All categories

3 years ago

The variables x and y vary inversely If x=5 when y=12, then find the value of x when y=32

Mathematics

1 answer:

Vilka [71]3 years ago

4 0

Answer:

x=15/8

Step-by-step explanation:

Inverse variation is given by

xy = k

Substituting x=5 and y=12

5*12 = k

60 =k

Our original equation is xy = 60

Now let y=32

x*32 = 60

Divide each side by 32

32x/32 = 60/32

Divide top and bottom by 4

x = 15/8

You might be interested in

Whats 4 divided by 10

Mrac [35]

$\frac{4}{10} = \frac{2}{5} = 0.4$

6 0

2 years ago

Read 2 more answers

What is the fractional value of A?

Fofino [41]

Answer:

2/5 because there is 5 spots and A is the second one on the number line

8 0

2 years ago

Identify the percent, amount, and base in this problem.<br> What percent of 80 is 40?

STALIN [3.7K]

Answer:

Step-by-step explanation:

5 0

2 years ago

The figures below are made out of circles, semicircles, quarter circles, and a square. Find the area and the perimeter of each f

WITCHER [35]

Answer:

Part 1) $A=36(\pi-2)\ cm^2$

Part 2) $P=6(\pi+2\sqrt{2})\ cm$

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

Part 1) Find the area

we know that

The area of the shape is equal to the area of a quarter of circle minus the area of an isosceles right triangle

$A=\frac{1}{4}\pi r^{2}-\frac{1}{2}(b)(h)$

we have that the base and the height of triangle is equal to the radius of the circle

$r=12\ cm\\b=12\ cm\\h=12\ cm$

substitute

$A=\frac{1}{4}\pi (12)^{2}-\frac{1}{2}(12)(12)\\A=(36\pi-72)\ cm^2$

simplify

Factor 36

$A=36(\pi-2)\ cm^2$

Part 2) Find the perimeter

The perimeter of the figure is equal to the circumference of a quarter of circle plus the hypotenuse of the right triangle

The circumference of a quarter of circle is equal to

$C=\frac{1}{4}(2\pi r)=\frac{1}{2}\pi r$

substitute the given values

$C=\frac{1}{2}\pi (12)\\C=6\pi\ cm$

Applying the Pythagorean Theorem

The hypotenuse of right triangle is equal to

$AC=\sqrt{12^2+12^2}\\AC=\sqrt{288}\ cm$

simplify

$AC=12\sqrt{2}\ cm$

Find the perimeter

$P=(6\pi+12\sqrt{2})\ cm$

simplify

Factor 6

$P=6(\pi+2\sqrt{2})\ cm$

4 0

3 years ago

Sohan can do a piece of work in 10 days. He worked at it

Inessa05 [86]

Answer:

5 days

Step-by-step explanation:

Sohan can do the whole thing in 10 days

he worked 5 days so he did half

and Mohan did the other half in 5 days

so their speeds are same

so if they worked together they'd do it in half the time

i.e 5 days

6 0

2 years ago