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Volgvan
3 years ago
15

Perform the indicated operation. 9z^3/16xy . 4x/27z^3

Mathematics
1 answer:
ziro4ka [17]3 years ago
8 0

Answer:

\frac{1}{12y}

Step-by-step explanation:

This is a multiplication problem.

We want to multiply \frac{9z^3}{16xy}\cdot \frac{4x}{27z^3}

We factor to get:

\frac{9z^3}{4\times 4xy}\cdot \frac{4x}{9\times 3z^3}

We now cancel out the common factors to get:

\frac{1}{4\times y}\cdot \frac{1}{1\times 3}

We now multiply the numerators and the denominators separately to get.

This simplifies to \frac{1}{12y}

Therefore the simplified expression is \frac{1}{12y}

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Answer:

3/2 or 1 1/2

Step-by-step explanation:

5÷3 1/3

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3 years ago
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3 years ago
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Please help me!
Alex73 [517]
<h3>Answer: angle T = 70</h3>

======================================

Work Shown:

Quadrilateral RSTU is a kite. In geometry, any kite has two pairs of adjacent congruent sides. In this case, RU = RS is one pair of adjacent congruent sides (single tickmarks), while TU = TS is the other pair of adjacent congruent sides (double tickmarks).

Draw diagonal line segment TR. This forms triangles TUR and TSR.

Through the SSS (side side side) congruence theorem, we can prove that the two triangles TUR and TSR are congruent.

Then by CPCTC (corresponding parts of congruent triangles are congruent), we can say,

angle U = angle S = 90

--------------

Re-focus back on quadrilateral RSTU (ignore or erase line segment TR). The four angles of any quadrilateral will always add to 360 degrees. Let x be the measure of angle T.

(angleU)+(angleR)+(angleS)+(angleT) = 360

90+110+90+x = 360

290+x = 360

290+x-290 = 360-290 ... subtract 290 from both sides

x = 70

<h3>angle T = 70</h3>
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