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Oduvanchick [21]
2 years ago
7

Referring to the figure, find the area of the trapezoid shown.

Mathematics
1 answer:
Lera25 [3.4K]2 years ago
5 0

Answer:

Step-by-step explanation:

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6. Find the area of a trapezoid with bases 14 cm and 18 cm and height 10 cm.
lyudmila [28]
160cm^2
You just have to plug the numbers into the formula for it

7 0
3 years ago
The length of a rectangle represented by 4a plus 3B and it's width is represented by 3a minus 2b. Write a polynomial for the per
Svetach [21]
The polynomial for the perimeter starts from the formula for the perimeter of a rectangle as written below:

Perimeter = 2L + 2W = 2( L + W)
Perimeter = 2(4A + 3B + 3A - 2B)
Perimeter = 2(7A - B)
Let perimeter be P,
P = 14A - 2B  --> this would be the polynomial

Let's substitute A=12 to the polynomial:
P = 14(12) - 2B = 168 - 2B
To determine the minimum P, set it to 0.0001.
0.0001 = 168 - 2B
B = 83.999 or 84

Thus, the minimum perimeter is achieved if the value of B approached to 84.

7 0
3 years ago
Which algebraic expression is equivalent to -2(4x -5y - 5x)
aleksley [76]

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4 0
3 years ago
A circle has a diameter with endpoints (-7, -1) and (-5, -9). What is the equation of the circle? r2 = (x + 6)2 + (y + 5)2 r2 =
Fantom [35]
Answer: (x + 6)² + (y + 5)² = 17

Explanation:

1)  The equation of a circle is: (x - a)² + (y - b)² = r², wnere:
a is the x-coordinate of the center of the circleb is the y-coordinate of the center of the circler is the radius of the circle
2) Since the points (-7,-1) and (-5,9) define a diameter, you can find the center of the circle as the mid point of the diameter:
x-coordinate of the mid point = (-7 - 5) / 2 = - 12 / 2 = - 6
y-coordinate of the mid point = (-9 - 1)/ 2 = - 10 / 2 = - 5

Therefore, the center of the circle is (-6,-5)

3) The radius of the center is half the diameter.
The length of the diameter is found using the formula for the distance between two points applied to the two endopoints given:
diameter² = (7 - 5)² + (- 1 + 9)² = 2² + 8² = 4 + 64 = 68

⇒diameter = √68 = 2√17

⇒ radius = diamter / 2 = 2√17 / 2 = √17

4) Now you can replace the coordinates of the center and the radius into the equation:
(x + 6)² + (y + 5)² = 17


8 0
3 years ago
Malan bought 7eights of turkey at the deli he used 2third of it to make sandwiches for lunch how much of the turkey did marlan u
Studentka2010 [4]
First we have to find a common denominator
8×3=21
7/8×3=21/24
2/3×8=16/24
21-16=5
answer is 5/24
5 0
3 years ago
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