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3 years ago

Find the Slope of the Table

Mathematics

1 answer:

alexira [117]3 years ago

4 0

0.67 rounded yes that is indeed the answer

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What does 2miles=feet?

iVinArrow [24]

2 miles is 10560 feet.

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3 years ago

Read 2 more answers

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).

5 0

3 years ago

R t2. Simplify the expressionr stO D. r 15

leonid [27]

$\frac{ r^{-3} s^{5} t^{2} }{ r^{2}s t^{-2} }= r^{-3-2} s^{5-1} t^{2-(-2)}= r^{-5} s^{4} t^{4}= \frac{s^{4} t^{4}}{ r^{5} }$
Answer: option C.

6 0

3 years ago

Wastewater is filling barrels at the rate of 7 quarts per hour. The recycling facility picks up 25 full barrels on each trip, an

vlabodo [156]

7 • 24 = 168 quarts of water per day goes into barrel

25 • 48 = 1200 quarts of waste water picked up

1200 ÷ 168 = 7.14285...

(Found the answer from a user named Merrygoroundtheworld)

7 0

3 years ago

When the smaller of two consecutive integers is added to five times the larger, the result is 65

stepan [7]

x+5(x+1)=65

x+5x+5=65

6x=65-5=60

x=60/6=10

smaller number=10

Larger number=10+1=11

8 0

3 years ago