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elena-s [515]
3 years ago
9

The diagonal of a square measured 10 cm. Find the length of a side of the square to the nearest tenth.

Mathematics
1 answer:
Naddika [18.5K]3 years ago
6 0

Answer:

  7.1 cm

Step-by-step explanation:

Let s represent the side length of the square. The Pythagorean theorem tells you the relationship to the diagonal length is ...

  (10 cm)² = s² +s² . . . . the sum of the squares of the legs is the square of the hypotenuse

  100 cm² = 2s² . . . . . . simplify

  50 cm² = s² . . . . . . . . divide by 2

  √(50) cm = s ≈ 7.1 cm . . . . . take the square root

The length of a side of the square to the nearest tenth is 7.1 cm.

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Answer:

99m

Step-by-step explanation:

multiply the two numbers

3 0
3 years ago
The value of the function y= (3/5)t decrease by what percentage of t increases by 1 unit
kirza4 [7]

Answer:

Percent of decrease in the value is 40%.

Step-by-step explanation:

Let's find the value of y when t=1 and t=2 because need to find the decrease by percent of t increases by 1 unit.

When t=1

y=\frac{3}{5}^{1}=0.6

When t=2

y=\frac{3}{5} ^{2} =0.36

Percent of decrease = 100 % -\frac{0.36}{0.6}*100%% = 100% -60% =40%

7 0
3 years ago
Can you answer these please? Show all work
Ganezh [65]

Answer:

i)  Sally' s grocery bill = c - \frac{5}{100}c = 0.95c

   Therefore the correct option is B.)

ii)   Therefore the expression which represents the expected population  

    next year is given by :

    = p + \dfrac{7.5}{100} p   =   1.075p

Therefore the correct option is B.)

Step-by-step explanation:

Sally has a discount card that reduces the price of her grocery bill in a certain grocery store by 5%.

Let c represent the cost of Sally's groceries.

therefore the expression which represents Sally's grocery bill is given by :

Sally' s grocery bill = c - \frac{5}{100}c = 0.95c

Therefore the correct option is B.)

The population of a city is expected to increase by 7.5% next year If p represents the current population, which expression represents the expected population next year?

Let p = current population of a city.

Therefore the expression which represents the expected population next year is given by :

  = p + \dfrac{7.5}{100} p = 1.075p

Therefore the correct option is B.)

8 0
3 years ago
A shopping container has a volume of 2,800 cubic inches. which could be the dimensions of the container? WILL GET BRAINLIEST​
oee [108]

Missing part of the question

- 10 in, by 12 in. by 24 in.

- 12 in. by 15 in. by 18-in.

- 10 in. by 16 in. by 20 in.

- 12 in. by 12 in. by 20 in.

Answer:

The possible dimensions of the container are

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I hope i helped you. have a wonderful day!

3 0
3 years ago
Read the problem.
Brut [27]

Answer:

I think that Sarah sent 70 percent of the text messages , so you have to shade 70 of them .

4 0
3 years ago
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