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3 years ago

12

594 miles in 9 hours

1 answer:

vazorg [7]3 years ago

4 0

66 mph

594 divided by 9

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On a coordinate plane, kite W X Y Z is shown. Point W is at (negative 3, 3), point X is at (2, 3), point Y is at (4, negative 4)

xz_007 [3.2K]

Answer:

$P = 10 + 2\sqrt{53}$ units

Step-by-step explanation:

Given

Shape: Kite WXYZ

W (-3, 3), X (2, 3),

Y (4, -4), Z (-3, -2)

Required

Determine perimeter of the kite

First, we need to determine lengths of sides WX, XY, YZ and ZW using distance formula;

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}$

For WX:

$(x_1, y_1)\ (x_2,y_2) = (-3, 3),\ (2, 3)$

$WX = \sqrt{(-3 - 2)^2 + (3 - 3)^2}$

$WX = \sqrt{(-5)^2 + (0)^2}$

$WX = \sqrt{25}$

$WX = 5$

For XY:

$(x_1, y_1)\ (x_2,y_2) = (2, 3)\ (4,-4)$

$XY = \sqrt{(2 - 4)^2 + (3 - (-4))^2}$

$XY = \sqrt{-2^2 + (3 +4)^2}$

$XY = \sqrt{-2^2 + 7^2}$

$XY = \sqrt{4 + 49}$

$XY = \sqrt{53}$

For YZ:

$(x_1, y_1)\ (x_2,y_2) = (4,-4)\ (-3, -2)$

$YZ = \sqrt{(4 - (-3))^2 + (-4 - (-2))^2}$

$YZ = \sqrt{(4 +3)^2 + (-4 +2)^2}$

$YZ = \sqrt{7^2 + (-2)^2}$

$YZ = \sqrt{49 + 4}$

$YZ = \sqrt{53}$

For ZW:

$(x_1, y_1)\ (x_2,y_2) = (-3, -2)\ (-3, 3)$

$ZW = \sqrt{(-3 - (-3))^2 + (-2 - 3)^2}$

$ZW = \sqrt{(-3 +3)^2 + (-2 - 3)^2}$

$ZW = \sqrt{0^2 + (-5)^2}$

$ZW = \sqrt{0 + 25}$

$ZW = \sqrt{25}$

$ZW = 5$

The Perimeter (P) is as follows:

$P = WX + XY + YZ + ZW$

$P = 5 + \sqrt{53} + \sqrt{53} + 5$

$P = 5 + 5 + \sqrt{53} + \sqrt{53}$

$P = 10 + 2\sqrt{53}$ units

6 0

3 years ago

Sarah works at a factory that makes boxes of cereal. Her job is to weigh each box to make sure they

bezimeni [28]

Answer:

Yes, 1920 pounds is an accurate measurement since this quantity is within the range 1,950 ±39 pounds.

Step-by-step explanation:

8 0

2 years ago

Which equation illustrates the identity property of multiplication?

Elan Coil [88]

The multiplicative identity property states that any time you multiply a number by 1, the result, or product, is that original number. D is the correct answer.

3 0

2 years ago

Read 2 more answers

Which represent geometric sequences? Check all that apply.

Anon25 [30]

The sequence that represents a geometric sequence can be seen in the 1st option and the 4th option in the image attached.

<h3>What is a geometric sequence?</h3>

A geometric sequence is a set of integers that follows a pattern in which the following term is determined by multiplying the previous one by a factor known as the common ratio (r).

$\mathbf{a_n = a_{n-1}\times r}$ or $\mathbf{a_n = a_{1}\times r^{n-1}}$

$\mathbf{a_2 = a_{2-1}\times r}$

$\mathbf{a_2 = a_{1}\times r}$

$\mathbf{ r= \dfrac{a_2}{a_1}}$

From the options given, the options that have geometric sequences are:

3/16, 3/8, 3/4, 3/2

r = (3/8)/(3/16) = (3/4)/(3/8) = 2 (proves that it is a geometric sequence)

3, 9, 27, 81
r = 9/3 = 27/9 = 3 (proves that it is a geometric sequence)

Learn more about geometric sequence here:

brainly.com/question/1509142

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4 0

2 years ago

PLEASE HELP !!!!!!!!!! WILL FOLLOW

antoniya [11.8K]

Answer:

1/12

Step-by-step explanation:

2/3=8/12

2x4=8

3x4=12

1/4=3/12

1x3=3

4x3=12

8/12+3/12=11/12

1-11/12= 1/12

8 0

3 years ago