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3 years ago

I have another Brainliest

Mathematics

1 answer:

Lynna [10]3 years ago

5 0

Answer:

5 times
$22.75

Step-by-step explanation:

1. Let n represent the number of times you can ride. To keep the cost within your budget, you must have ...

2.75n ≤ 15.00

n ≤ 5.45

You can ride 5 times. You don't have enough money to ride 6 times.

2. You can choose the correct answer using estimation of the costs. (You only need to work out the numbers in detail if an estimate doesn't get you close enough.)

3 all-day passes are a little more than $20 each, so cost a little more than $60.

2 rides on the Mountain Coaster are another $9, so your total cost will exceed $69. That means you will get less than $31 in change from $100. The only answer choice in that range is $22.75.

If you add up the costs of the passes and rides, you find they come to $77.25, so your change from $100 will be $22.75.

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In a right triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD= 2 cm.

konstantin123 [22]

Consider right triangle ΔABC with legs AC and BC and hypotenuse AB. Draw the altitude CD.

1. Theorem: The length of each leg of a right triangle is the geometric mean of the length of the hypotenuse and the length of the segment of the hypotenuse adjacent to that leg.

According to this theorem,

$BC^2=BD\cdot AB.$

Let BC=x cm, then AD=BC=x cm and BD=AB-AD=3-x cm. Then

$x^2=(3-x)\cdot 3,\\ \\x^2=9-3x,\\ \\x^2+3x-9=0,\\ \\D=3^2-4\cdot (-9)=9+36=45,\\ \\\sqrt{D}=\sqrt{45}=3\sqrt{5},\\ \\x_1=\dfrac{-3-3\sqrt{5} }{2}0.$

Take positive value x. You get

$AD=BC=\dfrac{-3+3\sqrt{5} }{2}\ cm.$

2. According to the previous theorem,

$AC^2=AD\cdot AB.$

Then

$AC^2=\dfrac{-3+3\sqrt{5} }{2}\cdot 3=\dfrac{-9+9\sqrt{5} }{2},\\ \\AC=\sqrt{\dfrac{-9+9\sqrt{5} }{2}}\ cm.$

Answer: $AC=\sqrt{\dfrac{-9+9\sqrt{5} }{2}}\ cm.$

This solution doesn't need CD=2 cm. Note that if AB=3cm and CD=2cm, then

$CD^2=AD\cdot DB,\\ \\2^2=AD\cdot (3-AD),\\ \\AD^2-3AD+4=0,\\ \\D$

This means that you cannot find solutions of this equation. Then CD≠2 cm.

8 0

3 years ago

Read 2 more answers

River C is 400 miles longer than River D. If the sum of their lengths is 5 comma 520 miles, what is the length of each river?

Viefleur [7K]

If the sum of their lengths is 5,520 miles then River D is 2360 and River C is 3160

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Divine the total number of the entire chart by the number of a single line or bar to give you the ratio in a bar or line chart. For example, if a bar or line represented 5 in a chart with a total of 30, you would divide 30 by 5. This would give you a result of 6. Therefore, the ratio would be 6:1.

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3 years ago

Help me please, brainliested :)

JulijaS [17]

Answer:

y=-1/3x-3

Step-by-step explanation:

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2 years ago

TOP OF THE MORNIN TO THE PEOPLE THAT CAN ANSWER THIS!!!!

Dvinal [7]

surface area=4πr2=2700 cm2
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3 years ago