Is 4.25 a rational number

Answer:

711 ft (nearest foot)

Step-by-step explanation:

Create two equations using trig ratios and the information given (refer to the attached diagram).  Equate the equations and solve.

First equation

Let y = horizontal distance between sensor 1 and the aircraft

Let h = height of aircraft above the ground

Using the tangent trig ratio:

[tex]\mathsf{\tan(\theta)=\dfrac{opposite \ side}{adjacent \ side}}[/tex]

Given:

[tex]\implies \mathsf{\tan(20)=\dfrac{h}{y}}[/tex]

Rearrange to make y the subject:

[tex]\implies \mathsf{y=\dfrac{h}{\tan(20)}}[/tex]

Second equation

Let y + 700 = horizontal distance between sensor 2 and the aircraft

Let h = height of aircraft above the ground

Using the tangent trig ratio:

[tex]\mathsf{\tan(\theta)=\dfrac{opposite \ side}{adjacent \ side}}[/tex]

Given:

[tex]\implies \mathsf{\tan(15)=\dfrac{h}{y+700}}[/tex]

Rearrange to make y the subject:

[tex]\implies \mathsf{y=\dfrac{h}{\tan(15)}-700}[/tex]

Now equate the 2 equations and solve for h:

[tex]\implies \mathsf{\dfrac{h}{\tan(20)}=\dfrac{h}{\tan(15)}-700}}[/tex]

[tex]\implies \mathsf{700=\dfrac{h}{\tan(15)}-\dfrac{h}{\tan(20)}}[/tex]

[tex]\implies \mathsf{700=\dfrac{h\tan(20)-h\tan(15)}{\tan(15)\tan(20)}}[/tex]

[tex]\implies \mathsf{700=\dfrac{\tan(20)-\tan(15)}{\tan(15)\tan(20)}h}[/tex]

[tex]\implies \mathsf{h=\dfrac{700\tan(15)\tan(20)}{\tan(20)-\tan(15)}}[/tex]

[tex]\implies \mathsf{h=710.9678247...}[/tex]

Therefore, the height of the aircraft is 711 ft (nearest foot)

Answer:

  minimum

Step-by-step explanation:

The sign of the leading coefficient of a quadratic tells you whether its graph opens upward or downward. Here, the sign of 1/500 is positive, so the graph opens upward. The function will have a minimum.

_____

Additional comment

For even-degree polynomials (quadratic = degree 2), the general shape of the curve will be ∪ or ∩. The latter will result from a negative leading coefficient.

For odd-degree polynomials, the general shape of the curve will be / or \. Again, the latter results from a negative leading coefficient.

These facts can help you identify the end-behavior of a polynomial function.

a:1/6×18/1=18/6 when simplified is 3

b:4/6×18/1=72/6 when simplified is 12

c.The relationship between the number of students with brown hair and the number of students with red hair is that they are equivalent to one another.

Answer:

(2,7)

Step-by-step explanation:

Answer:

x = ±4

Step-by-step explanation:

x^2 = 16

Take the square root of each side

sqrt(x^2) = ±sqrt(16)

x = ±4

Answer:

(-4,-2)

Step-by-step explanation:

Answer:

[tex]z = 2. \\ 5 \div z \\ 5 \div 2 \\ 2.5[/tex]

Thank you ☺️☺️

Answer:

[tex]\displaystyle y + 6 = -\frac{2}{3}(x + 9)[/tex]

Explanation:

In the Point-Slope formula, [tex]\displaystyle y - y_1 = m(x - x_1),[/tex]−C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so be very careful with those minus symbols.

I am joyous to assist you at any time.

Answer:

9 pounds of shrimp will be sold in 9 hours i think.

i dont realy understand the way u wrote it but pls put brainliest

Answer:

yea i thik hes right

Step-by-step explanation:

[tex]\textit{area of a sector of a circle}\\ A=\cfrac{\pi \theta r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=24\\ \theta =45 \end{cases}\implies A=\cfrac{\pi (45)(24)^2}{360}\implies A=72\pi[/tex]

Step-by-step explanation:

1. parallel 2. perpendicular 3. interescting

4. parallel 5. perpendicular

IV. 1/2 = 2/4 1/3 = 2/6 2/6 = 4/12

1/2 = 4/8 1/3 = 4/12 2/6 = 1/3

can you please mark my answer brainliest

Answer:

Step-by-step explanation:

6.1 / 5 ( 12b + 5 )

b = 5/6

by substituting,

6.1 / 5 ( 12 × 5/6 + 5 )

1.22 × 15

= 18.3

Hope this helps

plz mark as brainliest!!!!!!!

Stay safe!!

Answer:

y = -2x + 1

Step-by-step explanation:

The linear equation is generally written in y = mx + b form. Since m (the value of the slope) is already given, only the value of b must be determined. To do this, plug in x, y, and m for their values in the equation to get:

13 = -2 (-7) + b

Then, simplify.

13 = 14 + b

b = -1

Once you find the b value, plug everything back in and get y = -2x + 1.

Answer:

32 students

Step-by-step explanation:

Points are

Slope:-

[tex]\\ \rm\rightarrowtail m=\dfrac{-7+8}{-5-10}[/tex]

[tex]\\ \rm\rightarrowtail m=-\dfrac{1}{15}[/tex]

Answer:

for a single pizza 1/10 a cup

for 12 pizzas 1 1/5 a cup

you can make 56 pizzas with 5 2/3 cups.

Step-by-step explanation:

for 5 pizzas you need 1/2 cup of flour, so to find out how much you'll need for a single pizza you'll need to divide it with 5. 1/2÷5=1/10

for a dozen pizzas you'll need to multiply that with 12. 1/10x12=12/10=1 1/5

Then to find out how many can we make with 5 2/3 cups we'll divide it with that 1/10

56/10÷1/10= 56 pizzas

Answer:4x 32/5

Step-by-step explanation:

If we look at it, we know that 4 and 32 is more than 3x42. Btw, 3x42 is 126 and 4 times 32 is 128.

Answer:

d

Step-by-step explanation:

55÷250×100=22.0

hence d

Answer:

The mean is 7 and the range is 5

Step-by-step explanation:

To find the mean, just add up the scores and divide the total by the number of scores.

To find the range, subtract the lowest value from the highest value.

<B be y

[tex]\\ \sf\longmapsto y+21=90[/tex]

[tex]\\ \sf\longmapsto y=90-21[/tex]

[tex]\\ \sf\longmapsto y=69°[/tex]

<A=69°

Answer:

The measure of ∠B is 69°

Step-by-step explanation:

Given :

=> ∠A + ∠B = 90°

=> 21° + ∠B = 90°

=> ∠B = 90°- 21°

=> ∠B = 69°

Answer:

I think it might be A, it seems most reasonable. I'm probably wrong tho

Step-by-step explanation:

Answer:

it is D

Step-by-step explanation:

just multiplay

D. As one variable decreases, the other increases.

A negative linear association means that as one variable decreases, the other variable increases. This indicates an inverse relationship between the two variables.

As the value of one variable decreases, the value of the other variable tends to increase consistently and vice versa. This pattern can be observed when plotting the data points on a scatter plot, where the points tend to form a downward sloping line.

Option A is incorrect because a negative linear association implies a clear relationship between the variables, unlike no relation. Option B is incorrect because it describes a positive linear association, where both variables increase together.

Option C is incorrect because the presence of both negative and positive numbers does not necessarily indicate a negative linear association. The key characteristic of a negative linear association is the inverse relationship between the variables as described in option D.

for such more question on variable

https://brainly.com/question/18042457

#SPJ8

Answer:

519.50

Step-by-step explanation:

A = P [tex](1 + r)^{n}[/tex]

A = 300[tex](1 + .04)^{14}[/tex]

A = 300(1.7316764476)

A = 519.502934281

A = 519.50

Answer:

180 miles

Step-by-step explanation:

You must find 40% of 450 and you can make the of into an x (multiplication symbol) like so:

40% x 450

Now, percent's are fractions, and 100% is equal to one whole or 1. To make 40% a fraction, simply just place a decimal in front of the 4, like so:

.40 or 0.40 or 0.4 or .4

Now place that in the equation:

0.40 x 450

Solve:

 450.00

x     0.40

___________

  180.00

       ^

(!Important! !Always bring down the decimal in the exact place it was at in first place!)

Check:

180 = 40%

450 = 100%

(To get 450 you must multiply 100 by 4.5, therefore you multiply 40 by 4.5 to get 180)

Answer:

Michael ran 180 miles in bad weather.