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Genrish500 [490]
3 years ago
11

What is the area of this trapezoid?

Mathematics
1 answer:
kolezko [41]3 years ago
5 0

Answer:

are of trapezoid =1/2×height(a+b)

Step-by-step explanation:

A=1/2×8(10+20)

=4×30

=120cm*

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Find the surface area of this prism please (no links please)
horsena [70]

Answer:

192 ft^2

Step-by-step explanation:

to find the surface area of a shape, you must find the area of each side and add them together. the base of this shape is a rectangle with a length of 11ft and a height of 3ft; to calculate the area of a rectangle, you multiply the length by the height. 3*11 is 33, so the base of this prism has an area of 33ft^2. since this is a prism, we know that the side parallel to the base are the same shape, so they both have an area of 33ft^2. 33*2= 66. the two other large sides have a height of 4.5 and a length of 11; 4.5*11 is 49.5, there are two shapes with these dimensions, so 49.5*2=99. finally, the two shapes on either end of the prism have a height of 4.5 and a length of 3. 4.5*3= an area of 13.5, two of them, so 13.5*2=27. now you just add all of these numbers together: 66+99+27=192.

4 0
3 years ago
The power generated by an electrical circuit (in watts) as a function of its current c (in amperes) is modeled by: P(c) = -12c^2
Ksenya-84 [330]

Answer:

The maximum power generated by the circuit is 300 watts.

Step-by-step explanation:

A quadratic function is one that can be written as an equation of the form:

f (x) = ax² + bx + c

where a, b and c (called terms) are any real numbers and a is nonzero.

In this case, f(x) is P(c) [the power generated], x is the current c (in amperes), a = -12, b = 120 and c = 0.

The vertex is a point that is part of the parabola, which has the value as ordered  minimum or maximum function. If the scalar a> 0, the parabola opens or faces up and the vertex is the minimum of the function. In contrast, if a <0, the parabola opens downward and the vertex is the maximum of the function.

The calculation of the vertex, which in this case will be the maximum of the function, is carried out as follows:

  • The value of x, in this case the value of current c in amperes, can be calculated with the formula c=\frac{-b}{2*a} . In this case: c=\frac{-120}{2*(-12)} So c= 5 amperes. The current is 5 amperes.
  • The value of y, in this case the value of the electric current in watts, is obtained by substituting the value of c previously obtained in the function. In this case: P(5)= -12*5²+120*5. So P(5)= 300 watts

<u><em>The maximum power generated by the circuit is 300 watts.</em></u>

7 0
4 years ago
What expression is equivalent to (8 squarded )and -4
kiruha [24]

Answer:

8^{2} + -4   = 64 - 4 =60

Step-by-step explanation:

5 0
3 years ago
What is (-12) + 7 Pre-Algebra
KonstantinChe [14]
The answer to this question is -5
7 0
2 years ago
Read 2 more answers
Use the babylonian method to approximate square root of 24 to the nearest hundredth.
irina [24]
We will start with our guess of 12, since 12*2 = 24.
Divide 24 by 12; 24/12=2.  Average this answer with our guess:  (12+2)/2=7.  This is our new guess.
24/7=3.428571429.  Average this with our guess of 7:  (3.428571429+7)/2=5.214285715.  This is our new guess.
24/5.214285715=4.602739726.  Averaging with our guess:  (4.602739726+5.214285715)/2=4.90851272.  New guess!
24/4.90851272=4.889464766.  Averaging with our guess:  (4.889464766+4.90851272)/2=4.898988743.  New guess!  You can see as we go through our guesses are closer and closer to the same number...)
24/4.898988743=4.898970228.  Averaging:  (4.898970228+4.898988743)/2=4.898979486.  At this point our answer is the same every time down to the hundred-thousandth.  Our estimate to the nearest hundredth would be 4.90.
6 0
3 years ago
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