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3 years ago

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

Mathematics

1 answer:

RideAnS [48]3 years ago

4 0

Answer:

The area of the triangle with the given vertices is 10 square units

Step-by-step explanation:

x y

D 3 3

E 3 -1

F -2 -5

D 3 3

Area: A=Abs [(xd ye + xe yf + xf yd) - (yd xe + ye xf + yf xd)] /2

Absolute value: Abs

A = Abs { [(3)(-1)+(3)(-5)+(-2)(3)] - [(3)(3)+(-1)(-2)+(-5)(3)] } / 2

A = Abs [ (-3-15-6)-(9+2-15) ] / 2

A = Abs [ (-24)-(-4) ] / 2

A = Abs ( -24+4) / 2

A = Abs (-20) / 2

A = 20 / 2

A = 10 square units

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Three boxes contain 50 parts each. one part in each box is defective. one part is selected at random from each of the three boxe

Zanzabum

A. ) The probability of all 3 parts are non defective :-
48:3
B.) The probability that the part selected from box 1 is defective :-
1:1
The probability of the parts selected from box 2 and 3 are non defective :-
49:2
C.) The probability that two parts are non-defective and one part is defective :-
48:2 / 1:1
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6 0

3 years ago

Given P(A) = 0.44, P(B) 0.6 and P(An B) = 0.394, find the value of

geniusboy [140]

Given:

$P(A)=0.44,P(B)=0.6,P(A\cap B)=0.394$ .

To find:

The value of $P(A\cup B)$ , rounding to the nearest thousandth.

Solution:

We know that,

$P(A\cup B)=P(A)+P(B)-P(A\cap B)$

On substituting $P(A)=0.44,P(B)=0.6,P(A\cap B)=0.394$ , we get

$P(A\cup B)=0.44+0.6-0.394$

$P(A\cup B)=0.646$

Therefore, the value of $P(A\cup B)$ is 0.646.

8 0

3 years ago

Explain why the bases of a trapezoid need to be added in the formula. PLZZZZ HELP

Kazeer [188]

Answer:

Step-by-step explanation:

Because if you put together two trapezoids, one in a reversed position, you get a paralelogram. There the side of the parallelogram is the sum of the trapezoid bases, as in the picture.

The are of paralelogram is: A=(b+B)×h

For trapezoid, half of parallelogram:

A1=A/2=(b+B)×h/2

8 0

3 years ago

Find the area enclosed by the figure. Use 3.14 for π. (The figure is not to scale).

gtnhenbr [62]

Answer:

97.27 yd²

Step-by-step explanation:

First let's find the area of the right triangle on the left side. To do that, multiply 6x5, then divide the product by 2, since a right triangle is half a rectangle.

6x5=30

30/2=15

Area of triangle=15 yd²

Find area of the middle rectangle. So multiply the length by the width.

9x6=54

Area of rectangle=54 yd²

Find area of the half circle. Formula for area of circle is $A=\pi r^{2}$ . Pi is about 3.14, and radius ( $r$ ) is 3. Radius is half of the diameter of circle, and the 6 on the left says the diameter of circle.