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Kazeer [188]
3 years ago
6

Pat walked around a circular track she knew that the distance across The center was 100 meters if she walked around the entire t

rack how far did she walk
Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
7 0

Answer:

314.16 m

Step-by-step explanation:

The distance across the track is 100 metres. This means that the diameter is 100 m.

The track is circular, so, we need the circumference.

The circumference of a circle is given as:

C = πD

where D = diameter

Therefore, the circumference of the track is:

C = π * 100 = 314.16 m

She walked a distance of 314.16 m

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bonufazy [111]

Answer:

C.

Step-by-step explanation:

Lateral Area formula: ph (perimeter x height)

4 0
3 years ago
Read 2 more answers
A couch, a love seat, and a chair cost $1565. The couch costs twice as much as the chair, and the live seat costs $400 more than
Naily [24]
Couch: 2x
love seat: 2x+400
chair: x
total amount: $1565
2x+2x+400+x=1565
5x+400=1565
5x=1165
x= 233
The cost of the chair is $233. The cost of the couch is $466. The cost of the love seat is $866.

Hope this helps!
7 0
3 years ago
How do a parameter and a statistic​ differ? Choose the correct answer below.
gayaneshka [121]

Answer:

B.

Step-by-step explanation:

A parameter is a summary measure computed to describe a characteristic of the population  and it involves the measurement  of all in the population numerically/quantitatively. e.g  Average of all the values measured in the population

A statistic is a measurement based on sample observations.

Examples of statistics constructed from a random sample : [ X_{1}.....X_{n}

(a) max(x_{1}....x_){n}

(b) Average of the observed values

(c) Range  = max - min

5 0
3 years ago
A recent poll of 1800 people showed that 35% believe gas prices will go down. Find the best point estimate of the proportion of
zhenek [66]
The sample proportion is a point estimate of the population proportion. Therefore we need to convert the given percentage to a decimal fraction to find the best point estimate.
35/100 = 0.35
The best point estimate is 0.35.

5 0
4 years ago
Read 2 more answers
Explain how to find the vertex of 2x^2+12x+16
Elina [12.6K]

The vertex form:

y=a(x-h)^2+k\\\\(h,\ k)-vertex

Use (a+b)^2=a^2+2ab+b^2\qquad(*)


2x^2+12x+16=2(x^2+6x)+16=2(x^2+2(x)(3))+16\\\\=2(\underbrace{x^2+2(x)(3)+3^2}_{(*)}-3^2)+16=2((x+3)^2-9)+16\\\\=2(x+3)^2+(2)(-9)+16=2(x+3)^2-18+16\\\\=\boxed{2(x-(-3))^2-2}\to h=-3,\ k=-2

<h3>Answer: (-3, -2).</h3>

Other method:

f(x)=ax^2+bx+c\\\\vertex:(h,\ k)\\\\h=\dfrac{-b}{2a},\ k=f(h)

We have

f(x)=2x^2+12x+16\\\\a=2,\ b=12,\ c=16

Substitute:

h=\dfrac{-12}{(2)(2)}=\dfrac{-12}{4}=-3\\\\k=f(-3)=2(-3)^2+12(-3)+16=2(9)-36+16=18-36+16=-2

<h3>Answer: (-3, -2).</h3>
5 0
4 years ago
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