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4 years ago

A 30-60-90 triangle with a hypotenuse of 6 . Find the length of all other sides

1 answer:

8 0

1. Find the "opposite side," if the angle is 60 degrees and the hyp is 6:

opp opp sqrt(3)
sin 60 deg = ------- = -------- = ----------
hyp 6 2

Cross-multiplying, 2(opp) = 6sqrt(3), so that opp = 3 sqrt(3) (answer)

2. Use the Pyth. Thm. to find the "adjacent side:"

[3sqrt(3)]^2 + x^2 = 6^2, or 9(3) + x^2 = 36, or x^2 = 9, or x = 3.

The lengths of the legs of this 30-60-90 triangle are 3 and 3 sqrt(3).

check: Does 3^2 + [3sqrt(3)]^2 = 6^2?
Does 9 + 9(3) = 6^2? YES

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Can a function be both even and odd? use algebra to find the answer.

Evgesh-ka [11]

Answer:

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Step-by-step explanation:

okay so lets try this then..

if f(x) is an even number...let say 2

then f(-2)= 2x²+x+6

then it would be 2(-2²)+(-2)+6......-4

https://www.symbolab.com/solver/step-by-step/F%5Cleft(x%5Cright)%3D-F%5Cleft(x%5Cright)

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3 years ago

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vaieri [72.5K]

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2 years ago

Read 2 more answers

What am I suppose to do here??

Alex777 [14]

Answer:

Step-by-step explanation:

Hey There!

To solve this problem we have to combine like terms

$7x^3-6x^3=x^3\\6x^2-8x^2=-2x^2\\-5x+10x=5x\\5-7=-2$

So our answer would be

$x^3-2x^2+5x-2$ (b)

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3 years ago

How do I solve a question like this? (-4)5-(-6)(-4)+40

ra1l [238]

Answer:

-4

Step-by-step explanation:

We are given the following expression which we are to solve:

$( - 4 ) 5 - ( - 6 ) ( - 4 ) + 4 0$

Since this expression includes brackets as well has plus and minus signs, so we will follow the standard order of operations to solve this expression.

Solving the brackets first to get:

$( - 2 0 ) - ( 2 4 ) + 4 0$

Now adding all the terms up to get:

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4 years ago

1. A rabbit can hop 6 feet in 2 seconds and 12 feet in 4 seconds. If the number of feet varies directly with the time the rabbit

kykrilka [37]

Answer: The rabbit is hopping at 3 feet/ sec in speed

Step-by-step explanation:

Step 1

Let the The number of feet of the rabbit be expressed as N

AND time rabbit spends hopping can be expressed as t

From the question, The number of feet varies directly with the time rabbit spends hopping can be expressed as

N α t

Let us introduce a constant of proportionality ,S which represents speed in this case, we now have that

N = St

STEP 2 -- SOLVING

If the rabbit hop 6 feet in 2 seconds, Then speed =

N = St

6= S X2

S = 6/ 2

S = 3

also

If the rabbit hop 12 feet in 4 seconds, Then speed =

N = St

12= S X 4

S = 12/ 4

S = 3

Also recall

that Speed = Distance / time

Pluging the values in the first case,

speed = 6 feet/ 2 secconds = 3 feet/ seconds

in the second case

Speed= 12 feet/ 4 second s= 3 feet/ secs.

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3 years ago