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4 years ago

Barb exercise for 14 hours in 1 week how many hour does she exercise in 32 weeks

Mathematics

1 answer:

Blizzard [7]4 years ago

8 0

14 times 1 = 14

14 times 32 = 448

Barb exercised for 448 hours in 32 weeks.

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In the given figure ABCD is a tripepizeum with AB||CD. If AO = x-1, CO = BO = x+1 and CD = x+4. Find the value of x.

Hitman42 [59]

$\longmapsto$ The value of "x" is 5.

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

Given that,

A trapezium ABCD in which AB || CD such that

AO = x - 1

CO = BO = x + 1

OD = x + 4

Now,

$\rm In \: \triangle \: AOB \: and \: \triangle \: COD$

$\rm \: \angle \: AOB \: and \: \angle \: COD \: \: \{vertically \: opposite \: angles \}$

$\rm \: \angle \:ABO \: and \: \angle \: CDO \: \: \{alternate \: interior \: angles \}$

$\bf \: \triangle \: AOB \: \sim \: \triangle \: COD \: \: \: \{AA \: similarity \}$

$\bf\longmapsto\:\dfrac{AO}{CO} = \dfrac{BO}{DO}$

$\rm \longmapsto\:\dfrac{x - 1}{x + 1} = \dfrac{x + 1}{x + 4}$

$\rm \longmapsto\:(x - 1)(x + 4) = {(x + 1)}^{2}$

$\rm \longmapsto\: {x}^{2} - x + 4x - 4 = {x}^{2} + 1 + 2x$

$\rm \longmapsto\: 3x - 4 = 1 + 2x$

$\rm \longmapsto\: 3x - 2x= 1 +4$

$\bf\longmapsto \:x = 5$

7 0

3 years ago

Why is 3÷0.5 is 6, why is it?

Alekssandra [29.7K]

Answer:

Step-by-step explanation:

A quick way to divide by 0.5 or ½ is to double the number (or multiply number by 2). The reason for this is that two halves go into a whole.

3 0

3 years ago

Marley and her friends by three types of popcorn at the movies $40 each and some candy that cost seven dollars. If the girls spe

drek231 [11]

Answer: they bought 2 things of candy 7 dollars each and one tub of popcorn costing 14 dollars but the most that it could cost is 21 dollars

Step-by-step explanation:

3 0

3 years ago

Given the trinomial 2x2 + 4x − 2, what is the value of the discriminan

Tju [1.3M]

$\bf \qquad \qquad\textit{discriminant of a quadratic}
\\\\\\
\stackrel{\stackrel{a}{\downarrow }}{2}x^2\stackrel{\stackrel{b}{\downarrow }}{+4}x\stackrel{\stackrel{c}{\downarrow }}{-2}
~~~~~~~~
\stackrel{discriminant}{b^2-4ac}~\hspace{3em}\implies 4^2-4(2)(-2)\implies 16+16
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
~\hfill 32~\hfill$

8 0

3 years ago

Please someone help me <br> Thanks

tino4ka555 [31]

40/52 = 10/13

25/52

those were the answers of the wrong answer from above

6 0

3 years ago