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3 years ago

An integer is 10 more than 3 times another. If the product of the two integers is 32, then find the integers

Mathematics

1 answer:

OverLord2011 [107]3 years ago

7 0

Answer:

y = 2, x = 16

Step-by-step explanation:

x = 10 + 3y

xy = 32

Solve.

y = 2.

x = 16

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german

Answer:

Step-by-step explanation:

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3 years ago

WILL GIVE BRAINLEST ANSWER IF ANSWERED IN THE NEXT 24 HRS Express the complex number in trigonometric form. -5i

trasher [3.6K]

Answer:

$z=5\left(\cos \left(\dfrac{3\pi}{2}\right)+i\sin \left(\dfrac{3\pi}{2}\right)\right)$

Step-by-step explanation:

If a complex number is z=a+ib, then the trigonometric form of complex number is

$z=r(\cos \theta +i\sin \theta)$

where, $r=\sqrt{a^2+b^2}$ and $\tan \theta=\dfrac{b}{a}$ , $\theta$ is called the argument of z, $0\leq \theta\leq 2\pi$ .

The given complex number is -5i.

It can be rewritten as

$z=0-5i$

Here, a=0 and b=-5. $\theta$ lies in 4th quadrant.

$r=\sqrt{0^2+(-5)^2}=5$

$\tan \theta=\dfrac{-5}{0}$

$\tan \theta=\infty$

$\theta=2\pi -\dfrac{\pi}{2}$ $[\because \text{In 4th quadrant }\theta=2\pi-\theta]$

$\theta=\dfrac{3\pi}{2}$

So, the trigonometric form is

$z=5\left(\cos \left(\dfrac{3\pi}{2}\right)+i\sin \left(\dfrac{3\pi}{2}\right)\right)$

4 0

3 years ago

Read 2 more answers

PLEASE HURRY!!!!

Pavel [41]

Answer:

Step-by-step explanation:

You are going to roll two dice.

If you roll one die, then there are 6 possible outcomes: $1, 2, 3, 4, 5, 6$

If you roll two dice, then there are $6\times 6=36$ possible outcomes:

$\begin{array}{cccccc}1-1&1-2&1-3&1-4&1-5&1-6\\ \\2-1&2-2&2-3&2-4&2-5&2-6\\ \\3-1&3-2&3-3&3-4&3-5&3-6\\ \\4-1&4-2&4-3&4-4&4-5&4-6\\ \\5-1&5-2&5-3&5-4&5-5&5-6\\ \\6-1&6-2&6-3&6-4&6-5&6-6\end{array}$

Here the first number is the number rolled on the first die, the second number is the number rolled on the second die.

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3 years ago

Read 2 more answers

An airplane descends 1.5 miles to an elevation of 5.25 miles. Write and solve an equation to find the elevation of the plane bef

DerKrebs [107]

2.25 is the elevation of the plane before its decent

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3 years ago

Bowl A contains 6 apples and 3 mangoes this can be written as, Bowl B contain 8 apples and 2 mangoes this can be written as. Wha

Andrew [12]

Answer:

Bowl B contains 2 apples more than Bowl A and Bowl A contains 1 mango more than Bowl B.

Step-by-step explanation:

Number of apples in Bowl A = 6

Number of mangoes in Bowl B = 8

Difference in apples = 8 - 6 = 2

So, Bowl B contains 2 apples more than Bowl A.

Number of mangoes in Bowl A = 3

Number of mangoes in Bowl B =2

Difference in mangoes = 3 - 2 = 1

So, Bowl A contains 1 mango more than Bowl B.

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3 years ago