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Hitman42 [59]
2 years ago
9

Evaluate: 16÷(2+12)2 A. 2 14/25 B. 4 1/4 C. 6 2/5 D. 8 1/4

Mathematics
1 answer:
Sauron [17]2 years ago
6 0

The result of the given expression in simplest form is \frac{4}{7}.

The given parameters:

16÷(2+12)2

The given expression can be evaluated in the following order as shown below;

<em>add </em><em>the numbers in the </em><em>bracket</em><em>;</em>

2 + 12 = 14

<em>multiply </em><em>the numbers in the </em><em>bracket </em><em>by 2;</em>

14 x 2 = 28

<em>divide </em><em>the 16 by your result after the </em><em>multiplication</em><em>;</em>

= \frac{16}{28} \\\\

<em>divide the </em><em>numerator </em><em>and </em><em>denominator </em><em>by their common factor which is 4;</em>

\frac{16}{(2+ 12) 2} = \frac{16}{28} = \frac{4}{7}

Thus, the result of the given expression in simplest form is \frac{4}{7}.

Learn more about simplification of algebra here: brainly.com/question/432678

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Answer:

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Step-by-step explanation:

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Given that sinФ = √3/2

Substitute into the formula

(√3/2)²+(cosx)² = 1

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cos x = √1/4

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Hence the value of cosФ is 1/2

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3 years ago
A projectile is fired straight up from ground level with an initial velocity of 112 ft/s. Its height, h, above the ground after
arsen [322]

Answer: 3 < t < 4

Step-by-step explanation:

Given the following information :

Initial Velocity of projectile = 112 ft/s

Height (h) above the ground after t seconds :

h = –16t2 + 112t

To calculate the time when h exceeds 192 Feets (h >192)

That is ;

-16t^2 + 112t = > 192

-16t^2 + 112t - 192 = 0

Divide through by - 16

t^2 - 7t + 12 = 0

Factorizing

t^2 - 3t - 4t + 12 =0

t(t - 3) - 4(t - 3) = 0

(t-3) = 0 or (t-4) =0

t = 3 or t=4

Therefore, t exist between 3 and 4 for height in excess of 192ft

–16(3)^2 + 112(3) = 192 feets

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7 0
3 years ago
Read 2 more answers
± √2 write the quadratic eaquation with the given roots.
IrinaVladis [17]
X= -√2          x=√2

-x=√2          ( x)²=2

(-x)²=2         x²=2

x²=2

Therefore, your answer is x²-2=0
8 0
3 years ago
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