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3 years ago

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The number of students in high school has been increasing linearly since 1990. In 1997, there were 1125 students and in 2000, th

ere were 1200 students.
Write an equation for the number of students as a function of the number of years since 1990.

1 answer:

PtichkaEL [24]3 years ago

8 0

Answer:

(x-1990)×25

Step-by-step explanation:

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Find the modulus of the complex number 6-2i

Papessa [141]

Answer:

The modulus of the complex number 6-2i is:

$|z|\:=2\sqrt{10}$

Step-by-step explanation:

Given the number

$6-2i$

We know that

$z = x + iy$

where x and y are real and $\sqrt{-1}=i$

The modulus or absolute value of z is:

$|z|\:=\sqrt{x^2+y^2}$

Therefore, the modulus of $6-2i$ will be:

$z=6-2i$

$z=6+(-2)i$

$|z|\:=\sqrt{x^2+y^2}$

$|z|\:=\sqrt{6^2+\left(-2\right)^2}$

$=\sqrt{6^2+2^2}$

$=\sqrt{36+4}$

$=\sqrt{40}$

$=\sqrt{2^2}\sqrt{2\cdot \:5}$

$=2\sqrt{2\cdot \:5}$

$=2\sqrt{10}$

Therefore, the modulus of the complex number 6-2i is:

$|z|\:=2\sqrt{10}$

3 0

3 years ago

How to solve these two problems ？

puteri [66]

8) $\theta$ is -0.896 radians

9) length of arc is 41.91 cm

Solution:

8)

Given that,

$tan\ \theta = \frac{-5}{4}$

$\theta$ is in quadrant 4

To find: $\theta$

From given,

$tan\ \theta = \frac{-5}{4}\\\\\theta = tan^{-1} \frac{-5}{4}\\\\\theta = tan^{-1} (-1.25)\\\\\theta = -51.34$

Thus value of $\theta$ is -51.34 degrees

Convert degrees to radians

$-51.34\ degree = -51.34 \times \frac{ \pi }{180}\ radian\\\\-51.34\ degree = -0.896\ radian$

Thus $\theta$ is -0.896 radians

9)

From given,

radius = 15.4 cm

$\theta = \frac{13 \pi }{15}$

<em><u>The length of arc when angle in radians is:</u></em>

$arc\ length = r \times \theta\\\\arc\ length = 15.4 \times \frac{ 13 \pi }{15}\\\\arc\ length = 15.4 \times 2.721\\\\arc\ length = 41.91$

Thus length of arc is 41.91 cm

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3 years ago

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valentina_108 [34]

100/100 x 85/100x 23/100=

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Que es 9+10<br> A.) 45<br> B.) 19<br> C.) 21<br> D.) 24

Vlad [161]

Answer is B. 19! 9+10=19

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3 years ago

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"Raju's father age is 5 years more than three times of Raju's age. Raju's father age is 50 years."

Lana71 [14]

Let rajus age be x

His father=3x+5

ATQ

$\\ \bull\tt\longmapsto 3x+5=50$

$\\ \bull\tt\longmapsto 3x=50-5$

$\\ \bull\tt\longmapsto 3x=45$

$\\ \bull\tt\longmapsto x=\dfrac{45}{3}$

$\\ \bull\tt\longmapsto x=15$

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3 years ago

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