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3 years ago

21× 1 2/14. step by step explanation pls!

Mathematics

2 answers:

Gala2k [10]3 years ago

3 0

Answer:

Step-by-step explanation:

21 = 3 x 7

12 = 2 x 6

4 = 2 x 7

( 21 x 12 ) / 14

= ( 3 x 7 x 2 x 6 ) / ( 2 x 7 )

= 3 x 6

= 18

Flura [38]3 years ago

3 0

Answer:

Step-by-step explanation:

See image attached for guide

21 x 1 2/14

Make 1 2/14 an improper fraction, add the denominator 1 under 21:

21/1 x 16/14

Multiply numerator x numerator, do the same for denominator:

21 x 16= 336

1 x 14 = 14

336/14

Simplify:

336/14 = 24

Hope this helps

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3 years ago

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3 years ago

Can someone please help me answer these 2 questions with a full explanation so I can do the rest on my own? will give brainliest

Anton [14]

Answer:

a) ∠ABC = 54°

a) ∠ABC = 43°

Step-by-step explanation:

Trigonometric ratios

$\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}$

where:

$\theta$ is the angle
O is the side opposite the angle
A is the side adjacent the angle
H is the hypotenuse (the side opposite the right angle)

Part (a)

Use the cos trig ratio to find an expression for the measure of BD:

$\implies \sf \cos (38^{\circ})=\dfrac{BD}{24.3}$

$\implies \sf BD=24.3\cos (38^{\circ})$

Use the cos trig ratio and the found length of BD to find angle ABD:

$\sf \implies \cos(ABD)=\dfrac{BD}{19.9}$

$\sf \implies \angle ABD=\cos^{-1}\left(\dfrac{24.3\cos (38^{\circ})}{19.9}\right)$

$\sf \implies \angle ABD=15.79446612...^{\circ}$

Therefore:

$\sf \implies \angle ABC=\angle ADB + 38^{\circ}$

$\sf \implies \angle ABC=15.79446612...^{\circ}+ 38^{\circ}$

$\sf \implies \angle ABC=54^{\circ}\:\:(nearest\:degree)$

Part (b)

Use the tan trig ratio to find angle CAD:

$\implies \sf \tan(CAD)=\dfrac{4.9}{7.4}$

$\implies \sf \angle CAD=\tan^{-1} \left(\dfrac{4.9}{7.4}\right)$

$\implies \sf \angle CAD=33.5110188...^{\circ}$

Therefore:

$\sf \implies \angle BAD=13^{\circ}+33.5110188...^{\circ}$

$\sf \implies \angle BAD=46.5110188...^{\circ}$

∠ABC = ∠ABD

Interior angles of a triangle sum to 180°

$\sf \implies \angle ABD + \angle BAD + \angle BDA=180^{\circ}$

$\sf \implies \angle ABC + 46.5110188...^{\circ} + 90^{\circ}=180^{\circ}$

$\sf \implies \angle ABC=43^{\circ}\:\:(nearest\:degree)$

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3 years ago

Distributive property of (-1)(4-c)

balu736 [363]

Answer:

$\huge\boxed{(-1)(4-c)=c-4}$

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6 0

3 years ago

What is the perimeter of a square whose diagonal is 3 radical 2

k0ka [10]

a square is made up of 2 congruent right triangles with the same leg length. we use the Pythagorean theorem to find the length of one of these legs. a^2+b^2=c^2, but we know that the legs are equal in length, so we have 2a^2=(3rad2)^2

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3 years ago

21× 1 2/14. step by step explanation pls!​

21× 1 2/14. step by step explanation pls!