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2 years ago

Between which two consecutive integers does √53 lie?

1 answer:

8 0

Hey there :)

We can solve 2 ways: With a calculator and Without

With:
√53 = 7.28

Therefore this lies between 7 and 8

Without:
6² and 7² = 36 and 49
Still, the values are less than 53, which means √53 does not lie between 6 and 7

7² and 8² = 49 and 64
53 is between both values, therefore √53 lies between 7 and 8

Your answer will be option B) 7 and 8

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A triangle has sides of lengths 13, 21, and 24. is it a right triangle? explain

mel-nik [20]

<span>No, it doesn't. To find out if it's a right angled triangle, we use Pythagorean triple. It states that the square of the hypotenuse (the longest side) is equal to the sum of the squares of the opposite and adjacent sides. Obviously, the longest side, which is our hypotenuse is 24. So we want to find out whether the square of our hypotenuse is equal to the sum of the squares of the other two sides i. e 13 and 21. 24^ 2 = 576 ; 13^2 = 169 ; 21^2 = 441; So is 576 = 169 + 441. An emphatic No: hence the triangle isn't right angled since it doesn't satisfy pythagorean triple.. A^2 is not equal to B^2 + C^2 where a is the hypotenuse and b and c the opposite and adjacent sides.</span>

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2 years ago

Five more than three-fourths a number is -19

gogolik [260]

Answer:

5 + 3/4x = -19

Step-by-step explanation:

more than means adding

3 0

2 years ago

1/5+2/4=what help me please

Vikentia [17]

7/10 is your correct answer

6 0

3 years ago

Read 2 more answers

which option shows 18÷15 as a fraction or a mixed number? A. 2315 B. 1518 C. 11815 D. 1315

Marysya12 [62]

Answer:

It's B.) 1518

using fraction calculator**

As a positive improper fraction (numerator > denominator):

18/15 = 6/5

As a mixed number

(a whole number and a proper fraction, of the same sign):

18/15 = 1 1/5

As a decimal number:

18/15 = 1.2

As a percentage:

18/15 = 120%

Step-by-step explanation:

4 0

2 years ago

A boat's crew rowed 33kilometers downstream, with the current, in 3hours. The return trip upstream, against the current, co

algol [13]

Answer:

The crew rowing rate in still water = 7km/hr

The rate of the current = 4km/hr

Step-by-step explanation:

The distance rowed downstream with the current = 33km

Time taken to row downstream = 3hrs

The distance rowed upstream against the current = 33km

Time taken to row upstream = 11hrs

Let the crew's rowing rate in still water = Xkm/hr

Let the rate of current = Ykm/hr

For the downstream movement, we will have (X+Y). This is because the boat rowed with the current

For the upstream movement, we will have (X-Y). This is because the boat rowed against the current

Downstream Speed = distance /time

= 33/3

= 11km

Upstream speed = distance /time

= 33/11

= 3km

Hence X+Y = 11 and X-Y= 3

Add both equations. We have

X+Y+X-Y = 11 + 3

2X = 14

X= 14/2

X= 7

put X= 7 in any of the equations

7-Y= 3

Y= 7-3

Y= 4

Hence the crew rowing rate in still water = 7km/hr and the rate of the current = 4km/hr

6 0

2 years ago