid is equal to

$V=LWH$

substitute the given values

$V=4(x+1)(x+11)$

$V=924\ cm^{3}$

$4(x+1)(x+11)=924\\4(x^{2}+11x+x+11)=924\\ 4(x^{2}+12x+11)=924\\x^{2}+12x+11=231\\x^{2}+12x-230=0$

Complete the square

$x^{2}+12x-230=0$

$x^{2}+12x=230$

$x^{2}+12x+36=230+36$

$(x+6)^{2}=266$

square root both sides

$x+6=(+/-)\sqrt{266}$

$x=-6(+/-)\sqrt{266}$

$x1=-6+\sqrt{266}$

$x2=-6-\sqrt{266}$

therefore

The equation by factorization is

$x^{2}+12x-230=(x-(-6+\sqrt{266}))(x-(-6-\sqrt{266}))$

step 2

Find the dimensions of the cuboid

The dimensions are

$4\ cm$

$(x+1)\ cm -----> (-6+\sqrt{266}+1)=(-5+\sqrt{266})\ cm$

$(x+11)\ cm ----> (-6+\sqrt{266}+11)=(5+\sqrt{266})\ cm$

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3 years ago

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Which of the following formulas would find the surface area of a right cone where s is the slant height r is the radius, LA is t

Darina [25.2K]

Answer:

Option A and Option C

Step-by-step explanation:

The surface area of a cone can be calculated with this formula:

$SA=\pi r^2+\pi rs$ (This matches with the option A)

Where $\pi rl$ is the lateral area of the cone (Being "s" the slant height) and $\pi r^2$ is the area of the base of the cone (which is a circle).

You know that BA the is the area of the base and LA the lateral area of the cone.

Then, substituting into the formula for calculate the surface area of a cone, you get:

$SA=BA+LA$

This matches with the option C

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3 years ago

Write a verbal description of the set {a, i, e, o, u}

tamaranim1 [39]

The set contains only vowels

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3 years ago

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109.8 in expanded form​

109.8 in expanded form