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2 years ago

Find an equation of variation in which y varies jointly as x and z and inversely as the product of w and p,

1 answer:

8 0

The equation of variation in which y varies jointly as x and z and inversely as the product of w and p is y=0.5(xz/wp).

Given that variable y varies jointly as x and z and inversely as the product of w and p,where y=7/28 where x=7,z=4,w=7 and p=8.

We are required to find the equation of variation.

To solve this problem we must apply the following procedure:

1) We have that y varies jointly as x and z and inversely as the product of w and p. Therefore we can write the following equation,where k is the constant of proportionality:

y=k(xz/wp)----------1

Now we have to solve for the constant of proportionality as done under:

k=ywp/xz-------------2

Using the values in equation 1.

k=(7/28)(7)(8)/(7)(4)

=0.5

Using all the values in the equation 2.

y=0.5(xz/wp)

Hence the equation of variance is y=0.5(xz/wp).

Question is incomplete.The following values should be included:

y=7/28 where x=7,z=4,w=7 and p=8.

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A store charges 7% sales tax. Which expression can be used to find the total cost of an item with a price of p? 0.07p

Elan Coil [88]

Answer:

a. o.o7p

Step-by-step explanation:

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3 years ago

Find the area of the kite. 13 12 8 主 A= lin²

rewona [7]

Answer:

100㏑²

Step-by-step explanation;

first of all you find the base using the pythagoras theorem

that is, √13² - 12² =√25 = 5

so 5 is the base of the right angle in the big isoceles triangle

so the base of the isoceles triangle is 10 [5 + 5]

so for the first triangle the area is 60㏑²

the second triangle is 40㏑²

therefore 60 + 40 = 100㏑²

8 0

3 years ago

AM is a median in △ABC (M∈ BC ). A line drawn through point M intersects AB at its midpoint P. Find areas of △APC and △PMC, if A

Snowcat [4.5K]

Answer:

The area of APC is 70m². The area of triangle PMC is 35m².

Step-by-step explanation:

Let the area of triangle ABC be x.

It is given that AM is median, it means AM divides the area of triangle in two equal parts.

$\text{Area of }\triangle ACM=\text{Area of }\triangle ABM=\frac{x}{2}$ .....(1)

The point P is the midpoint of AB, therefore the area of APC and BPC are equal.

$\text{Area of }\triangle APC=\text{Area of }\triangle BPC=\frac{x}{2}$ ......(2)

The point P is midpoint of AB therefore the line PM divide the area of triangle ABM in two equal parts. The area of triangle APM and BPM are equal.

$\text{Area of }\triangle APM=\text{Area of }\triangle BPM=\frac{x}{4}$ .....(3)

The area of triangle APM is 35m².

$\text{Area of }\triangle APM=\frac{x}{4}$

$35=\frac{x}{4}$

$x=140$

Therefore the area of triangle ABC is 140m².

Using equation (2).

$\text{Area of }\triangle APC=\frac{x}{2}$

$\text{Area of }\triangle APC=\frac{140}{2}$

$\text{Area of }\triangle APC=70$

Therefore the area of triangle APC is 70m².

Using equation (3), we can say that the area of triangle BPM is 35m² and by using equation (2), we can say that the area of triangle BPC is 70m².

$\triangle BPC=\triangle BPM+\triangle PMC$

$70=35+\triangle PMC$

$35=\triangle PMC$

Therefore the area of triangle PMC is 35m².

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4 years ago

If Hillary spent a total of 4 hours and 35 minutes studying for her Final, how much time, in minutes, did Claudio spend studying

Maru [420]

Hillary spent a total of 275 minutes studying for his Final.

What is unit conversion ?

When a unit conversion is performed, the same property is expressed in a different unit of measurement.

Here it is given that :

Hillary spent a total of 4 hours and 35 minutes studying for her Final

We known that :

1 hours equals 60 minutes

then,

4 hours and 35 minutes will be equals to = 4x60 + 35

= 240 + 35

= 275 minutes

Therefore, Hillary spent a total of 275 minutes studying for his Final.

Learn more on conversion of units here;

brainly.com/question/340715

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6 0

1 year ago

Simplify (7ab)squared 0 A) 7 B) 1 C) 7ab D)0

PolarNik [594]

Answer:

The answer to this is B.

Step-by-step explanation:

Anytime a number/variable is squared by a 0, it always equals a 1.

Hope this Helped!!!

~Shane

4 0

4 years ago

Read 2 more answers