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3 years ago

“Apply the Pythagorean Theorem” ➡️Practice⬅️

Mathematics

1 answer:

Umnica [9.8K]3 years ago

3 0

To answer this problem using the Pyth. Thm., we must assume that the angle opposite the hypotenuse is a right angle. Otherwise the P. T. does not apply.

The length of the hypotenuse is √(5^2 + 5^2) cm, or √(25 + 25) = √50,

or 5√2 cm.

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3 times 2x minus 22 plus 2x equals 8x minus 4

Paladinen [302]

Answer:

x = -9

Step-by-step explanation:

6x-22+2x=8x-4

so first you want to add 4 to both sides so it becomes 6x-18=8x now substract 6x from both sides to get -18=2x now divide that by 2 and you get x= -9

4 0

3 years ago

Read 2 more answers

Doreen lives 3/5 mile from the library. Sheila lives 1/3 as far away from the library as Doreen. How far does Sheila live from t

tankabanditka [31]

Answer:

She lives 1/5 miles away from the library

Step-by-step explanation:

Here, we want to get the distance that Sheila

lives from the library

From the question, we are told she lives 1/3 as far as Doreen

So what we have to do in this case is to simply multiply the distances

we have this as:

1/3 * 3/5 = 1/5

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4 years ago

A $20,000 car depreciates at a rate of 20% per year. How much is the car worth in 5 years.

labwork [276]

20,025 I think because it’s says how much and how much means to add so that’s why I say 20,025

4 0

4 years ago

Consider a rectangle of length L inches and width W inches. Find a formula for the perimeter of the rectangle. Use upper case le

malfutka [58]

Answer:

a) P=2(L+W)

b) $\frac{dp}{dt}=2\frac{dL}{dt}+2\frac{dW}{dt}$

c)-2 inch/hour

Step-by-step explanation:

given:

length of the rectangle as L inches

width of the rectangle as W inches

a) The perimeter is defined as <u>the measure of the exterior boundaries</u>

therefore, for the rectangle the perimeter 'P' will be

P= length of AB+BC+CD+DA (A,B,C and D are marked on the figure attached)

Now from figure

P= L+W+L+W

=> P=2L+2W .....................(1)

b)now dp/dt can be found as by differentiating the equation (1)

$\frac{dP}{dt}=2(\frac{dL}{dt} )+2(\frac{dW}{dt} )$ .............(2)

c)Now it is given for the part c of the question that

L=40 inches

W=104 inches

dL/dt=2 inches/hour

dW/dt= -3 inches/hour (here the negative sign depicts the decrease in the dimension)

substituting the above values in the equation (2) we get

$\frac{dP}{dt}=2(2)+2(-3)$

$\frac{dP}{dt}=4-6=-2 inches/hour$

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3 years ago

This is so stressful, i’ve tried everything and I don’t get this at all.

yuradex [85]

N = 5

These are similar triangles so their sides are proportional. The scale factor is the smaller triangle to the large triangle is

5/12.5 = 4/10 = 2/5

So if AB corresponds to QR (2 corresponds to n) then n = 5

5 0

2 years ago