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3 years ago

13

5 of what percent is 3.5

2 answers:

UNO [17]3 years ago

7 0

If you take 3.5 and divide it by 0.05, or times 20, that would make it 70.

lesantik [10]3 years ago

3 0

100%/x%=3.5/5 (100/x)*x=(3.5/5)*x - we multiply both sides of the equation by x 100=0.7*x - we divide both sides of the equation by (0.7) to get x 100/0.7=x 142.85714285714=x x=142.85714285714 now we have: 5 is 142.85714285714% of 3.5

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mrs cindy had2/3 of a cake .she divided the cake equally among her 3 children. what fraction of the cake did each children get?

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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.

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nordsb [41]

Answer:

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3 years ago

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777dan777 [17]

Answer:

x = 7

Step-by-step explanation:

QY = 5x

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Thus:

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3 years ago