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4 years ago

From their location in the diagram, what are two possible values for m and n?

Mathematics

1 answer:

Rainbow [258]4 years ago

3 0

Answer:

m =6/2, n = π/2

m = 6/5, n =√2

Step-by-step explanation:

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Is this perpendicular or parallel or neither y = -4/5x+3 And 4x -5y=-15

aleksley [76]

This would be perpendicular

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3 years ago

How many times does 33 go into 112?

Vadim26 [7]

Answer:

3.3939

rounded off = 3

33 goes in 112 3 times

6 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

4 years ago

Read 2 more answers

Are 5/10 and 1/6 equivalent ratios

stealth61 [152]

No because 5/10 is half but 1/6 is not

5 0

4 years ago

1 point

valentina_108 [34]

Answer:

Step-by-step explanation:

7 0

4 years ago