A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 97m long and 66m wide. What is the length of a training track running around the field? (Use the value 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.)

Answer:

Find length opposite to 30deg

Opposite = tan(30)*42

= 24.2

Whole side = 24.2+10

Find angle of 0 + 30deg: (say x)

Tan(x) = 33.2/42

Arctan(0.79) = x

x = 38.3

The angle to find:

38.3-30:

8.3

The angle is 8.3deg.

Answer:

length: 7in.

width: 5in.

Step-by-step explanation:

so we know that 7*5 is 35 yes? since we already know the area, which is just l*w, and that 5 is two less that 7, we can conclude that the length is 7 and the width 5

hope this helps! lemme know if you need more

Answer: 239

Step-by-step explanation:

3x7=21

(16+5)x16=336, 336/2=168

5x10=50

add them all together to get 239

hope this helps!

Answer:

The value of sin theta is 5/13

Step-by-step explanation:

In the second quadrant, sin is positive and cos is negative

Cos theta = -12/13 = adjacent/hypotenuse

Sin theta = opposite/hypotenuse

opposite = sqrt(hyp² - adj²) = sqrt (13² - 12²) = sqrt (169 - 144) = sqrt (25) = 5

Sin theta = opposite/hypotenuse = 5/13

Answer:

(-3, 4)

Step-by-step explanation:

yeah

Answer:

osjdjaidbsojaanod

Answer:

Option A

then you would have an angle, a side and another angle (ASA) next to each other

Opt.B would be a second sude (SAS)

Opt.C is already given

Opt.D seems to be like (A-S-S). no pun intended.

The additional information need to be added to show the given triangles congruent is angle B = angle E

Triangles are said to be congruent if their corresponding sides and angles are congruent.

Given is a pair of triangles, Δ ABC and Δ DEF, in this angle A = angle D and AB = DE = 10,

We need to find one more reason to make them congruent by ASA rule,

In ASA rule of congruence, we have two corresponding angles congruent in the triangles and a side between them need to be congruent,

Here, the pair of two angles should be ∠ A and ∠ D and ∠ B and ∠ E, because the congruent sides AB and DE are in mid of them.

Hence, the additional information need to be added to show the given triangles congruent is angle B = angle E

Learn more about triangles congruent click;

https://brainly.com/question/22062407

#SPJ7

Answer:

The maximum is -3

and the third one -3<f(x)≤ -3

Step-by-step explanation:

Let's start by expanding the exponent

-(x+7)²= -(x²+14x+49)= -x²-14x-49

simplify

-x²-14x-49-3= -x²-14x-52

To find the maximum/minimum take the first derivative

-x²-14x-52= -2x-14

set this equal to 0

-2x-14= 0

x= -7

We then plug in x= -7 into the equation to find the y value

Because the coeficcent for the degree is negative (it's -1) this is a maximum

-(-7+7)²-3 = -3

Because -3 is the highest point the graph's range is -∞<f(x)< -3

Therefore the maximum i

Explanation:

Pythagorean Triples are sets of whole numbers for which the Pythagorean Theorem holds true. The most well-known triple is 3, 4, 5. This means that 3 and 4 are the lengths of the legs and 5 is the hypotenuse.

Answer:

16p^2 - 9

Step-by-step explanation:

Use FOIL method of multiplication

Answer:

the correct answer is

C.

StartFraction 12 Over 16 EndFraction = StartFraction 18 Over 24 EndFraction = StartFraction 3 Over 4 EndFraction

Answer:

[-25, ∞) , {y|y ≥ -25}

Step-by-step explanation:

^^^

Answer:

8 5/18

Step-by-step explanation:

3 5/6 + 4 4/9

Get a common denominator of 18

3 5/6*3/3 = 3 15/18

4 4/9 * 2/2 = 4 8/18

3 15/18 + 4 8/18

7 23/18

7 + 18/18 + 5/18

7+1+5/18

8 5/18

Answer:

[tex]8\frac{5}{18}[/tex]

Step-by-step explanation:

[tex]3\frac{5}{6} +4\frac{4}{9}[/tex]

6 = 2 × 3

9 = 3 × 3

LCM of 6 and 9

LCM = 2 × 3 × 3

LCM = 18

[tex]3\frac{15}{18} +4\frac{8}{18}[/tex]

[tex](3+4)+(\frac{15}{18} +\frac{8}{18})[/tex]

[tex]7+\frac{15+8}{18}[/tex]

[tex]7+\frac{23}{18}[/tex]

[tex]7+1\frac{5}{18}[/tex]

[tex]8\frac{5}{18}[/tex]

Answer:

m=5/2

Step-by-step explanation:

just did

Answer:

25, 32, 40 can not form a right angle triangle.

Step-by-step explanation:

By Pythagoras theorem,

⇒ (40)² = (25)² + (32)²

⇒ 1600 = 625 + 1024

⇒ 1600 ≠ 1689

Answer:

option b

Step-by-step explanation:

according to the pythagoras theorem to be right angled triangle the sum of square of two smaller sides must be equal to the square of hypotenuse.

so ,

20 and 21 are smaller sides and hypotenuse be 29

pythagoras theorem

a^2 + b^2 = c^2

20^2 + 21^2 = 29^2

400 + 441 = 841

841 = 841  (since both sides are equal it forms right angled triangle)

25 and 32 are smaller sides and 40 be hypotenuse

a^2 + b^2 = c^2

25^2 + 32^2 = 40^2

625 + 1024 = 1600

1649 = 1600 (both sides are not equal so it does not form right angle triangle)

30 and 72 are smaller sides whereas 78 is hypotenuse

a^2 + b^2 = c^2

30^2 + 72^2 = 78^2

900 + 5184 = 6084

6084 = 6084 (since both sides are equal it forms right angled triangle )

32 and 60 are smaller sides and 68 is hypotenuse

a^2 + b^2 = c^2

32^2 + 60^2 = 68^2

1024 + 3600 = 4624

4624 = 4624  (since both sides are equal it forms right angled triangle )

Answer:

in 10 weeks because if you multiply 62.50 10 times you get 625

Answer:

The answer is 10

I hope this helps

Answer:

288 po

Step-by-step explanation:

288 divided by 18 is 16

Answer:

20

Step-by-step explanation:

lol

Answer:

20

Step-by-step explanation:

Answer:

376.8

Step-by-step explanation:

Formula Volume Cone = πr² * h/3

Volume = 3.14 * 36 * 3 1/3

Volume ≈ 376.8

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer: 301.6

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

answer above isn't right this is, trust me.

Answer:

C. Better measure of center: the median

D. Better measure of spread: the Interquartile range

Answer:

22 sides total

Step-by-step explanation:

a hexagon has 6 sides, while a pentagon has 5 sides. In order to find out how many there are total, we would multiply each by two, and add them together.

[tex]2(6)+2(5)=\\12+10=22[/tex]

Answer:

a.) a² + b² + c ² + 2ab + 2ac + 2bc

b.) a² + b² + c² - 2ab - 2 ac + 2bc

c ) a² + b² + c² + 2ab - 2ac - 2bc

d.) a² + b² + c² - 2ab + 2ac - 2bc

Step-by-step explanation:

a) ( a + b + c )²

= a² + b² + c² + 2 × ab + 2 × ac + 2 × bc

= a² + b² + c ² + 2ab + 2ac + 2bc

b.) ( a - b - c )

= a² + ( - b )² + ( - c)² + 2a ( -b ) + 2a(-c) + 2(-b)(-c)

= a² + b² + c² - 2ab - 2 ac + 2bc

c.) ( a + b - c )²

= a² + b² + ( -c)² + 2ab + 2a ( - c) + 2 b( -c)

= a² + b² + c² + 2ab - 2ac - 2bc

d.) (a - b + c ) ²

= a² + ( -b)² + c² + 2a(-b) + 2ac + 2c( -b)

= a² + b² + c² - 2ab + 2ac - 2bc

Answer:

no bc pythagorean

Step-by-step explanation:

x=-6+2y

x=2+2y

by subtraction

___________________________

x=-8

Substitute x by one of the two equations :

x=-6+2y

-8=-6+2y

2y=-8+6

2y=-2

y=-2/2

y=-1

I think this is the answer

I hope I helped you^_^

Answer:

y=6.75x

Step-by-step explanation:

he xharges 6.75 per hour, so 6.75x equals the total price, y

Answer:

6

Step-by-step explanation:

9 and 2/5 is the equivilent to 9 and 4/10

9 4/10 - 3 4/10 = 6 0/10

Answer:3/4

Step-by-step explanation:

tan^2+1=sec^2