Steve Fossett completed the first solo balloon circumnavigation of the world after 13.5 days. Assuming the balloon travelled along a circle of diameter 12 750 km, roughly what was the average speed of the balloon in km/h?

A) 12
B) 40
C) 75
D) 120
E) 300​

Answer:

1.

v = 12

-10.9 + 4v

-10.9 + 4(12)

-10.9 + 48

= 37.1

Step-by-step explanation:

Given

X+ 2 = 0

X = -2

on putting in polynomial

-8a +2b= 0

- 8a = 2b

b = -4a

Now

when divided by x - 1 give remainder -15

so

x - 1 = -15

x = -14

on putting in polynomial

-2744a + 198 + 14b - 4 = -14

-2744a + 56a = - 208

-2688a = -208

a = 168/13

Now

b = 672/13

Answer:

B

Step-by-step explanation:

Expand (x+5)^2 through binomial expansion and you get x^2+10x+25.

Break up the problem into little pieces like (x-5)(x+5) and 10(x+5)

Solve the first piece (x-5)(x+5) by doing something like FOIL.

x^2-25

Do the second piece

10x+50

When you add them together, it becomes x^2+10x+25, and (x+5)^2=(x-5)(x+5)+10(x+5).

Answer:6x=

2=

X=1.5

Step-by-step explanation:

Answer:  see proof below

Step-by-step explanation:

Given: A + B + C = π              → A + B = π - C

                                              → B + C = π - A

                                              → C + A = π - B

                                              → C = π - (B +  C)

Use Sum to Product Identity:  cos A + cos B = 2 cos [(A + B)/2] · cos [(A - B)/2]

Use the Sum/Difference Identity: cos (A - B) = cos A · cos B + sin A · sin B

Use the Double Angle Identity: sin 2A = 2 sin A · cos A

Use the Cofunction Identity: cos (π/2 - A) = sin A

Proof LHS → Middle:

[tex]\text{LHS:}\qquad \qquad \cos \bigg(\dfrac{A}{2}\bigg)+\cos \bigg(\dfrac{B}{2}\bigg)+\cos \bigg(\dfrac{C}{2}\bigg)[/tex]

[tex]\text{Sum to Product:}\qquad 2\cos \bigg(\dfrac{\frac{A}{2}+\frac{B}{2}}{2}\bigg)\cdot \cos \bigg(\dfrac{\frac{A}{2}-\frac{B}{2}}{2}\bigg)+\cos \bigg(\dfrac{C}{2}\bigg)\\\\\\.\qquad \qquad \qquad \qquad =2\cos \bigg(\dfrac{A+B}{4}\bigg)\cdot \cos \bigg(\dfrac{A-B}{4}\bigg)+\cos \bigg(\dfrac{C}{2}\bigg)[/tex]

[tex]\text{Given:}\qquad \quad =2\cos \bigg(\dfrac{A+B}{4}\bigg)\cdot \cos \bigg(\dfrac{A-B}{4}\bigg)+\cos \bigg(\dfrac{\pi -(A+B)}{2}\bigg)[/tex]

[tex]\text{Sum/Difference:}\quad =2\cos \bigg(\dfrac{A+B}{4}\bigg)\cdot \cos \bigg(\dfrac{A-B}{4}\bigg)+\sin \bigg(\dfrac{A+B}{2}\bigg)[/tex]

[tex]\text{Double Angle:}\quad =2\cos \bigg(\dfrac{A+B}{4}\bigg)\cdot \cos \bigg(\dfrac{A-B}{4}\bigg)+\sin \bigg(\dfrac{2(A+B)}{2(2)}\bigg)\\\\\\.\qquad \qquad \qquad =2\cos \bigg(\dfrac{A+B}{4}\bigg)\cdot \cos \bigg(\dfrac{A-B}{4}\bigg)+2\sin \bigg(\dfrac{A+B}{4}\bigg)\cdot \cos \bigg(\dfrac{A+B}{4}\bigg)[/tex]

[tex]\text{Factor:}\quad =2\cos \bigg(\dfrac{A+B}{4}\bigg)\bigg[ \cos \bigg(\dfrac{A-B}{4}\bigg)+\sin \bigg(\dfrac{A+B}{4}\bigg)\bigg][/tex]

[tex]\text{Cofunction:}\quad =2\cos \bigg(\dfrac{A+B}{4}\bigg)\bigg[ \cos \bigg(\dfrac{A-B}{4}\bigg)+\cos \bigg(\dfrac{\pi}{2}-\dfrac{A+B}{4}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad =2\cos \bigg(\dfrac{A+B}{4}\bigg)\cdot \cos \bigg(\dfrac{A-B}{4}\bigg)+\cos \bigg(\dfrac{2\pi-(A+B)}{4}\bigg)\bigg][/tex]

[tex]\text{Sum to Product:}\ 2\cos \bigg(\dfrac{A+B}{4}\bigg)\bigg[2 \cos \bigg(\dfrac{2\pi-2B}{2\cdot 4}\bigg)\cdot \cos \bigg(\dfrac{2A-2\pi}{2\cdot 4}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad =4\cos \bigg(\dfrac{A+B}{4}\bigg)\cdot \cos \bigg(\dfrac{\pi-B}{4}\bigg)\cdot \cos \bigg(\dfrac{\pi -A}{4}\bigg)[/tex]

[tex]\text{Given:}\qquad \qquad 4\cos \bigg(\dfrac{\pi -C}{4}\bigg)\cdot \cos \bigg(\dfrac{\pi-B}{4}\bigg)\cdot \cos \bigg(\dfrac{\pi -A}{4}\bigg)\\\\\\.\qquad \qquad \qquad =4\cos \bigg(\dfrac{\pi -A}{4}\bigg)\cdot \cos \bigg(\dfrac{\pi-B}{4}\bigg)\cdot \cos \bigg(\dfrac{\pi -C}{4}\bigg)[/tex]

LHS = Middle [tex]\checkmark[/tex]

Proof Middle → RHS:

[tex]\text{Middle:}\qquad 4\cos \bigg(\dfrac{\pi -A}{4}\bigg)\cdot \cos \bigg(\dfrac{\pi-B}{4}\bigg)\cdot \cos \bigg(\dfrac{\pi -C}{4}\bigg)\\\\\\\text{Given:}\qquad \qquad 4\cos \bigg(\dfrac{B+C}{4}\bigg)\cdot \cos \bigg(\dfrac{C+A}{4}\bigg)\cdot \cos \bigg(\dfrac{A+B}{4}\bigg)\\\\\\.\qquad \qquad \qquad =4\cos \bigg(\dfrac{A+B}{4}\bigg)\cdot \cos \bigg(\dfrac{B+C}{4}\bigg)\cdot \cos \bigg(\dfrac{C+A}{4}\bigg)[/tex]

Middle = RHS [tex]\checkmark[/tex]

Answer:

2xy(2x+y)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here is a picture of the answer, since I couldn't put into words!

The mass of 15 liters of oil is 13.65 kg.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that performs the arithmetic operations are called arithmetic operators.

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

Density is the ratio of the mass of the body to the volume of the body.

Density = Mass / Volume

Given that oil has a density of 0.91 grams per milliliter

To determines the mass, in kilograms, of 15 liters of this oil

Rearranging the equation,

Mass = Density × Volume

∵ 15 liters = 15000 milliliters (ml)

So, 0.91g/ml x 15000ml = 13650g

∵ 1 kilogram = 1000grams

⇒ 13650g / 1000g/kg

⇒ 13.65kg

Thus, the mass of 15 liters of oil is 13.65kg.

Learn more about Arithmetic operations here:

brainly.com/question/25834626

#SPJ2

Answer:

20

Step-by-step explanation:

Substitute x = 6 into f(x), that is

f(6) = 2(6) + 8 = 12 + 8 = 20

Answer:

1.429 × 10^-3

Step-by-step explanation:

since it's below 1, you're moving the decimal to the right, which makes the 3 negative.

Answer:

4x - 4 -9x + 6 = 12x + 24

arrange like terms

-5x +2 = 12x + 24

or, -17x = 22

x = - 22/17

Answer:

4x-4-9x+6=12x+24

4x-12x-9x= 4-6+24

-17 x= 22

X= -22/17

mark it as brainliest!!!

Answer:

I hope it will help you :)

Answer:

6! = 720

3! - 2! = 12

6!/3!= 120

Step-by-step explanation:

just finished the assignment.

Answer:

6.68, 13.37, 14.95

Step-by-step explanation:

One of the legs is twice as long as the other.

b = 2a

The perimeter is 35.

35 = a + b + c

The triangle is a right triangle.

c² = a² + b²

Three equations, three variables.  Start by plugging the first equation into the second and solving for c.

35 = a + 2a + c

c = 35 − 3a

Now plug this and the first equation into the Pythagorean theorem:

(35 − 3a)² = a² + (2a)²

1225 − 210a + 9a² = a² + 4a²

1225 − 210a + 4a² = 0

Solve with quadratic formula:

a = [ -(-210) ± √((-210)² − 4(4)(1225)) ] / 2(4)

a = (210 ± √24500) / 8

a ≈ 6.68 or 45.82

Since the perimeter is 35, a = 6.68.  Therefore, the other sides are:

b ≈ 13.37

c ≈ 14.95

Answer:

[tex]y = \frac{1}{2} x - 8[/tex]

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient (also known as slope) and c is the y-intercept (the point through which the line cuts through the y-axis).

[tex]\boxed{gradient = \frac{y1 - y2}{x1 - x2} }[/tex]

Using the gradient formula above,

[tex]m = \frac{ -4 - ( - 6)}{8 - 4} \\ m = \frac{ - 4 + 6}{4} \\ m = \frac{2}{4} \\ m = \frac{1}{2} [/tex]

Substitute the value of m into the equation:

y= ½x +c

To find the value of c, substitute a pair of coordinates.

When x=4, y= -6,

-6= ½(4) +c

-6= 2 +c

c= -6 -2 (-2 on both sides)

c= -8 (simplify)

Thus, the equation of the line is y= ½x -8.

Answer:

Step-by-step explanation:

Step-by-step explanation:

vt7vy7v fyy7ctyxt6zqDg gj

Answer:

should be answer A

Step-by-step explanation:

Answer:

I'm pretty sure the answer is D

Step-by-step explanation:

it appears to be a reflection to the plane below it. and it is one of the only ones to remain its shape and stay rigid(the same)

Answer:

Yes

Step-by-step explanation:

The smaller the negative number, the greater it is. i.e., -230 < -9.

Answer:

yes

Step-by-step explanation:

it is closer to zero on a number line, therefore the value of -4 is higher even though it's negative

Answer:

177.2 i think

Step-by-step explanation:

Answer:

.A -42+(-17)

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

In a polygon

interior angle + interior angle = 180°, thus

exterior angle = 180° - 144° = 36°

The sum of the exterior angles in a polygon = 360°, thus

number of sides = [tex]\frac{360}{36}[/tex] = 10

Answer:

10 sides

Step-by-step explanation:

A decagon is a 10-sided polygon, with 10 interior angles, and 10 vertices which is where the sides meet. A regular decagon has 10 equal-length sides and equal-measure interior angles. Each angle measures 144° and they all add up to 1,440°.

Answer:

The Answer is 2(3x^10-2) Hope this helps :)

-by-step explanation:

Answer:

A would be the anwser

Step-by-step explanation:

Answer:  A. 72.07

Step-by-step explanation: Plato

Answer:

3.6

Step-by-step explanation:

Step 1: Find out what 48 ÷ 5 is

9.6

Step 2: Subtract 6 from 9.6

3.6

Answer: The answer i think is A

Step-by-step explanation:45w stands for how much she paid each week, while 123.95 stands for a one time payment

This all should equal 753.95 which is how much they paid in total.

Answer:

the answer is reflective

Step-by-step explanation:

Answer:

A). reflexive

Step-by-step explanation:

The correct answer is reflexive. I know because I got it right on the Edge quiz. Trust me!

Answer:it is a translation

Step-by-step explanation:a translation is just a movement up down left or right not diagonal you’re just moving it up down left or right across the grid

Answer:

Yes

Step-by-step explanation:

Because a translation moves a shape up, down, or from side to side but it does not change its appearance in any other way. The translation is an example of a transformation. A transformation is a way of changing the size or position of a shape. Every point in the shape is translated at the same distance in the same direction.