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Zielflug [23.3K]
3 years ago
12

!30 POINTS! How can I use this trapezoid to prove the Pythagorean Theorem?

Mathematics
1 answer:
Ivanshal [37]3 years ago
4 0

Answer:

a = a

b = b

c = c

Step-by-step explanation:

Formula: a^2+b^2=c^2

C is always the largest number

<em><u>a times a + b times b = c times c</u></em>

You might be interested in
The standard form of the equation of a circle is (x−5)2+(y−6)2=1.
Crank

Answer:

(A)x^2+y^2-10x-12y+60=0

Step-by-step explanation:

The standard form of the equation of a circle is given as:

(x-5)^2+(y-6)^2=1

Simplifying the above given equation, we get

x^2+25-10x+y^2+36-12y=1

x^2+y^2-10x-12y+36+25=1

x^2+y^2-10x-12y+61=1

x^2+y^2-10x-12y+60=0

which is the required general form of the equation.

Hence, option A is correct.

3 0
3 years ago
Select the correct answer
IgorLugansk [536]

Answer:

The mode would be 45.

Step-by-step explanation:

The mode is 45 because a mode is the most repeated number in a set.

8 0
3 years ago
Homogenized milk has a density of 1.032 kg/L and heavy cream has a density of 1.005 kg/L at 10°C. At 10°C, a container holding 8
Bumek [7]

Answer:

It's heavy cream

Step-by-step explanation:

Homogenized milk has a density of 1.032 kg/L and

heavy cream has a density of 1.005 kg/L at 10°C.

At 10°C, a container holding 8 liters of liquid weighs 8.04 kilograms

To determine which container hold homogenized milk or heavy cream and How I know?

We findo the density of the measurements given and whatever it correspond to is what it is

First mass is 8.04kg

Liquid contained is 8 litres

SInce the density is kg/L

No need for conversion

Density = mass/volume = 8.04/8= 1.005kg/L

Heavy cream has a density of 1.005 kg/L at 10°C.

Therefore it correspond

5 0
3 years ago
the radius of a circle is 10 centimeters. what is the area of a sector bounded by a 90° arc? give the exact answer in simplest f
Alex787 [66]
I hope this isn't too late! You can find the answer to this by first finding the area of the circle, A=πr². So since the radius is 10, we input that into the equation to get π100. Now, there is 360° in a circle and a sector of 90° is 1/4 of it. So to answer the question all you have to do is find 1/4 of the area of the circle. 

The answer is π25.

To solve the other questions on your assignment just think about how much the sector is of the full 360° of the circle, for example 180° is 1/2 of the circle or 270° is 3/4 of the circle, and multiply the fraction by the area of the circle.

Hope this helped, good luck! :)
6 0
3 years ago
Read 2 more answers
Write the explicit formula for the geometric sequence.<br><br> a1 = -5 a2 = 20 a3 = -80
Anni [7]
a_1 = -5;\ a_2 = 20;\ a_3 = -80 \\\\a_2:a_1=r\ and\ a_3:a_2=r\\\\r=20:(-5)=-4\ check\ r=-80:20=-4\\\\a_n=a_1r^{n-1}\to a_n=-5\cdot(-4)^{n-1}=-5\cdot(-4)^{-1}\cdot(-4)^n\\\\=-5\cdot\left(-\dfrac{1}{4}\right)\cdot(-4)^n=\dfrac{5}{4}\cdot(-4)^n\\\\Answer:\boxed{a_n=-5\cdot(-4)^{n-1}\ other\ a_n=\frac{5}{4}\cdot(-4)^n}
6 0
3 years ago
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