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2 years ago

In the figure below, find the value of cose:

Mathematics

1 answer:

MariettaO [177]2 years ago

4 0

Answer:

Step-by-step explanation:

cosΘ = $\frac{adjacent}{hypotenuse}$ = $\frac{x}{r}$

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3x^2 - 4x = -2<br> Solve

amid [387]

Answer:

$x = \bigg \{\frac{ 2 - \sqrt{2} \: i }{3}, \: \: \frac{ 2 + \sqrt{2} \: i }{3} \bigg \}$

Step-by-step explanation:

$3 {x}^{2} - 4x = - 2 \\ 3 {x}^{2} - 4x + 2 = 0 \\ equating \: it \: with \\ a {x}^{2} + bx + c = 0 \\ a = 3 \: \: b = - 4 \: \: c = 2 \\ {b}^{2} - 4ac \\ = {( - 4)}^{2} - 4 \times 3 \times 2 \\ = 16 - 24 \\ = - 8 \\ \ {b}^{2} - 4ac < 0 \\ \therefore \: given \: quadratic \: equation \: have \: \\ imaginary \: solutios. \\ \\ x = \frac{ - b \pm \sqrt{{b}^{2} - 4ac } }{2a} \\ = \frac{ - ( - 4) \pm \sqrt{ - 8} }{2 \times 3} \\ = \frac{ 4 \pm 2\sqrt{2} \: i }{2 \times 3} \\ = \frac{ 2 \pm \sqrt{2} \: i }{3} \\ \therefore \: x = \frac{ 2 - \sqrt{2} \: i }{3} \: or \: x = \frac{ 2 + \sqrt{2} \: i }{3} \: \\ \\ x = \bigg \{\frac{ 2 - \sqrt{2} \: i }{3}, \: \: \frac{ 2 + \sqrt{2} \: i }{3} \bigg \}$

7 0

3 years ago

a right rectangular prism has a length of 2 1/2 feet a width of 3 feet and a height of 1 1/2 ft unit cubes with side lengths of

Annette [7]

Given the original dimensions of:
2 1/2 ft, 3 ft and 1 1/2
After addition of 1/2 ft on both sides, the new dimensions will be:
3 1/2 ft, 4 ft, and 2 1/2 ft
thus the volume of the the prism will be:
Volume=length*width*height
V=3 1/2×4×2 1/2
V=35 ft³

Answer: 35 ft³

7 0

3 years ago

Mr. Smith donated $378 to 2 charities. Charity A received 5 times as much as Charity B. How much did Charity B received from Mr

MariettaO [177]

Answer:

$63

Step-by-step explanation:

let x represent Charity B then Charity A = 5x

Sum the two and equate to 378, that is

x + 5x = 378

6x = 378 ( divide both sides by 6 )

x = 63

Thus Charity B received $63

5 0

3 years ago

Paula traveled 65 miles per hour for 2.5 hours and then traveled 45 miles per hour for 3.5 hours what is the total distance in m

Naddik [55]

Answer:

320

Step-by-step explanation:

(45*3.5)+(65*2.5)=320

8 0

2 years ago

I am a 2 digit even mumber i am less than 60 add my digits to get 12 subtract one of my digits from the other to get 4 what mumb

True [87]

I THINK THE ANSWER IS 12

6 0

3 years ago