How many multiples of 9 are there between 100 and 2,000?

Answers

Answer 1

Answer: first of all, find the first number more than 100 that can divided by 9, and it's 108 (we'll call it as 'a') then, find the number less than 2000 that can divided by 9, it's 1.998 (we'll call it as 'Un')

Un = a + (n-1).b
1998 = 108 + (n-1).9
1998 = 108 + 9n -9
1899 = 9n
211 = n

and the total is
Sn = n/2 (a+un)
s211 = 211/2 (108+1998)
= 222.183

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State if the three sies lengths form a right triangle ; 10 cm , 49.5 cm , 50.5 cm

Answers

Well, 10<49.5+50.5, 49.5<10+50.5 and 50.5<10+49.5
Because these conditions are obeyed, you have a triangle.
A right triangle requires that $50.5^2=10^2+49.5^2 \n 2550.25=100+2450.25$
which is true. So, the triangle has a right angle.

What is pie equal to?

Answers

π = 3.14
π = 3.141592653589793

Pi or π is equal to 3.14159265389......

Which solid has a volume that is 3 times the volume of a cone with the same base and height?a.cylinder
b.prism
c.pyramid eliminate
d.sphere?

Answers

Answer: (a) Cylinder

The formula for volume of a cone = 1/3 π r² h

The formula for volume of a cylinder = π r² h

The answer is A. Cylinder

Factorise : 16x^2 +72xy + 81y^2 -12x +27y

Answers

Hello!!

It will be the same since there is no common factor. You just need to arrange in order.

6x^2 + 72xy - 12x + 81y^2 + 27y

Good luck :)

Alexis has a piece of red paper that is 4 centimeters wide. Its length is twice its width. She glues a piece of blue paper on top of the red piece measuring 3 centimeters by 7 centimeters. How many square centimeters of red paper will be visible on top?

Answers

It is given:Alexis has a piece of red paper that is 4 centimeters wide. Its length is twice its width .If length is 4cm then width = 4x2= 8cm.

Area of red paper= length x width = 4x8=32 square cm.

Alexis glues a piece of blue paper on top of the red piece measuring 3 centimeters by 7 centimeters.

Area of blue paper= 3x7=21 square cm.

Area of red paper that will be visible on top =32-21= 11 square cm.

(4x8) - (3x7) will give you what is showing of the red paper

What do you notice about the y-coordinates before and after a horizontal stretch? A) The y-coordinates increase after a horizontal stretch. B) The y-coordinates decrease after a horizontal stretch. C) The y-coordinates remain the same after a horizontal stretch. D) The y-coordinates are not affected by a horizontal stretch.