A training field is formed by joining a rectangle and two semircles, as shown below. The rectangle is 99 m long and 70 m wide. What is the length of a training
track running around the field? (Use the value 3.14 for and do not round your answer. Be sure to include the correct unit in your answer.)

Answer:

11.46 inches

Step-by-step explanation:

C = 2πr

72 = 2(3.14)r

r = 72/6.28

r = 11.46

Answer:

1320 will be in the account in 20 years.

Step-by-step explanation:

600 x 6%

600 x 6/100 = 36 interest annually .

20 x 36 = 720.

720 + 600 = 1320.

The solution is, square root of 225/16  is 15/4.

A square root of a number is a value that, when multiplied by itself, gives the number. In mathematics, a square root of a number x is a number y such that y² = x; in other words, a number y whose square is x.

For example, 4 and −4 are square roots of 16, because 4² = ² = 16.

here, we have,

225/16

=15^2/4^2

so, square root of 225/16

=√15^2/4^2

=15/4

Hence, The solution is, square root of 225/16  is 15/4.

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Answer:

i need to get the full question, then i can help u. goodluck :)

Step-by-step explanation:

Answer:

B. 24

Step-by-step explanation:

Formula for area of a rectangle: base × height/ length × width

To find the height, divide the area by the base.

[tex]96/4=24in[/tex]

[tex]formula=base *height/length*width[/tex]

[tex]4*24=96in^2[/tex]

Answer:

No picture try uploading it again and I can see if I can help you

Answer:

2/7

Step-by-step explanation:

Answer:

5/12

Step-by-step explanation:

All the beans are equally likely to be chosen, so the bottom (denominator) of the fraction is 12 (there are 12 beans in the box).

The numerator is 5 because that's the number of red beans in the box.

Answer:

She has 140 coins in total.

Step-by-step explanation:

Since 7 coins is only 5% of the entire collection, 7 coins=5%. 100% is the total. So first you need to divide 100 by 5 which is 20 (100÷5=20). Next, you need to multiply 20 by 7 (20×7=140) to find out how much coins she has in total.

Hope this helps you!

Answer:

24 I think..

Step-by-step explanation:

a^2 + b^2 = c^2

32^2 + b^2 = 40^2

b^2 = 1600 - 1024

b^2 = 576

b = 24

Answer:

what line i swear if u tell me i can answer just comment

Step-by-step explanation:

Answer:

A rate of change is a rate that describes how one quantity changes in relation to another quantity. If x is the independent variable and y is the dependent variable, then. rate of change=change in y change in x. Rates of change can be positive or negative.

Step-by-step explanation:

Answer:

A rate of change is a rate that describes how one quantity changes in relation to another quantity. If x is the independent variable and y is the dependent variable, then. rate of change=change in y change in x. Rates of change can be positive or negative.

Step-by-step explanation:

Answer:

Mean =  sum of the terms/ number of terms

Median is the middle number of the data

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

The answers are given in the solution below.

A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.

Given is topics related to circle and its part we need to answer the question asked,

1) to 7) Given is a circle T,

a) Radius = TS, QT and RT all are the radius

b) Diameter = QS

c) Chord = PS

d) Central angle = ∠ RTQ

e) Minor arc = arc QR

f) Major arc = arc QSR

g) Semicircle = QPS

8) to 9) :-

a) Circle with radius 18 in :-

Circumference = 2π×radius = 2×3.14×18 = 113.04 in

Area = π·radius² = 3.14×18² = 1017.36 in²

b) Circle with diameter 25 m :-

Circumference = 2π×radius = 2×3.14×12.5 = 78.5 m

Area = π·radius² = 3.14×12.5² = 490.625 m²

10) The circle is having an area of 201.06 cm², we need to find the circumference and diameter,

Area = π·radius² = 201.06 cm²

radius² = 201.06 / 3.14

= 64

radius = 8 cm

Diameter = 16 cm

Circumference = 2π×radius = 2×3.14×8 = 50.24 cm

11) :-

Circle with radius P :-

The rule we will use here is :- arcs equal to central angle opposite to it, and full circle measures 360°

a) ∠ KPL = 90°

So, by linear pair sum, ∠ NPL = 90°

Now, by angle substitution law, ∠ NPM + ∠ MPL = 90°

∠ NPM = 27°

By using vertical angles rule, ∠ JPK = ∠ NPM = 27°

Therefore, arc JK = 27°

b) arc NJ = 180° - 27° = 153°

c) arc JL = 90°+27° = 117°

d) arc KNM = 360°-(90°+63°) = 207°

e) arc MJL = 360°-63° = 297°

f) arc JLK = 360°-27° = 333°

12) :-

arc CD + arc AD = 180°

Therefore,

19x-49°+5x+37° = 180°

24x-12 = 180°

24x = 192°

x = 8

Therefore,

arc CD = 5x+37 = 74°

13) :-

Length of an arc = central angle / 360° × 2π×radius

= 232° / 360° × 2 × 3.14 × 5 = 20.23 mm

14) :-

= 73° / 360° × 2 × 3.14 × 14.5 = 18.46 ft

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Answer:

3,266.53

Step-by-step explanation:

i looked it up :)

Answer:

AC = 11.4

Step-by-step explanation:

6/sin 23 = AC/sin 132

6 sin 132/sin 23 = AC

AC = 11.4

Answer:

64

you are distrbuting  both the 8 which =64

Step-by-step explanation:

See the steps below:)

Answer:

Step-by-step explanation:

8(5+3)

You distribute what's in the Parentheses

8 x 5 = 40 and 8 x 3 = 24

40+24 = 64

Answer:

60

Step-by-step explanation:

All angles have to add up to 180

180/3 equals 60

Answer:

X= 60

Step-by-step explanation:

180÷3=60

gr yydaerhiopljteeqasf

7

because the answer is 7

Answer:

A. The scale factor is three.

B. Nine copies of ABCD could fit in A'B'C'D'.

Step-by-step explanation:

Hope this helps! Have a nice day! Let me know if you need an explanation!

Answer:

80

Step-by-step explanation:

This is calculated as:

(Number of ducks with bands × Number of examined ducks)/ Number of ducks found with leg band

= Number of ducks with bands = 12 ducks

Number of examined ducks = 20 ducks

Number of ducks found with leg band = 3 ducks

Hence:

12 × 20/3

= 240/3

= 80 ducks

Therefore, 80 ducks used the ponds

Answer:

49

Step-by-step explanation:

34 + 3 * 5

34 + 15

49

have a good day! :)

Answer:

49

Step-by-step explanation:

34+15

Answer:

Value of x --> 15°

Step-by-step explanation:

(2x + 60°) and 6x lie on a straight line. So, they form a linear pair. Their sum gives 180°.

---> (2x + 60°) + 6x = 180°

     2x + 60° + 6x = 180°

     8x + 60° = 180°

     8x = 180°- 60°

     8x = 120

      x = [tex]\frac{120}{8}[/tex]

Answer:

1/3

Step-by-step explanation:

13/39 = 1/3

Answer:

It is 1/3

Step-by-step explanation:

because 13/39=1/3

Answer:

if I had to guess I whould say i

Answer: [tex]-\dfrac{2\sqrt{14}}{9}[/tex]

Step-by-step explanation:

Given

[tex]\cos a=\dfrac{5}{9}[/tex]

[tex]a[/tex] lies in the fourth quadrant

So, sine must be negative in the fourth quadrant

Using identity [tex]\sin ^2 x+\cos^2 x=1[/tex] to find sine value

[tex]\Rightarrow \sin^2 a=1-\dfrac{5^2}{9^2}[/tex]

[tex]\\\\\Rightarrow \sin^2 a=1-\dfrac{25}{81}\\\\\\\Rightarrow \sin^2 a=\dfrac{56}{81}\\\\\\\Rightarrow \sin a=-\sqrt{\dfrac{56}{81}}\\\\\\\Rightarrow \sin a=-\dfrac{2\sqrt{14}}{9}[/tex]

Answer:

Tn = 3n + 1

Step-by-step explanation:

The given sequence 2,5,8,11,14 is an arithmetic sequence

The nth term of an arithmetic sequence is expressed as;

Tn = a + (n-1)d

a is the first term

d is the common difference

n is the number of terms

Given

a = 2

d = 5-2 = 8-5 = 3

Substitute into the formula

Tn = 2 + (n-1) * 3

Tn = 2 + 3n - 3

Tn = 3n + 1

This gives the term rule for the sequence  

For parts 1 and 2, you'll need to find a way to gather these data points, either by measuring them yourself or by asking your friends. Another option is to search out "Census at School", with quotes, and it will lead you to spreadsheets of data on this sort of thing (that some researchers have already done previously).

In short, the answers to parts 1 and 2 will vary depending on what the actual data values you collect. So I'm not much help here in this case.

============================================================

Part 3

Part A

In this case, we have x = 17 as the length of the person's forearm in inches. We'll plug it into the given regression equation to find an estimate of y

y = 0.860x + 3.302

y = 0.860*17 + 3.302

y = 14.62 + 3.302

y = 17.922

The person's foot is approximately 17.922 inches long

Rounding to the nearest whole number, this is approximately 18 inches

Note: 18 inches = 12 in + 6 in = 1 ft, 6 in = 1.5 ft

------------------

Part B

Unfortunately I can't help with this part either because I don't know what data set you're working with. So it all depends on how you do parts 1 and 2.  You shouldn't get the same exact values, but you should get close to the average.

Answer:

i'd say its a rhombus (C)

Step-by-step explanation:

i have this question on my exam on edg. and that is the answer i came up with after reviewing the image that was provided on the exam.

other people say that its a quadrillateral that is a parallelogram but i drew out the shape and the lines were intersecting. so its probably not A. :)

Jesus is King!!

Answer:

[tex]4(x+3)=4(x-3)[/tex]

It is equivalent to an equation that has the same variable terms but different constant terms on each side of the equal sign.