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3 years ago

Two or more points are what if they lie on the same line?

2 answers:

4 0

Two lines are guaranteed to be coplanar if they: Lie in the same plane. Lie on the same line (are collinear) and Lie in the same plane. ... Collinear points are two or more points that lie on the same ____.

Virty [35]3 years ago

3 0

Answer:

Collinear

Step-by-step explanation:

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A cylinder has a volume of 198 and base has an area of 22 what is the height o the cylinder

Mumz [18]

Answer:

Step-by-step explanation:

The base of the cylinder is in the shape of a circle:

Area of the base= $\pi *r^2$

For Base area=22 square units

$22=\pi *r^2$

$22=3.14*r^2\\r^2=22/3.14\\r^2=7.01\\r=\sqrt{7.01}$

Volume of the cylinder= $\pi *r^2*h$

For volume '198 cubic units' the height(h) is:

$198=\pi *r^2*h$

$198=3.14*(\sqrt{7.01})^2*h$

$198=3.14*7.01*h\\\\198=22.01*h\\\\198/22.01=h\\\\h=9 units\\$

4 0

3 years ago

Question 5: prove that it’s =0

mamaluj [8]

Answer:

Proof in explanation.

Step-by-step explanation:

I'm going to attempt this by squeeze theorem.

We know that $\cos(\frac{2}{x})$ is a variable number between -1 and 1 (inclusive).

This means that $-1 \le \cos(\frac{2}{x}) \le 1$ .

$x^4 \ge 0$ for all value $x$ . So if we multiply all sides of our inequality by this, it will not effect the direction of the inequalities.

$-x^4 \le x^4 \cos(\frac{2}{x}) \le x^4$

By squeeze theorem, if $-x^4 \le x^4 \cos(\frac{2}{x}) \le x^4$

and $\lim_{x \rightarrow 0}-x^4=\lim_{x \rightarrow 0}x^4=L$ , then we can also conclude that $\im_{x \rightarrow} x^4\cos(\frac{2}{x})=L$ .

So we can actually evaluate the "if" limits pretty easily since both are continuous and exist at $x=0$ .

$\lim_{x \rightarrow 0}x^4=0^4=0$

$\lim_{x \rightarrow 0}-x^4=-0^4=-0=0$ .

We can finally conclude that $\lim_{\rightarrow 0}x^4\cos(\frac{2}{x})=0$ by squeeze theorem.

Some people call this sandwich theorem.

6 0

3 years ago

Classify the following triangle as acute, obtuse, or right

skelet666 [1.2K]

Acute would be less than 90 degrees, obtuse is greater than 90 degrees and right is 90 degrees

8 0

3 years ago

7. Patrick tosses a penny and a number cube, with faces numbered 1 through 6, at the

lions [1.4K]

Answer:

B. 1/3 or 33.3%

Step-by-step explanation:

H- 1 ,2 ,3, 4, 5, 6

T- 1, 2, 3, 4, 5, 6

Multiples of 3: 3, 6, 9, 12, etc..

2/6 simplified is 1/3

So, the probability that the penny will land on heads and the number cube will land on a multiple of 3, is 1/3 or 33.3%

7 0

2 years ago

When the positive integer n is divided by 7, the remainder is 2. What is the remainder when 5n is divided by 7?

ser-zykov [4K]

Therefore the reminder is 3 when 5n is divided by 7.

Step-by-step explanation:

we know that

Dividend = quotient × Divisor +Reminder

⇔ n = Q(n) × 7 + 2 [ let Q(n) is quotient]

multiplying by 5 both sides

5n = 5 Q(n) ×7 + 2×5

⇔5n = 5 Q(n) ×7 +10

⇔5n= 5 Q(n) ×7 +7 +3

⇔ 5n = (5Q(n) +1) × 7 +3

Therefore the reminder is 3 when 5n is divided by 7.

6 0

3 years ago