Coefficient and degree of the polynomial

Answer:

AB or the distance across the river is about 171.36 meters.

Step-by-step explanation:

Please refer to the diagram below (not to scale). The area between the two blue lines is the river.

To find AB, we can use the Law of Sines. Recall that:

[tex]\displaystyle \frac{\sin A}{a} = \frac{\sin B}{b} = \frac{\sin C}{c}[/tex]

BC (or a) is opposite to ∠A and AB (or c) is opposite to ∠C. Thus, we will substitute in these values.

First, find ∠A. The interior angles of a triangle must total 180°. Thus:

[tex]m\angle A + m\angle B + m\angle C = 180^\circ[/tex]

Substitute:

[tex]\displaystyle m\angle A + (112.2^\circ) +(18.3^\circ) = 180^\circ[/tex]

Solve for ∠A:

[tex]m\angle A = 49.5^\circ[/tex]

Substitute BC for a, AB for c, 49.5° for A and 18.3° for C into the Law of Sines. Thus:

[tex]\displaystyle \frac{\sin 49.5^\circ}{BC} = \frac{\sin 18.3^\circ}{AB}[/tex]

Since BC = 415 m:

[tex]\displaystyle \frac{\sin 49.5^\circ}{415} = \frac{\sin 18.3^\circ}{AB}[/tex]

Solve for AB. Cross-multiply:

[tex]\displaystyle AB \sin 49.5^\circ = 415\sin 18.3^\circ[/tex]

And divide:

[tex]\displaystyle AB = \frac{415\sin 18.3^\circ}{\sin 49.5^\circ}[/tex]

Use a calculator. Hence:

[tex]AB = 171.3648...\approx 171.36\text{ m}[/tex]

AB or the distance across the river is about 171.36 meters.

9514 1404 393

Answer:

  $8440

Step-by-step explanation:

8 quarters at $830 per quarter is 8×$830 = $6640.

When the cost of books is added, the total is ...

  $6640 +1800 = $8440

Domain : ( – ∞ ,  ∞ ) , {x/x ∈ R }

Range : [ 0 ,  ∞ ) , { y/y ⩾ 0 }

I hope I helped you^_^

Answer:

612,300

600,000

10,000

2,000

300

00

0

Answer:

the answer for y is 9 and x is 9✔2( the check is square root symbol)

Answer:

Consider the following identity:

Let a = 2, b = 1/2

Use the algebraic identity given below

[tex]\boxed{\sf a^3-b^3=(a+b)(a^2-ab+b^2)}[/tex]

[tex]\\ \sf\longmapsto (2+\dfrac{1}{2})(2^2-1+\dfrac{1}{4})[/tex]

[tex]\\ \sf\longmapsto (2+\dfrac{1}{2})(2^2-2\times \dfrac{1}{2}+\dfrac{1}{2}^2)[/tex]

[tex]\\ \sf\longmapsto 2^3-\dfrac{1}{2}^3[/tex]

[tex]\\ \sf\longmapsto 8-\dfrac{1}{8}[/tex]

Answer:

-2,  (-5 is extraneous)

Step-by-step explanation:

assuming √(x+6) -4 =x

√(x+6) = x+4

square both side

x+6 = (x+4)^2

x+6 = x^2+8x+16

x^2+7x+10=0

(x+2)(x+5) = 0

x = -2, -5

put -5 back into org equation and it is not true

√(-5+6) -4 ≠ -5

Answer:

chash greatly ta 45uerywryrsyrsyrs

Answer:

128/3

Step-by-step explanation:

The sequence follow the rule (1/6)*(4)^(n-1). The 5th term will be (1/6)*(4)^4=128/3

Answer:

128/3

Step-by-step explanation:

1/6, 2/3, 8/3, . . .

1/6, 4/6, 16/6

We are multiplying by 4 each time

1/6 *4 = 4/6

4/6 * 4 = 16/6

This is a geometric sequence with the common ratio of 4

an = a1 (r)^(n-1)

an = 1/6 (4) ^(n-1)

Let n = 5

a5 = 1/6 (4)^(5-1)

a5 = 1/6 (4)^4

a5 = 1/6 * 256

a5 =128/3

Answer:

AC+ CD = ACD

X+1 + 2X + 2 = 30

3X+3 =30

3X=30–3

3X=27

X= 27/ 3

X= 9

I'm not sure of the solution, but I solved it according to a straight line (Line segment) .

I hope I helped you^_^

Answer:

then what's the question???..

Answer:

no

Step-by-step explanation:

Substitute the point into the equation and see if it is true

34 = 2(7) +8

34 = 14+8

34 = 22

Since this is not true, the point does not satisfy the equation

Answer:

No

Step-by-step explanation:

because 7 is X and 34 is Y

So its 2 *7 +8=22

so no

Answer:

pretty sure its D

Answer:

I have to give 2 Ans for my question

Answer:

3x+18

Step-by-step explanation:

since 3 is outside the bracket you need to multiply 3 by both x and 6. so 3 multiply x is 3x and 3 multiply 6 is 18, hence 3x+18

Answer:

x + 3

Step-by-step explanation:

Because he bought an unknown number of soccer balls that is where we use the variable, x. And we know that he bought 3 baseballs, and we add them both to get the total number of things bought. Hope this helped and you could give brainliest :)

Answer:

s= 16t^2+128t, answer.......

Answer:

c

Step-by-step explanation:

Answer:

Rate of Return is 14.8%

Step-by-step explanation:

We know that 20 shares of Stock are purchased for $30 per share.

This gives us a total value of: 20 × 30 = $600.

Now, the shares are sold for $710 with a commission sale of $6. This means the final money going to the seller is; 710 – 6 = $704.

Thus, the rate of return percentage is = (704 – 600)/704) × 100% = 14.7727%

To the nearest tenth gives us 14.8%

Hey there!

If our central angle is 77, our arc on the outside that it intercepts is going to be 77/360 of the total circumference of the arc. This is because a full circle angle is 360 degrees, so if our central angle was 360, we would just find the circumference of the circle as the arc would be the entire circle.

In our case, we will just find the circumference and then multiply it by 77/360 to find our arc length as we are just looking for a fraction of our total circle.

Circumference is 2πr, so we have 2π(6)≈37.68

Now we multiply this by 77/360.

37.68×77/360≈ 8.06

So now, if you have a radius r and a central angle x, you can use the formula x/360 ×2πr to find the arc length.

Have a wonderful day! :D

Answer:

Proved

Step-by-step explanation:

a=180-x

c=a= 180-x

d=180-a = 180-(180-x) =x

b=d=x

adding every angle;

a+b+c+d= 180-x + x + 180-x + x

a+b+c+d = 180+180 = 360

a+b+c+d = 4 *90

The sum of the interior of the quadilateral is equal to 4 right angles.

The point where two lines meet is known as an angle

The given figure is a quadrilateral.

For the quadrilateral

According to the theorem;

a  + c = 180 ...... 1

b + d = 180 ...... 2

Add both equations

a + b + c + d = 180 + 180

a + b + c + d = 360

Note that 1 right angle = 90degrees

4 right angles = 4(90) = 360 degrees

Therefore a + b + c + d = 4 right angles (Proved)

Learn more here: https://brainly.com/question/19546787

Answer:

31

Step-by-step explanation:

93/3=31

So UV is equal to 31

Answer:

31

Step-by-step explanation:

y=mx+b is the general formula of linear equation

y=-2x+5+3x+2

y=1x+7

m=1

b=7

Linear equation given in the question is,

2 + 3x + 5 - 2x = y

To simplify this equation further,

        (2 + 5) + (3x - 2x) = y

         7 + x = y

Now compare this linear equation with the slope-intercept form of the linear equation,

y = mx + b

Here, m = slope of the line'

b = y-intercept

By comparing the equations,

m = 1

b = 7

Learn more,

https://brainly.com/question/15253236

Answer:

51 miles

Step-by-step explanation:

Boat with 7 gallons of gas = 21 miles

Boat with 1 gallon of gas = 21/7 = 3 miles

Boat with 17 gallons of gas = 17 x 3 = 51 miles

Answer:

51 miles

Step-by-step explanation:

1 gallon = 3 miles

17 gallons = ? miles

17 * 3 = 51 miles

41.9 mi

Step-by-step explanation:

First, we convert the angle from degree measure to radian measure:

[tex]\theta = 240°×\left(\dfrac{\pi}{180°}\right)= \dfrac{4\pi}{3}\:\text{rad}[/tex]

Using the definition of an arc length [tex]s[/tex]

[tex]s = r\theta[/tex]

[tex]\:\:\:\:=(10\:\text{mi})\left(\dfrac{4\pi}{3}\:\text{rad}\right)[/tex]

[tex]\:\:\:\:= 41.9\:\text{mi}[/tex]

Answer:

Step-by-step explanation:

Answer:

A. 6

B. 2

C. 8

D. 3

all the answers to the previous questions

The value of the function (f -g)(x) will be 2x^3 + 7x^2 - 7x - 3

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable, Linear function is a function whose graph is a straight line

We are given that the function as;

[tex]f(x) = 2x^3 + 7x^2 - 4x - 5[/tex]

[tex]g(x) = 3x - 2[/tex]

We need to find the function as (f - g)(x)

(f -g)(x) = f(x) -g(x)

(f -g)(x) = 2x^3 + 7x^2 - 4x - 5 - 3x + 2

(f -g)(x) = 2x^3 + 7x^2 - 7x - 3

Therefore, the correct option is C 2x^3 + 7x^2 - 7x - 3

Learn more about function here:

https://brainly.com/question/2253924

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