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Alborosie
3 years ago
14

A lawn in the shape of a trapezoid has an area of 1,833 square meters. The length of the other base is 42 meters. What is the he

ight of the trapezoid? PLEASE DO STEP BY STEP
Mathematics
1 answer:
Klio2033 [76]3 years ago
3 0
The area of a trapezoid can be found with this formula:

A=\frac{1}2(b_1+b_2)h

Where b1 and b2 are the bases and h is the height.

If we plug in what we know we can solve for the height.
We know that b1 = 52, b2 = 42, and A = 1833. Let's solve.

1833=\frac{1}2(52+42)h\\1833=\frac{1}2\times94h\\1833=47h\\\boxed{h=39\ m}
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shutvik [7]
Call the point where the dashed line intersects FG point K.
Given:
.. FK = x+6
.. FG = HI = 3x
.. FI = x+8 = GH = 2x -1
.. Area of a parallelogram = HI*IK
.. Pythagorean theorm says FK^2 +IK^2 = FI^2

Find:
.. x
.. Area

Solution:
.. Using the fact that FI = GH, we find
.. x +8 = 2x -1
.. 9 = x . . . . . . . . . add 1-x to both sides of the equation

Now, we know
.. FK = 9 +6 = 15
.. HI = 3*9 = 27
.. FI = 9 +8 = 17
.. FK^2 +IK^2 = FI^2
.. 15^2 +IK^2 = 17^2
.. Ik^2 = 289 -225 = 64
.. IK = √64 = 8

Area = HI*IK = 27*8 = 216
4 0
4 years ago
Which is the graph of f(x) = 1/4(4)^x?
Katen [24]

Answer:

The last graph with the point (2,4).

Step-by-step explanation:

Make a table of the values, then graph.

Example:

X: -2, -1, 0, 1, 2

Y: \frac{1}{64}, \frac{1}{16}, \frac{1}{4}, 1, 4

5 0
3 years ago
he lunch special at Saleh's Restaurant is a sandwich, a drink and a dessert. There are 2 sandwiches, 2 drinks, and 3 desserts to
LiRa [457]

Answer:

2

Step-by-step explanation:

that's because there are two sandwiches and two drinks so one sandwich and drink is one lunch special

4 0
3 years ago
I need help please and thank you
Thepotemich [5.8K]

Answer:

60

Step-by-step explanation:

120°+90°+90°+x=360°

or,300°+x=360°

.•.x=60°

3 0
3 years ago
How many centimeters are there in 1 yard if there are 2.54 centimeters per inch show your work?
Liula [17]
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2.54•36= 91.44 centimeters
There are 91.44 cm in a yard.
Hope this helps.
4 0
3 years ago
Read 2 more answers
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