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3 years ago

7

Alex is ordering his girlfriend a bouquet of flowers for their anniversary. roses cost $5 each and carnations cost $2 each. He w

ould like to include at least 3 flowers. To stay on budget he must not spend more than $36.

1 answer:

erastova [34]3 years ago

4 0

Answer: 6 Roses and 3 carnations

Step-by-step explanation:

If he gets 6 roses the total will be $30 and if you add 3 carnations, which will cost $3, the total will be $36.

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Solve the equation. Check for extraneous answers

Lady bird [3.3K]

The answer is A i hope this helps

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3 years ago

Convert,the complex number into polar form: 4+4i

kow [346]

Z = a + bi
z = 4 + 4i

r² = a² + b²
r² = (4)² + (4)²
r² = 16 + 16
r² = 32
r = 4√(2)
r = 4(1.414)
r = 5.656

$cos\theta = \frac{a}{r}$
$cos\theta = \frac{4}{4\sqrt{2}}$
$cos\theta = \frac{4}{4\sqrt{2}} * \frac{\sqrt{2}}{\sqrt{2}}$
$cos\theta = \frac{4\sqrt{2}}{4\sqrt{4}}$
$cos\theta = \frac{4\sqrt{2}}{4(2)}$
$cos\theta = \frac{4\sqrt{2}}{8}$
$cos\theta = \frac{\sqrt{2}}{2}$
$2(cos\theta) = 2(\frac{\sqrt{2}}{2})$
$2cos\theta = \sqrt{2}$
$2cos\theta = 1.414$

$sin\theta = \frac{b}{r}$
$sin\theta = \frac{4}{4\sqrt{2}}$
$sin\theta = \frac{4}{4\sqrt{2}} * \frac{\sqrt{2}}{\sqrt{2}}$
$sin\theta = \frac{4\sqrt{2}}{4\sqrt{4}}$
$sin\theta = \frac{4\sqrt{2}}{4(2)}$
$sin\theta = \frac{4\sqrt{2}}{8}$
$sin\theta = \frac{\sqrt{2}}{2}$
$2(sin\theta) = 2(\frac{\sqrt{2}}{2})$
$2sin\theta = \sqrt{2}$
$2sin\theta = 1.414$

z = a + bi
z = rcosθ + (rsinθ)i
z = r(cosθ + i sinθ)

z = 4 + 4i
z = 5.656cosθ + (5.656sinθ)i
z = 5.656(cosθ + i sinθ)
z = 5.656(cos45 + i sin45)

$\theta = tan^{-1}\frac{b}{a}$
$\theta = tan^{-1}\frac{4}{4}$
$\theta = tan^{-1}(1)$
$\theta = 45$

The polar form of 4 + 4i is approximately equal to 5.656(cos45 + i sin45).

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3 years ago

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GarryVolchara [31]

Answer:

C

Step-by-step explanation:

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Find the quotient of the following 95 divide 13?

stira [4]

Answer:

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Step-by-step explanation:

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Mary Jackson gets a student rate of $27.50 a month for health insurance. There is a $200 deductible. She recently received treat

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Answer:

the company's payment was $1720

Step-by-step explanation:

Mary's total cost (without the monthly premium) is $630

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3 years ago

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