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LiRa [457]
2 years ago
5

Amy cut 32 feet of chain into pieces that were each ft long. How many of these pieces did Amy have after cutting the chain?

Mathematics
2 answers:
hammer [34]2 years ago
7 0
If they are all a foot long then she should have 32 pieces of Chain
MrMuchimi2 years ago
3 0
128 I think bc Amy cut 32 feet of the chain
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Two boats left a base camp at bearing of S60°E and S50°W at speeds of 50km/h and 70km/h respectively. Find the distance between
ivolga24 [154]

Answer:

  • 197.93 km

Step-by-step explanation:

Let the base camp is point A and boats' locations after two hours are points B and C.

By connecting the three points together we get a triangle ABC with sides:

  • AB = 50*2 = 100 km
  • AC = 70*2 = 140 km

The angle between AB and AC is:

  • 60 + 50 = 110 degrees (opposite directions from south)

We are looking for the distance BC, which can be found by using the law of cosines:

  • BC² = AB² + AC² - 2AB*AC*cos ∠BAC
  • BC² = 100² + 140² - 2*100*140*cos 110°
  • BC²  = 39176.56 (rounded)
  • BC = √39176.56 = 197.93 km (rounded)

The distance between the boats is 197.93 km.

7 0
2 years ago
A rectangle has a perimeter of 165.4 kilometers and a height of 20 kilometers. What is the length of the base?
KATRIN_1 [288]

Answer: Follow the Steps Below.

Step-by-step explanation: Simply divide the area of the rectangle by its height to find its base. Other forms of solving for the base can be accomplished knowing diagonal length by simply taking the square root of the diagonal length squared minus its height squared.

5 0
3 years ago
Find the value of x, rounded to the nearest tenth <br> A. 24.5<br> B. 18<br> C. 16.1<br> D. 2
Strike441 [17]

Answer:

B. 18

Step-by-step explanation:

Given:

There are two chord in the circle.

These chords are divided in two segments.

Segments of 1 chord is 21 and 6.

Segments of 2 chord is x and 7.

Now by using Intersecting Chord Theorem which states,

"When two chords intersect each other inside a circle, the products of their segments are equal."

Hence from above theorem we can say that;

x\times7=21\times6\\7x = 126\\x= \frac{126}{7}\\x=18

Hence the Value of x is 18.

8 0
3 years ago
3x^5+6x^3<br><br> PRIME<br> b<br> 3x^4(3x + 2)<br> 3(x^5 + x^3)<br> d<br> 3x^3(x^2 + 2x)
Gelneren [198K]

Answer:

Im guessing 33(2+2)

8 0
2 years ago
A study was conducted to determine whether magnets were effective in treating pain. The values represent measurements of pain us
gregori [183]

Answer and Step-by-step explanation: The null and alternative hypothesis for this test are:

H_{0}: s_{1}^{2} = s_{2}^{2}

H_{a}: s_{1}^{2} > s_{2}^{2}

To test it, use F-test statistics and compare variances of each treatment.

Calculate F-value:

F=\frac{s^{2}_{1}}{s^{2}_{2}}

F=\frac{1.26^{2}}{0.93^{2}}

F=\frac{1.5876}{0.8649}

F = 1.8356

The <u>critical value of F</u> is given by a F-distribution table with:

degree of freedom (row): 20 - 1 = 19

degree of freedom (column): 20 - 1 = 19

And a significance level: α = 0.05

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Comparing both values of F:

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i.e. F-value calculated is less than F-value of the table.

Therefore, failed to reject H_{0}, meaning there is <u>no sufficient data to support the claim</u> that sham treatment have pain reductions which vary more than for those using magnets treatment.

4 0
3 years ago
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