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makvit [3.9K]
3 years ago
9

An acute angle θ is in a right triangle with sin θ = seven eighths. What is the value of cot θ?

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
7 0
Sin = opposite/hypotenuse, so one side is 7 and the other is 8.
sqrt(64-49)=sqrt(15) which is the third side, and tangeant = opposite/adjacent, which is 7/sqrt(15). Cotangeant is 1/tangeant, so it would be sqrt(15)/7
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Michael has two more apples than Ann does. Together, Michael and Ann have no more than 9 apples. If Ann has at least one apple,
fiasKO [112]

Answer:

ann has 1 apple and Michael has 8 apples

6 0
3 years ago
(10+-7 - -2) / (-2 - -1)
Scrat [10]

Nice use of brackets. We know exactly what you mean.

(10 - 7 + 2) / (-2 + 1) Notice that with an even number of - signs, you get a plus and with and odd number you get a minus.

(5) / (-1) = - 5 answer

Edit

Numerator

10 does not change.

+ - 7 Here a plus and a minus are put together. There is 1 minus sign which is an odd number of minus signs so the 7 is minus

- - 2 Here there are 2 minus signs. They become plus because 2 is even, and an even number of minuses become a plus so you have +2

10 - 7 + 2 = 5

Denominator

-2 does not change. It remains minus 2.

- - 1 There are 2 minus signs so this becomes plus 1.

- 2 + 1 = - 1

Numerator over denominator = 5/-1 = - 5. I'll probably run out of editing time. If you still don't understand, try and pinpoint the problem and we'll keep trying until you do see it. This question is worth it.

4 0
3 years ago
Read 2 more answers
in 2005, musicmart sold 12,000 cds. in 2010, they sold 14,550 cds. what is the rate of change in the number of cds sold?
inn [45]
2010-2005= 5 years. 14550-12000=2550
2550/5 = ans = 510 cds/year
8 0
2 years ago
On the farm, there were 2 types of animals, Pigs and Chickens. The farm had a total of 10 animals. one day he counted 34 legs. H
makvit [3.9K]

Answer:

3

Step-by-step explanation:

since he said he counted 34 legs.

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34. you should first remove 2 from 34 that would give you 32. 32 divided by 4 which is the number of legs a single pig has is 8, 8 plus 2 divided by two which is the number of legs a single chicken has is 1 so I plus 8 is 9, but they said he has 10 animals, then you remove 4 again reducing the pig side to 28 and increasing the chicken size to 6. 28 divide by 4 is 7, and 6 divided by 2 is 3, so 3 plus 7 is 10, and ten is the number of animals, so the number of chicken is 3.

8 0
3 years ago
Suppose that $4000 is placed in a savings account at an annual rate of 6.4%, compounded quarterly. Assuming that no withdrawals
s2008m [1.1K]

Answer:

3.25 years (nearest hundredth)

Step-by-step explanation:

<u>Compound Interest Formula</u>

\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}

where:

  • A = final amount
  • P = principal amount
  • r = interest rate (in decimal form)
  • n = number of times interest applied per time period
  • t = number of time periods elapsed

Given:

  • A = $4916
  • P = $4000
  • r = 6.4% = 0.064
  • n = 4 (quarterly)

Substitute the given values into the formula and solve for t:

\implies \sf 4916=4000\left(1+\frac{0.064}{4}\right)^{4t}

\implies \sf 4916=4000\left(1.016\right)^{4t}

\implies \sf \dfrac{4916}{4000}=\left(1.016\right)^{4t}

\implies \sf \dfrac{1229}{1000}=\left(1.016\right)^{4t}

\implies \sf \ln \left(\dfrac{1229}{1000}\right)=\ln \left(1.016\right)^{4t}

\implies \sf \ln \left(\dfrac{1229}{1000}\right)=4t \ln \left(1.016\right)

\implies \sf t=\dfrac{\ln \left(\frac{1229}{1000}\right)}{4\ln \left(1.016\right)}

\implies \sf t=3.247594892...

Therefore, it will take 3.25 years (nearest hundredth) for the account to grow to $4916.

Learn more about compound interest here:

brainly.com/question/27747709

brainly.com/question/27806277

8 0
2 years ago
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