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3 years ago

Given the arithmetic sequence shown below, write a recursive rule for the sequence. -4,4,12, 20,

Mathematics

1 answer:

damaskus [11]3 years ago

8 0

We can see that the difference is 8 so we can write:

$a_n=a_{n-1}+8$

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A surveyor leave her base camp and drive 42 km on a bearing of 032, she then drive 28km on a bearing of 154.How far is she then

aleksklad [387]

Answer:

Step-by-step explanation:

The scenario is represented in the attached photo. Triangle ABC is formed. AB represents her distance from her base camp. We would determine BC by applying the law of Cosines which is expressed as

a² = b² + c² - 2abCosA

Where a,b and c are the length of each side of the triangle and B is the angle corresponding to b. It becomes

AB² = AC² + BC² - 2(AC × BC)CosC

AB² = 42² + 28² - 2(42 × 28)Cos58

AB² = 1764 + 784 - 2(1176Cos58)

AB² = 2548 - 1246.37 = 1301.63

AB = √1301.63

AB = 36.08 km

To find the bearing, we would determine angle B by applying sine rule

AB/SinC = AC/SinB

36.08/Sin58 = 42/SinB

Cross multiplying, it becomes

36.08SinB = 42Sin58

SinB = 42Sin58/36.08 = 0.987

B = Sin^-1(0.987)

B = 81°

Therefore, her bearing from the base camp is

360 - 81 = 279°

8 0

2 years ago

Please help me quick ASAP!!!!!! Help me with all the questions!!!!!!!!

Verdich [7]

1. A
2. A
3. 144 in^2
4. 128 cm^2
5. 169 cm^2

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3 years ago

Read 2 more answers

The bike portion of an ironman competition is 112 miles. Your friend says that if you continue to bike at this pace, you will be

Roman55 [17]

We have no clue because you have not said what the speed/pace is. At a speed of 17.23 mph you will bike 112miles in 6.5 hours.

5 0

2 years ago

Please help me fast I still nee to finish 2 more ixl's by monday!!!!

sleet_krkn [62]

Answer:No

Step-by-step explanation:

Given system of equation is:

2x + 3 = y

2x + y = 15

To check whether (2,7) is solution to this system or not, we will put x=2 and y=7 in both equations.

Putting x=2 and y=7 in Eqn 1

2(2) + 3 = 7

4 + 3 = 7

7 = 7

Thus the ordered pair satisfies the equation

Putting x=2 and y=7 in Eqn 2

2(2) + 7 = 15

4 + 7 = 15

11 ≠ 15

The ordered pair do not satisfy the second equation.

Hence,

(2,7) is not a solution to the given system of equations.

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2 years ago

Please help me this is for 95 points

uranmaximum [27]

Y=12
The angles are 45°, 114°,105°,96° & 84°

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2 years ago

Given the arithmetic sequence shown below, write a recursive rule for the sequence. -4,4,12, 20,​

Given the arithmetic sequence shown below, write a recursive rule for the sequence. -4,4,12, 20,