(HELP NEEDED!!!!) Which expression is equivalent to (6x3+3x2+8)+(2x2−9x+10)?

Use the drop-down menus to complete the statements about Euler's life after he lost his sight. After the cataract took Euler's s

mote1985 [20]

About 450 books and articles Euler completed after he lost his sight entirely.

<h3>Who was Leonhard Euler?</h3>

Leonhard Euler was a mathematician from Switzerland. He introduced the fundamentals of graph theory and topology.

His main field of work includes number theory, mechanics, fluid mechanics, and many more.

The life span of Euler was between 1707 and 1783. In the last few years of his life, he lost the eye sight. But the eye sight loss doesn't affect him from doing his work. In his lifespan, he published around 886 books and articles on various fields or science, mathematics and engineering.

After the total blindness, he published more than 450 books and articles.

For more details about Euler, refer to the link:

brainly.com/question/573685

8 0

2 years ago

A square and an equilateral triangle have equal perimeters. the area of the triangle is

Ivenika [448]

a - length of side of a square

t - length of side of a triangle

The perimeter of a square: $P_S=4a$

The perimeter of a triangle: $P_T=3t$

We have the area of a triangle: $A_T=16\sqrt3\ cm^2$

The formula of an area of an equilateral trinagle: $A_T=\dfrac{t^2\sqrt3}{4}$

Substitute:

$\dfrac{t^2\sqrt3}{4}=16\sqrt3$ <em>multiply both sides by 4</em>

$t^2\sqrt3=64\sqrt3$ <em>divide both sides by $\sqrt3$ </em>

$t^2=64\to t=\sqrt{64}\to t=8\ cm$

The perimeter of a triangle: $P_T=3(8)=24\ cm$

Substitute to the formula of a perimeter of a square:

$4a=24$ <em>divide both sides by 4</em>

$a=6\ cm$

The formula of a diagonal of a square: $d=a\sqrt2$

Substitute:

$d=6\sqrt2\ cm$

3 0

3 years ago

Help asap!!!!!

svetlana [45]

Answer:

12.5

30

68.5

Step-by-step explanation:

7 0

2 years ago

Solve the inequality. 18 > 12 + x

aleksley [76]

6>x take 12 from both sides

5 0

3 years ago

If A(1,2), B(5,-4) and (-3,2) are the vertices of a triangle, which statement holds true?

Zigmanuir [339]

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The correct option is A.

<h3>What is a triangle?</h3>

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

The length of different sides are:

$AB = \sqrt{(5-1)^2+(-4-2)^2} = \sqrt{16+36} = \sqrt{52}\rm\ units$