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3 years ago

Write as a single power: 5^3 × 5^2 × 5

Mathematics

2 answers:

xxMikexx [17]3 years ago

6 0

Answer:

$5^6$

Step-by-step explanation:

densk [106]3 years ago

4 0

Answer:

I believe the answer would be <em>5^6</em>

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Karen paid $43.70 for a book. The price of the book was $40. What was the sales tax rate?

dimaraw [331]

Price before tax = $40

Price after tax = $43.70

Sales Tax = $43.70 = $40 = $3.70

Sales Tax Rate = 3.70/40 x 100 = 9.25%

Answer: 9.25%

3 0

4 years ago

The sum of two consecutive integers is -92. Find the integers.

Levart [38]

Answer:

x = -46.5

x + 1 = -45.5

Step-by-step explanation:

x + x + 1 = -92

2x + 1 = -92

-1 -1

------------------

2x = -93

---- ----

2 2

x = -46.5

x + 1

(-46.5) + 1

-45.5

7 0

3 years ago

Read 2 more answers

If √3 = 1.732, then √[(√3-1)/(√3+1)] is equal to

adelina 88 [10]

Step-by-step explanation:

<h3><u>Given Question :-</u></h3>

$\sf \: \sqrt{3} = 1.732, \: then \: \sqrt{\dfrac{ \sqrt{3} - 1}{ \sqrt{3} + 1} }$

$\red{\large\underline{\sf{Solution-}}}$

Given expression is

$\rm :\longmapsto\: \sqrt{\dfrac{ \sqrt{3} - 1}{ \sqrt{3} + 1} }$

<em>On rationalizing the denominator, we get </em>

$\rm \: = \: \sqrt{\dfrac{ \sqrt{3} - 1}{ \sqrt{3} + 1} \times \dfrac{ \sqrt{3} - 1}{ \sqrt{3} - 1} }$

$\rm \: = \: \sqrt{\dfrac{ {( \sqrt{3} - 1)}^{2} }{( \sqrt{3} + 1)( \sqrt{3} - 1)} }$

$\boxed{ \tt \: (x - y)(x + y) = {x}^{2} - {y}^{2} \: }$

<em>So, using this, we get </em>

$\rm \: = \: \dfrac{ \sqrt{3} - 1}{ \sqrt{ {( \sqrt{3})}^{2} - {(1)}^{2} } }$

$\rm \: = \: \dfrac{ \sqrt{3} - 1}{ \sqrt{ 3 - 1} }$

$\rm \: = \: \dfrac{ \sqrt{3} - 1}{ \sqrt{2} }$

$\rm \: = \: \dfrac{ \sqrt{3} - 1}{ \sqrt{2} } \times \dfrac{ \sqrt{2} }{ \sqrt{2} }$

$\rm \: = \: \dfrac{(1.732 - 1) \sqrt{2} }{2}$

$\rm \: = \: \dfrac{0.732 \times \sqrt{2} }{2}$

$\rm \: = \: 0.366 \sqrt{2}$

Hence,

$\rm :\longmapsto\: \boxed{ \rm{ \: \: \: \sqrt{\dfrac{ \sqrt{3} - 1}{ \sqrt{3} + 1} } = 0.366 \sqrt{2} \: \: \: }}$

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<h2>More Identities to know :- </h2>

(a + b)² = a² + 2ab + b²

(a - b)² = a² - 2ab + b²

a² - b² = (a + b)(a - b)

(a + b)² = (a - b)² + 4ab

(a - b)² = (a + b)² - 4ab

(a + b)² + (a - b)² = 2(a² + b²)

(a + b)³ = a³ + b³ + 3ab(a + b)

(a - b)³ = a³ - b³ - 3ab(a - b)

3 0

3 years ago

A quadrilateral has one pair of parallel sides with lengths 1 3/4 inches and 1 1/4 inches, and two angles that measure 36 degree

DIA [1.3K]

Answer:

<u><em>The name of the quadrilateral is</em></u><u> isosceles trapezoid.</u>

Explanation:

1) The two parallel sides of different legths $1\frac{3}{4}$ and $1\frac{1}{4}$ constitute the bases of a trapezoid.

2) The two equal anglesare the base angles of the trapezoid, and mean that it is an isosceles trapezoid.

An isosceles trapezoid is truncated isosceles triangle.

The definition of trapezoid is a quadrilateral with at least two parallel sides.

The drawing is attached: only the green lines represent the figure, the dotted lines just show how this is derived from an isosceles triangle.

5 0

3 years ago

What is the slope of 1,3 2,1

Montano1993 [528]

Answer:

1/-2

Step-by-step explanation:

Slope = Rise/Run

8 0

3 years ago

Read 2 more answers