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Ede4ka [16]
3 years ago
5

The bases of a trapezoid are 11 meters and 14 meters. Its height is 10 meters. What is the area of the trapezoid?

Mathematics
1 answer:
kenny6666 [7]3 years ago
4 0
Area of Trapezoid = (1/2) * (Sum of bases) * height

Area =   (1/2) * (11 + 14) * 10

        =    (1/2) * 25 * 10   =    5 *25 = 125

Area = 125 m²
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Factorise 9w² - 100<br><br><br>​
ohaa [14]

Answer:

9\, w^{2} - 100 = (3\, w - 10) \, (3\, w + 10).

Step-by-step explanation:

Fact:

\begin{aligned} & (a - b)\, (a + b)\\ =\; & a^{2} + a\, b - a\, b - b^{2} \\ =\; & a^{2} - b^{2} \end{aligned}.

In other words, (a^{2} - b^{2}), the difference of two squares in the form a^{2} and b^{2}, could be factorized into (a - b)\, (a + b).

In this question, the expression (9\, w^{2} - 100) is the difference between two terms: 9\, w^{2} and 100.

  • 9\, w^{2} is the square of 3\, w. That is: (3\, w)^{2} = 9\, w^{2}.
  • On the other hand, 10^{2} = 100.

Hence:

9\, w^{2} - 100 = (3\, w)^{2} - (10)^{2}.

Apply the fact that a^{2} - b^{2} = (a - b) \, (a + b) to factorize this expression. (In this case, a = 3\, w whereas b = 10.)

\begin{aligned}& 9\, w^{2} - 100 \\ =\; & (3\, w)^{2} - (10)^{2} \\ = \; & (3\, w - 10)\, (3\, w + 10)\end{aligned}.

8 0
3 years ago
-(9-15)+(-8+2)-(24-30)=
AleksAgata [21]
The answer is -6
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(-8+2)=-6
(24-30)=-6
-(-6)+(-6)-(-6)= -6
3 0
3 years ago
Please help!<br><br> 1. n^6/n^2<br><br> a. 1/n^4<br> b. n^4<br> c. n^8<br> d. n12
Klio2033 [76]
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5 0
3 years ago
For any two nonzero integers, the product and quotient have the same sign. True or False
victus00 [196]
That's true. If the integers both have the same sign, then their product and quotient are both positive. If signs are different, then product and quotient are both negative.
5 0
3 years ago
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3x-8y=24 <br> y=x-8<br> Please show <br> work
In-s [12.5K]

Answer:

3x - 8y = 24   --------(1)

y = x - 8  ---------(2)

substitute  y in (1)

3x - 8( x - 8) = 24

3x - 8x + 64 = 24

-5x = 24 - 64

-5x = -40

5x = 40

x= 8

substitute x in (2)

y = 2 - 8

y = - 6

4 0
3 years ago
Read 2 more answers
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