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astra-53 [7]
3 years ago
12

Mary has rehearsed her ballet solo for five and a half hours. A week from now, she wants to have rehearsed at least a total of n

ineteen and a half hours. If she rehearses for the same amount of time each day for the next 7 days, at least how many hours must she rehearse per day?
Mathematics
1 answer:
lyudmila [28]3 years ago
6 0

Answer:

Step-by-step explanation:

19.5 - 5.5 = 14

14 / 7 > = <u>2</u> hours per day

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Given cos theta=4sqrt2/7 find sin theta
m_a_m_a [10]

Answer:

  • sin \theta=\sqrt{17}/7

Step-by-step explanation:

<h3>Given</h3>

  • cos \theta=4\sqrt{2}/7

<h3>Find</h3>

  • sin \theta

<h3>Solution</h3>

Use identity:

  • sin^2x+cos^2x=1

Substitute and find:

  • cos^2 \theta=(4\sqrt{2}/7)^2
  • cos^2 \theta=16*2/49=32/49

  • sin \theta=\sqrt{1-cos^2 \theta}  = \sqrt{1-32/49} =\sqrt{17/49} =\sqrt{17}/7

3 0
1 year ago
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Which property can be used to show that if 3a = 4b, then 4b = 3a?
ycow [4]

Step-by-step explanation:commutative property

hope it helps

4 0
2 years ago
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I NEED HELP!!!!!!!!!!!!!!!!!!!!!!!
AnnZ [28]

Answer:

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8 0
3 years ago
What is .65% of 160? Show your work
vladimir2022 [97]
0.65/100 = x/160 Ok, until now?

You then find the cross product: (0.65)(160) = 100x

104 = 100x        104/100 = 1.04

So x = 1.04 and it is also 0.65% of 160


Hope this helps!
7 0
3 years ago
List the 8 numbers between 4 and 40 in a sequence of 10 numbers a common difference
yuradex [85]

Answer:

8, 12, 16, 20, 24, 28, 32, 36

Step-by-step explanation:

the nth term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

a₁ is the first term and d the common difference

given a₁ = 4 and a₁₀= 40 , then

4 + 9d = 40 ( subtract 4 from both sides )

9d = 36 ( divide both sides by 9 )

d = 4

add d to each term to obtain the next term

4 + 4 = 8

8 + 4 = 12

12 + 4 = 16

16 + 4 = 20

20 + 4 = 24

24 + 4 = 28

28 + 4 = 32

32 + 4 = 36

the 8 terms between 4 and 40 are

8, 12, 16, 20, 24, 28, 32, 36

3 0
2 years ago
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