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3 years ago

Whats 3/z = 2/5. Please HELP!! Due in 20 minutes!!!

Mathematics

2 answers:

Zielflug [23.3K]3 years ago

6 0

Answer:

z = 7.5

Step-by-step explanation:

3/z = 2/5

then:

3*5 = 2z

15 = 2z

15/2 = z

z = 7.5

Check:

3/7.5 = 2/5

attashe74 [19]3 years ago

3 0

Step-by-step explanation:

Hey there!!

Given,

$\frac{3}{z} = \frac{2}{5}$

Cross multiply.

15 = 2z

Therefore, z= 15/2

Hope it helps..

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a line with slope 3 passes through point (0,10). What is the y-coordinate of the point on the line with x-coordinate 2

skad [1K]

The y-coordinate is 16

<h3>Solution:</h3>

Given that a line with slope 3 passes through point (0, 10)

To find the y-coordinate of the point on the line with x-coordinate 2

Which means the point is (2, y)

Let us find the required y co-ordinate using slope formula

The slope of line is given as:

For a line containing points $(x_1 , y_1)$ and $(x_2 , y_2)$ is given as:

$\text {slope}=m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$\text {Here } x_{1}=0 ; y_{1}=10 ; x_{2}=2 ; y_{2}=y$

Given that slope "m" = 3

Substituting the values we get,

$\begin{array}{l}{3=\frac{y-10}{2-0}} \\\\ {3=\frac{y-10}{2}} \\\\ {6=y-10} \\\\ {y=10+6=16}\end{array}$

Thus the y-coordinate is 16

8 0

3 years ago

The circumference of Circle K is pi. The circumference of Circle L is 4xpi.

dmitriy555 [2]

Answer:

Ratio of circumferences: $\displaystyle\frac{1}{4}$

Ratio of radii: $\displaystyle\frac{1}{4}$

Ratio of areas: $\displaystyle\frac{1}{16}$

Step-by-step explanation:

Hi there!

We are given:

- The circumference of Circle K is $\pi$

- The circumference of Circle L is $4\pi$

Therefore, the ratio of their circumferences would be:

$\displaystyle\frac{\pi}{4\pi}$ ⇒ $\displaystyle\frac{1}{4}$ when simplified

The formula for circumference is $C=2\pi r$ , where r is the radius. To find the ratio of the circles' radii, we must identify their radii through their given circumferences.

If the circumference of Circle K is $\pi$ , or $1\pi$ , then its radius is $\displaystyle\frac{1}{2}$ .

If the circumference of Circle L is $4\pi$ , then its radius is $\displaystyle\frac{4}{2}$ , which is 2.

Therefore the ratio their radii would be:

$\displaystyle\frac{\frac{1}{2}}{{2}}$ ⇒ $\displaystyle\frac{1}{2}*\frac{1}{2}$ ⇒ $\displaystyle\frac{1}{4}$ when simplified

The formula for area is:

$A=\pi r^2$

First, let's find the area of Circle K:

$A=\pi (\displaystyle\frac{1}{2})^2\\\\A=\displaystyle\frac{1}{4}\pi$

Now, let's find the area of Circle L:

$A=\pi (2)^2\\A = 4\pi$

Therefore, the ratio of their areas would be:

$\displaystyle\frac{\frac{1}{4}\pi}{4\pi}$ ⇒ $\displaystyle\frac{\frac{1}{4}}{4}$ ⇒ $\displaystyle\frac{1}{4} * \frac{1}{4}$ ⇒ $\displaystyle\frac{1}{16}$ when simplified

I hope this helps!

5 0

2 years ago

Which one of the following formulas defines the area, A A , of a square in terms of its perimeter, p ?

pav-90 [236]

A square has 4 sides of equa length

the perimiter is 4 times the side, or P=4s where s=length of 1 side

the area is length times witdth, but since the length=width, area=s² where s is the length of one side

so express A=s² in terms of P when P=4s

solve for s first in P=4s
P=4s
divide both sides by 4
$\frac{P}{4}=s$

subsitute $\frac{P}{4}$ for s in the other eqaution
$A=s^2$
$A=(\frac{P}{4})^2$
$A=\frac{P^2}{16}$

in terms of the perimiter, the area is $A=\frac{P^2}{16}$

6 0

3 years ago

Select the correct answer. A triangle has vertices (-1, 2), (3, 1), and (7, 2). What is the approximate perimeter of th...

Eva8 [605]

Answer:

16.24 Units

Step-by-step explanation:

The perimeter of the triangle is the sum of the length of the sides of the triangle. Given the points on the vertices, the length of each side may be found using the formula

Length = √(x2 - x1)^2 + (y2 - y1)^2

Considering the pair (-1, 2), (3, 1), the length of that side

= √(3 -- 1)^2 + (1-2)^2)

= √(16 + 1)

= √17 units

Considering the pair (-1, 2), (7, 2), the length of that side

= √(7 -- 1)^2 + (2-2)^2)

= √(64)

= 8

Considering the pair (3, 1), and (7, 2), the length of that side

= √(7 - 3)^2 + (2 - 1)^2

= √(16 + 1)

= √17

Hence the perimeter of the triangle

= √17 + 8 + √17

= 4.12 + 8 + 4.12

= 16.24 Units

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3 years ago

The sum of 2 numbers is 48and there difference is 24 what are the numbers

andreyandreev [35.5K]

The two numbers would be 36 and 12
36 + 12 = 48
36 - 12 = 48

8 0

3 years ago