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lara31 [8.8K]
2 years ago
7

Straight forward questions I just don't know how to do them.

Mathematics
1 answer:
OLga [1]2 years ago
3 0
Answer:

_____________________________

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Please help, I will mark!!
Alik [6]

Answer:

d=28.28

Step-by-step explanation:

To calculate the lenght of the diagonal d across the square, we can assume that the square it is compound of two right triangles. So, we can resolve this exercise using The Pythagorean Theorem.

<em>The Pythagorean theorem</em> states that in every right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the respective lengths of the legs. It is the best-known proposition among those that have their own name in mathematics.

If in a right triangle there are legs of length a and b, and the measure of the hypotenuse is c, then the following relation is fulfilled:

a^{2} +b^{2} =c^{2} a is the height, b is the base, and c is  

the hypotenuse.

To obtain the value of the hypotenuse

c= \sqrt{a^{2} +b^{2} }

To find the value of the lenght of the diagonal d across the square, we have:

d=\sqrt{a^{2} +b^{2} } Where a = b = 20

Substituting the values

d=\sqrt{(20)^{2} +(20)^{2} }\\d=\sqrt{400+400} =\sqrt{800} \\d=28.284

Round the answer to 2 decimal places

d=28.28

6 0
2 years ago
Nancy and seven of her friends shared the $101.20 dinner bill equally. How much did each person pay?
Alik [6]
12.65. Divide 101.20 by 8
4 0
2 years ago
Write a function t(I) that determines the number of
forsale [732]

Using the table, we will see that the function is:

t(l) = 3*l

<h3>How to write the function?</h3>

Here we only have a table to work with, so we need to use that.

In the table, we can see the pairs:

  • t(1) = 3
  • t(2) = 6
  • t(3) = 9
  • t(4) = 12

So, in each new level, we just add 3 more toothpicks. Even more, we can see that the number of toothpicks is 3 times the value of l (the level) for all the cases in the table. So this is a linear function.

From that we can conclude that the function will be:

t(l) = 3*l

If you want to learn more about linear functions, you can read:

brainly.com/question/4025726

6 0
2 years ago
Someone please answer<br> 2.1 ( x + 5 ) = 7
tatuchka [14]
Since we have the 2.1 next to the parenthesis, we need to first distribute.

2.1 * x  &   2.1 * 5

2.1x + 10.5

Then we take that and add the equals seven to the problem to move onto the next step.

2.1x + 10.5 = 7

We must get the 2.1x alone, therefore subtracting the 10.5 as it will also be subtracted on the other side as well.

2.1x + 10.5 = 7
       - 10.5   -10.5

2.1x = -3.5

To get the x alone, we must divide both sides by 2.1, therefore removing the 2.1 from the x.

2.1x = -3.5
/2.1     /2.1

x = 1.66666666667

Hope this helped!

- Kat
5 0
3 years ago
Read 2 more answers
45÷3=15 is the same as___ ÷3 plus_____÷3=______
gregori [183]
36 divided by 3 plus 90 divided by 3 I think I hope this helps u
7 0
3 years ago
Read 2 more answers
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