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2 years ago

Translate the sentence into an inequality.

Mathematics

1 answer:

Fittoniya [83]2 years ago

6 0

Step-by-step explanation:

Butas ang bulsa-walang pera

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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

Ali runs five days a week at the local park's nature trail. The circular trail is 440 yards long. Each day that Ali runs, she ru

SpyIntel [72]

Answer:

15 miles

Step-by-step explanation:

12 * 440 = 5280 (yards every day)

5280 * 5 = 26400 (yards per week)

26400 *0.000568182 = 15 miles

8 0

3 years ago

Find k, the constant of proportionality, for the data in this table. Then write an equation for the relationship.

VashaNatasha [74]

Answer:

$k=\frac{32}{5}$ , $y=\frac{32}{5}x$

$k=6.4$ , $y=6.4x$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

Find the value of the constant of proportionality k

take any ordered pair from the data

For x=25, y=160

$k=\frac{y}{x}$

substitute the values of x and y

$k=\frac{160}{25}$

simplify

$k=\frac{32}{5}$

The linear equation is equal to

$y=\frac{32}{5}x$

$y=6.4x$

7 0

2 years ago

Write 0.0059 in scientific notation.

polet [3.4K]

Hi!

When we write a number in scientific notation, we write it like this:
N × $10^{x}$

N = a number between one and 10
x = negative if the decimal is moved to the right. positive if moved to the left.

Okay, so we need to move the decimal in the number <span>0.0059 to the right to make it between one and 10.
0.0059
00.059
000.59
0005.9
5.9

N = 5.9
5.9 </span>× $10^{-x}$

Since we moved the decimal to the right 3 times,
x = -3

5.9 × $10^{-3}$
^ the answer

Hope this helps! :)

7 0

3 years ago

Read 2 more answers

I have 12 Apple and I put the theme 6 baskets

sp2606 [1]

Answer:

you put 2 apples in each basket

Step-by-step explanation:

draw 6 baskets and put two apples in each one to add up to 12

7 0

3 years ago