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laila [671]
3 years ago
6

What is the area of this triangle?

Mathematics
2 answers:
jarptica [38.1K]3 years ago
6 0

Answer:

30 cm²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = \frac{1}{2} bh ( b is the base and h the perpendicular height )

Here b = 6 and h = 10 , then

A = \frac{1}{2} × 6 × 10 = 3 × 10 = 30 cm²

ki77a [65]3 years ago
3 0

Answer:

The area of this triangle is.. 30 in^2

Step-by-step explanation:

6 x 10 divided by 2 = 30

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The variable x is twice the value of the variable y and the sum of x and y is 42 solve for x and y.
Oksi-84 [34.3K]

Write two equations with the given information:

1) x = 2y ( x is twice the value of y)

2) x + y = 42

Replace x in the second equation with the value of x in the first equation:

2y + y = 42

Simplify:

3y = 42

Divide both sides by 3:

y = 42 / 3

y = 14

Now we have the value for Y, solve for x by replacing y with 14:

x = 2y

x = 2(14)

x = 28

X = 28 and y = 14

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2 years ago
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What is the coordinates of the center of an ellipse defined by the equation 16x^2 + 25y^2 + 160x - 200y + 400 = 0 ? Please give
pickupchik [31]

16x^2 + 25y^2 + 160x - 200y + 400 = 0     Rearrange and regroup.

(16x^2 + 160x) + (25y^2 - 200y ) = 0-400.     Group the xs together and the ys together.

16(X^2 + 10x) + 25(y^2-8y) = -400.     Factorising.

We are going to use completing the square method.

Coefficient of x in the first expression = 10.

Half of it = 1/2 * 10 = 5. (Note this value)

Square it = 5^2  = 25.     (Note this value)


Coefficient of y in the second expression = -8.

Half of it = 1/2 * -8 = -4. (Note this value)

Square it = (-4)^2  = 16. (Note this value)


We are going to carry out a manipulation of completing the square with the values

25 and 16.  By adding and substracting it.


16(X^2 + 10x) + 25(y^2-8y) = -400

16(X^2 + 10x + 25 -25) + 25(y^2-8y + 16 -16) = -400

Note that +25 - 25 = 0.    +16 -16 = 0. So the equation is not altered.

16(X^2 + 10x + 25) -16(25) + 25(y^2-8y + 16) -25(16) = -400


16(X^2 + 10x + 25) + 25(y^2-8y + 16)  = -400 +16(25) + 25(16)    Transferring the terms -16(25) and -25(16)

to other side of equation.  And 16*25 = 400


16(X^2 + 10x + 25) + 25(y^2-8y + 16)  = 25(16)


16(X^2 + 10x + 25) + 25(y^2-8y + 16)  = 400

We now complete the square by using the value when coefficient was halved.


16(x-5)^2 + 25(y-4)^2  = 400

Divide both sides of the equation by 400


(16(x-5)^2)/400 + (25(y-4)^2)/400  = 400/400              Note also that, 16*25 = 400.


((x-5)^2)/25 + ((y-4)^2)/16  = 1

((x-5)^2)/(5^2) + ((y-4)^2)/(4^2)  = 1


Comparing to the general format of an ellipse.

((x-h)^2)/(a^2) + ((y-k)^2)/(b^2)  = 1


Coordinates of the center = (h,k).

Comparing   with above   (x-5) = (x - h) , h = 5.

Comparing   with above   (y-k) = (y - k) , k = 4.

Therefore center = (h,k) = (5,4).

Sorry the answer came a little late.  Cheers.

3 0
3 years ago
Michael drove from Orlando to Jacksonville in 3 3/5 hours. The next day he drove from Jacksonville to savannah in 5 5/6 hours. W
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The answer is 9 13/30! I hope I helped!


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Which of the following shows the cost, gratuity percent, and tax percent rounded correctly in order to make a reasonable estimat
monitta

The correct answer is B

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A builder is working on a fountain for a park.
zysi [14]

Answer:

1.90 m

Step-by-step explanation:

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6 = 2πr

r = 0.95

d = 2(0.95) = 1.90 m

4 0
3 years ago
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