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3 years ago

Find the length of side xz give your answers to 3 significant figures

Mathematics

1 answer:

aleksandrvk [35]3 years ago

3 0

Answer:

XZ ≈ 14.4 cm

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos29° = $\frac{adjacent}{hypotenuse}$ = $\frac{ZY}{XZ}$ = $\frac{12.6}{XZ}$

Multiply both sides by XZ

XZ × cos29° = 12.6 ( divide both sides by cos29° )

XZ = $\frac{12.6}{cos29}$ ≈ 14. 4 ( to 3 sig. figs )

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A positive number is 3 times another number.

Juli2301 [7.4K]

Answer:

The smaller number can be 8 or $\frac{1}{5}$ .

Step-by-step explanation:

Consider the provided information.

let the larger number is x and the smaller number is y

A positive number is 3 times another number.

$3y=x$

If we add 2 to the larger and 5 to the smaller, then one of them becomes 2 times the other.

Case I: If 2nd number is 2 times to the first number.

$x+2=2(y+5)$

Substitute the value of x.

$3y+2=2y+10$

$y=8$

Now substitute the value of y in $3y=x$

$3(8)=x$

$x=24$

Therefore, the smaller number is 8.

Case II: If 1st number is 2 times to the second number.

$2(x+2)=y+5$

Substitute the value of x.

$2(3y+2)=y+5$

$6y+4=y+5$

$5y=1$

$y=\frac{1}{5}$

Therefore, the smaller number is $\frac{1}{5}$ .

7 0

4 years ago

If a right triangle has equal legs, and the hypotenuse is 26 ft. how long is each leg (leave answer in radical form)

Ksenya-84 [330]

If a right triangle has equal legs, it is by definition a 45-45-90 triangle. So, the two sides would be x and the hypotenuse would $x\sqrt{2}$ . However, we know the hypotenuse, and we do not see a $\sqrt{2}$ anywhere. That means it has already been multiplied by it, so to get the lengths of the sides we simply divide 26 by $\sqrt{2}$ . If you have to rationalize the denominator, the answer will be $\frac{26}{\sqrt{2}} = \frac{26\sqrt{2}}{2} = 13\sqrt{2}$