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3 years ago

Helppppppppppp me please

Mathematics

1 answer:

Scilla [17]3 years ago

7 0

Answer:

18.85 rounded

Step-by-step explanation:

The length of an arc depends on the radius of a circle and the central angle Θ. We know that for the angle equal to 360 degrees (2π), the arc length is equal to circumference. Hence, as the proportion between angle and arc length is constant, we can say that:

L / Θ = C / 2π

As circumference C = 2πr,

L / Θ = 2πr / 2π

L / Θ = r

We find out the arc length formula when multiplying this equation by Θ:

L = r * Θ

Hence, the arc length is equal to radius multiplied by the central angle (in radians).

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Please help me with this question

Trava [24]

Applying the formula for the area of a sector and length of an arc, the value of k is calculated as: 27.

<h3>What is the Area of a Sector?</h3>

Area of a sector of a circle = ∅/360 × πr²

<h3>What is the Length of an Arc?</h3>

Length of arc = ∅/360 × 2πr

Given the following:

Radius (r) = 9 cm
Length of arc = 6π cm
Area of sector = kπ cm²

Find ∅ of the sector using the formula for length of acr:

∅/360 × 2πr = 6π

Plug in the value of r

∅/360 × 2π(9) = 6π

∅/360 × 18π = 6π

Divide both sides by 18π

∅/360 = 6π/18π

∅/360 = 1/3

Multiply both sides by 360

∅ = 1/3 × 360

∅ = 120°

Find the area of the sector:

Area = ∅/360 × πr² = 120/360 × π(9²)

Area = 1/3 × π81

Area = 27π

Therefore, the value of k is 27.

Learn more about area of sector on:

brainly.com/question/22972014

4 0

3 years ago

Is the following Inductive Generalization strong or weak? Apply and explain the three checks: 1. Is the appropriate group sample

arsen [322]

Answer:

For the reasons mentioned in the explanation section, it is indeed a weak generalization:

Step-by-step explanation:

No, there is not enough data provided on certain subjects' age, socioeconomic status, etc. that may have influenced the investing decision.
No, the survey isn't random, the study is irregular because each has a fair probability of expressing their true beliefs, here in this query it's written they've been told individuals are given actual medication, which may have contributed to the Hawthorne studies giving incorrect outcomes.
No, the amount isn't sufficient mostly on the premise of 28 subject areas with be provided oxytocin, and therefore only one test being performed should we not be able to determine the results to implement for certain persons including billions of populace, it would be a hurried generalization.

5 0

4 years ago

Order these objects from heaviest to lightest. (Note: 1 pound = 16 ounces, 1 kilogram ≈ 2.2 pounds ,and 1 Tom = 2,000 pounds) it

Leya [2.2K]

Answer:

Ordering of objects from heaviest to lightest are ⇒ <u> school bus weight 9 tons, elephant 5,500 kilograms, horse 1,100 pounds and grand piano 15,840 ounces.</u>

Step-by-step explanation:

Given:

School bus weight = 9 tons.

Horse = 1,100 pounds.

Elephant = 5,500 kilograms.

Grand piano = 15,840 ounces.

Now, order these objects from heaviest to lightest.

So, we need to take a common unit to order the items:

Thus, we take pounds as a common unit.

16 ounces = 1 pound.

1 kilogram = 2.2 pounds.

1 ton = 2,000 pounds.

Then, we calculate the weight of all items in pounds:

School bus 9 tons $=9\times 2000=18000\ pounds.$

Horse 1100 pounds $=1100\ pounds.$

Elephant 5500 kilograms $=5500\times 2.2=12100\ pounds.$

Grand piano 15840 ounces $=15840\div 16=990\ pounds$

According to question:

Ordering from heaviest to lightest:

<em>School bus = 18000 pounds, elephant = 12100 pounds, horse = 1100 pounds and grand piano = 990 pounds.</em>

Therefore, ordering of objects from heaviest to lightest are ⇒ school bus weight 9 tons, elephant 5,500 kilograms, horse 1,100 pounds and grand piano 15,840 ounces.

7 0

3 years ago

800 decreased by 45%

Dmitry [639]

Answer:

Equal to 440

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Ali sells tomatoes to 9 restaurants. each restaurants buys the same amount of tomatoes each day. suppose ali sells 162 pounds of

MariettaO [177]