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Arada [10]
3 years ago
9

The area of a triangular block is 16 squre inches. If the base of the triangle is twice the height, how long are the base and th

e height of the triangle?
Mathematics
1 answer:
klemol [59]3 years ago
6 0
The area of a triangle can be calculated using the formula 

1/2 (base) (height)

Let's substitute our known values, letting x represent the value of the height of the triangle.

16  = 1/2* x* 2x

Let's Simplify!

16 = x^2

Finally, lets take the square root of both sides, to get rid of the exponent on the right side of the equation.

x= positive OR negative 4.

However, because x is equal to the height, we know that it can't be negative, so we know that it is positive 4.

The height of the triangle = 4 inches
The base of the triangle = 2h = 8 inches

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arsen [322]
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i=prt
i=300(0.9)(1/3)
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4 0
3 years ago
Find the area. Round to the nearest hundredth when necessary. Be sure you are showing all work to find each figure.
eimsori [14]

<u>Additional requirements in figure</u> :-

Mark point :-

  • A
  • B
  • C
  • D
  • E

Draw a straight line from E to AB .

And the point line joins mark it as "F" .

It will generate quadrilateral FBCD.

we get to know In quadrilateral left angle is 90°

How ?

{

proof :

As three angles are given 90° So third angle will also be 90°

Reason:

→ Sum of interior angles = 2 (no. of angles - 2 × 180°

→Sum of interior angles = (4-2 × 180°)

→Sum of interior angles = (2 × 180°)

→Sum of interior angles = 360°

}

<u>✿</u><u>Now let the left angle be </u><u>x</u>

  • 90° +90° + 90° + x = 360°
  • 180° + 90° + x = 360°
  • 270° + x = 360
  • x = 360° - 270°
  • x = 90°

<u>we know</u> :

Area of rectangle = Length × Breadth

STEPS :

  • Area of rectangle = Length × Breadth

  • Area of rectangle = 7 × 8

  • Area of rectangle = 56 in²

<u>Now let's find EF</u> :

  • EF = BD - EC

  • EF = 7 - 4

  • EF = 3 in

<u>To find A</u>

<u>F</u> :

  • A•F = AB - CD

  • A•F = 12 - 8

  • A•F = 4 in

<u>In triangle AFE</u>:

  • EF is base of triangle
  • A•F is height of triangle

We know :

<u>Area of triangle =(</u><u> </u><u>Height</u><u> </u><u>×</u><u> </u><u>Base)/2</u>

Steps :

  • Area of triangle = (Height × Base)/2
  • Area of triangle = (4 × 3)/2
  • Area of triangle = 12/2
  • Area of triangle = 6 in²

<u>To find area of figure</u> :

  • Area of figure = Area of rectangle + Area of triangle
  • Area of figure = 56 + 6
  • Area of figure = 62 in²

______________________

~WindyMint

5 0
2 years ago
Whatt are some inportant rules to dividing and multipling positives and negitives.
Lerok [7]
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3 × 2 = 6
m × n = mn

Positive × Negative = Negative
8 × -4 = -32
m × -n = -mn

Negative × Negative = Positive
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-m × -n = mn
(-x) × (-x) = x²

The same rules apply for division as multiplication.
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How many push-up does he need to do each month
earnstyle [38]

Answer: 500

Step-by-step explanation:

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He does it ten times per month

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Y=200+50x...........
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