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4 years ago

How does this model demonstrate the Pythagorean Theorem?

1 answer:

3 0

" B is your best choice but it is very badly stated. this gives an Example of the Pythagorean theorem. it does Not demonstrate it. B is written incorrectly, it should say "sum of squares of the lengths of the legs" Not "sum of the lengths of the two legs of any right angle squared"

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What is the area of the triangle whose vertices are D( 3, 3), E(3, -1), and F(-2, -5)?

ycow [4]

Answer-

Area of the triangle is 10 sq.units

Solution-

We know that,

$\text{Area of the triangle}=\dfrac{1}{2}[{x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)]$

Taking,

(x₁, y₁) = (3, 3)

(x₂, y₂) = (3, -1)

(x₃, y₃) = (-2, -5)

Then putting these in the formula,

$\text{Area of the triangle}=\dfrac{1}{2}[3(-1+5)+3(-5-3)-2(3+1)]$

$=\dfrac{1}{2}[3(4)+3(-8)-2(4)]$

$=\dfrac{1}{2}[12-24-8]$

$=\dfrac{1}{2}[-20]$

$=-10$

As area can not be negative, ignoring negative sign,

$\text{Area of the triangle}=10$

6 0

3 years ago

A candle maker uses a mold to make candles like

Mashutka [201]

Answer: 340 cm3

Step-by-step explanation:

Hi, to answer this question we have to apply the next formulas:

Circumference = 2π radius

Replacing with the circumference value and solving for r:

31.416 =2π r

31.416 /2π =r

5cm =r

And then:

Volume of a cone = 1/3 x π x radius^2 x height

Replacing with the values given:

V = 1/3 π (5)^2 (13) = 340 cm3

Feel free to ask for more if needed or if you did not understand something.

4 0

4 years ago

You make 35$ from washing cars for 7 hours, how make do you make in 4 hours?

Elodia [21]

20 dollars
to get that answer you divide 35 and 7 after that you get 5 so you know its 5 dollars per hour so than you times 5 and 4 getting 20 dollars hoped i help

7 0

3 years ago

Julius needs to determine how much information needs to be given about an isosceles triangle to be able to draw an isosceles tri

Brrunno [24]

Answer:

Six cases are enough to construct more than one isosceles triangle

Step-by-step explanation:

An Isosceles triangle is a triangle in which at least two of it's sides are congruent.

If two of the three sides of a triangle are congruent, but the third side is of a different length, the triangle is isosceles.

If all three sides of the triangle are congruent, even though this is an equilateral triangle, it satisfies the condition of an isosceles, and it is ok to still it isosceles.

Julius might decide to split information for a better explanation, it doesn't matter the number of cases he has, but six cases should be enough to draw an isosceles triangle.

3 0

3 years ago

The water level in a plastic pool changed by -8 gallons each hour due to small hole in the bottom. After 6 hours, the pool conta

exis [7]

180. We can find this by multiplying 8 by the number of hours, 6, and then adding it to 132.

3 0

4 years ago

Read 2 more answers