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Aleonysh [2.5K]
2 years ago
8

Quadrilateral WXYZ has the coordinates W(b, b), X(4b, b), Y(3b, 0), and Z(0, 0).

Mathematics
1 answer:
AnnZ [28]2 years ago
7 0

The length of side WX in Quadrilateral WXYZ is 3b units.

<h3>Coordinate plane</h3>

The distance between two points A(x₁, y₁) and B(x₂, y₂) on the coordinate plane is given by:

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

Given the coordinates W(b, b), X(4b, b), Y(3b, 0), and Z(0, 0). The length of WX is:

WX=\sqrt{(b-b)^2+(4b-b)^2}=3b

The length of side WX in Quadrilateral WXYZ is 3b units.

Find out more on coordinate plane at: brainly.com/question/26100648

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Step-by-step explanation:

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The area of a semi circle is 20
alisha [4.7K]

Answer:

A = 157 in^2

Step-by-step explanation:

First, we need to get the radius, we can do this by dividing our given diameter by 2.

20/2 = 10

Now, we have our radius of 10 inches.

Formula for Area of a Semi Circle: (1/2)(pi(r^2)

Input values.

(1/2)(3.14(10^2)

Solve.

(1/2)(3.14(100)

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3 0
3 years ago
Read 2 more answers
1) The deer population in a national park is expected to decline over time. The park
Lorico [155]

Answer:

Here's what I find.

Step-by-step explanation:

You have 800 deer at the end of Year 1, and you expect the population to decrease each year thereafter.

a) i) The recursive formula

Let dₙ = the deer population n years after the initial measurement.

d_{n} = d_{n - 1}r^{n}

For this situation,

d_{n} = d_{n - 1}(0.5)^{n}

a) ii) Definitions

n = the number of years from first measurement

r = the common ratio, that is, the deer population at the end of one year divided by the population of the previous year.

a) iii) First term of sequence

The first term of the sequence is d₀, the population when first measured.

b) The function formula

The formula for the nth term of a geometric series is

d_{n} =d_{0}r^{n - 1}

c) Value of d₀

Let n = 2; then d₂ = 800

\begin{array}{rcl}800 & = & d_{0}(0.5)^{2 - 1}\\800 & = & d_{0}(0.5)\\\\d_{0} & = & \dfrac{800}{0.5}\\\\& =&\mathbf{1600}\\\end{array}

4 0
3 years ago
Tommy wants to buy a new bike. Tommy has $199, which is $35 less than he needs. Which equation or inequality represents the cost
malfutka [58]

Answer:

Option (d) is correct.

Step-by-step explanation:

The initial amount Tommy has = $ 199

The actual amount that Tommy needs to purchase bike = 199 + 35 = $ 234

This is the price of the bike.

This condition can be true from option (d).

From option (d)

119 < b + 35

Put b = 234 we get

119 < 234 + 35

119 < 269

Thus the condition satisfied. so option (d) is correct.

4 0
3 years ago
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