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3 years ago

If two sides of a right angled triangle are 5cm and 6cm long, how many possibilities are there for the length of the third side?

Mathematics

1 answer:

Alborosie3 years ago

8 0

Answer:

The other side is either 7.81 cm or 3.32 cm.

Step-by-step explanation:

The two sides of a right triangle are 5 cm and 6 cm.

There are three different ways this can happen.

1. 5 cm and 6 cm are the two legs of the 90° angle and hence, the hypotenuse is the third side.

Now, applying Pythagoras Theorem,

Hypotenuse = $\sqrt{6^{2} + 5^{2}} = 7.81$ cm.

2. Then one leg of the right angle is 6 cm and 5 cm is the hypotenuse.

But as 5 < 6, so, this is not possible as the length of the hypotenuse is more than the lengths of the legs.

3. 6 cm is the length of the hypotenuse and one leg is 5 cm.

The applying the Pythagoras Theorem, the length of the other leg will be given by $\sqrt{6^{2} - 5^{2}} = 3.32$ cm. (Answer)

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Select the correct answer. For what value of x is sin x = cos 19º, where 0°< x < 90°? OA. 38° ° O B. 71° OC. 26° O D. 19°

Lerok [7]

Answer:

x = 71°

Option B is correct answer.

Step-by-step explanation:

We need to find for what value of x is $sin\: x = cos 19^{\circ}$ , where 0°< x < 90°?

Solving:

$sin\: x = cos\: 19^{\circ}\\Finding \:cos\: 19^{\circ}=0.94551\\Putting\:value:\\sin\:x=0.94551\\Now\:taking\:sin\:inverse\\x=sin^{-1}(0.94551)\\x=71^{\circ}$

So, we get x = 71°

Option B is correct answer.

5 0

2 years ago

A body travels 10 meters during the first 5 seconds of its travel, and it travels a total of 30 meters over the first 10 seconds

meriva

The answer is 4 m/s.

In the first 5 seconds, a body travelled 10 meters. In the first 10 seconds of the travel, the body travelled a total of 30 meters, which means that in the last 5 seconds, it travelled 20 meters (30m + 10m).
The relation of speed (v), distance (d), and time (t) can be expressed as:
v = d/t

We need to calculate the speed of the second 5 seconds of the travel:
d = 20 m (total 30 meters - first 10 meters)
t = 5 s (time from t = 5 seconds to t = 10 seconds)

Thus:
v = 20m / 5s = 4 m/s

5 0

3 years ago

Read 2 more answers

The Rusty Metal Roller Coaster at the fair charges $2.50 for children and $4 for adults. Before the safety inspector shuts down

sergij07 [2.7K]

Answer:

B, 110

Step-by-step explanation:

Work Backwards!

1.- 260 - 110 = 150 children

2.- 150 X $2.50 (rate of children) = $375

3.- $815 - $375 = $440

4.- $440/$4 (rate of adults) = 110 Adults

7 0

3 years ago

Your friend just purchased a new sports car for $32,000. He received $6,000 for his trade in and he used that money as a down pa

V125BC [204]

Hi there

the installment price of the loan is

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5 0

3 years ago

Read 2 more answers

I need help on my warm up!! pls thx!

xxMikexx [17]

Step-by-step explanation:

$\tt{30.16 = 17.56 + 5x}$

Swap the sides of the equation :

⤑ $\tt{17.56 + 5x = 30.16}$

We want to remove the 17.56 first.

Since the original equation is 17.56 , we are going to use the opposite operation and subtract 17.56 from both sides :

⤑ $\tt{5x + 17.56 - 17.56 = 30.16 - 17.56}$

Simplify. 17.56 - 17.56 = 0 on the left. 30.16 - 17.36 = 12.6 on the right.

⤑ $\tt{5x = 12.6}$

Then, we need to think about how to remove the coefficient 5. Since the opposite of multiplication is division , I am going to divide both sides by 5.

⤑ $\tt{ \frac{5x}{5} = \frac{12.6}{5}}$

Simplify. 5/5 = 1 on the left and 12.6/5 = 2.52 on the right. So, Our answer is x = 2.52.

$\pink{ \boxed{ \boxed { \tt{Our \: final \: answer : \underline{ \underline{ \bold{ \tt{x = 2.52}}}}}}}}$

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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7 0

3 years ago