Kate is the captain of a large cruise ship. As she
drives the ship, she sits 50 meters above the sea.
Paul is the captain of a boat. He sits 15 meters
above the sea. If the radius of the earth is
6,371,000 meters, how much further can Kate see
across the horizon than Paul?

Answer:

vertex = (4, - 37 )

Step-by-step explanation:

the equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

f(x) = 2x² - 16x - 5 ← factor 2 out of the first 2 terms

    = 2(x² - 8x) - 5

using the method of completing the square

add/subtract ( half the coefficient of the x- term )² to x² - 8x

f(x) = 2(x² + 2(- 4)x + 16 - 16) - 5

    = 2(x - 4)² - 32 - 5

   = 2(x - 4)² - 37 ← in vertex form

with vertex = (4, - 37 )

Answer:

There are no solutions. this equation  seems wrong

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

Answer:

a=108;b=36;c=72

Step-by-step explanation:

Answer:

a = 108°

b = 36°

c = 72°

Step-by-step explanation:

Note : the sum of the interior angles of a regular pentagon = 540°

Then

The measure of one interior angle of a reg pentagon =540/5 = 108°

Therefore a = 108°

c = 180 - 108 = 72°

SRT is a new isosceles triangle then :

[tex]b=\frac{180-108}{2} = \frac{72}{2} =36[/tex]

Answer:

3

Step-by-step explanation:

Using Pythagoras formula

h^2 = (root under) p^2 +b^2

or, h^2= 20^2 + 21^2

or, h^2= 400+441

or, h^2= 841

or, h= (root under) 841

Therefore h= 29

Now,

Perimeter of a triangle= a+b+c

= 20+21+29

=70

Answer:

in particular, the relationship between height of stack and number of cups yields a non-whole number of cups, corresponding to a height of 95 cm. In this context, that is not possible because we do not allow for parts of cups.

Step-by-step explanation:

It is possible for a stack of cups to be 95 cm tall depends on the size and shape of the cups and how they are stacked.

The area of Rectangle is length times of width.

Assuming the cups are all the same size and shape, the height of the stack would depend on the number of cups in the stack.

if each cup is 5 cm tall, a stack of 19 cups would be 95 cm tall (19 x 5 = 95).

If the cups are irregularly shaped or have varying sizes, it may be more difficult to stack them in a way that reaches 95 cm in height.

It is possible for a stack of cups to be 95 cm tall depends on the size and shape of the cups and how they are stacked.

It is possible for some stacks of cups to reach this height, but not necessarily all stacks of cups.

Hence, it is possible for a stack of cups to be 95 cm tall depends on the size and shape of the cups and how they are stacked.

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Answer:

24 units

Step-by-step explanation:

I really don't understand this, except for the fact that i found a workbook that has an answer with no work

hope this helps?:)

The value of the addition of the numbers 7.8+917.62 will be 925.42.

The method of increasing the number is called the addition. or the sum of the two numbers is termed as the addition.

The addition of the numbers will be done as:-

917.62

 +7.80

925.42

First, arrange the number one to another then add from the unit places you will get your answer.

So the addition of the numbers will be 925.42

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Answer:

-33

Step-by-step explanation:

-17and den u add &16 together soon u have to additional into get -33

Answer:

8 inches.

Step-by-step explanation:

3 1/4 + 4 3/4

= 3 + 4 + 1/4 + 3/4

= 7 + 4/4

= 7 + 1

= 8 inches.

Answer:

The child grew 8 inches

Step-by-step explanation:

Step 1:  Convert to improper fractions

[tex]3\frac{1}{4}[/tex]

[tex]\frac{1+(3*4)}{4}[/tex]

[tex]\frac{1+12}{4}[/tex]

[tex]\frac{13}{4}[/tex]

[tex]4\frac{3}{4}[/tex]

[tex]\frac{3+(4*4)}{4}[/tex]

[tex]\frac{3+16}{4}[/tex]

[tex]\frac{19}{4}[/tex]

Step 2:  Combine the fractions

[tex]\frac{13}{4}+\frac{19}{4}[/tex]

[tex]\frac{13+19}{4}[/tex]

[tex]\frac{32}{4}[/tex]

[tex]8[/tex]

Answer:  The child grew 8 inches

Answer:

15 balloons

Step-by-step explanation:

20 - 5 = 15

hope this helps:)

Answer:

15 ballons

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

Answer:

500

Step-by-step explanation:

If 700 is 14%, then x=100%

We do:

700=14%

x=100%

Then, we cross multiply to get

14x=7000

We divide 14 on each side, and get x=7000/14 which is x=500

So there are 500 total students in the middle school

Hope this helped you! If the answer is wrong, please tell me and I will correct it. Also, I would appriceate if you gave me a Brainliest. It means a lot to me :D

Answer:

b < 12.5

Step-by-step explanation:

2b + 5 < 30

1. Subtract 5 from both sides:

2b < 25

2. Divide both sides by 2:

b < 12.5

Final answer: b < 12.5

The value of b is any value that is less (smaller) than 12.5.

Hope this helps!

Assuming that L and d are known numbers, we can write.

[tex]W = \frac{49d + 91}{L}[/tex]

Remember that for a rectangle of width W and length L, the area is given by:

A = L*W

In this case, the area is 49d + 91, and the length is a known number, so we know the value of L.

Then we can write:

A = L*W =  49d + 91

To get the value of W, we need to isolate it on one side of the equation.

We can do that by dividing both sides by L.

[tex]W = \frac{49d + 91}{L}[/tex]

We assume that d and L are known, so with the above rational expression, we have W totally determined.

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The dot plot with the least variability will be C.

Suppose we're measuring something whose values are numeric. For each value of that thing we observe, we plot a dot above that value in the number line. Thus, the total number of dots in the dot plot tells us the total number of observations of the values of that thing we did.

Thus, suppose if we observed the value 'x', then we will make a dot above 'x'. If there is already a dot over 'x', then we will make a new dot over that dot.

The dot plot with the least variability will be C.

The graph is given below.

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Answer:

Positive Trend

Step-by-step explanation:

As the y-values tend to increase with increase in x-values, we can consider this scatter plot to have a positive trend.

Answer:

each friend will get 5/4 or 1.25 cups of lemonade

Step-by-step explanation:

5 divide by 4 since there are 4 friends.

so 5/4 of the lemonade will be shared by each friend.

Step-by-step explanation:

each friend would get 1.25 cups each

the question says that the samples included 100 people each, so it's just 100 multiplied by the amount of samples:

7×100=700

Answer: It looks like the answer is 50. But i would go over it with a calculator.

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

X^2*x^3 → x^5

x^5 = 243 means x = 3

Answer:

The number is 3.

Step-by-step explanation:

Let "The square of the number" be x^2.

Let "the cube of the same number" be x^3.

"product" means multiplication.

x^2 • x^3 = 243

Multiply. To multiply, add the exponents.

x^5 = 243

Take the 5th root of both sides. You can do this on many scientific calculators with a x^y button. Or raise 243^ (1/5)

1/5 power is the same as 5th root.

You might do it in your head by thinking "what number to the 5th power is 243"

x = 3

Check 3^5 = 243

also

3^2 • 3^3 = 43

9 • 27 = 243

243 = 243 check

Answer:

x = 164.10

Step-by-step explanation:

translated question says :

200.50 + 4x = 856.90

4x=656.40

x = 164.10

Answer:

[tex]\frac{34}{40}[/tex]

Step-by-step explanation:

Answer:

Answer(s):

1x4

2+2

2x2

Step-by-step explanation:

Hope this helps!

Answer:

48 lots

Step-by-step explanation:

Step-by-step explanation:

184% = 46/25 = 1 21/25 as a fraction

Part A

I'm assuming you want the area of a circle with radius 17 yards.

We'll use the formula below

A = pi*r^2

A = (22/7)*17^2

A = (22*17^2)/7

A = 6358/7

A = 908  2/7

The sprinkler covers an area of about 908  2/7 square yards.

You'll type 908 in the left-most box

Then for the other two boxes, you'll have 2 up top and 7 down below to represent the fraction 2/7

The number 908  2/7 is a mixed number.

=======================================================

Part B

You mentioned that the radius reduces to 11 yards here. We'll use the same formula as above and pi = 22/7 approximately

A = pi*r^2

A = (22/7)*11^2

A = (22*11^2)/7

A = 2662/7

A = 380  2/7

The sprinklers can water an area of about  380  2/7  square yards.

This value is also a mixed number

380 is the value in the left most box (it's the whole part)

The other two boxes are filled out the same exact way as the previous part above.

Answer:

8.80 if it's the 40°/.

2.20 if it's the 10°/. processing fee

13.20 for how much he paid