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mojhsa [17]
3 years ago
5

The measure of one of two complementary angles is 6 degrees less than one half the measure of the other. Find the measure of the

smaller angle
Mathematics
1 answer:
solmaris [256]3 years ago
7 0
It's helpful to choose letters to represent the measures of these complementary angles.  Let x represent one and y the other.

What does "complementary angle" mean?  x + y = ??

Let x be the smaller angle.  First, we take "half the measure of the larger angle," or (y/2).  Then we subtract 6 degrees from this result (y/2).  The result is the xmaller angle, x.

Now you have two equations in x and y.  Solve for one of these angles, and then find the other.  Please show your work.
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Sydney invested $440 in an account paying an interest rate of 5.6% compounded daily. Assuming no deposits or withdrawals are mad
stealth61 [152]

Answer:

The time required to get  a total amount of $ 640.00  from compound interest on a principal of $ 440.00  at an interest rate of 5.6% per year  and compounded 365 times per year  is approximately 7 years.

Step-by-step explanation:

Given

  • Principle Amount P = $440
  • Accrued Amount A = $640
  • Interest rate r = 5.6% = 0.056
  • Compounded daily n = 365

To determine:

Time period t = ?

Using the formula

A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}

solving for t

t = ln(A/P) / n[ln(1 + r/n)]

substituting the values A = 640, P = 440, n = 365 and r = 0.056

t = ln(640/440) / ( 365 × [ln(1 + 0.00015342465753425/365)] )

t = 6.691

t ≈ 7  (nearest year)

Therefore, the time required to get  a total amount of $ 640.00  from compound interest on a principal of $ 440.00  at an interest rate of 5.6% per year  and compounded 365 times per year  is approximately 7 years.

4 0
2 years ago
Which of the following values has 3 significant figures?
Wittaler [7]

Answer: D. al of the above

Step-by-step explanation:

the numbers 1-7 are the significant figures, and if there is a zero but still three numbers ranging from 1-7, it counts

4 0
3 years ago
Read 2 more answers
What is the factored form of 6n4 – 24n3 + 18n?
seropon [69]

Answer: Its factored form will be

6n(n-1)(n^2-3n-3)

Step-by-step explanation:

Since we have given that

6n^4-24n^3+18n

So, we need to factor ,

6n(n^3-4n^2+3)

Now,

\text{Let }p(n)=n^3-4n^2+3

Now, by hit and trial method, we put n=1,

p(1)=1^3-4\times1^2+3=1-4+3=1-1=0

n=1\\n-1=0

So, n-1 is also factor of p(n).

Now,

\frac{n^3-4n^2+3}{n-1}=n^2-3n-3

So, its factored form will be

6n(n-1)(n^2-3n-3)

8 0
3 years ago
Read 2 more answers
50 POINTS! Name a pair of whole numbers that have a geometric mean of 4.
scZoUnD [109]

Answer:

0, 16

1, 15

2, 14

3, 13

4, 12

5, 11

6, 10

7, 9

8, 8

Step-by-step explanation:

Any two numbers that have the product of positive 16 have a geometric mean of 4.

4 0
2 years ago
It takes me into 30 minutes to walk from home to school when walking at 5 km per hour What is her average cycling speed If it ta
GREYUIT [131]

Answer:

10 km/h

Step-by-step explanation:

I'm not really sure about this but no ones answering your question and I wanna help.

So basically to calculate the average speed you need to divide the distance travelled by time taken

But you do not have the distance traveled. But it is mentioned that it takes u 30 minutes to walk from home to school when walking at 5 km/h so to find the distance all you have to do is... 30 x 5 = 150 km

Now that we have the time and distance all we have to do is find the average speed.

Average Speed = distance ÷ time

So 150 ÷ 15 = 10 km/h

3 0
3 years ago
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