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3 years ago

Can x-2 ever be less than 0? Why or why not?

Mathematics

2 answers:

nekit [7.7K]3 years ago

5 0

Of course it can. It always is if 'x' is less than 2.

EastWind [94]3 years ago

4 0

Yes, it can.

See inequality:

x-2 < 0
x < 2

So, any value of x smaller than 2 become x- 2 a negative result.

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given that sin theta= 1/4, 0 is less than theta but less than pi/2, what is the exact value of cos theta

lapo4ka [179]

Answer:

$\cos{\theta} = \frac{\sqrt{15}}{4}$

Step-by-step explanation:

For any angle $\theta$ , we have that:

$(\sin{\theta})^{2} + (\cos{\theta})^{2} = 1$

Quadrant:

$0 \leq \theta \leq \frac{\pi}{2}$ means that $\theta$ is in the first quadrant. This means that both the sine and the cosine have positive values.

Find the cosine:

$(\sin{\theta})^{2} + (\cos{\theta})^{2} = 1$

$(\frac{1}{4})^{2} + (\cos{\theta})^{2} = 1$

$\frac{1}{16} + (\cos{\theta})^{2} = 1$

$(\cos{\theta})^{2} = 1 - \frac{1}{16}$

$(\cos{\theta})^{2} = \frac{16-1}{16}$

$(\cos{\theta})^{2} = \frac{15}{16}$

$\cos{\theta} = \pm \sqrt{\frac{15}{16}}$

Since the angle is in the first quadrant, the cosine is positive.

$\cos{\theta} = \frac{\sqrt{15}}{4}$

3 0

3 years ago

One of the legs of a right triangle is twice as long as the other, and the perimeter of the triangle is 35. Find the

Aloiza [94]

Answer:

6.68, 13.37, 14.95

Step-by-step explanation:

One of the legs is twice as long as the other.

b = 2a

The perimeter is 35.

35 = a + b + c

The triangle is a right triangle.

c² = a² + b²

Three equations, three variables. Start by plugging the first equation into the second and solving for c.

35 = a + 2a + c

c = 35 − 3a

Now plug this and the first equation into the Pythagorean theorem:

(35 − 3a)² = a² + (2a)²

1225 − 210a + 9a² = a² + 4a²

1225 − 210a + 4a² = 0

Solve with quadratic formula:

a = [ -(-210) ± √((-210)² − 4(4)(1225)) ] / 2(4)

a = (210 ± √24500) / 8

a ≈ 6.68 or 45.82

Since the perimeter is 35, a = 6.68. Therefore, the other sides are:

b ≈ 13.37

c ≈ 14.95

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2 years ago

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GuDViN [60]

Answer:

x=2

Step-by-step explanation:

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3 years ago

Miller has a painting that is 4 ft by 8 ft. What will the dimensions of the painting be if he scales it down by a factor of 1/4

Zarrin [17]

Answer:

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Step-by-step explanation:

Divide both dimensions by 4 then subtract that from the original

6 0

2 years ago

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docker41 [41]

Answer:

385 golf balls

Step-by-step explanation:

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2 years ago