The distance between Dallas, TX and Houston, TX is 384 kilometers. There are approximately 8 kilometers in 5 miles. Which measurement is closest to the number of miles between these two cities?

Answer:

Approximately 0.6009

The value of tan 31 is 0.6008606.

The branch of mathematics concerned with specific functions of angles and their application to calculations.

As, the angle 31° lies between 0° and 90° (First quad).

So, tangent function is positive in the first quadrant.

Tan 31 degrees= tan (0.54105 . . .) in radians.

As, using degree to radian conversion,

θ(radians) = θ in degrees × (π/180°)

31 degrees = 31° × (π/180°) rad

= 0.5410

So, tan 31°

= tan(0.5410)

= 0.6008606.

Hence, tan 31= 0.6008606.

Learn more about trigonometry here:

https://brainly.com/question/14746686

#SPJ2

Answer:

55

Step-by-step explanation:

Factors for 605: 1, 5, 11, 55, 121, and 605

Factors for 55: 1, 5, 11, and 55

So the highest common factor they have is 55.

HCF = 55

Answer:

Step-by-step explanation:y=3x4y5815

Answer:

95π

Step-by-step explanation:

area of a circle=πr²

radius of the big circle = 24/2=12

area of big circle = π(12)² = 144π

are of small circle = π(7)² = 49π

shaded area = area of big circle - area of small circle

= 144π-49π

= 95π

Answer:

The blanks are 8 and 16

Step-by-step explanation:

Distribute the 8:

8(n + 2) = 8*n + 8*2 = 8n + 16

Answer:

[tex]17.3\:\mathrm{m^2}[/tex]

Step-by-step explanation:

Solution 1:

As the angles are marked, the figure forms a 30-60-90 right triangle with the height. Therefore the height will be  [tex]\frac{4}{2}\cdot\sqrt{3}=2\sqrt{3}[/tex]. The area of this figure can be given as [tex]b\cdot h[/tex], therefore our answer is [tex]5\cdot 2\sqrt{3}\approx \fbox{$17.3$}[/tex].

Solution 2:

The figure forms two triangles when cut by the shortest diagonal. The area of a triangle can be given by [tex]\frac{1}{2}ab\sin C[/tex]. Since there are 2 of these triangles, the area of the entire figure is [tex]2\cdot\frac{1}{2}\cdot4\cdot 5\cdot \sin 60^{\circ}\approx \fbox{$17.3$}[/tex].

its equal to because if you do +50-50 and keep going it will always go back to 0. Hope this helps! :D

Answer:

C or Equal To

Step-by-step explanation:

The input was 0 at first

50 - 50 is 0

Hope this Helps

▼・ᴥ・▼

Answer: It's 1 - 4

2 -8

3 -12

6 - 24 Your welcome

Step-by-step explanation:

Answer:

In this system of equations, x is equal to one, and y is equal to three.

Step-by-step explanation:

We can solve this by rearranging either equation to define either x or y, and plugging that into the other.  As it happens, the first equation is conveniently arranged to define x, so let's use that:

3y + x = 10

3y + (2y - 5) = 10

5y - 5 = 10

y - 1 = 2

y = 3

Now that we know the value of y, we can plug it in to either of the original equations to find x:

x = 2y - 5

x = 2(3) - 5

x = 6 - 5

x = 1

Now we can check that our answer is correct by plugging that x value into either of the original equations:

3y + x = 10

3y + 1 = 10

3y = 9

y = 3

And because that gives us our original y value, we know that our answer is correct.

Answer:

Step-by-step explanation:

Answer:

y = 2x + 5

Step-by-step explanation:

thats your graph: tell me of somethings wrong with the picture or you need anything else

Answer:

60 minutes is 20% of 300 minutes

Step-by-step explanation:

let x be the number of total minutes

60 = 20% of x

20% = 1/5

60 = 1/5x

multiply both sides by 5

300 = x

x = 300 minutes

Answer:

2.90

Step-by-step explanation:

if you dive the amount they have by to you get the answer

Step-by-step explanation:

dy/dx

= d/dx [x / (1 - x²)]

= [(1 - x²)(1) - (x)(-2x)] / (1 - x²)²

= (1 + x²) / (1 - x²)².

When dy/dx = 1, (1 + x²) / (1 - x²)² = 1.

=> 1 + x² = 1 - x²

=> 2x² = 0, x = 0.

Also when x = 0, y = (0) / [1 - (0)²] = 0.

Hence the coodinates is (0, 0).

Answer:

9.8

Step-by-step explanation

basically its just x/sin55=12/sin90 bc you plug into equation a/sina= b/sinb so then you x/sin55=12

                      sin55*12=x x=9.8

The second account (compound interest) is worth more than the first account (simple interest) is $105.4.

Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

Luke invested $2400 in two accounts.

The first account pays 3% simple interest.

The second account pays 3% compound interest with interest compounded annually(at the end of each year) After 10 years.

The interest from the first account will be

[tex]\rm Simple \ Interest = \dfrac{2400*3*10}{100} = \$720[/tex]

The interest from the second account will be

[tex]\rm Compound \ interest = 2400(1.03)^{10} - 2400\\\\Compound \ interest = \$825.4[/tex]

Then the second account be worth more than the first account will be

→ $825.4 – $720 = $105.4

More about the compound interest link is given below.

https://brainly.com/question/25857212

Answer: Their total budget last year was $44,000.

Step-by-step explanation:

Given: Smiths spend 6% of their budget on entertainment.

Total budget this year = $ 2000 more than last year.

Let x = Budget for this year.

Money on entertainment = 0.06x = 2760

[tex]\Rightarrow\ x=\dfrac{2760}{0.06}= \$46,000[/tex]

⇒ Budget for this year = $ 46,000

Budget for last year = $ 46,000 - $2,000 = $44,000

Hence, their total budget last year was $44,000.

Answer:

1?

Step-by-step explanation:

ya is it 1??Step-by-step explanation:

Answer:

5.04

Step-by-step explanation:

1 can equals to 336 grams

so 15 cans will equal to 336 X 15

which is 5040grams

now covert it into kg by dividing it by 1000

which 5.04

Answer:

$240.87 is how much you made. Hope this helps and I wish you luck.

Answer:

I think it is b or d I'm not sure though

Answer:

289

Step-by-step explanation:

Raise 17 to the power of 2

Is this what you are asking for

Answer:

angle AXG will be 40°

because AXG is vertically opposite to FXD

so they both will be equal

Answer:

D is the answer.

[tex]16x {}^{2} - 81 = 0 \\ (4x - 9) \times (4x + 9) = 0 \\ [/tex]

[tex]4x - 9 = 0 \\ 4x = 9 \\ x = \frac{9}{4} \\ or \\ 4x + 9 = 0 \\ 4x = - 9 \\ x = - \frac{9}{4} [/tex]

Answer:

$6

Step-by-step explanation:

6 x 4 = 24

Yes and no it depends

but it is possible

Answer:

Yes

Step-by-step explanation:

Yes, the quotient is the answer to a division question. An example of this is 5/3. The quotient is 1 and the remainder is 2. If it replaced quotient with divisor, then the answer would be no.

Answer: Friday

Step-by-step explanation:

If February 29th is on a Sunday, then, the day that the next February 29th will fall on will be Friday.

First and foremost, we should realise that February has 28 days but in leap years which takes place every 4 years, it has 29 days.

We should realise that the dates in the calendar are arranged in such a way that if a particular date falls on a particular day this year, the date will fall on the next day next year. e.g. since January 20 falls on. Wednesday this year, it will fall on a Thursday next year.

Since February 29 is a date for a leap year, following the above explanation, if February 29th is on a Sunday, then, the day that the next February 29th will fall on will be Friday which is in the next four years.