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3 years ago

A roller coaster begins at ground level, rises 63 feet, then falls 71 feet. What is the

Mathematics

1 answer:

meriva3 years ago

3 0

Answer:

-8 feet

Step-by-step explanation:

63 - 71 = -8

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The given lengths are two sides of a right triangle. All three side lengths of the triangle are integers and together form a pyt

Leni [432]

If all three side lengths are INTEGERS and form PYTHAGOREAN TRIPLE then we know decimals are not allowed

if 24 and 51 are both legs then
$24^{2} + 51^{2} = x^{2}$
x = 3177
and squre root of that gives us 56.364.... NOT an integer

So that means one of them is not a leg and since hypotenuse is longer than both legs, 51 must be the hypotenuse so to get the third side

$51^{2} - 24^{2} = x^{2}[tex] [tex] x^{2}$ =2025
x=45, leg B

7 0

2 years ago

Help pleaseeeeeeeeeeeeeeeeeeeeeee

bixtya [17]

Answer: $\bold{(1)\ \dfrac{19,683}{64}\qquad (2)\ 16}$

Step-by-step explanation:

(1) (12, 18, 27, ...)

The common ratio is:

$r=\dfrac{a_{n+1}}{a_n}\quad r =\dfrac{18}{12}=\boxed{\dfrac{3}{2}}\quad \rightarrow \quad r=\dfrac{27}{18}=\boxed{\dfrac{3}{2}}$

The equation is:

$a_n=a_o(r)^{n-1}\\\\Given:a_o=12,\ r=\dfrac{3}{2}\\\\\\Equation:\\a_n =12\bigg(\dfrac{3}{2}\bigg)^{n-1}\\\\\\\\9th\ term:\\a_9=12\bigg(\dfrac{3}{2}\bigg)^{9-1}\\\\\\a_9=12\bigg(\dfrac{3}{2}\bigg)^{8}\\\\\\.\quad =\large\boxed{\dfrac{19643}{64}}$

$(2)\qquad \bigg(\dfrac{1}{16},\dfrac{1}{8},\dfrac{1}{4},\dfrac{1}{2}\bigg)\\\\\\\text{The common ratio is}:\\\\r=\dfrac{a_{n+1}}{a_n}\quad r=\dfrac{\frac{1}{8}}{\frac{1}{16}}=\boxed{2}\quad \rightarrow \quad r=\dfrac{\frac{1}{4}}{\frac{1}{8}}=\boxed{2}$

The equation is:

$a_n=a_o(r)^{n-1}\\\\Given:a_o=\dfrac{1}{16},\ r=2\\\\\\Equation:\\a_n =\dfrac{1}{16}(2)^{n-1}\\\\\\\\9th\ term:\\a_9=\dfrac{1}{16}(2)^{9-1}\\\\\\a_9=\dfrac{1}{16}(2)^{8}\\\\\\.\quad =\large\boxed{16}$

3 0

2 years ago

Eleanor and her little sister Joanna are responsible for two chores on their family’s farm, gathering eggs and collecting milk.

iris [78.8K]

Answer:

4 dozens

Step-by-step explanation:

Find Eleanor and Joanna's ratio of eggs to milk

Eleanor:

Dozen eggs : gallons of milk

9 : 3

3 : 1

Joanna:

Dozen eggs : gallons of milk

2 : 2

1 : 1

They gather one gallon of milk each which means Joanna has 1 dozen eggs and Eleanor has 3 dozens of eggs.

Total dozen of eggs = 3 + 1 = 4

Therefore, total dozen of eggs the family have per week is 4 dozens.

4 0

3 years ago

I need help on this question

kotegsom [21]

Answer:

My guess would probably be $370.

Explanation:

The reason I say that is because since 200 euros was 270 American dollars, why not try the same thing for 300 euros? If you do the process of elimination, it wouldn't be the $540. The same for the second one so, you have 2 remaining options left. The third or the fourth.

Hope that helps!!

3 0

2 years ago

Y+5=1/4(x-12) equals what plz i need help

marshall27 [118]

Slope: 0.500/2.000 = 0.250
x: 32/1 = 32.00000
y: -32/4 = -8

5 0

3 years ago