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diamong [38]
3 years ago
9

Find the area of the trapezoid.

Mathematics
2 answers:
solong [7]3 years ago
5 0
Add top and bottom number, divide by 2 then multiply by the height:

18 +6 = 24

24/2 = 12

 12 * 12 = 144 square inches

Vadim26 [7]3 years ago
4 0
Area of the trapezium = 1/2(18 + 6) x 12
Area of the trapezium = 144 in²

------------------------------------------------
Answer: Area = 144 in²
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Find the limit if it exists lim x→0 sqrtx+7-sqrt7 over x
Triss [41]

Answer:

\frac{1}{ 2\sqrt{7} }

Step-by-step explanation:

\lim_{x\to 0}  \frac{ \sqrt{x + 7}  -  \sqrt{7} }{x}  \\  \\  = \lim_{x\to 0}  \frac{( \sqrt{x + 7}  -  \sqrt{7}) }{x}  \times  \frac{( \sqrt{x + 7}   +   \sqrt{7}) }{( \sqrt{x + 7}   +  \sqrt{7}) }  \\  \\   = \lim_{x\to 0}  \frac{( \sqrt{x + 7} )^{2}  -  (\sqrt{7})^{2}  }{x( \sqrt{x + 7}   +  \sqrt{7})}  \\  \\   = \lim_{x\to 0}  \frac{( {x + 7}  -  {7}) }{x( \sqrt{x + 7}   +  \sqrt{7})}   \\  \\ = \lim_{x\to 0}  \frac{ {\cancel x}}{\cancel x( \sqrt{x + 7}   +  \sqrt{7})} \\  \\ = \lim_{x\to 0}  \frac{ {1}}{\sqrt{x + 7}   +  \sqrt{7}}  \\  \\  =  \frac{1}{ \sqrt{0 + 7} +  \sqrt{7}  } \\  \\  =  \frac{1}{ \sqrt{7} +  \sqrt{7}  }  \\  \\  =  \frac{1}{ 2\sqrt{7} }

6 0
3 years ago
Mark ran 213 mi. and Shaun ran 315 mi. Find the difference in the distance that they ran.
Nutka1998 [239]
102 miles you subtract them and get the results
3 0
2 years ago
Write the perimeter of each figure as a trinomial. <br> Must show your work.
noname [10]

Answer:

P = 2n + 8m - 1

Step-by-step explanation:

A <u>trinomial is an expression or equation that has three terms</u>. A term is when between the numbers or variables, the operations are neither subtraction nor addition, or when there is only one number.

If two terms have the <u>same variable</u>, called <u>like terms</u>, they can be combined by addition or subtraction.

The perimeter is the total length of all the sides.

The formula for the perimeter of a triangle is P = s_{1} + s_{2}  + s_{3} for each of the three sides.

Substitute each of the three sides.

P = s_{1} + s_{2}  + s_{3}

P = n + (2m + n)  + (6m - 1)

P = n + 2m + n  + 6m - 1 brackets can be removed

P = n + n + 2m + 6m - 1 rearrange equation according to like terms

P = 2n + 8m - 1 collected the like terms by addition

3 0
3 years ago
Order 0.0509km , 60.5 m and 5700cm​
krok68 [10]

Answer:  0.0509km 60.5m 5700cm

Greatest to least

Step-by-step explanation:

3 0
2 years ago
Solve the following system of equations.<br><br> x - 2y = -2<br> 7x - 3y = 19
dolphi86 [110]

Answer:

Step-by-step explanation:

x-2y=-2     x=2y-2

7x-3y=19

substitute x  with 2y-2

7(2y-2)-3y=19     14y-14-3y=19       11y=33   y=3

substitue 3 for y

x-2(3)=-2     x-6=-2      x=4

x=4, y=3

btw if theres more similar questions like this use symbolab a website that solves and show you step by step in solving equations

really useful

8 0
2 years ago
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