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coldgirl [10]
3 years ago
10

if a right triangle had legs that measure 3 cm and 7 cm what would the length of the hypotenuse be to the nearest whole number

Mathematics
1 answer:
denis-greek [22]3 years ago
6 0

Answer:

Hypotenuse = 8 cm (Approx.)

Step-by-step explanation:

Given:

Side1 = 3 cm

Side2 = 7 cm

Find:

Hypotenuse

Computation:

Hypotenuse = √Perpendicular² + base²

Hypotenuse = √side1² + side2²

Hypotenuse = √3² + 7²

Hypotenuse = √9 + 49

Hypotenuse = √58

Hypotenuse = 7.61

Hypotenuse = 8 cm (Approx.)

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Step-by-step explanation:

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Rewrite the expression $6j^2 - 4j 12$ in the form $c(j p)^2 q$, where $c$, $p$, and $q$ are constants. What is $\frac{q}{p}$
solniwko [45]

Rewrite the expression  6j^2 - 4j + 12$ in the form $c(j + p)^2 + q$, where $c$, $p$, and $q$ are constants. What is $\frac{q}{p}$

The ratio of \frac{q}{p}  = - 34

How to solve such questions?

Such Questions can be easily solved just by some Algebraic manipulations and simplifications. We just try to make our expression in the form which question asks us. This is the best method to solve such questions as it will definitely lead us to correct answers. One such method is completing the square method.

Completing the square is a method that is used for converting a quadratic expression of the form ax^{2} + bx + c to the vertex form

a(x - h)^{2} + k. The most common application of completing the square is in solving a quadratic equation. This can be done by rearranging the expression obtained after completing the square: a(x + m)^{2} + n, such that the left side is a perfect square trinomial

$6j^2 - 4j +12$

=  $6(j^2 - \frac{2}{3} j )+12$

= $6(j^2 - \frac{2}{3} j  +  \frac{1}{9}  )+\frac{102}{9}                   (Completing Square method)

=6( j- \frac{1}{3} )^{2}  +  \frac{34}{3}

On comparing with the given equation we get

p = - \frac{1}{3}     and q = \frac{34}{3}

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Learn more about completing the square method here :

brainly.com/question/26107616

#SPJ4

7 0
2 years ago
Question
balandron [24]

Answer:

The approximate percentage of SAT scores that are less than 865 is 16%.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 1060, standard deviation of 195.

Empirical Rule to estimate the approximate percentage of SAT scores that are less than 865.

865 = 1060 - 195

So 865 is one standard deviation below the mean.

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The approximate percentage of SAT scores that are less than 865 is 16%.

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Translate each phrase into a variable expression. use n for the variable
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N + 2 that is correct
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