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Ratling [72]
2 years ago
7

Quadrilateral DEFT has vertices D(2, 7), E(-4, 4), F(5, -6), and T(11, -3). What is the best name for quadrilateral DEFT?

Mathematics
1 answer:
Hoochie [10]2 years ago
7 0

Answer:

parallelogram

Step-by-step explanation:

slope of DE = (4-7) / (-4 - 2) = 1/2

slope of FT = (-3 - -6) / (11-5) = 1/2

DE // FT

slope of EF = (-6 - 4) / (5 - -4) = - 10/9

slope of DT = (-3 - 7) / (11 - 2) = - 10/9

EF // DT

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35percent as a fraction in simplest form
Luden [163]

Answer:

7/20

Step-by-step explanation:

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3 years ago
20. What is the volume, in terms of r, for a cylindrical
inysia [295]

Step-by-step explanation:

Volume of cylindrical container

= \pi {r}^{2} h \\  \\  = 3.14 \times ( {3.25)}^{2}  \times 10 \\  \\  = 3.14 \times 10.5625 \times 10 \\  \\  = 331.6625  {cm}^{3}  \\  \\  \approx \: 331.66 \:  {cm}^{3}

4 0
3 years ago
onyango wishes to fence a rectangular research plot using 100 m of wire .one end of the plot has a wall already erected .calcula
earnstyle [38]

Answer:

1250 m²

Step-by-step explanation:

Let x and y denote the sides of the rectangular research plot.

Thus, area is;

A = xy

Now, we are told that end of the plot already has an erected wall. This means we are left with 3 sides to work with.

Thus, if y is the erected wall, and we are using 100m wire for the remaining sides, it means;

2x + y = 100

Thus, y = 100 - 2x

Since A = xy

We have; A = x(100 - 2x)

A = 100x - 2x²

At maximum area, dA/dx = 0.thus;

dA/dx = 100 - 4x

-4x + 100 = 0

4x = 100

x = 100/4

x = 25

Let's confirm if it is maximum from d²A/dx²

d²A/dx² = -4. This is less than 0 and thus it's maximum.

Let's plug in 25 for x in the area equation;

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5 0
3 years ago
If I bought shoes for 32.30 with 15% off 7%sales tax a 25dollar gift card but had a coupon that was forgotten for 5%off the orig
Otrada [13]

Answer:

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Step-by-step explanation:

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So the price to which tax is added is ...

  $32.30 -4.85 = $27.45

The amount of tax is 7% of this value, or ...

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So, payment is made on the amount ...

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$29.37 is the total amount paid.

If $25 is paid using a gift card, then the cash outlay is $4.37.

_____

Usually only a single coupon can be applied to a given purchase. Since the 15% store discount exceeds the amount of the 5% coupon left at home, it makes more sense to claim the 15% store discount and save the 5% coupon for another time.

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<em>Alternate interpretation</em>

If, by some magic, both discounts could be applied, then the amount to be paid is $27.65, of which $2.65 exceeds the gift card amount. The calculation proceeds the same way, except that 20% is used instead of 15%.

4 0
3 years ago
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1) 1/2

2) 3/7
that is the answer
6 0
3 years ago
Read 2 more answers
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