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3 years ago

Which is the definition of a line segment?

1 answer:

3 0

In geometry, a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints. A closed line segment includes both endpoints, while an open line segment excludes both endpoints; a half-open line segment includes exactly one of the endpoints.

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An isosceles right triangle has a hypotenuse length that can be modeled with the function h(x) = sqaure root of 2 The combined

larisa [96]

The legs are defined by $L(x) = 2x$ . The Hypotenuse if defined by $h(x) = L(x)\cdot \sqrt{2}$ . The perimeter is defined by:

$p(x) = h(x)+2\cdot L(x) \\~\\p(x) = L(x)\cdot\sqrt{2} +2\cdot L(x) \\~\\p(x) = L(x)\cdot\left(\sqrt{2}+2\right) \\~\\p(x) = 2x\cdot\left(\sqrt{2}+2\right) \\~\\p(x)= 2\sqrt{2}x+4x$

D. P(x) = 2x √2 + 4x

8 0

2 years ago

Read 2 more answers

Factorise fully 2a^2b + 6ab^2

Inga [223]

Answer:

2ab(a + 3b)

Step-by-step explanation:

2a²b + 6ab²

Factor out 2ab

2ab(a + 3b)

4 0

2 years ago

Read 2 more answers

B. If some amount of water contains 1400 oxygen atoms, how many hydrogen atoms does it contain?

Genrish500 [490]

Answer:

B: 2800 hydrogen atoms

C: 6760 hydrogen atoms

D: y=amount of oxygen atoms*2

Step-by-step explanation:

B: We know the formula for water is H2O. SO that means that there is 2 hydrogen atoms and 1 oxygen atom. So there is 2 times the amount of hydrogen atoms so we can do 1400*2=2800, So there is 2800 hydrogen atoms in the water.

C: Same thing as B. 3380*2=6760

D: y=amount of oxygen atoms*2. Because there is one oxygen atom and two hydrogen atoms so 1*2=2.

5 0

3 years ago

Find the volume of the right cone below in terms of π. hight 9 diamiter 6

Eduardwww [97]

About 84.82

Step-by-step explanation:

The formula to find the volume of a cone is pi*r^2*(h/3). The formula to find radius is diameter/2. 6/2=3. Since r=3 and h=9, pi*3^2*(9/3)=84.82

4 0

2 years ago

The sugar content of the syrup is canned peaches is normally distributed. Assumethe can is designed to have standard deviation 5

andreyandreev [35.5K]

Answer: 0.50477

Step-by-step explanation:

Given : The sugar content of the syrup is canned peaches is normally distributed.

We assume the can is designed to have standard deviation $\sigma=5$ milligrams.

The sampling distribution of the sample variance is chi-square distribution.

Also,The data yields a sample standard deviation of $s=4.8$ milligrams.

Sample size : n= 10

Test statistic for chi-square : $\chi^2=\dfrac{s^2(n-1)}{\sigma^2}$

i.e. $\chi^2=\dfrac{(4.8)^2(10-1)}{(5)^2}=8.2944$

Now, P-value = $P(\chi^2>8.2944)=0.50477$ [By using the chi-square distribution table for p-values.]

Hence, the chance of observing the sample standard deviation greater than 4.8 milligrams = 0.50477

8 0

2 years ago