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VashaNatasha [74]

2 years ago

8

Find the distance (2, 3.5) & (2, -1).

1 answer:

OverLord2011 [107]2 years ago

4 0

Answer:

A meteor shower is a celestial event in which a number of meteors are observed to radiate from one point in the night sky. These meteors are caused by streams of cosmic debris called meteoroids entering Earth's atmosphere at extremely high speeds on parallel trajectories.

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There are 318 fiction books in the class library. Tha number of non fiction book is 47 less than double the number of fictions b

vivado [14]

Salutations!

<span>There are 318 fiction books in the class library. The number of non fiction book is 47 less than double the number of fictions book. About how many non fiction books are there in the class library?

Let the number of non fiction books me 'NF'.

Let 'F' be fiction

Double means '2', therefore:

2F - 47 = non fiction (NF)

2(318) - 47 = non fiction

As you can see brackets indicate multiplication, therefore you will be multiplying 318 and 2

636 - 47 = non fiction (NF)

Subtract 47 from 636

589 = nonfiction (NF)

There are 589 non fiction books in the library.

Hope I helped (:

Have a great day!</span>

4 0

2 years ago

A point on the terminal side of an acute angle in standard position is (1, 2 √2). Find the cosine value of this angle.

kozerog [31]

Answer:

$cos\theta=1/3$

Step-by-step explanation:

The point at the terminal side of an acute angle is given by $(1, 2\sqrt{2} )$ .

That is,

$x = 1$ and $y= 2\sqrt{2}$ .

Let r be the length of line segment drawn from the origin to the point and is given by the formula:

$r = \sqrt{x^{2} + y^{2}}$

Substituting the values of x and y into r,

$r = \sqrt{1^{2} + (2\sqrt{2} )^{2}}$

$r = \sqrt{1 + 8}$

$r = \sqrt{9}$

Thus, $r=3$

Also, $cos\theta$ is given by:

$cos\theta = x/r\\$

Substituting values of x and r,

$cos\theta = 1/3\\$

4 0

2 years ago

Please help me figure this out

Naddika [18.5K]

1) 3/4-1/4=2/4=1/2
2)3/10-1/10=2/10=1/5

3 0

2 years ago

List the angles in order from the smallest to the largest.

Svetllana [295]

Answer:

D. <S, <R, <T

Step-by-step explanation:

Recall: On a triangle, the bigger an angle measure the longer the side opposite it and vice versa.

In ∆RST,

The longest side, SR = 22, is opposite to <T

Therefore, <T is the biggest angle.

Medium side, ST = 21, is opposite to <R, therefore,

<R is the medium angle measure

The smallest angle measure <S is opposite to the shortest side, RT.

Angels I'm order form the smallest to largest will be:

<S, <R, <T

8 0

2 years ago

A 41 gram sample of a substance that's used to detect explosives has a k-value of 0.1392. Find the substance's half life, in day

-BARSIC- [3]

Answer:

The substance half-life is of 4.98 days.

Step-by-step explanation:

Equation for an amount of a decaying substance:

The equation for the amount of a substance that decay exponentially has the following format:

$A(t) = A(0)e^{-kt}$

In which k is the decay rate, as a decimal.

k-value of 0.1392.

This means that:

$A(t) = A(0)e^{-0.1392t}$

Find the substance's half life, in days.

This is t for which $A(t) = 0.5A(0)$ . So

$A(t) = A(0)e^{-0.1392t}$

$0.5A(0) = A(0)e^{-0.1392t}$

$e^{-0.1392t} = 0.5$

$\ln{e^{-0.1392t}} = \ln{0.5}$

$-0.1392t = \ln{0.5}$

$t = -\frac{\ln{0.5}}{0.1392}$

$t = 4.98$

The substance half-life is of 4.98 days.

5 0

2 years ago