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malfutka [58]
2 years ago
5

1 2 3 4 5 6 7 8 9 10 TIME REMAINING 54:32 Because the lid of a marker is wider than the marker itself, a set of markers can be p

ackaged in a container that is in the shape of a trapezoid instead of a rectangle. A trapezoid has a base of 12 inches, height of 10 inches, and top side length of 10 inches. A rectangle has a base of 12 inches and height of 10 inches. What is the difference in area between the two packages
Mathematics
2 answers:
tia_tia [17]2 years ago
5 0

Answer:

10 Square Inches

Step-by-step explanation:

<u>Trapezoid</u>

Base =12 inches

Height =10 inches

Top side= 10 inches.

Area of a Trapezoid=\frac{1}{2}(a+b)h, $where a and b are the lengths of the base and top respectively$

=\frac{1}{2}(10+12)*10\\=5*22=110 \:Square\:Inches

Area of the Trapezoid=110 Square Inches

<u>Rectangle</u>

Base = 12 inches

Height =10 inches.

Area of a Rectangle=Base X Height

=12 X 10

=120 Square Inches

<u>Difference in Area between the two packages</u>

Difference=Area of Rectangle-Area of Trapezoid

=120-110

=10 Square Inches

Juli2301 [7.4K]2 years ago
4 0

Answer:

10 Square Inches

Step-by-step explanation:

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Which data value has the highest frequency? 1 1/6 3 1/6 3/8 5/8
Marat540 [252]

Answer:

3 1/6

Step-by-step explanation:

To find the highest value, we have to evaluate each term individually,

1)  1 1/6 = 7/6 = 1.167

2) 3 1/6 = 19/6 = 3.16

3) 3/8 = 0.375

4) 5/8 = 0.625

Therefore, second data value (3 1/6) is highest.

 

8 0
2 years ago
“Solve the equation. Determine if it is undefined or not.”
lozanna [386]

Answer:  a) No Solution

               b) Infinite Solutions  (All Real Numbers)

<u>Step-by-step explanation:</u>

4(g + 8) = 7 + 4g

4g + 32 = 7 + 4g      <em>distributed 4 into g + 8</em>

        32 = 7             <em> subtracted 4g from both sides</em>

Since the statement is false because 32 ≠ 7, then there is NO SOLUTION

-4(-5h - 4) = 2(10h + 8)

20h + 16  = 20h + 16       <em>distributed</em>

           16  =           16        <em>subtracted 20h from both sides</em>

Since the statement is true because 16 = 16, then there are INFINITE SOLUTIONS so x can be all real numbers.

8 0
3 years ago
Evaluate ( 4 upon 3 ) -2<br><br><br>please amswer fast​
Taya2010 [7]
<h2><u>Solution</u></h2>

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<h3>Hope This Helps You ❤️</h3>
6 0
3 years ago
The length (in centimeters) of a typical Pacific halibut t years old is approximately f(t) = 200(1 − 0.956e−0.18t). Suppose a Pa
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Answer:

7.2 years

Step-by-step explanation:

f(t) =200(1 - 0.956e^{-0.18t})

where f(t) is the length and t is the number of years old

given the Mike measures 148 cm, we need to find out the age

So we plug in 148 for f(t) and solve for t

148 =200(1 - 0.956e^{-0.18t})

divide both sides by 200

\frac{148}{200} = 1 - 0.956e^{-0.18t}

Now subtract 1 from both sides

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Divide both sides by -0.956

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ln(\frac{0.26}{0.956} )=-0.18tln(e)

ln(\frac{0.26}{0.956} )=-0.18t

divide both sides by -0.18

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So 7.2 years

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3 years ago
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