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Lubov Fominskaja [6]
3 years ago
10

Find the height of a trapezoid with bases 9 and 6 and an area of 120 square units​

Mathematics
2 answers:
frozen [14]3 years ago
8 0

Answer:

Step-by-step explanation:

The formula for determining the area of a trapezoid is expressed as

Area = 1/2(a + b)h

Where

a and b are the length of The bases are the 2 sides of the trapezoid which are parallel with one another.

h represents the height of the trapezoid.

From the information given,

a = 9 units

b = 6 units

If It has an area of 120 square units, then

120 = 1/2(9 + 6)h

Cross multiplying by 2, it becomes

120 × 2 = (9 + 6)h

240 = 15h

h = 240/15 = 16 units

krek1111 [17]3 years ago
7 0

Answer:

Height (h) = 16 units

Step-by-step explanation:

Area of trapezium = ½ (Sum of 2 parallel lengths) * Height

Area = ½ ( a + b ) h

Given that:

a=6 units

b= 9 units

Area = 120 square units

Therefore:

120 = ½(6+9) h

120 = ½ (15) h

Multiply through by 2.

2*120 = 2*½ (15) h

240 = 15h

h = 240/15

h= 16 units

Please find the attached file for the sketch.

Enjoy solving math

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Mr. Morales purchased 218 acres of land for his farm. If the total price of the land was $163,282, how much did each acre cost?
nlexa [21]

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$749 each

Step-by-step explanation:

6 0
3 years ago
If aſc and a +b = C, prove that a|b.
mars1129 [50]

Answer with Step-by-step explanation:

Since we have given that

a + b = c

and a|c

i.e. a divides c.

We need to prove that a|b.

⇒ a = mb for some integer m

Since a|c,

So, mathematically, it is expressed as

c= ka

Now, we put the above value in a + b = c.

So, it becomes,

a+b=c\\\\a+b=ka\\\\b=ka-a\\\\b=a(k-1)\\\\\implies a|b

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7 0
3 years ago
What is the derivative of 3x+5x
Vaselesa [24]

Answer:

\displaystyle \frac{d}{dx}[3x + 5x] = 8

General Formulas and Concepts:

<u>Calculus</u>

Differentiation

  • Derivatives
  • Derivative Notation

Derivative Property [Multiplied Constant]:                                                           \displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)

Basic Power Rule:

  1. f(x) = cxⁿ
  2. f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

\displaystyle y = 3x + 5x

<u>Step 2: Differentiate</u>

  1. Simplify:                                                                                                         \displaystyle y = 8x
  2. Derivative Property [Multiplied Constant]:                                                   \displaystyle y' = 8\frac{d}{dx}[x]
  3. Basic Power Rule:                                                                                         \displaystyle y' = 8

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

7 0
3 years ago
What is the slope of the line that is perpendicular to a line whose equation 3y=-4x+2?
Zarrin [17]
The slopes of lines perpendicular to each other are opposite reciprocals. So, if you are given that the slope of a line is 3 and need to find the slope of a line perpendicular to that line, you'd flip that number around and negate it, leaving you with -1/3.

To find the slope of the given line, first get it into slope-intercept form (y - mx + b, where m is the slope and b is the y-intercept).

    3y = -4x + 2
    y = -4/3x + 2/3

The slope is -4/3. To find the slope of a perpendicular line, find its opposite reciprocal. It is 3/4.

Answer:
3/4 (the first option)
6 0
3 years ago
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