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Irina-Kira [14]

3 years ago

15

You are building a rectangular dog pen with the length is twice as long as the width. You have 120 feet of fencing what are the

dimensions of the dog pen?

1 answer:

Yakvenalex [24]3 years ago

3 0

Answer:

Dimensions are 20 + 20 + 40 + 40

Step-by-step explanation:

You might be interested in

Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.

Alexandra [31]

Answer: y-axis.

Explanation:

The equation <span>r = 3 - 4 sin θ may be graphed using cartesian coordinates (i.e. x and y) or polar coordinates.

The logical way is to graph in polar coordinates. I did it using </span>a graphing software and obtained the attached graph.

Also, I attached the graph in cartesian coordinates.

Here you have a table that you can build by your self and use the pairs to draw the graph (either cartesian or polar coordinates).

<span> <span><span> θ (rad)    r = 3 - 4 sin θ </span> <span>

0               3 </span> <span>
π/8            2.61731657 </span>
<span> π/4    2.29289322 </span> <span>
3π/8    2.07612047
</span> <span> π/2            2
</span> <span> 5π/8    2.07612047 </span> <span>
3π/4    2.29289322 </span> <span>
7π/8          2.61731657 </span> <span>
π               3 </span> <span>
9π/8          3.38268343 </span> <span>
5π/4    3.70710678 </span> <span>
11π/8        3.92387953 </span> <span>
3π/2    4 </span> <span>
13π/8        3.92387953 </span> <span>
7π/4          3.70710678 </span> <span>
15π/8        3.38268343 </span> <span>
2π 3 </span> </span></span>

In both of the attached graphs you can see that the left side is equal to the right side, but the upper side is not equal to the bottom side.

Therefore, the graph is symmetric about the y-axis.

7 0

3 years ago

Read 2 more answers

Kamala's cell phone company will add -$5.75 to her next bill for each of the 4 months she was over charged, How much will be add

liq [111]

If it’s over the 4 months $23 I would say

3 0

3 years ago

Three numbers in the interval $\left[0,1\right]$ are chosen independently and at random. What is the probability that the chosen

k0ka [10]

Let $a,b,c$ be the randomly selected lengths. Without loss of generality, suppose $a[tex]P(A + B \ge C) = P(A + B - C \ge 0)$

where $A,B,C$ are independent random variables with the same uniform distribution on [0, 1].

By their mutual independence, we have

$P(A=a,B=b,C=c) = P(A=a) \times P(B=b) \times P(C=c)$

so that the joint density function is

$P(A=a,B=b,C=c) = \begin{cases}1 & \text{if }(a,b,c)\in[0,1]^3 \\ 0 & \text{otherwise}\end{cases}$

where $[0,1]^3=[0,1]\times[0,1]\times[0,1]$ is the cube with vertices at (0, 0, 0) and (1, 1, 1).

Consider the plane

$a + b - c = 0$

with $(a,b,c)\in\Bbb R^3$ . This plane passes through (0, 0, 0), (1, 0, 1), and (0, 1, 1), and thus splits up the cube into one tetrahedral region above the plane and the rest of the cube under it. (see attached plot)

The point (0, 0, 1) (the vertex of the cube above the plane) does not belong the region $a+b-c\ge0$ , since $0+0-1=-1$ . So the probability we want is the volume of the bottom "half" of the cube. We could integrate the joint density over this set, but integrating over the complement is simpler since it's a tetrahedron.

Then we have

$\displaystyle P(A+B-C\ge0) = 1 - P(A+B-C < 0) \\\\ ~~~~~~~~ = 1 - \int_0^1\int_0^{1-a}\int_{a+b}^1 P(A=a,B=b,C=c) \, dc\,db\,da \\\\ ~~~~~~~~ = 1 - \int_0^1 \int_0^{1-a} (1 - a - b) \, db \, da \\\\ ~~~~~~~~ = 1 - \int_0^1 \frac{(1-a)^2}2\,da \\\\ ~~~~~~~~ = 1 - \frac16 = \boxed{\frac56}$

5 0

1 year ago

How do you calculate distance

ValentinkaMS [17]

Answer:

d = st,

Step-by-step explanation:

Distance= speed times rate

8 0

2 years ago

Help me with IXL please

Schach [20]

Answer:

$95.48 was his commission

Step-by-step explanation:

First we need to find what the retail cost of the chest is. If it's marked up 150%, we use 763.84 + 1.5(763.84) which gives us a retail price of $1909.60. If Ben makes 5% on the sale as his commission, then we take 5% of 1909.60 which, in algebraic terms, looks like this: .05(1909.60) which is $95.48

5 0

3 years ago