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alexandr402 [8]

3 years ago

5

A class collects $218.43 for a field trip. If there are 27 students in the class, what is the average amount of money each stude

nt collected
Please hurry

1 answer:

Daniel [21]3 years ago

4 0

Answer:

$8.09

Step-by-step explanation:

To find the average you have to divide so 218.43/27 is 8.09

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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

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oksian1 [2.3K]

Answer:

2

Step-by-step explanation:

the biggest number they can both divide by is 2.

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nika2105 [10]

Answer:

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Step-by-step explanation:

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$180 - 87 - 49 = 44$

angle 2 is 49

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$180 - 49 - 68 = 63$

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3 years ago

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An investing group has $50,000 to invest. They put the money in an account that has an annual interest rate of 6%, compounded mo

natka813 [3]

Answer:

Use the formula for compound interest to determine the amount of money in each ... An investing group has $50,000 to invest. They put the money in an account that compounds interest ... How much money will the group have at the end of 10 years? 20. Interest is compounded quarterly at Money Bank at a rate of 5.5%.

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3 years ago

Solve:<br> 4 - 10x >-21<br> and aranh the

Luden [163]

Answer:

$x < \frac{5}{2}$

Step-by-step explanation:

$4 - 10x > -21$

$-10x > -25\\\\x > \frac{-25}{-10} \\\\x > \frac{5}{2}$

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