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Which expression is equivalent to StartFraction 3 x Superscript negative 6 Baseline y Superscript negative 3 Baseline Over 15 x

arsen [322]

Answer:

<h3>The correct expression is 1 Over 5 x Superscript minus 8 Baseline y Superscript minus 13 Baseline EndFraction</h3>

Step-by-step explanation:

Given the expression $\frac{3x^{-6}y^{-3} }{15x^{2}y^{10} }$ for x ≠ 0, y ≠ 0 to get the equivalent expression we will have to simplify the given expression.

$\frac{3x^{-6}y^{-3} }{15x^{2}y^{10} }\\= \frac{3}{15} x^{-6-2}y^{-3-10}\\ = \frac{3}{15}x^{-8}y^{-13} \\ =\frac{1}{5}x^{-8}y^{-13} \\$

The correct expression is 1 Over 5 x Superscript minus 8 Baseline y Superscript minus 13 Baseline EndFraction

6 0

2 years ago

The hypotenuse of right triangle ABC, line segment AC, measures 13 cm. The length of line segment BC is 5 cm.

slavikrds [6]

Cos ( ∠C ) = 5/13 = 0.38462
m ∠C = cos^(-1) 0.38642 = 67.4°
m ∠A = 90° - 67.4° = 22.6°
m ∠C - m ∠A = 67.4° - 22.6° = 44.8°
Answer:
B ) 44.8°

7 0

2 years ago

Deana gave her younger sister $5.48 to buy some candy. Her sister returned $2.84 in change. How much did her sister spend on can

alexandr402 [8]

Answer:

$2.64

Step-by-step explanation:Get rid of the dollar sign and just subtract like normal.

5.48

- 2.84

= 2.64

5 0

2 years ago

The sun subtend an angle at 35degree from the centre of the earth whose distant from the centre of the earth is 382,100km. Find

Sonbull [250]

Study the figure attached below:

Answer:

240951.33km

Step-by-step explanation:

For this type of question first we need to draw the figure as shown in the attached file (Figure.1).

Looking at the figure, we can see that triangle ABC is formed by bisecting the angle 35 degree (i.e. if the angle is bisected, it will divide into two equal parts, so 35 degree will divide into two equal parts of 17.5 degree).

As the triangle ABC is a right triangle, so we can use the trigonometric ratios to find the diameter of the sun.

$tan(\theta )= \frac{perpendicular}{Base}$