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goldfiish [28.3K]
3 years ago
12

Please help!! What is the circumference of the circle?

Mathematics
1 answer:
xeze [42]3 years ago
3 0

Step-by-step explanation:

The circumference of a circle is the linear distance of a circle's edge.

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A dieter believes that the average number of calories in a homemade peanut better cookie is more than the average number of calo
zalisa [80]

The confidence interval formula is computed by:

Xbar ± Z s/ sqrt (n)

Where:

Xbar is the mean

Z is the z value

S is the standard deviation

N is the number of samples

 

So our given are:

90% confidence interval with a z value of 1.645

Sample size 40, 45

Mean 180, 179

Standard deviation 2, 4

 

So plugging that information in the data will give us a confidence interval:

For 1:

Xbar ± Z s/ sqrt (n)

= 180 ± 1.645 (2 / sqrt (40))

= 180 ± 1.645 (0.316227766)

= 180 ± 0.520194675

= 179.48, 180.52

For 2:

Xbar ± Z s/ sqrt (n)

= 179 ± 1.645 (4 / sqrt (45))

<span>= 179 ± 1.645 (0.596284794)</span>

therefore, the answer is letter b

8 0
3 years ago
Simplify the expression -3 devided by -2/5. A. -7 1/2 B. -1 1/5 C. 1 1/5 D. 7 1/2
Llana [10]

Answer:

D. 7 1/2

Step-by-step explanation:

-3 divided by -2/5

-(-3(-5/2)

-(-3 x 5/2)

-15/2

7 1/2

Hope it helps

7 0
3 years ago
Find the 92nd term of the arithmetic sequence 11, 19, 27,
fgiga [73]

Answer:

739

Step-by-step explanation:

a sub 92 = 11 + (92 - 1) * 8

a sub 92 = 11 + 728

a sub 92 = 739

5 0
3 years ago
Question 1
Ahat [919]

Answer: x = 22


Explanation:


1) Corresponding sides and correspoding angles of congruent triangles are equal.


2) When you name two congruent triangles the order of the vertices signal which sides and angles are congruents.


That triangle ABC is congruent to triangle DEF means that these are the corresponding parts, which are congruent to each other:


  • ∠A and ∠D are congruent
  • ∠B and ∠ E are congruent
  • ∠C and ∠F are congruent
  • Segment AB and segment DE are congruent
  • Segment BC and segment EF are congruent
  • Segment AC and segment  DF are congruent

In the figures, it is given that the segment DF measures (1/2)x  - 1 and the corresponding segment AC measures 10 units.


Hence, you set this equation: (1/2)x - 1 = 10


Solving for x:

  • (1/2)x = 10 + 1
  • (1/2)x = 11
  • x = 2(11)
  • x = 22 ← answer
5 0
3 years ago
A goat enclosure is in the shape of a right triangle. One leg of the enclosure is built against the side of the barn. The other
Sonbull [250]

Answer:

The lengths are

8 + 8[root]3 , 12 + 8[root]3 and 20 + 8[root]3.

Step-by-step explanation:

Let the side against the barn be xft

We were told that the adjacent side is 4ft more than the side against the barn. This means it has a length of (x + 4)ft.

Lastly, we are told that the hypotenuse is 8ft longer than the side along the barn I.e (x + 4 + 8)ft = ( x + 12)ft.

Since the three lengths form a triangle, the square of the hypotenuse equals the square of the adjacent side plus the square of the opposite side. This is the pythagoras' theorem.

Mathematically, this can be written as follows:

(x + 12)^2 = x^2 + (x + 4)^2

This yields x^2 + 24x + 144 = x^2 + x^2 + 8x + 16

x^2 + 24x + 144 = 2x^2 + 8x + 16

Rearranging this will yield:

x^2 - 16x - 128 = 0

Using the quadratic formula yields the following values for x :

8 - 8[root]3 and 8 + 8[root 3]

Since the first is negative, we discard it and the only correct value of x is 8 + 8[root]3

Now the other length is 12 + 8[root]3 and 20 + 8[root]3.

4 0
3 years ago
Read 2 more answers
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