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Bad White [126]
3 years ago
15

~**Will mark brainliest **~ For the correct answers to all three questions

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
6 0

a)

\dfrac{42}{65}\cdot\dfrac{25}{36}\cdot\dfrac{26}{49}=\dfrac{2\cdot3\cdot7}{5\cdot13}\cdot\dfrac{5\cdot5}{2\cdot2\cdot3\cdot3}\cdot\dfrac{2\cdot13}{7\cdot7}=\dfrac{7}{13}\cdot\dfrac{5}{2\cdot3}\cdot\dfrac{2\cdot13}{7\cdot7}=\\\\\\=\dfrac{1}{1}\cdot\dfrac{5}{2\cdot3}\cdot\dfrac{2}{7}=\dfrac{5}{3}\cdot\dfrac{1}{7}=\dfrac{5}{21}

b)

\dfrac{21}{32}\cdot\dfrac{39}{120}\cdot\dfrac{40}{65}=\dfrac{21}{32}\cdot\dfrac{3\cdot13}{2\cdot2\cdot2\cdot3\cdot5}\cdot\dfrac{2\cdot2\cdot2\cdot5}{5\cdot13}=\\\\\\=\dfrac{3\cdot7}{32}\cdot\dfrac{13}{2\cdot2\cdot2\cdot5}\cdot\dfrac{2\cdot2\cdot2}{13}=\dfrac{21}{32}\cdot\dfrac{1}{5}\cdot\dfrac{1}{1}=\dfrac{21}{160}

c)

\dfrac{15}{90}\cdot\dfrac{36}{75}\cdot\dfrac{27}{42}=\dfrac{3\cdot5}{2\cdot3\cdot3\cdot5}\cdot\dfrac{2\cdot2\cdot3\cdot3}{3\cdot5\cdot5}\cdot\dfrac{3\cdot3\cdot3}{2\cdot3\cdot7}=\\\\\\=\dfrac{1}{2\cdot3}\cdot\dfrac{2\cdot2\cdot3}{5\cdot5}\cdot\dfrac{3\cdot3}{2\cdot7}=\dfrac{1}{1}\cdot\dfrac{2}{5\cdot5}\cdot\dfrac{3\cdot3}{2\cdot7}=\dfrac{1}{25}\cdot\dfrac{9}{7}=\dfrac{9}{175}

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What time between 6pm and 6:30 pm the hour and minutes hands be exactly 125* degree apart
vladimir2022 [97]

Answer:

6:10pm

Step-by-step explanation:

At 6:00 the hands are 180° apart.

The hour hand moves 1/12 of circle per hour = 30° per hour = 0.5° per minute.

The minute hand moves 1/60 of the circle per minute = 6° per minute

Angle between the hands decreases by 6-0.5 = 5.5° per minute.

180 - 5.5t = 125

t = 125/5.5 = 10 minutes

The hands are 125° apart at t minutes after 6:00, or 6:10.

4 0
2 years ago
The variables x and y are inversely proportional, and y = 2 when x = 3. What is the value of y when x = 9?
Nina [5.8K]

Answer:

\huge \purple{ \boxed{ y =  \frac{2}{3} }}

Step-by-step explanation:

Since, the variables x and y are inversely proportional.

\therefore \: y  \:  \: \alpha \:  \:  \frac{1}{x}  \\  \implies \: y =  \frac{k}{x} \\ (k = constant)  \\  \implies \: xy = k ...(1)\\ plug \: y = 2, \:  \: x = 3   \: in  \: equation \: (1) \\ we \: find \\ 2 \times 3 = k \\ k = 6 \\ plug \:k = 6   \: in  \: equation \: (1)  \\ xy = 6 \\ (this \: is \: the \: equation \: of \: variation) \\ when \: x = 9 \:  \: y =?  \\  \\ 9y = 6 \\  y =  \frac{6}{9}  \\ \huge \red{ \boxed{ y =  \frac{2}{3} }}

4 0
2 years ago
What is the answer to this question? PLZ PLZ PLZ
dusya [7]

Answer:2000

Step-by-step explanation:2500x0.2=500

2500-500=2000

8 0
3 years ago
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Expand and simplify ( √2 + 3)to the power of 2
11111nata11111 [884]

Answer:

Step-by-step explanation:

(\sqrt{2}+3)^2=(\sqrt{2})^2 + 6\sqrt{2}+9 = 6\sqrt{2} +9+2=6\sqrt{2}+11

hope this helps

5 0
3 years ago
100 Points and I will mark you brainiest if right.
lutik1710 [3]

Answer:

131072

Step-by-step explanation:

Let's put it into expression form and simplify as much as possible :

\frac{(2)(4)(8)(16)(32)(64)}{2^{4} } =

\frac{2097152}{16} =

131072

Hope this helped and have a good day

4 0
2 years ago
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