Help me solve -2+5n=4n+2

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.

The Pythagorean theorem 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

3 years ago

The second question with the blank please

konstantin123 [22]

Usually called "half of base times height", the area of a triangle is given by the formula below.Area=ba2whereb is the length of the base
a is the length of the corresponding altitude

You can choose any side to be the base. It need not be the one drawn at the bottom of the triangle. The altitude must be the one corresponding to the base you choose. The altitude is the line perpendicular to the selected base from the opposite vertex.

In the figure above, one side has been chosen as the base and its corresponding altitude is shown.

6 0

3 years ago

Read 2 more answers

Round 2.56×0.03 to the nearest hundredth

Arlecino [84]

2.56 times 0.03 is 0.0768 then round to hundredth is 0.08 i think

4 0

4 years ago

Anyone............I will give BRAINLIEST

posledela

Answer:

100 cm²

Step-by-step explanation:

Area of the larger circle:

A = π(2r)² = 4πr²

The shaded area:

π(2r)² - πr² = 75
3πr² = 75
πr² = 25

Area of the larger circle:

A = 4(25) = 100 cm²

6 0

3 years ago

What is the surface area of a right rectangular prism with the length of 10 inches width of 8 inches and a height of 1.5 inchess

Contact [7]

Answer: Option 3

Step-by-step explanation: Option (3) is correct.The surface area of a rectangular prism of given dimension is 170 square inches.Step-by-step explanation:Given : a rectangular prism whose base is 5 inches by 6 inches and whose height is 5 inches.We have to find the surface area of a rectangular prism of given dimension.Since a rectangular prism whose base is 5 inches by 6 inchesThat is length (l)= 5 inches Width (w) = 6 inches and height (h) = 5 inches.Also . Substitute, we have,simplify , we have,surface area of a rectangular prism = 170 inches²Thus, the surface area of a rectangular prism of given dimension is 170 square inches

8 0

3 years ago