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3 years ago

What is the missing statement in step 10 of the proof?

Mathematics

1 answer:

telo118 [61]3 years ago

7 0

Answer:

c/sin C = b/sin C

Step-by-step explanation:

Look at the statement in the previous step and the reason in this step.

c sin B = b sin C

Divide both sides by sin B sin C:

(c <em>sin B</em>)/(<em>sin B</em> sin C) = (b <em>sin C</em>)/(sin B <em>sin C</em>)

c/sin C = b/sin B

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A CD with a diameter of 120 millimeters rotates a rate of 45 revolutions per minute. Find the linear speed of the CD in millimet

ale4655 [162]

9514 1404 393

Answer:

16,965 mm/min
90π ≈ 282.7 radians/min

Step-by-step explanation:

The circumference of the CD is ...

C = πd

C = π(120 mm) ≈ 376.99 mm

This is the distance a point on the edge of the CD will travel when making one revolution. It will travel 45 times this far when making 45 revolutions:

(376.99 mm/rev)(45 rev/min) ≈ 16,965 mm/min

There are 2π radians in each revolution, so the angular speed is ...

(2π rad/rev)(45 rev/min) = 90π rad/min ≈ 282.7 rad/min

6 0

2 years ago

Simplify ( 8∙4∙2 8∙7 )^2 × ( 8 0 7−3 )^3 × 7 −9 .

stich3 [128]

$\bf ~\hspace{7em}\textit{negative exponents}
\\\\
a^{-n} \implies \cfrac{1}{a^n}
~\hspace{4.5em}
a^n\implies \cfrac{1}{a^{-n}}
~\hspace{4.5em}
\cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
\left( \cfrac{8\cdot 4\cdot 2}{8\cdot 7} \right)^2\times \left( \cfrac{8^0}{7^{-3}} \right)^3\times 7^{-9}\implies \left( \cfrac{8\cdot 8}{8\cdot 7} \right)^2\times \left( \cfrac{1\cdot 7^3}{1} \right)^3\times \cfrac{1}{7^9}$

$\bf \left( \cfrac{8}{8}\cdot \cfrac{8}{7} \right)^2\times (7^3)^3\times \cfrac{1}{7^9}\implies \left( \cfrac{8}{7} \right)^2\times 7^{3\cdot 3}\times \cfrac{1}{7^9}\implies \cfrac{8^2}{7^2}\times \cfrac{7^9}{7^9}
\\\\\\
\cfrac{8^2}{7^2}\implies \cfrac{64}{49}$

4 0

3 years ago

What is the value of x if x=-3 y=4 and w=-6

inna [77]

Answer:

the answer is 2

Step-by-step explanation:

x=-3

y=4

w=-6

xy/w

= -3×4/-6

= -12/-6

= 2/1

= 2

4 0

3 years ago

Can anyone help me with these two i don’t know how to solve these plz

Inessa [10]

180-106=74
X is congruent to 2y
x=74
74/2= 37
y=37

(4z+6) is congruent to 106
106-6= 100
100/4 = 25
z=25

3 0

3 years ago

Help is very much needed !

vichka [17]

Answer:

1600

Step-by-step explanation:

<h3>(-2)^{4} x (-10)^{2}[/tex]</h3><h3></h3><h3>Evaluate it: 2^{4} x -10^{2}</h3><h3>Multiply: 16x100</h3><h3>Finally you get:</h3><h3>1600</h3>

5 0

3 years ago

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