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4 years ago

Suma a doua numere este 98 iar diferenta lor este 82 aflati cele doua numere

Mathematics

1 answer:

Virty [35]4 years ago

5 0

Answer:

90 and 8

Step-by-step explanation:

The question is : the sum of two numbers is 98 and their difference is 82 find the two numbers

Let two numbers are x and y.

Sum of two numbers is 98

x+y = 98 ....(1)

The difference of two numbers is 82.

x-y=82....(2)

Adding equation (1) and (2) we get :

x+y+x-y=98+82

2x=180

x=90

Put the value of x in equation (1)

90+y = 98

y = 8

Hence, the two numbers are 90 and 8.

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Three water storage containers have the same volume in the shape of a cylinder, a cone, and a sphere. The base radius of the cyl

fredd [130]

Answer:

- The ratio of the height of the cone to the height of the cylinder is 3:1

- The ratio of the height of the cone to radius of the sphere is 4:1

Step-by-step explanation:

Note that the radii of all the structures are the same.

Let the height of the cone be H and the height of the cylinder be h

The volume of each of the shapes are given below as

Volume of cylinder = πr²h

Volume of a cone = (1/3)πr²H

Volume of a sphere = (4/3)πr³

1) The ratio of the height of the cone to the height of the cylinder

To obtain this, we equate the volume of those two structures

Volume of the cone = Volume of the cylinder

(1/3)πr²H = πr²h

πr² cancels out on both sides and we're left with

(H/3) = h

H = 3h

(H/h) = (3/1)

So, The ratio of the height of the cone to the height of the cylinder is 3:1

2) The ratio of the height of the cone to radius of the sphere

Similarly equating the volumes of the cone and the sphere

(1/3)πr²H = (4/3)πr³

(1/3)πr² cancels out on both sides and we're left with

H = 4r

(H/r) = (4/1)

The ratio of the height of the cone to radius of the sphere is 4:1

Hope this Helps!!!

8 0

4 years ago

Can someone please help me!

vladimir1956 [14]

Hello!

To find the circumference of a circle you do $2 \pi r$ where r is the radius of the circle

So we do 2 $\pi 72$

Then we substitute pi for 3.14

2 * 3.14 * 72 = 452.16 yds

Then we multiply this by 5 since he runs 5 laps

Which gives us the answer of 2260.8 yds

Hope this helps!

6 0

3 years ago

What is the following product? (5√2-4√3)(5√2-4√3)

Galina-37 [17]

Step-by-step explanation:

(5√2-4√3)(5√2-4√3)=

(5√2-4√3)^2=(5√2)^2+(4√3)^2-2(5√2)(4√3)

=25*2+16*3-10√2*4√3

=50+48-10√2*4√3

=98-10√2*4√3 is the answer

6 0

3 years ago

Help!!!!!!!!!!! please!!!!!!!!!

ohaa [14]

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Step-by-step explanation:

3 0

3 years ago

PLEASE HELP<br> Write the equation of the line that passes through the points (5,5) and (7,-5)

Mamont248 [21]

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7 0

3 years ago

Suma a doua numere este 98 iar diferenta lor este 82 aflati cele doua numere​

Suma a doua numere este 98 iar diferenta lor este 82 aflati cele doua numere