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Levart [38]
2 years ago
12

Determine the number of possible triangles, ABC, that can be formed given A = 150°, a = 7, and b = 4.

Mathematics
1 answer:
GREYUIT [131]2 years ago
8 0
1.

When  you have the length of two sides and the angle between them, the triangle is totally determined. This is, there is only one segment that can complete the triangle: its length and position is totally fixed.


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Find a formula for the nth term of the geometric sequence. Assume the n begins with 1. a1=18, a2=9​
LUCKY_DIMON [66]

Answer:

Option E

Step-by-step explanation:

Explicit formula of a geometric sequence is,

T_n=a_1(r)^{n-1}

Here, a_1= First term

r= common ratio

n= number of terms

If, a_1=18 and a_2=9

Common ratio of the sequence r=\frac{a_2}{a_1}

r=\frac{9}{18}

r=\frac{1}{2}

By substituting these values in the formula,

T_n=18(\frac{1}{2} )^{n-1}

Therefore, Option E is the answer.

6 0
3 years ago
Phineas puts $800 into a certificate of deposit that earns 3.39%. If the money is compounded monthly, how much will it be worth
arlik [135]

It will be worth $885.51 in 3 years

Step-by-step explanation:

The formula for compound interest, including principal sum is:

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

  • A is the future value of the investment/loan, including interest
  • P is the principal investment amount  
  • r is the annual interest rate (decimal)
  • n is the number of times that interest is compounded per unit t
  • t is the time the money is invested or borrowed for

∵ Phineas puts $800 into a certificate of deposit

∴ P = 800

∵  The rate of deposit is 3.39%

∴ r = 3.39% = 3.39 ÷ 100 = 0.0339

∵ The money is compounded monthly

∴ n = 12

∵ t = 3

- Substitute these values in the formula above

∴ A=800(1+\frac{0.0339}{12})^{12(3)}

∴ A=800(1.002825)^{36}

∴ A = 885.51407

- Round it to the nearest cent ⇒ hundredths place

∴ A = 885.51

It will be worth $885.51 in 3 years

Learn more:

You can learn more about the interest in brainly.com/question/3614284

#LearnwithBrainly

8 0
3 years ago
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