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3 years ago

Is-7.832198653 rational or irrational

2 answers:

6 0

-7.832198653 is a rational number, because it is terminated. If however, there is a line over any of the numbers, it becomes an irrational number, because they go on forever

hope this helps

Rasek [7]3 years ago

4 0

A irrational number is one the gos on forever never repeating, your format shows that it would be a rational number but I can’t tell because of the way you have layed it out

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in 15 years Pam hope to have $30,000to make a down payment on a house. how much would she need to invest right now in a mutual f

Goryan [66]

Answer:

She needs to invest $13,636.36 right now

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

$E = P*I*t$

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

$T = E + P$

In this question:

In 15 years, so $t = 15$

She wants to have $30,000, so $T = 30000$

8% interest, so $I = 0.08$

We have to find P.

$T = E + P$

$30000 = E + P$

$E = 30000 - P$

Replacing:

$E = P*I*t$

$30000 - P = P*0.08*15$

$30000 - P = 1.2P$

$2.2P = 30000$

$P = \frac{30000}{2.2}$

$P = 13636.36$

She needs to invest $13,636.36 right now

5 0

3 years ago

Given: KL ║ NM , LM = 45, m∠M = 50° KN ⊥ NM , NL ⊥ LM Find: KN and KL

Mice21 [21]

Answer:

$KL=45\tan 50^{\circ}\sin 50^{\circ}\approx 41.08\\ \\KN=45\sin 50^{\circ}\approx 34.47$

Step-by-step explanation:

Given:

KL ║ NM ,

LM = 45

m∠M = 50°

KN ⊥ NM

NL ⊥ LM

Find: KN and KL

1. Consider triangle NLM. This is a right triangle, because NL ⊥ LM. In this triangle,

LM = 45

m∠M = 50°

So,

$\tan \angle M=\dfrac{\text{opposite leg}}{\text{adjacent leg}}=\dfrac{NL}{LM}=\dfrac{NL}{45}\\ \\NL=45\tan 50^{\circ}$

Also

$m\angle LNM=90^{\circ}-50^{\circ}=40^{\circ}$ (angles LNM and M are complementary).

2. Consider triangle NKL. This is a right triangle, because KN ⊥ NM . In this triangle,

$NL=45\tan 50^{\circ}$

$m\angle KLN=m\angle LNM=40^{\circ}$ (alternate interior angles)

$m\angle KNL=90^{\circ}-40^{\circ}=50^{\circ}$ (angles KNL and KLN are complementary).

So,

$\sin \angle KNL=\dfrac{\text{opposite leg}}{\text{hypotenuse}}=\dfrac{KL}{LN}=\dfrac{KL}{45\tan 50^{\circ}}\\ \\KL=45\tan 50^{\circ}\sin 50^{\circ}\approx 41.08$

and

$\cos \angle KNL=\dfrac{\text{adjacent leg}}{\text{hypotenuse}}=\dfrac{KN}{LN}=\dfrac{KN}{45\tan 50^{\circ}}\\ \\KN=45\tan 50^{\circ}\cos 50^{\circ}=45\sin 50^{\circ}\approx 34.47$

3 0

3 years ago

Read 2 more answers

An online music club sells songs for $.95each plus a $1.95monthly fee for the service. If Maria’s total monthly bill was $14.30,

aksik [14]

First you would subtract the monthly fee from the total bill
$14.30 - 1.95 = 12.35$
Maria spend $12.35 on songs, to find out how many songs, you divide that by $.95
$12.35 \div .95 = 13$
Maria bought 13 songs this month.

5 0

3 years ago

What is the distance between z 1 = 2 + 9i and z 2 = 2 - 4i?

Lapatulllka [165]

Distance formula: SR (A^2+B^2)
SR [(2+9i)^2 + (2-4i)^2] =
SR [4 + 18i + 81i^2 + 4 - 8i + 16i^2] =
SR [8 + 10i + 97i^2]

6 0

3 years ago

The solution set to the inequality y<2x - 4 are shaded on the graph. Which point is a solution

BaLLatris [955]

Any set of numbers (x, y) for which this inequality is true is a solution.

For example, the point (1, -5) is a solution because fitting it into the inequality gives us

<u>- 5 < - 2</u> which is true.

However, the point (3, 5) wouldn't be a solution because it would give us the inequality

<u>5 < 2</u> which is not true.

6 0

3 years ago