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3 years ago

What’s the correct answer for this?

Mathematics

1 answer:

kkurt [141]3 years ago

3 0

Answer:

Step-by-step explanation:

If we rotate the 3-D figure around y-axis, we'll obtain a cylinder with a radius of 1 unit.

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Solve for the value of n

kotykmax [81]

Answer:

Step-by-step explanation:

Vertical angles are congruent, so 9n=8n+8. It follows that n=8.

4 0

1 year ago

Mr. pham cuts a cake into 8 equal slices. then, he cuts every slice in half. how many of the smaller slices does he have. use wo

Katen [24]

8 times 2 equals 16 so the answer would be 16

4 0

3 years ago

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

The sum of two consecutive odd numbers is 284

kiruha [24]

141 and 143 adds to 248

4 0

3 years ago

Help Please, Look at attachments

Anastasy [175]

Answer:

y=-4x+4

Step-by-step explanation:

The slope is Delta Y over Delta Y so the slope is -4. The Y intercept is at (0,4) sot the equations is y= - 4x +4

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2 years ago

Read 2 more answers