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2 years ago

How to find the sides of a 30 60 90 triangle?

Mathematics

1 answer:

Sever21 [200]2 years ago

4 0

All you need to do is plug in the numbers and you'll get the sides.

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What is the quotient of -8x∧6 over 4x∧-3 ??

Allushta [10]

Answer:

$-2x^{9}$ is the quotient

Step-by-step explanation:

We have two expression $-8x^6$ and $4x^{-3}$

We need to find quotient of this expression using exponent law.

First we write as quotient form,

$\Rightarrow -\dfrac{8x^6}{4x^{-3}}$

$\Rightarrow -2x^{6-(-3)}$ $(x^m\div x^n=x^{m-n})$

$\Rightarrow -2x^{6+3}$

$\Rightarrow -2x^{9}$

Thus, $-2x^{9}$ is the quotient of $-8x^6$ and $4x^{-3}$ .

8 0

3 years ago

5. When looking at a map, a student realizes that Birmingham is nearly due west of Atlanta, and Nashville is nearly due north of

leonid [27]

Answer: 250 mi

Step-by-step explanation:

Here we can think in a triangle rectangle:

The distance from Birmingham to Atlanta is roughly 150 mi, and this is one of the cathetus.

And the distance from Birmingham to Nashville is roughly 200 mi, this is the other cathetus of the triangle.

Now, the distance from Atlanta to Nashville will be the hypotenuse of this triangle rectangle.

Now we can apply the Pythagorean's theorem:

A^2 + B^2 = H^2

Where A and B are the cathetus, and H is the hypotenuse:

Then:

H = √(A^2 + B^2)

H = √(150^2 + 200^2) mi = √(62,500) mi = 250 mi

Then the estimated distance from Atlanta to Nashville is 250 mi

6 0

3 years ago

A walkway forms one diagonal of a square playground. The walkway is 18 m long.

olga55 [171]

18m x 4 = 72m

Walkway = 72 meters.

6 0

3 years ago

Beverly drove from the Atlantic City to New York she drove 284 miles at a constant speed of 58 mph how long did it take Beverly

lubasha [3.4K]

Answer:

4.9 hours = 4 hours 54 minutes

Step-by-step explanation:

speed = distance/time

time * speed = distance

time = distance/speed

time = (284 miles)/(58 mph) = 4.9 hours

4.9 hours - 4 hours = 0.9 hours

0.9 hours * (60 minutes)/(1 hour) = 54 minutes

4.9 hours = 4 hours 54 minutes

8 0

3 years ago

A card is picked at random from a deck of cards, after putting it back another card is picked at random. Are these two events d

kvv77 [185]

Answer: Independent event

Step-by-step explanation:

When two events are independent of each other, this means that the probability that one event will occurs does not in any way affects the probability of the occurrence of the other event.

For example, card is picked at random from a deck of cards, and after putting it back,thne another card is picked at random. The probability of picking the cards is not affected by each other since it is put back.

6 0

3 years ago