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3 years ago

The lengths of two sides of a triangle are 26

Mathematics

1 answer:

sergejj [24]3 years ago

4 0

Answer:

$22\ m < x < 74\ m$

Step-by-step explanation:

Let

x ----> the length for the third side

we know that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

Applying the triangle inequality theorem

1) $26+48> x$

solve for x

$74> x$

Rewrite

$x < 74\ m$

2) $26+x>48$

solve for x

subtract 26 both sides

$x> 22\ m$

therefore

The range of possible lengths, in meters, for the third side is equal to

$22\ m < x < 74\ m$

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Nataly [62]

Answer:

x= -1/3 or -2

Step-by-step explanation:

3x^2 +3x= -2x +2-4

3x^2 + 5x +2=0

by factorization method

3x(x+2) 1(x+2)=0

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3 years ago

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A radio is being discounted 20% if the sale price of the radio is $51.44 what is the original price of the radio Radio is being

Grace [21]

Original price of the radio is $64.30

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3 years ago

Solve for x: 2(3x - 9) = 18x x = -3/2 x = 3/2 x = 0 x = 6

Mila [183]

Remember yo can do anything to an equation as long as you do it to both sides

so
remember distributive property
a(b+c)=ab+ac

so first distribute
2(3x)+2(-9)=18x
6x-18=18x
minus 6x both sides
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divide both sides by 12
-18/12=x
-9/6=x
-3/2=x

easier way is to first divide both sides by 2

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3 years ago

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sergeinik [125]

Answer:

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Step-by-step explanation:

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Problems of normal distributions can be solved using the z-score formula.

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$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 72.3 and a standard deviation of 8.

This means that $\mu = 72.3, \sigma = 8$