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MrMuchimi
3 years ago
14

the area of a triangle is 27 sq ft. its height is 3 times the length of the base. find the height and base.

Mathematics
1 answer:
AysviL [449]3 years ago
6 0

let base be x

height = 3x

area = 1/2 * base* height

area = 1/2 * x*3x

Area = 3x^2/2= 27

3x^2= 54


x^2= 54/3

x^2= 18

x= sqrt 18

x= sqrt (3*3*2)

x= 3sqrt2 the base

height = 3 * 3sqrt2

height = 9 sqrt2

Hope this helps!

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Here are two polygons on a grid. Is PQRST a scaled copy of ABCDE?
Bezzdna [24]

*see attachment showing the two polygons in a grid.

Answer:

No, PQRST is not a scale copy of ABCDE because we the sides are not increased proportionally.

Step-by-step explanation:

A polygon can be said to be a scaled copy of another polygon, if the the same scale factor is used in scaling every segment of the preimage or original image to get the length of the corresponding segments of the scale copy or image. In order words, all segments must be scaled proportionally.

Polygon PQRST, which is the new image, has different scale factors used in scaling the various segments of the preimage. In simple terms, the sides of PQRST were not increased proportionally. Therefore, PQRST is not a scaled copy of ABCDE.

5 0
3 years ago
−3x − 8y = 20 −5x + y = 19 solved by substitution
beks73 [17]

Delete as this is the wrong answer. Made a typo in the answer.

Answer:

x = \frac{-212}{3}

y = 24

Step-by-step explanation:

-3x - 8y = 20  .... (1)

-5x + y = 19   .... (2)

What we can do is take the (2) equation

-5x + y = 19

and solve for y by adding 5x to both sides

y = 24

now that we have y we substitute it in for y in equation (1)

-3x - 8(24) = 20

-3x - 192 = 20

we want to solve for x so we need to get its self.

add 192 to both sides

-3x = 212

now we divide both sides by -3. It's going to be a fraction.

x = \frac{-212}{3}

7 0
3 years ago
Read 2 more answers
Need help fast,please!
Elina [12.6K]

1) 3

2) 2

3) 7

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4 0
3 years ago
Differentiate: y=152+26−37 <br><br> dy/dx= answer
ozzi

Answer:

\frac{dy}{dx} y=0

General Formulas and Concepts:

<u>Calculus</u>

  • The derivative of a constant is equal to 0

Step-by-step explanation:

<u>Step 1: Define function</u>

y = 152 + 26 - 37

<u>Step 2: Simplify</u>

<em>Combine like terms</em>

y = 141

<u>Step 3: Find derivative</u>

<em>Derivative of any constant will be 0.</em>

<em />\frac{dy}{dx} y=0<em />

8 0
2 years ago
Help Asap Immediately!!
Svetlanka [38]

Answer:

its 432

Step-by-step explanation:

You multiply the base times the side length then divide by 2. hope this helps

3 0
3 years ago
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