The platform of a roller coaster is 12 feet off the ground. The first hill rises an additional 102 feet. The first drop is 90 feet. How far off the ground is the rollercoaster after the first drop?

Answer:

2.30139104 US dollar

i think

Step-by-step explanation:

Answer: 9, 18, 21, and 23 respectively

Step-by-step explanation:

To solve any problem like this, you want to assign a variable to each child because you dont know their age. So lets write an equation and assign variables to these children.

r = first child (youngest)

x = second child

y = third child

z = fourth child (oldest)

We know that r + x + y + z = 71

We also are given info on the comparisons of their ages.

r = r

x = 2r (2 times the youngest)

y = 12 + r (12 more than the youngest)

z = 3r - 4 (4 less than 3 times the youngest)

That was the easy part tbh, now we have to solve for 'r'. We can see that all the ages are a function of the same variable (r), and we know the sum of them is equal to 71. So lets solve for r and then plug that r value into each equation we just derived.

Child #1 (youngest)

[tex]r+2r+(12+r)+(3r-4)=71\\3r+12+r+3r-4=71\\7r+12-4=71\\7r+8=71\\7r=63\\r=9yrs[/tex]

Child #2

[tex]x=2*9=18yrs[/tex]

Child #3

[tex]y=12+r=12+9=21yrs[/tex]

Child #4 (oldest)

[tex]z=3r-4=(3*9)-4=27-4=23yrs[/tex]

Fact Check:

[tex]9+18+21+23=71[/tex]

Answer:

The angle between [A_F] and the base of the cone = 68.2°

The area of the base of the cone ≈ 12.57 m²

Step-by-step explanation:

The given parameters are;

The height of the cone = 5 m

The base radius of the cone  = 2 m

The angle which the A[tex]\hat O[/tex]C = 120°

Therefore, we have;

The angle between [A_F] and the base of the cone = The angle between [CF]  and the base of the cone

The angle between [CF]  and the base of the cone = tan⁻¹(5/2) = tan⁻¹(2.5) ≈ 68.2°  

∴ The angle between [A_F] and the base of the cone = The angle between [CF]  and the base of the cone = 68.2°

The angle between [A_F] and the base of the cone = 68.2°

The area of the base of the cone = π × r² = π × 2² = 4·π ≈ 12.57

The area of the base of the cone ≈ 12.57 m².

Answer:

C the First page

Step-by-step explanation:

1) you input the 2 into the T So the equation would look like this

15+2.5*(times) 2

2) I'm not sure for the second

3) A because you are using the number given then multiplying.

1.58* times 5 = 7.5

But the starting number would be 1.5 sense that's  the first number given

No one report me please.

Answer:

Diameter of the ball = 8 inches

Radius of the ball (r) = diameter ÷ 2 = 8 ÷ 2 = 4 inches

π = 3.14

Surface area of the ball (A) is the same as the surface area for a sphere = 4 π r² = 4 × 3.14 × 4² = 200.96 inches²

Step-by-step explanation:

hi nice to meet you

Using the formula of volume of sphere, the volume of the rubber ball is 14[tex]inches^{3}[/tex] approximately.

The volume of sphere is the amount of space occupied, within the sphere.

Diameter of sphere = 3 inches

Radius of sphere = 3/2 = 1.5 inches

Volume of sphere = [tex]\frac{4}{3}\pi r^{3}[/tex] = [tex]\frac{4}{3}*\frac{22}{7}*1.5^{3}[/tex] = 14.13 [tex]inches^{3}[/tex]

Learn more about volume of sphere here

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Answer:

6.14 is Rational only

Given parameters:

Simba temperature in the morning  = 6°C

Temperature drop = 9°C

Unknown:

Temperature during the night = ?

Solution:

 Since the temperature in the morning is given;

 Temperature at night  = Morning temperature  - drop in temperature

  Temperature at night = 6°C - 9°C = -3°C

The temperature at night is  -3°C

Answer:

As an equation: 15 × x = -75

Solved: x = -5

Step-by-step explanation:

15*x = -75

[tex]\frac{15*x}{15}[/tex] = [tex]-\frac{75}{15}[/tex], Divide by 15 on both sides to solve for x

x=[tex]-\frac{75}{15}[/tex], The 15 in the numerator cancels out with the denominator

x= -5, because 75/15=5

Answer:

The first one would be the third one and the second one would be the second one.

Step-by-step explanation:

The first quadrant is a (Positive, Positive), the second one is a (Negative, Positive), the third one is a (Negative, Negative) and the fourth one is a (Positive, Negative)

[tex]{Hello!\;your\;answer\;is>>>}[/tex]  [tex]\huge\boxed{1.25}[/tex]

[tex]We\;have\;the\;equation\;below...[/tex]

[tex]\boxed{15\;Divided\;By\;12=\;(?)}[/tex]

[tex]The\;number\;equal\;to\;this\;is\;\boxed{1.25}[/tex]

[tex]\boxed{Hope\;i\;helped!}[/tex]

Number equivalent to 15/12 is 1.25 .

Given,

15 divided 12

Using division property,

The rules for division are:

(1) positive × or ÷ positive = positive

(2) positive × or ÷ negative = negative

(3) negative × or ÷ negative = positive

Rule for long division method,

Divide the tens column dividend by the divisor.

Multiply the divisor by the quotient in the tens place column.

Subtract the product from the divisor.

Bring down the dividend in the ones column and repeat.

Therefore,

divide, multiply, subtract, bring down and repeat or find the remainder.

Here the required value is of :

15/12

=5/4

= 1.25

Hence the answer is 1.25

Know more about division,

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Answer:

The lawn care is the most sucsessful.The most money is earned and the uh House shelter or whatever is in the middle and the dog thing is the least sucsesful with the money.

For the second,i dont get it.

The lawn care is wealthy BUT never judge a book by its cover so the lawn care (lc)may be dirty,smelly,uncivilized,or just no privacey.

Answer:

p = 45 - 2.5f

Step-by-step explanation:

5f + 2p = 90

just manipulate the equation, treat it like a regular algebra equation and solve for p by inverse operations and simplifying

5f + 2p = 90

-5f           -5f

2p = 90 - 5f

/2       /2

p = [tex]\frac{90 -5f}{2}[/tex]

p = 45 - 2.5f

Answer:

in 234,230 feet there are 44.36 miles

Answer:

A,D

Step-by-step explanation:

Answer:

360 is a triangle

360-90=270

270÷2=135

Answer:

It looks like you can keep the same nad just add the exponents

Step-by-step explanation:

plzz mark brainliest

Answer:

-56

Step-by-step explanation:

Assuming this is negative 8 times 7 the answer is -56 because one negative times one positive is always a negative answer.

Answer:

-56

Have a nice day pls rate me and like.

: )

Answer:

yes

Step-by-step explanation:

10x10=6x6 + 8x8

100= 36 + 64

Pythagoras theorem

Answer:

hi! I put a pdf of the solution below. hope it helps :) feel free to ask if you need anything else

Answer:

t1 = $25m

t2 = $(10m + 100)

Step-by-step explanation:

Here we want to write equations

Kiera chose plan 1

$25 monthly and no joining fee

So the amount after m months will be 25 * m

t1 = $25m

Trina chose plan 2

$10 a month and $100 joining fee

after m months , total payment will be

10(m) + 100 = $(10m + 100)

Thus t1 = $25m and t2 = $(10m + 100)

Answer:

24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

The median is the number in the middle. So first we order these numbers up which is:

2  15  16  23  24  25  25  26  34

Next we see in the middle we have 24, since there is four numbers on either side.

Answer:

x+27

Step-by-step explanation:

7(x+3)-3(2x-2)=

(distribute)

7x+21-6x+6=

(combine like terms)

x+27

Answer: 560

Step-by-step explanation:

547      

14 | 7658

   -7000

________

      658

    - 560

___________

         98

       - 98

__________

           0

hope that helps i hope it correct and helps :D

Answer:

Kylie has 6 Nickels and 18 dimes

Step-by-step explanation:

Variable definitions:

x=the number of nickels

y=the number of dimes

One nickel is worth $0.05, so x nickels are worth 0.05x. One dime is worth $0.10, so y dimes are worth 0.10y. The total 0.05x+0.10y equals $2.10:

0.05x + 0.10y = 2.10

Since she has a total of 24 coins, we know x+y must equal 24.

x + y = 24

Write System of Equations:

0.05x + 0.10y = 2.10

x + y =  24

Solve for y in each equation:

0.05x + 0.10y= 2.10         x + y = 24

0.10y = 0.05x + 2.10         y = -x + 24

0.10y = -0.05x + 2.10

0.10                0.10                

  y = -1/2x + 21

The x variable represents the number of nickels and the y variable represents the number of dimes. Since the lines intersect at the point (6,18) we can say:

Kylie has 6 Nickels and 18 dimes

We want to solve a system of equations to see how many nickels and dimes Kyle has. We will see that she has 6 nickels and 18 dimes.

First, let's define the variables, we will use:

We know that there are 24 coins, then:

x + y = 24

We know that the total whort of the coins is $2.10, then:

x*$0.05 + y*$0.10 = $2.10

Then the system of equations is:

x + y = 24

x*$0.05 + y*$0.10 = $2.10

Here we need to graph both equations and find where they do intercept, the graph of the system can be seen below:

We can see that the intersection is at the point (6, 18)

So this means that she has:

6 nickels and 18 dimes.

If you want to learn more about systems of equations, you can read:

https://brainly.com/question/13729904

Answer:

b is 0

Step-by-step explanation:

yes, i am here :)

Answer:

Equation: y = [tex]\frac{1}{2}x[/tex]

m = [tex]\frac{1}{2\\}[/tex]

b = 0

Type of Slope = Positive linear slope

We are here for you m8.