Tell whether the given value is a solution of the inequality.

Answer:

Approximately [tex]12.9\; \rm km \cdot h^{-1}[/tex], assuming that this orbit is circular.

Step-by-step explanation:

The question is asking for a tangential velocity with the unit [tex]\rm km \cdot h^{-1}[/tex]. The unit of the given distance is already in [tex]\rm km[/tex] as required. Convert the unit of the orbital period to hours:

[tex]\begin{aligned}T &= 1230\; \text{day} \times \frac{24\; \rm h}{1\; \text{day}}. = 29520\; \rm h\end{aligned}[/tex].

Calculate the angular velocity [tex]\omega[/tex] of this planet from its orbital period:

[tex]\begin{aligned}\omega &= \frac{2\, \pi}{T} \\ &= \frac{2\, \pi}{29520\; \rm h} \approx 2.1285 \times 10^{-4}\; \rm h^{-1}\end{aligned}[/tex].

Given the radius [tex]r[/tex] of the orbit of this planet, the tangential velocity [tex]v_{\perp}[/tex] of this planet would be:

[tex]\begin{aligned}v_{\perp} &= \omega\, r \\ &\approx 2.1285 \times 10^{-4}\; \rm h^{-1} \times 2.22\times 10^{7}\; \rm km \\ &\approx 4.73 \times 10^{3}\; \rm km \cdot h^{-1}\end{aligned}[/tex].

If the orbit of this planet is circular, the velocity of the planet would be equal to its tangential velocity: [tex]4.73\times 10^{3}\; \rm km \cdot h^{-1}[/tex].

Answer:

t = (A - P) / Pr

Step-by-step explanation:

A = P + Prt

A - P = Prt

(A - P) / Pr = t

t = (A - P) / Pr

Answer:

7 buckets.

Step-by-step explanation:

17.5 / 2.5 = 7

Answer:

7

Step-by-step explanation:

17.5/2.5=7

[tex]\dfrac{\sin \alpha}{\cos \alpha + \sin \alpha} - \dfrac{\cos \alpha}{\cos \alpha - \sin \alpha}\\\\\\=\dfrac{\sin \alpha(\cos \alpha - \sin \alpha) - \cos \alpha(\cos \alpha + \sin \alpha)}{(\cos \alpha + \sin \alpha)(\cos \alpha -\sin \alpha)}\\\\\\=\dfrac{\sin \alpha \cos \alpha - \sin^2 \alpha - \cos^2 \alpha - \cos \alpha \sin \alpha}{\cos^2 \alpha - \sin^2 \alpha}\\\\\\=\dfrac{-(\sin^2 \alpha + \cos^2 \alpha)}{\cos 2 \alpha}\\\\\\=-\dfrac{1}{\cos 2 \alpha}\\[/tex]

[tex]=-\left(\dfrac{1}{\tfrac{1- \tan^2 \alpha}{1 + \tan^2 \alpha}} \right)~~~~~~~~~~~~~~~~~~; \left[\cos 2\theta = \dfrac{1 - \tan^2 \theta}{1+ \tan^2 \theta} \right]\\\\\\\ = -\left(\dfrac{1+ \tan^2 \alpha}{1- \tan^2 \alpha}\right)\\\\\\= \dfrac{1+\tan^2 \alpha}{\tan^2 \alpha -1}[/tex]

Answer:

135 lb

Step-by-step explanation:

Turn 60% into a decimal (0.60)

Then multiply 225 by 0.60

225 * 0.60 = 135 lb

I believe you are trying to find the most Cheapest cost?

Since the area had to be 1200m^2 the most biggest numbers we could divide with is 30 x 40, which equals to 1200.

30 x 20 (expensive one the lower) = 600 (wall 3) + 20 x 20 = 1000 (wall 3 + wall 1)

40 x 13 (cheapter one the higher) = 520 (wall 4) + 32 x 13 = 936 (wall 4 + wall 2)

Add all together, $1936 to build the whole fence.

(I don't know for sure if I am right. If I am right, can I have a brainliest?)

Answer:

i learn and solve them easily they r easy

Answer: (0.03)(-0.02) = -0.0006

Step-by-step explanation:

Step 1: Remove the Parenthesis

(0.03)(-0.02) → 0.03 ⋅ 0.02

Step 2: Multiply

0.03 ⋅ 0.02 = -0.0006

,  Hope this helps :)

Have a great day!!

Answer:

The solution set is {4, -1}

Step-by-step explanation:

6x²- 18x -18 = 6

6x²- 18x -18 - 6 = 0

6x²- 18x -24 = 0

6(x² - 3x - 4) = 0

6(x - 4)(x + 1) = 0

6 = 0 not true

x - 4 = 0 ;   x + 1 = 0

x = 4           x = - 1

The solution set is {4, -1}

Answer:

= 7.25

Conversion a mixed number 4 3/

4

to a improper fraction: 4 3/4 = 4 3/

4

= 4 · 4 + 3/

4

= 16 + 3/

4

= 19/

4

To find a new numerator:

a) Multiply the whole number 4 by the denominator 4. Whole number 4 equally 4 * 4/

4

= 16/

4

b) Add the answer from previous step 16 to the numerator 3. New numerator is 16 + 3 = 19

c) Write a previous answer (new numerator 19) over the denominator 4.

Four and three quarters is nineteen quarters

Conversion a mixed number 2 1/

2

to a improper fraction: 2 1/2 = 2 1/

2

= 2 · 2 + 1/

2

= 4 + 1/

2

= 5/

2

To find a new numerator:

a) Multiply the whole number 2 by the denominator 2. Whole number 2 equally 2 * 2/

2

= 4/

2

b) Add the answer from previous step 4 to the numerator 1. New numerator is 4 + 1 = 5

c) Write a previous answer (new numerator 5) over the denominator 2.

Two and one half is five halfs

Add: 19/

4

+ 5/

2

= 19/

4

+ 5 · 2/

2 · 2

= 19/

4

+ 10/

4

= 19 + 10/

4

= 29/

4

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(4, 2) = 4. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 4 × 2 = 8. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - nineteen quarters plus five halfs = twenty-nine quarters.

Step-by-step explanation:

Answer:

you can write it in exact form which is 9/4 or decimal form which is 2.25 or mixed number form 2 1/4

Step-by-step explanation:

Answer:

205

Step-by-step explanation:

helicopter=65m

tap of the cliff=

the boy=350m

210=

that makes the answer 205

Answer:

205 meters

Step-by-step explanation:

The cliff is 350m, and the rescue helicopter is 65m above the top of the cliff.

This means that the helicopter is 415 meters above the bottom of the cliff.

The boy is 210m above the bottom of the cliff.

So, you have to subtract 210 from 415 to get 205.

Therefore, you have to lower the rescue 205m to reach the boy.

Answer:

5

Step-by-step explanation:

By process of elimination, we can say for sure that C and D are not the right answers because as x- the numbers on the top- increases, y- the numbers on the bottom- increases. This means that the slope is not negative, because the slope is the rate of change and it does not have a negative rate of change.

The equation for slope is y2-y1 / x2-x1. Meaning, y is on top and x is on bottom. This creates a fraction. So let's take 0 and 1 for X, the first and second values, and 3 and 8 for y, the first and second values. We swap them, because the second y value comes first, so we have 8 - 3 for the top, the numerator. Then we have 1 - 0 for the bottom, the denominator. Solving 8 - 3 and 1 - 0, we have 5/1. 5/1 simplifies to 5, and thus 5 is your slope.

Answer:

-6x+27

Step-by-step explanation:

thanks + brainliest = explanation

if needed, of course :)

Answer:

10 times

Step-by-step explanation:

HOPE THAT THIS IS HELPFUL.

HAVE AN AWESOME DAY.

Answer:

10 times

Step-by-step explanation:

The 4 in 149 is 10 times bigger than the 4 in 74 because the place value of 4 in the number 149 is 40 and the place of 4 in the number 74 is 4, so if we divide 40/4 we will get 10. Thus, choice 2nd is correct

Answer:

5<6 so tbh I have no idea what this is I just need point

Answer:

Step-by-step explanation:

The product of a number, n, and 0.4 is 8:

(n)(0.4) = 8

n = (8/0.4)

n = 20

Answer:

It will cost her $33.46

Step-by-step explanation:

She drives 32miles per gallon

In 448miles, she will use: (448 × 1)/32

= 14gallons

If a gallon costs $2.39

Then 14gallons will cost, 14×2.39

= $33.46

Answer:

she will start making it at 10 am

Answer: 611.64

Step-by-step explanation: add the check up and you get the total (answer)

Answer:

Step-by-step explanation:

it is sum of all amount of check values divided by no of those values  

sum / 5

Answer:

135=9r

Step-by-step explanation:

"product" means multiplication.

Answer:

Hello!

After reviewing the question you have provided, I came up with the correct answer:

C) 2

Step-by-step explanation:

Firstly:

As the question states, you need to round each number to the nearest whole number and then choose the closest estimate to what the nearest solution could be.

When you round the two numbers you should come up with "3-1= ____".

This is because you round up with a number has .5 or higher, and you round down when any number has .4 or lower.

So 3.2 rounds to 3

And 1.4 rounds to 1.

With the new equation you can then solve "3-1= 2"!

Hope this helps!

Answer:

6

Step-by-step explanation:

6/7 - 3/8= 27/56

Answer:

it is 6

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

3q-6=x q=-2

(3(-2))-6

-6-6=x

-12=x

Answer:

(6, -1)

Step-by-step explanation:

4x = 24

x = 6

2(6) + 7y = 5

12 + 7y = 5

7y = -7

y = -1