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3 years ago

HELP IN THIS QUESTION PLZ...!.!.

Mathematics

2 answers:

maxonik [38]3 years ago

7 0

Seven groups with 8 people in each group

andre [41]3 years ago

3 0

Seven groups with eight people in each group

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How to find x for similar right triangles

Marianna [84]

${(12 \sqrt{7)} }^{2} = 16x \\ 144 \times 7 = 16x \\ x = 63$

5 0

3 years ago

A rectangle has width that is 6 meters less than the length. The area of the rectangle is 280 square meters. Find the dimensions

salantis [7]

Dimensions are length 20 meter and width 14 meter

Solution:

Let "a" be the length of rectangle

Let "b" be the width of rectangle

Given that,

A rectangle has width that is 6 meters less than the length

Width = length - 6

b = a - 6

The area of the rectangle is 280 square meters

The area of the rectangle is given by formula:

$Area = length \times width$

Substituting the values we get,

$Area = a \times (a-6)\\\\280 = a^2-6a\\\\a^2-6a -280=0$

Solve the above equation by quadratic formula

$\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\\quad x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$\mathrm{For\:}\quad a=1,\:b=-6,\:c=-280:\quad a_{1,\:2}=\frac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:1\left(-280\right)}}{2\cdot \:1}$

$a =\frac{6 \pm \sqrt{36+1120}}{2}\\\\a = \frac{6 \pm \sqrt{1156}}{2}\\\\a = \frac{6 \pm 34}{2}\\\\Thus\ we\ have\ two\ solutions\\\\a = \frac{6+34}{2} \text{ or } a = \frac{6-34}{2}\\\\a = 20 \text{ or } a = -14$

Since, length cannot be negative, ignore a = -14

Thus solution of length is a = 20

Therefore,

width = length - 6

width = 20 - 6 = 14

Thus dimensions are length 20 meter and width 14 meter

6 0

3 years ago

Find the length of side x in simplest radical form with a rational denominator.

alekssr [168]

Answer:

$x = \frac{2*\sqrt{3}}{3}$

Step-by-step explanation:

Reference angle = 30°

Opposite side = x

Adjacent side = 2

Apply the tan trigonometric function, thus:

$tan (30) = \frac{opp}{adj}$

$tan (30) = \frac{x}{2}$

$2 * tan (30) = x$

$2 * \frac{1}{sqrt{3}} = x$ (tan 30 = 1/√3)

$\frac{2}{sqrt{3}} = x$

Rationalize

$\frac{2* \sqrt{3}}{sqrt{3} * \sqrt{3}} = x$

$\frac{2*\sqrt{3}}{3} = x$

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2 years ago

Ready Mathematics

Sergeu [11.5K]

Answer:

Talking Ben Thinks It 7 cm

Step-by-step explanation:

7m Cause Ben Told me

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2 years ago

Write this number in standard form. 4,000,000+3,000+50+2=

lorasvet [3.4K]

4003052
I hope this helps

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3 years ago