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Fiesta28 [93]
3 years ago
11

Can you help me with it please​

Mathematics
1 answer:
Kisachek [45]3 years ago
4 0

Answer:

\frac{20}{29}

Step-by-step explanation:

Equation of unit circle is:

x^2 + y^2 = 1

Plug y = \frac{-21}{29} in above equation.

x^2 + \bigg( \frac{-21}{29}\bigg)^2 = 1\\\\x^2 +  \frac{441}{841} = 1\\\\x^2   = 1-\frac{441}{841}\\\\x^2   = \frac{841-441}{841}\\\\x^2   = \frac{400}{841}\\\\x  =\pm\sqrt{ \frac{400}{841}}\\\\x  =\pm\frac{20}{29}\\\\

Since, point P is in the fourth quadrant.

Therefore, x - coordinate should be positive.

\huge \red {\boxed {\therefore x  =\frac{20}{29}}} \\\\

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Moore's law says that the number of transistors in a dense integrated circuit increases by 41\%41%41, percent every year. In 197
stiv31 [10]

Answer:

In 1979 the amount of transistors in a chip was approximately 27865.

Step-by-step explanation:

Since the number of transistors in 1974 was 5000 per chip and it increases at a rate of 41% per year, the number of transistors in a chip per year can be modelled by the following expression:

chips(t) = 5000*(1.41)^(t - 1974)

Therefore in 1979, we have:

chips(1979) = 5000*(1.41)^(1979 - 1974)

chips(1979) = 5000*(1.41)^5

chips(1979) = 27865.4183

In 1979 the amount of transistors in a chip was approximately 27865.

8 0
3 years ago
Evaluate 20x y given that x=15 and y= 10.​
Gnoma [55]

Answer:

3000

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The mass of a dust particle is approximately
trasher [3.6K]

Answer:

Given:

  • \textsf{Mass of a dust particle} = \sf 7.5 \times 10^{-10}
  • \textsf{Mass of an electron} = \sf 9.1 \times 10^{-31}

To calculate how many electrons have the same mass as one dust particle, divide the mass of a dust particle by the mass of an electron:

\begin{aligned}\implies \dfrac{\textsf{Mass of a dust particle}}{\textsf{Mass of an electron}} & = \sf \dfrac{7.5 \times 10^{-10}}{9.1 \times 10^{-31}}\\\\& = \sf \dfrac{7.5}{9.1} \times \dfrac{10^{-10}}{10^{-31}}\\\\& = \sf 0.8241... \times 10^{(-10-(-31))}\\\\& = \sf 0.8241... \times 10^{21}\\\\& = \sf 8.2 \times 10^{20}\end{aligned}

Therefore, approximately \sf 8.2 \times 10^{20} electrons have the same mass as one dust particle.

8 0
2 years ago
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Quinn weighs 145 pounds there are 16 ounces in 1 pound how many ounces does quinn weigh
poizon [28]
16 ounces = 1 pound 
145 x 16 = 2320
quinn weighs 2320 ounces 
hope this helped :)
3 0
4 years ago
The sum of 5 consecutive integers is 110 what is the 4th number of this sequence
Step2247 [10]

Step-by-step explanation:

Let 5 consecutive no. be

n, n+1,n+2,n+3,n+4

n+n+1+n+2+n+3+n+4=110

5n+10=110

5n=110-10

5n=100

n=100/5

n=20

4th term is n+3=20+3=23

                                                    <u><em>Thank You</em></u>

5 0
3 years ago
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