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3 years ago

Is 15,36,39 a right triangle

Mathematics

1 answer:

NeTakaya3 years ago

7 0

Answer:

Yes, is a right triangle

Step-by-step explanation:

To know if you can build a right triangle with those sides we have to make the following equality

h² = l1² + l2²

The hypotenuse is always the longest side so it should be 39

we check the equality of the equation

39² = 15² + 36²

1521 = 225 + 1296

1521 = 1521

Equality was fulfilled so it is a right triangle

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Answer:

root

Step-by-step explanation:

A root is a number that makes an equation true

root make since in this sentce right

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3 years ago

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1.625 round to the nearest tenth?need help

padilas [110]

1.625 rounded to the nearest hundredth is 1.63

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Answer the question in the picture

nekit [7.7K]

Recall the angle sum identities:

$\sin(x+y)=\sin x\cos y+\cos x\sin y$

$\cos(x+y)=\cos x\cos y-\sin x\sin y$

Now,

$\tan(x+y)=\dfrac{\sin(x+y)}{\cos(x+y)}=\dfrac{\sin x\cos y+\cos x\sin y}{\cos x\cos y-\sin x\sin y}$

Divide through numerator and denominator by $\cos x\cos y$ to get

$\tan(x+y)=\dfrac{\tan x+\tan y}{1-\tan x\tan y}$

Next, we use the fact that $x,y$ lie in the first quadrant to determine that

$\sin x=\dfrac12\implies\cos x=\sqrt{1-\sin^2x}=\dfrac{\sqrt3}2$

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So we then have

$\tan x=\dfrac{\sin x}{\cos x}=\dfrac{\frac12}{\frac{\sqrt3}2}=\dfrac1{\sqrt3}$

$\tan y=\dfrac{\sin y}{\cos y}=\dfrac{\frac1{\sqrt2}}{\frac{\sqrt2}2}=1$

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3 years ago

Roadsign cast of shadow that is 4 feet tall at the same time a 6 foot man standing next to the sign cast a shadow of those 2.4 f

Tanzania [10]

Answer:

10 feets

Step-by-step explanation:

Given that:

Road sign shadow (Rs) = 4 feets

Height of man (Hm) = 6

Man shadow (Ms) = 2.4 feets

Height of road sign (Hr) = x

Height of road sign / shadow of road sign = height of man / shadow of man

Hr/Rs = Hm / Ms

x / 4 = 6 / 2.4

Cross multiply :

4*6 = 2.4*x

24 = 2.4x

x = 24 / 2.4

x = 10 feets

Hence, height of road sign = 10 feets

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3 years ago

Which best explains whether a triangle with side lengths 2 in., 5 in., and 4 in. is an acute triangle?

Talja [164]

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Answer:

The triangle is not acute because 2² + 4² < 5²

Step-by-step explanation:

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