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irinina [24]
3 years ago
14

See image for question.Please show workings and diagrams.​

Mathematics
1 answer:
ale4655 [162]3 years ago
3 0

Answer:

  • a) 7 km
  • b) 298°

Step-by-step explanation:

<em>See attached diagram (not to scale). </em>

<em>All given details reflected.</em>

a) <u>Find the measure of XZ using the law of cosines:</u>

  • y = √(5² + 3² - 2*5*3*cos 135°) =  7 km (rounded)

b) <u>Now using the law of sines find the measure of angle X:</u>

  • 7 / sin 135° = 5 / sin X
  • sin X = 5 sin 135° / 7
  • m∠X = arcsin (5 sin 135° / 7 ) = 28° (rounded)

<u>The bearing of Z from X is:</u>

  • 270° + 28° = 298°

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in a square garden plot (with an area of 400 sq ft)deer fencing priced at $1.50 per foot is to be installed around the plot. if
mina [271]

We have a square garden of 400 square foot.

The area of a square is:

A=x^2

where x: side length.

In this case:

\begin{gathered} A=400=x^2 \\ x=\sqrt[]{400}=20\text{ ft} \end{gathered}

The perimeter of the square is the sum of the lengths of the sides of the square. As they are all equal, we can write:

P=4x=4\cdot20=80\text{ ft}

The fencing is priced at $1.50 per foot. If we add the 7% sales tax to this price we get:

C=1.50\cdot(1+0.07)=1.50\cdot1.07=1.605\text{ \$/ft}

The fencing will be installed in all the perimeter (80 ft).

We can calculate the total cost by multiplying the sales price ($1.605 per foot) and the perimeter (80 ft):

F=C\cdot P=1.605\frac{\text{\$}}{\text{ft}}\cdot80\text{ ft}=\$128.40

Answer: the fencing will cost a total of $128.40

8 0
1 year ago
Can someone please help me with this
galina1969 [7]

Ooof, this is a lot! XD, anyway the answer are in the pictures.

8 0
3 years ago
Write the slope-intercept form of the equation of each line.
shtirl [24]

Answer:

12) y = -x + 8

11) y = 12x + 22

10) y = 5x - 4

9) y = -2x + 1

8) y = 2x + 9

7) y = 12x - 28

6) y = 1\frac{1}{3}x + 2

5) y = 4x - 2

4) y = x

3) y = 1\frac{2}{5}x - 7

2) y = 2x - 4

1) y = \frac{2}{3}x - 8

Step-by-step explanation:

12)

y - 4 = −(x - 4)

y - 4 = −x + 4

+ 4 + 4

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y = -x + 8

_______________________________________________

11)

y + 2 = 12(x + 2)

y + 2 = 12x + 24

- 2 - 2

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y = 12x + 22

_______________________________________________

10)

y - 1 = 5(x - 1)

y - 1 = 5x - 5

+ 1 + 1

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y = 5x - 4

_______________________________________________

9)

y - 5 = −2(x + 2)

y - 5 = −2x - 4

+ 5 + 5

___________

y = -2x + 1

_______________________________________________

8)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

+ 5 + 5

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y = 2x + 9

_______________________________________________

7)

y + 4 = 12(x - 2)

y + 4 = 12x - 24

- 4 - 4

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y = 12x - 28

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6)

4x - 3y = −6

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−3y = −4x - 6

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5)

4x - y = 2

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y = 4x - 2

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4)

x - y = 0

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−y = −x

y = x

_______________________________________________

3)

7x - 5y = 35

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−5y = −7x + 35

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−5 −5

y = 1\frac{2}{5}x - 7

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2)

2x - y = 4

-2x - 2x

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−y = −2x + 4

y = 2x - 4

_______________________________________________

1)

2x - 3y = 24

-2x - 2x

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−3y = −2x + 24

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−3 −3

y = \frac{2}{3}x - 8

I am delighted to assist you anytime.

5 0
3 years ago
Explain how to compare 0.7 and 5\8
alexandr402 [8]
You would first divide 5 by 8 to get 0.625.
Then you compare.
0.7 > 5/8 (0.625)
5 0
4 years ago
Read 2 more answers
A circular rug has a diameter of 2 feet. How much space does the rug take up on the floor?
____ [38]

Answer:

pi^2

Step-by-step explanation:

If the diameter of a circular rug is 2 feet, we can determine that the rug's radius is 1 foot. We can apply the formula to find the area of a circle

(pi*radius)^2 which would give us and answer of pi^2

8 0
2 years ago
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