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Studentka2010 [4]
3 years ago
8

Find the area of each trapezoid or kite

Mathematics
1 answer:
lara31 [8.8K]3 years ago
8 0

9514 1404 393

Answer:

  8)  42 in²

  9)  33 cm²

  10)  112 yd²

Step-by-step explanation:

8) The area is given by the formula ...

  A = 1/2(b1 +b2)h

  A = (1/2)(9 in +5 in)(6 in) = 42 in²

__

9) The area is half the product of the lengths of the diagonals.*

  A = 1/2(d1)(d2)

  A = 1/2(6 cm)(11 cm) = 33 cm²

__

10) As in the previous problem, ...

  A = 1/2(14 yd)(16 yd) = 112 yd²

_____

* This formula works for any quadrilateral with perpendicular diagonals.

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The exchange rate of Mexican pesos for US dollars is approximately 19 pesos for 1 dollar if Lynn exchanges 4,000 pesos for US do
tia_tia [17]

Unit conversion is a way of converting some common units into another without changing their real value. The approximate value in US dollars is $210.53.

<h3>What is unit conversion?</h3>

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

The exchange rate of Mexican pesos for US dollars is approximately 19 pesos for 1 dollar. Therefore, we can write,

19 pesos = 1 dollar

1 pesos = 1/19 dollar

if Lynn exchanges 4,000 pesos for US dollars, then the approximate value in US dollars will be,

4,000 pesos = 4000/19 = 210.53 dollars

Hence,  the approximate value in US dollars is $210.53.

Learn more about Units conversion:

brainly.com/question/4736731

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3 0
2 years ago
The difference of two numbers is equal to 0.6. Their quotient is also 0.6. What are the numbers?
Murrr4er [49]

Solution:

we are given that

The difference of two numbers is equal to 0.6.

Let the numbers  be x and y so we can write

x-y=0.6......(i)

Their quotient is also 0.6.

so we can write

\frac{x}{y} =0.6.....(ii)

Now solve these two equations together we get

0.6y-y=0.6......(i)

-0.4y=0.6

y=-3/2=-1.5

x =0.6+y

x =0.6-1.5=-0.9

Hence the numbers are -1.5 and -0.9

8 0
3 years ago
Identify the interval(s) on which the function y = 2x^2 - 8x - 10 is positive.
Serga [27]

Given:

y=2x^2-8x-10

To find:

The interval(s) on which the given function is positive.

Solution:

We have,

y=2x^2-8x-10

y=2(x^2-4x-5)

y=2(x^2-5x+x-5)

y=2(x(x-5)+1(x-5))

y=2(x+1)(x-5)

For zeroes, y=0

2(x+1)(x-5)=0

x=-1,x=5

-1 and 5 divide the number line in three parts (-\infty , -1),(-1,5),(5,\infty ).

Interval        Selected Value      y=2(x+1)(x-5)                      Sign

(-\infty,-1)                -2                  y=2(-2+1)(-2-5)=14           +

(-1,5)                     0                   y=2(0+1)(0-5)=-10              -

(5,\infty)                       6                  y=2(6+1)(6-5)=14                 +

So, the function is positive for interval (-\infty,-1) and (5,\infty).

We can say that the function is positive for interval x < -1 and x > 5.

Therefore, the correct option is B.

8 0
3 years ago
Which is a factor of 6x^3y+6xy-12x^2-12
vredina [299]

6x³y + 6xy − 12x² − 12 = 6(xy-2) * (x²+1)


(x²+1) is a factor of 6x³y + 6xy − 12x² − 12

6 0
3 years ago
Solve for the proportion below. x/24=5/6 <br><br> A. 20 <br> B. 10 <br> C. 12 <br> D. 23
Andrei [34K]

Answer:20

Step-by-step explanation:

x/24=5/6

multiply both sides by 24

x=(5*24)/6

simplify

x=5*4

x=20

6 0
4 years ago
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