Adan and Darlene have entered the Pythagorean Lake Endurance Trial. Part of the competition requires them to travel from Geoville, which is on the south side of the lake, to Triple City, which is across the lake and due north of Geoville. Adan decides to ride his scooter from Geoville to Angle Point, which is 20 miles due east of Geoville, and then continue on to Triple City. There is a direct route that runs in a straight line for 25 miles from Angle Point to Triple City. Adan's scooter can go no faster than 35 mph. Darlene thinks she can beat Adan to Triple City by taking a fishing boat (average speed 12 mph) directly from Geoville to Triple City. Who will get to Triple City first? Explain your solution.

Step-by-step explanation:

This is well within the mass uncertainty of 0.01% (6×1020 kg), so the estimated value of Earth's mass is unaffected by this factor. Mass loss is due to atmospheric escape of gases. About 95,000 tons of hydrogen per year (3 kg/s) and 1,600 tons of helium per year are lost through atmospheric escape.

Answer:

3/10

Step-by-step explanation:

because if you use a calculator that answer would be 0.9 which is 9/10 as a decimal and if u did it yourself then you would do 1/3 x 9/10 and you would get 9/30 which is 3/10 if u simplify it

Answer:

Step-by-step explanation:If we add the first and second equations, we will eliminate both the x and the y.

(2x + y + z) + (2x - y - z) = (3) + (9)

2x + y + z + 2x - y - z = 3 + 9

4x = 12

x = 3

So, x must equal 3.

Now, if we put 3 into each equation, we have the following equations:

6 + y + z = 3

6 - y - z = 9

3 + y - z = 0

Now, we can move all the numbers to the right side:

y + z = -3

-y - z = 3

y - z = -3

Now, we can try to eliminate another variable. If we add the second two equations, we can eliminate y.

(-y - z) + (y - z) = (3) + (-3)

-y -z + y - z = 0

-2z = 0

z = 0 (because, if we divide both sides by -2 to isolate z, 0/[-2] = 0)

So, now we have x = 3 & z = 0.

Now, pick any of the original equations and plug these values of x & z in, and you will get y.

2x + y + z = 3

2(3) + y + 0 = 3

6 + y + 0 = 3

6 + y = 3

y = -3

So, now we have x = 3, y = -3, & z = 0.

These are the only x, y, and z values that work for all 3 equations

Answer:

sine D = 0.9459

sine E = 0.3243

Step-by-step explanation:

Mathematically, sine is the ratio of the opposite to the hypotenuse

The hypotenuse is the longest side and we have it as 37 in the diagram given

the opposite to angle E is 12

So the sine of E = 12/37 = 0.3243

For D , its opposite is 35

The sine of D = 35/37

sine of D = 0.9459

Answer:

NAACP Founder Charles Edward Russell

Step-by-step explanation:

from g o o g l e

Answer:

Derrick Johnson

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer:

9 inches

Step-by-step explanation:

i divided 36 by 4

Answer:

9 inches

Step-by-step explanation:

You divide 36 by 4 which gives you 9 inch

Mark Brainliest Pls :(

Answer:

38cm

Step-by-step explanation:

p=2l+2w=2×15cm+2×4cm=30cm+8cm=38cm

Answer and explanation:

Cable tv cost changed by $67-$55= $12= 12/55×100=21.818%

Cable TV cost increased by 21.818% of original cost

Dozen of eggs cost changed by $2.19-$1.79= $0.4= 0.4/1.79×100= 22.636%

Dozen of eggs cost increased by 22.636% of original cost

Therefore both customers can't be correct, cost of a dozen of eggs increased the most.

Answer:

The answer is B

Step-by-step explanation:

Answer:

So, The possible values of h and r are

1. r = 3 , h = 3

2. r = 1, h = 27

3. r = 2, h = 6.75

Step-by-step explanation:

P.S - The exact ques is -

As we know that Volume of cone , V = [tex]\frac{1}{3}\pi r^{2}h[/tex]

As given,

V = [tex]9\pi[/tex]

⇒[tex]\frac{1}{3}\pi r^{2}h = 9\pi \\ \frac{1}{3} r^{2}h = 9 \\r^{2}h = 27[/tex]

So,

The possible values of h and r are

1. r = 3 , h = 3

2. r = 1, h = 27

3. r = 2, h = 6.75

In Case I-

When r = 3, h = 3

(3)² ×3 = 9×3 = 27

Satisfied

Case II-

r = 1, h = 27

(1)²×27 = 1×27 = 27

Satisfied

Case III-

r = 2, h = 6.75

(2)²×6.75 = 4×6.75 = 27

Satisfied

If the radius of the base of the cone is 2 inches then the height of the cone should be 2.1485 inches.

The volume of the cone is the volume occupied by the cone. It is given by the formula,

[tex]\text{Volume of the cone}= \dfrac{1}{3} \pi r^2h[/tex]

where r is the radius of the base, and h is the height of the cone.

Now, as it is given that cones need to hold 9 cubic inches of popcorn. therefore, the volume of the cone can be written as,

[tex]\text{Volume of the cone}= \dfrac{1}{3} \pi r^2h\\\\9 \times 3 = \pi r^2h\\\\\dfrac{9 \times 3}{\pi}=r^2 h\\\\8.5943 = r^2 h[/tex]

Thus, the product of the square of the radius and the height of the cone should be such that the result is 8.5943.

Now, let the radius of the cone be 2 inches, therefore, the height of the cone is,

[tex]8.5943 = r^2 h\\\\8.5943 = (2^2) h\\\\h = 2.1485\rm\ in[/tex]

Hence, if the radius of the base of the cone is 2 inches then the height of the cone should be 2.1485 inches.

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Answer:

m=1/2

Step-by-step explanation:

By counting, the y-value goes up 2 and the x-value goes up 4. This gives you 2/4, which simplifies to 1/2

Answer:

Q1: 28 : 3

Q2: 36 : 3

Step-by-step explanation:

Q1 EXPLANATION:

theirs 7 days in a week and theirs four weeks

4 x 7 = 28, theirs 3 days

            28 : 3

Q2 EXPLANATION:

Theirs 12 in a dozen and theirs 3 dozens

3 x 12 = 36, theirs 3 eggs

           36 : 3

Q3 EXPLANATION:

8 litres is 144 km

divide both by 4

2 litres is 36 km

then times both by 3

6 litres is 108 km

Answer:

y = 2/3x + 4

Step-by-step explanation:

Slope-intercept form of a line:

To find the equation of a line, we need two points that the line passes through.  

We can use the x-intercept and y-intercept of the line: (-6,0) and (0,4), respectively.

Find the slope of the line using these two points:

Plug the two points into the formula.

Subtract and simplify this fraction.

The slope of this line is m = 2/3.

Now we can look at the graph to determine the y-intercept of this line; the line intersects the y-axis at (0,4) so the constant b = 4.

We can use the slope, m, and the y-intercept, b, and substitute these values into the slope-intercept form of a line.

The equation of the line is y = 2/3x + 4.

Answer:

y = 2/3x + 4

Step-by-step explanation:

Slope-intercept form of a line:

y = mx + b

where m = slope and b = y-intercept

To find the equation of a line, we need two points that the line passes through.  

We can use the x-intercept and y-intercept of the line: (-6,0) and (0,4), respectively.

Find the slope of the line using these two points:

Slope formula:  

Plug the two points into the formula.

Subtract and simplify this fraction.

The slope of this line is m = 2/3.

Now we can look at the graph to determine the y-intercept of this line; the line intersects the y-axis at (0,4) so the constant b = 4.

We can use the slope, m, and the y-intercept, b, and substitute these values into the slope-intercept form of a line.

y = 2/3x + 4

The equation of the line is y = 2/3x + 4.

Answer:

89

Step-by-step explanation:

Answer:-3

Step-by-step explanation:

40-7=33

33/-11=-3

The x = 3 the quadratic equation D) y = 2x² -3x +7 will have maximum value.

The maximum and minimum values of a function:

The maximum and minimum values are the highest and lowest values that a function can reach over a particular domain.

For example, in a quadratic function, the maximum or minimum value is the highest or lowest point on the graph, respectively.

If a function has a maximum value, it means that the function reaches its highest point at a certain value of x.

On the other hand, if a function has a minimum value, it means that the function reaches its lowest point at a certain value of x.

Here we have

(A) y = x²-6x +19  

At x = 3

y = (3)² - 6(3) + 19  

= 9 - 18 + 19 = 10

(B) y = -4x²+24x -21

At x = 3

y = -4 (3)² + 24(3) - 21

= - 4(9) + 72 - 21

= 15

(C) y= -2x² +20x -49

At x = 3

y = - 2 (3)² + 20(3) - 49

= - 18 + 60 - 49

= - 7

(D) y = 2x² -3x +7    

At x = 3

y = 2(3)³ - 3(3) + 7

= 18 - 9 + 7

= 16

Therefore,

The x = 3 the quadratic equation D) y = 2x² -3x +7 will have maximum value.

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Answer:

25 divided by 40=0.625 rounded is 0.6 is ur answer!

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

A rational function range or possible answer cant be zero since on a rational function we dont want what we call vertical and horizontal asymptote are when y=0 or when x=0 so it can be any real number except 0.

Answer:

18 and 32

Step-by-step explanation:

Answer:

Im pretty sure it's 2, but Im not sure

Step-by-step explanation:

Step-by-step explanation:

well..this is the answer..using..time formula

The number of possible 3 - digit codes would be 900.

"A combination is a way of selecting items from a collection."

For given situation,

It is a three digit code with 0 can't be the first digit.

This means the for this combination first digit can takes values from 1 - 9 and the second and third digits can take values from 0 - 9.

So, the number of possible 3 - digit codes would be,

9 × 10 × 10 = 900

Therefore, the number of possible 3 - digit codes would be 900.

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Answer:

121

Step-by-step explanation:

If you add them all up, 87+105+135+92= 419

the pentagon is equal to 540 degrees so minus 540 by 419

then you get 121

Answer:

6 early-admission tickets.

Step-by-step explanation:

20% / 100 = 0.2 ; Dividing a percentage by 100 will give you its actual value, instead of the percentage.

0.20 x 30 tickets = 6 early-admission tickets. ; What we're saying here is that since 0.20 and 20% are the same, we can figure out what 20% of 30 is, which is 6.