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aniked [119]
2 years ago
6

What is sin45°*sin30°*cos60°

Mathematics
1 answer:
NNADVOKAT [17]2 years ago
6 0

Answer:

\frac{\sqrt{2} }{8}

Step-by-step explanation:

Using the exact values of the given trig functions, then

sin45° × sin30° × cos60°

= \frac{\sqrt{2} }{2} × \frac{1}{2} × \frac{1}{2} = \frac{\sqrt{2} }{8}

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30% of number A is 10 more than 20% of number B. 30% of number B is 35 more than 20% of number A. Find the numbers A and B.
anygoal [31]

Answer:

A = 76.85

B =65.28

Step-by-step explanation:

(30/100)A = 10 + (20/100)B

0.3A - 0.2B = 10 ...... equation (i)

(30/100)B + 35 = (20/100)A

0.2A - 0.3B = 35 ........ equation (ii)

From equation (i)

0.3A = 10 - 0.2B

A = (10 - 0.2b) / 0.3

A = 33.33 - 0.67B ........equation (iii)

Put equation (iii) into equation (ii)

0.2(33.33 - 0.67B) - 0.3B = 35

6.67 - 0.134B - 0.3B = 35

0.434B = 35 - 6.67

B = 28.33 / 0.434

B = 65. 275 = 65.28

Put B = 65.28 into equation (i)

0.3A - 0.2B = 10

0.3A - 0.2(65.28) = 10

0.3A - 13.056 = 10

0.3A = 10 + 13.056

A = 23.056/ 0.3

A = 76.85

5 0
3 years ago
Her jump rope Ella can make 17 jumps in 15 second.at this rate how make jumps can she make in20 minute?
shtirl [24]

Answer:

1360

Step-by-step explanation:

there are 1200 seconds in 20 minutes. if Ella can do 17 jumps in 15 seconds, you would divide 1200 by 15 (which equals 80) because that would be the number of 15 seconds in 20 minutes. then you would divide 80 by 17, which gives you your final answer of 1360 jumps in 20 minutes.

5 0
2 years ago
Which is equivalent to
Kitty [74]

Answer:

2^2 your welcome

Step-by-step explanation:

8 0
3 years ago
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For the given polynomials find the sum of the squares of the roots. P(x)=x^3-x^2-18x+k
slega [8]

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6 0
2 years ago
Simplify.....<br> 4p + 2p
aleksley [76]

Answer:

6p

Step-by-step explanation:

You just add 4 and 2 together and then put p at the end because they are like terms.

6 0
3 years ago
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