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2 years ago

How much sevens does it take to make 32?

Mathematics

1 answer:

Ksju [112]2 years ago

3 0

Divide 7 by 32 and go from there

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Is all negative numbers intergers ?

kobusy [5.1K]

Answer:

Yes. Intergers are all whole numbers so negative whole numbers are included too.

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Find an equation of the sphere that passes through the origin and whose center is (-2, 2, 3). Be sure that your formula is monic

Andrei [34K]

Answer:

$\bold{(x+2))^2+(y-2)^2+(z-2)^2=17}$

Step-by-step explanation:

Given the center of sphere is: (-2, 2, 3)

Passes through the origin i.e. (0, 0, 0)

To find:

The equation of the sphere ?

Solution:

First of all, let us have a look at the equation of a sphere:

$(x-a)^2+(y-b)^2+(z-c)^2=r^2$

Where ( $x,y,z$ ) are the points on sphere.

$(a, b, c)$ is the center of the sphere and

$r$ is the radius of the sphere.

Radius of the sphere is nothing but the distance between any point on the sphere and the center.

We are given both the points, so we can use distance formula to find the radius of the given sphere:

$D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}$

Here,

$x_1 =0 \\y_1 =0 \\z_1 =0 \\x_2 =-2 \\y_2 =2 \\z_2 =3$

So, Radius is:

$r = \sqrt{(-2-0)^2+(2-0)^2+(3-0)^2}\\\Rightarrow r = \sqrt{4+4+9} = \sqrt{17}$

Therefore the equation of the sphere is:

$(x-(-2))^2+(y-2)^2+(z-2)^2=(\sqrt{17})^2\\\bold{(x+2))^2+(y-2)^2+(z-2)^2=17}$

4 0

3 years ago

What is a quadrilateral with four congruent sides

Verdich [7]

That's a <em>rhombus</em>. If it has one interior right angle, then
it's a special case of rhombus known as a "square".

6 0

2 years ago

another rectangle has length and width in the ratio of 3:2. If the length is increased by eight and the width is increased by 50

Andreyy89

Answer:

Area of the new rectangle = 148.8 cm square

Step-by-step explanation:

Let x be the dimensions of the rectangle then the

Perimeter of the Original rectangle= 2(L+B)

= 2 ( 3x+2x) = 2(5x)= 10xcm

If the length is increased by eight the new length would be 3x+ 8

and width would be 2x+x= 3x after 50 % increase

Perimeter of the new rectangle= 2(L+B)

= 2 ( 3x+8 +3x)

= 2 (6x+8)

= 12x + 16

Ratio of the new perimeter to the original perimeter is

New perimeter : Original perimeter

8 : 5

12x+ 16 : 10x cm

80x= 60x + 16

20x= 16

x= 16/20= 4/5

Putting the value of length and breadth in place of x

Area of the new rectangle = L*B = 3 * (4/5) +8 *3(4/5)=

= 12+ 40/5 * 12/5

= 62/5* 12/5

= 744/5

= 148.8 cm square

8 0

3 years ago

47.2 is what percent of 118

earnstyle [38]

Answer:

you multiply both sides of the equation by x

you divide both sides of the equation by (2.5) to get x

47.2 is 40% of 118

Step-by-step explanation:

5 0

3 years ago