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natita [175]
2 years ago
13

Please find the area of the trapezoids. By the way, the answer is NOT 10.5.

Mathematics
1 answer:
In-s [12.5K]2 years ago
4 0

Answer:

42 square units

Step-by-step explanation:

Hello There!

The area of a trapezoid can be found using this formula

a =  \frac{a + b}{2} h

where a and b are bases and h is height

if you look at the graph we can see that the lines are counting by 2 units

knowing this we want to find the dimensions

the shown trapezoid has the following dimensions

a =2*2 or 4

b=5*2 or 10

h=3*2 or 6

having found this information we then plug it into the formula

a =  \frac{4+ 10}{2} 6 \\ 4 + 10 = 14 \\  \frac{14}{2}  = 7 \\ 7 \times 6 = 42

so we can conclude that the area of the trapezoid is 42 square units

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How long are the other sides
tester [92]

Answer:

10 inches.

Step-by-step explanation:

Because an isosceles has two equal sides and on different one

7 0
3 years ago
>
kondor19780726 [428]

Answer:

23 degrees

Step-by-step explanation:

Find the diagram attached

The sum of angle on the straight line is 180°

103+3x+15+x+10 = 180

128+4x =180

4x = 180-128

4x = 52

x = 52/4

x = 13

The measure of the angle of the intersection between Derby Drive and Rosemont is x+10

= 13+10

= 23 degrees

Hence the measure of the angle is 23 degrees

5 0
3 years ago
Natalie consumes only apples and tomatoes. Her utility function is U(x, y) = x 2y 8 , where x is the number of apples consumed a
Kamila [148]

Answer:

16 apples.

Step-by-step explanation:

U(x, y) = x^2y^8

MU_x =\frac{\partial U}{\partial x}  = 2xy^8\\MU_y = \frac{\partial U}{\partial x} = 8x^2y^7\\

Price of apples, Px=$4

Price of tomatoes,  Py=$3

Ratio of their Marginal Utilities

\frac{MU_x}{MU_y}  =  \frac{Px}{Py}

\frac{y}{4x}  =  \frac{4}{3}

y=\frac{16x}{3}

Since Natalie’s income is $320

320 = xPx+yPy

320=4x + 3*\frac{16x}{3} \\320= 4x+16x = 20x\\x=\frac{320}{20} = 16\\Also\\y=\frac{16x}{3}=\frac{16X16}{3}=\$85.33

Since x=16, Natalie will consume 16 apples.

6 0
3 years ago
12 x+12y = 156<br> 4x + 6y =62 I need help please
mojhsa [17]

Answer:

{x,y}={8,5}

Step-by-step explanation:

12x + 12y = 156  4x + 6y = 62

8 0
2 years ago
Read this and answer this for me Thanks &lt;3
Norma-Jean [14]

Answer:

The answer is 1st point

Step-by-step explanation:

(12x²+4x-5)-(9x²-9x+1)

= 12x²+4x-5-9x²+9x-1

= 3x²+13x-6

6 0
3 years ago
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