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3 years ago

Is 9/16 less than 8/12

Mathematics

2 answers:

Keith_Richards [23]3 years ago

6 0

Yes. 9/16 is less than 8/12

Triss [41]3 years ago

3 0

To solve this convert both values to fractions with a common denominator (48):
27/48 32/12
The answer to this problem is False/No because 8/12 is more than 9/16

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Find the length x to the nearest whole number. A right triangle has a vertical leg of length x units, a base leg with a length o

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Complete Question

The diagram for this question is shown on the first uploaded image

Answer:

The value of x is $x = 274 \ unites$

Step-by-step explanation:

From the question we are told that

The length of the vertical length is $x$

The length of the base leg is L = 330 + d units

The length of the bisecting line segment is h

The base angle is $\theta = 28^o$

The angle between d and line segment is $\theta_1 = 56^o$

For the first angle

$Tan \theta_1 = \frac{x}{d}$

=> $d = \frac{x}{Tan \theta _1}$

For the whole big triangle

$Tan \theta = \frac{x}{330 + d}$

=> $d = \frac{x}{Tan \theta } -330$

So equating the both d

$\frac{x}{Tan \theta _1} = \frac{x}{Tan \theta } -330$

Substitute values

$\frac{x}{Tan (56)} = \frac{x}{Tan (28) } -330$

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3 years ago

Find the unknown side length x.

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Answer:

x = $\sqrt{65}$

Step-by-step explanation:

The altitude of the triangle must equal 4 because it is a right triangle with another leg of 3 and a hypotenuse of 5 (reason is due to the pythagorean theorem)

Therefore, the triangle on the right has legs of 4 and 7 and, again, use the phythagorean theorem to find 'x' (the hypotenuse)

$4^{2}$ + $7^{2}$ = $x^{2}$

16 + 49 = $x^{2}$

65 = $x^{2}$

x = sq rt 65

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