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Sliva [168]
3 years ago
7

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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Your car gets about 20 miles per gallon. You are planning to drive to
igor_vitrenko [27]

Answer:

42.5 or 43

Step-by-step explanation:

Since you need to travel 850 miles, and you can travel 20 miles per gallon, you should divide 850 by 20 to get the number of gas cans needed. In doing so, you get 42.5 gas cans, but since it may be asking for whole cans rather than part of a gas can, you might want to write 43 instead. If you were to round down to 42, you would not have enough gas to finish the trip, so you should round up to 43. So, it is up to you if you want to write 42.5 or 43.

Hope this helped somewhat! ;(

5 0
2 years ago
Use the distributive property to solve the equation 28 - (3x + 4) = 2(x + 6) + 5
Shalnov [3]
1.) 28-3x-4= 2x+12+x
2.) 24-3x= 3x+12
3.)24-6x=12
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7 0
2 years ago
Rachel has a bag of marbles. She added 6 marbles to the bag but then took out 8 marbles. The bag now has 14 marbles. How many ma
Anna35 [415]

Answer:

to my knowledge of this it is 28

Step-by-step explanation:

because just pay attention to the math in it she ended up with 14 in the end so add 14 and the 6 she added in the beginning and then you get 20 so then you add the 20 marbles and the 8 marbles she took out so you end up with 28 total marbles i hope this helps

6 0
2 years ago
From a top of a building 20 m high if the angle of elevation top of a vertical pole is 30 degree.and the angle of depression of
Delvig [45]

Answer:

The height of the pole is 26.64 metres.

Step-by-step explanation:

Please kindly see the attached for explanation

7 0
3 years ago
 A farmer recently sold a large plot of land. The sale decreased his total acreage by 8​%. Let t be the original acreage. Find t
vlada-n [284]

Answer:

<u>D. 0.92t, is indeed a correct answer, but probably B or E are not correctly written. The second correct way is t - 0.08t.</u>

Step-by-step explanation:

If the farmer recently sold 8​% of the original acreage of his plot and t is the original acreage, therefore:

8% = 0.08

Thence, the expressions to describe two ways to find the new acreage are:

t - 0.08t

t - 0.08t = 0.92t

<u>D. 0.92t, is indeed a correct answer, but probably B or E are not correctly written. The second correct way is t - 0.08t.</u>

5 0
2 years ago
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