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sergey [27]
2 years ago
15

Old Farmer MacDonald wants to build a pen to keep his chickens in. He has 36 meters of fence and plans to make a rectangular pen

. Complete the chart to help Old MacDonald decide how to make his chicken pen so that he has the maximum area.

Mathematics
1 answer:
goldenfox [79]2 years ago
3 0

Answer:

2 = 18

4 = 9

6 = 6

8 = 4.5

10 = 3.6

12 = 3

14 = 2.57 (2.6 simplified)

16 = 2.25 (2.3 simplified)

Step-by-step explanation:

You can solve this by dividing 36 (the whole amount of meter of fences)

by each number of the length

area                    width

36 divided by 2 = 18

36 divided by 4 = 9

36 divided by 6 = 6

36 divided by 8 = 4.5

36 divided by 10 = 3.6

36 divided by 12 = 3

36 divided by 14 = 2.57 (2.6 simplified)

36 divided by 16 = 2.25 (2.3 simplified)

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(9x - 3) - (2x2 + 3x + 7)
Anni [7]

Answer:

8 - 6x

Step-by-step explanation:

just trust me the other guy's wrong

6 0
3 years ago
compute the projection of → a onto → b and the vector component of → a orthogonal to → b . give exact answers.
Nina [5.8K]

\text { Saclar projection } \frac{1}{\sqrt{3}} \text { and Vector projection } \frac{1}{3}(\hat{i}+\hat{j}+\hat{k})

We have been given two vectors $\vec{a}$ and $\vec{b}$, we are to find out the scalar and vector projection of $\vec{b}$ onto $\vec{a}$

we have $\vec{a}=\hat{i}+\hat{j}+\hat{k}$ and $\vec{b}=\hat{i}-\hat{j}+\hat{k}$

The scalar projection of$\vec{b}$onto $\vec{a}$means the magnitude of the resolved component of $\vec{b}$ the direction of $\vec{a}$ and is given by

The scalar projection of $\vec{b}$onto

$\vec{a}=\frac{\vec{b} \cdot \vec{a}}{|\vec{a}|}$

$$\begin{aligned}&=\frac{(\hat{i}+\hat{j}+\hat{k}) \cdot(\hat{i}-\hat{j}+\hat{k})}{\sqrt{1^2+1^1+1^2}} \\&=\frac{1^2-1^2+1^2}{\sqrt{3}}=\frac{1}{\sqrt{3}}\end{aligned}$$

The Vector projection of $\vec{b}$ onto $\vec{a}$ means the resolved component of $\vec{b}$ in the direction of $\vec{a}$ and is given by

The vector projection of $\vec{b}$ onto

$\vec{a}=\frac{\vec{b} \cdot \vec{a}}{|\vec{a}|^2} \cdot(\hat{i}+\hat{j}+\hat{k})$

$$\begin{aligned}&=\frac{(\hat{i}+\hat{j}+\hat{k}) \cdot(\hat{i}-\hat{j}+\hat{k})}{\left(\sqrt{1^2+1^1+1^2}\right)^2} \cdot(\hat{i}+\hat{j}+\hat{k}) \\&=\frac{1^2-1^2+1^2}{3} \cdot(\hat{i}+\hat{j}+\hat{k})=\frac{1}{3}(\hat{i}+\hat{j}+\hat{k})\end{aligned}$$

To learn more about scalar and vector projection visit:brainly.com/question/21925479

#SPJ4

3 0
1 year ago
62. Height Kirsten places her surveyor's telescope on the top of
Solnce55 [7]

Answer:

21 feet

Step-by-step explanation:

Given :

Height of the tripod above the ground = 5 ft

Elevation = 8°

Distance of the tree from the tripod = 120 ft

Therefore from the figure, we can find the height of the tress as:

$\tan 8 ^\circ = \frac{BC}{AB}$

$0.1405  = \frac{BC}{120}$

∴  BC ≈ 16

Therefore, CE = BC+BE

                        = 16 + 5

                        = 21

Therefore the height of the tree is 21 feet.

4 0
3 years ago
Work out the value of 5x8 x 5-2/5x4
Alisiya [41]

Answer:

=6

Step-by-step explanation:

(5×8)×(5-2)/(5×4)

Numerator =40×3

=120

Denominator = 5×4

=20

simplifying 120/20

=6

5 0
3 years ago
Read 2 more answers
Please solve and show work! Thanks!
Mrac [35]

Answer:

6⅔ minutes

Or, 6 minutes 40 seconds

Step-by-step explanation:

X/10 + X/20 = X/T

(2X+X)/20 = X/T

3X/20 = X/T

3/20 = 1/T

T = 20/3

T = 6⅔ mins

6 0
3 years ago
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