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2 years ago

6) A geologist collects rocks. He has three types, sedimentary, metamorphic and

Mathematics

1 answer:

rodikova [14]2 years ago

7 0

Answer:

3:5

Step-by-step explanation:

s:m = 2:3

m:i = 9:10

convert m to same number so they are comparable

s:m = 6:9 (multiple so the ratio is still the same as 2:3)

m:i = 9:10 (the same thing as before)

s:i = 6:10

s:i = 3:5 (simplify)

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3 years ago

24. 9 more than the quotient of -36 and 4.

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Answer:

Step-by-step explanation:

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4 years ago

Solve triangle ABC given that A = 56°, B = 57°, and b = 9.00. Round the length of the sides to the nearest hundredth

daser333 [38]

Answer:

Part 1) $C=67^o$

Part 2) $a=8.90\ units$

Part 3) $c=9.88\ units$

Step-by-step explanation:

step 1

Find the measure of angle C

Remember that the sum of the interior angles of any triangle must be equal to 180 degrees

$A+B+C=180^o$

substitute the given values

$56^o+57^o+C=180^o$

$C=180^o-113^o=67^o$

step 2

Find the length side a

Applying the law of sines

$\frac{a}{sin(A)}=\frac{b}{sin(B)}$

substitute the given values

$\frac{a}{sin(56^o)}=\frac{9.00}{sin(57^o)}$

solve for a

$a=\frac{9.00}{sin(57^o)}sin(56^o)$

$a=8.90\ units$

step 3

Find the length side c

Applying the law of sines

$\frac{c}{sin(C)}=\frac{b}{sin(B)}$

substitute the given values

$\frac{c}{sin(67^o)}=\frac{9.00}{sin(57^o)}$

solve for c

$c=\frac{9.00}{sin(57^o)}sin(67^o)$

$c=9.88\ units$

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4 years ago