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ale4655 [162]
3 years ago
12

What is the square root of 196

Mathematics
2 answers:
Ann [662]3 years ago
8 0
The answer would be 14 because 14 times 14 = 196. Square roots are numbers that can multiply itself to equal a number.
Sergeu [11.5K]3 years ago
4 0
Well,

14^{2} = 196

Therefore, the <em>positive </em>square root of 196 is 14.

The <em>negative</em> square root of 196 is -14, as every number has both a positive and negative square root.
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12. In the given figure, RS is parallel to PQ, If RS = 3 cm, PQ = 6 cm and ar(∆TRS) = 15cm³, then ar (∆TPQ) = ? (a) 70 cm² (b) 5
Gnesinka [82]

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

Given that,

In <u>triangle TPQ, </u>

  • RS || PQ,

  • RS = 3 cm,

  • PQ = 6 cm,

  • ar(∆ TRS) = 15 sq. cm

As it is given that, <u>RS || PQ</u>

So, it means

⇛∠TRS = ∠TPQ [ Corresponding angles ]

⇛ ∠TSR = ∠TPQ [ Corresponding angles ]

\rm\implies \: \triangle TPQ \:  \sim \: \triangle TRS \:  \:  \:  \:  \:  \:  \{AA \}

<u>Now, We know </u>

Area Ratio Theorem,

This theorem states that :- The ratio of the area of two similar triangles is equal to the ratio of the squares of corresponding sides.

\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{ar( \triangle \: TRS)}  = \dfrac{ {PQ}^{2} }{ {RS}^{2} }

\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15}  = \dfrac{ {6}^{2} }{ {3}^{2} }

\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15}  = \dfrac{36 }{9}

\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15}  = 4

\rm\implies \:ar( \triangle \: TPQ)  = 60 \:  {cm}^{2}

3 0
2 years ago
Graph the equation y = x2 + 8x + 12 on the accompanying set of axes. You must
UkoKoshka [18]

Answer:

Step-by-step explanation:

Roots:  set y = x^2 + 8x + 12 = 0 and solve for x:  x + 6 = 0, so x = -6 is one root.  The other is x = -2.  The corresponding points are (-6, 0) and (-2, 0).

y-intercept:  Let x = 0.  Then y = 12.  The y-intercept is (0, 12).

Axis of symmetry:  x = -b / (2a) => x = -8/(2*1) = -4:  x = -4

Vertex y-value:  evaluate y at x = - 4:  (-4)^2 + 8(-4) + 12 = -4:    (-4, -4)

Arbitrarily chosen x value:  x = 1 => 1^2 + 8(1) + 12 = 21:     (1, 21)

The five points are:  (-6, 0) and (-2, 0), (0, 12), (-4, -4), (1, 21).  The vertex is (-4, -4).  The parabolic graph opens UP.

8 0
3 years ago
Х
bezimeni [28]

Answer:

12*(3)^x

Step-by-step explanation:

Let the exponential function be y=a*b^x. Given y(0)=12, a=12. Next y(2)=36, b=3

3 0
3 years ago
Draw or write to explain why i hundred 4 ten and 14 tens name the same amount
butalik [34]
ten tens are one hundred and then they both have 4 tens or forty
8 0
3 years ago
Read 2 more answers
Is 0.11 * 10-6 in scientific notation? If not, explain.
Nonamiya [84]

Answer:

No, it is not in scientific notation. The first factor is not greater than or equal to 1.​

Step-by-step explanation:

Scientific notation is a method of writing numbers as the product of two factors where the first factor is a number whose absolute value is greater than or equal to 1 but less than 10.

8 0
4 years ago
Read 2 more answers
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