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lyudmila [28]
3 years ago
9

Frank wants to put fencing around the border of his rectangular lawn shown. He needs 16 feet of fencing. What is the length of t

he lawn?
Mathematics
2 answers:
pochemuha3 years ago
5 0
There are manny answers to this
6ft, 6ft, 2ft, 2ft
5ft, 5ft, 3ft, 3ft
7ft, 7ft, 1ft, 1ft
 
ahrayia [7]3 years ago
3 0
You do length times width times height
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MissTica

Answer:

The surface area of the triangular prism is 84 square centimeters.

Step-by-step explanation:

The surface area of a figure is exactly what it means, the area of its outer surface or the added areas of each face that makes the figure.

Nets are a way to find surface area easier because it is an outline of the faces of the 3d figure.

But since we don’t have a net, we will just find the area of each face that forms this right triangular prism:

The two congruent triangular bases:

1/2 x 4 x 3 = 6 cm^2

6 x 2 = 12 cm^2

Lateral bottom rectangular face:

6 x 3 = 18 cm^2

Lateral to the right rectangular face:

5 x 6 = 30 cm^2

Lateral to the left rectangular face:

4 x 6 = 24 cm^2

Add up all the values:

12 + 18 + 30 + 24 = 84

The SA is 84 square centimeters

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3 years ago
This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive an
maxonik [38]

Answer:

5.0 ft-lbf

Step-by-step explanation:

The force is

F = \dfrac{9}{6^x}

This force is not a constant force. For a non-constant force, the work done, <em>W</em>, is

W = \int\limits^{x_2}_{x_1} {F(x)} \, dx

with x_1 and x_2 the initial and final displacements respectively.

From the question, x_1  =0 and x_2 = 12.

Then

W = \int\limits^{12}_0 {\dfrac{9}{6^x}} \, dx

Evaluating the indefinite integral,

\int\limits \dfrac{9}{6^x} \, dx  =9 \int\limits\!\left(\frac{1}{6}\right)^x \, dx

From the rules of integration,

\int\limits a^x\, dx = \dfrac{a^x}{\ln a}

9 \int\limits \left(\frac{1}{6}\right)^x \, dx = 9\times\dfrac{(1/6)^x}{\ln(1/6)} = -5.0229\left(\dfrac{1}{6}\right)^x

Returning the limits,

\left.-5.0229\left(\dfrac{1}{6}\right)^x\right|^{12}_0 = -5.0229(0.1667^{12} - 0.1667^0) = 5.0229 \approx 5.0 \text{ ft-lbf}

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3 years ago
Linear equation: -1
Anika [276]

Answer:

The right answer is:

the addition property of equality and then the division property of equality

Step-by-step explanation:

Given equation and steps to solve it are:

Step 1: –3x – 5 = 13

Step 2: –3x = 18

Step 3: x = –6

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Similarly in the third step, to remove -3 with x , division property of equality will be used i.e. dividing both sides by -3

Hence,

The right answer is:

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