Lin runs 8 laps around a track in 10 minutes.

Type the correct answer in each box below.

a. How many minutes per lap is that?
minutes

b. How many laps per minute is that?
laps

c. If Lin runs 18 laps at the same rate, how long does it take her?
minutes

Answer:

Total surface area = 536.6 cm²

Step-by-step explanation:

Surface area of the given figure = Area of rectangle (1) + Area of rectangle (2) + Area of rectangle (3) + Area of triangle (4) + Area of triangle (5)

Area of rectangle (1) = Length × Width

                                  = 10 × 15

                                  = 150 cm²

Area of rectangle (2) = 10 × 15

                                   = 150 cm²

Area of rectangle (3) = 10 × 15

                                   = 150 cm²

Area of triangle (4) = [tex]\frac{1}{2}(\text{Base)}(\text{Height})[/tex]

                               = [tex]\frac{1}{2}(10)(8.66)[/tex]

                               = 43.3 cm²

Area of triangle (5) = [tex]\frac{1}{2}(10)(8.66)[/tex]

                               = 43.3 cm²

Total surface area = 150 + 150 + 150 + 43.3 + 43.3

                               = 536.6 cm²

Answer:

subtracting the triangle on each side gives you the area of the overlapping section.

Step-by-step explanation:

Subtract the triangle on each side gives you the area of the overlapping section.

Example in photo:

Answer:

primero debemos resolver la ecuacion  sumamos 3d mas 10d luego pasamos el mumero 8 al otro lado entonces se convertira en negativo 8 el resulatdo de esta ecuacion sera 13d elevado al cubo =-8

13d^{3}=-8 entonces

entonces remplazamos en la formula cuadratica 3d=a  0=b  -8=c y lo rremplazas en la formula cuadratica

Step-by-step explanation:

First we must solve the equation we add 3d plus 10d then we pass the number 8 to the other side then it will become negative 8 the result of this equation will be 13d cubed = -8

13d 3 = - 8 then

then we replace in the quadratic formula 3d = a 0 = b -8 = c and you replace it in the quadratic formula

Answer: [tex]-4,-15;\ \left(-\dfrac{19}{2},-\dfrac{121}{4}\right)[/tex]

Step-by-step explanation:

Given

Function is [tex]F(t)=t^2+19+60[/tex]

Zeroes of the function are

[tex]t^2+19t+60=0\\\\\Rightarrow t=\dfrac{-19\pm\sqrt{19^2-4\times 1\times 60}}{2\times 1}\\\\\Rightarrow t=\dfrac{-19\pm \sqrt{121}}{2}\\\\\Rightarrow t=\dfrac{-19\pm 11}{2}\\\\\Rightarrow t=-4,-15[/tex]

Using completing the square method

[tex]y=t^2+2\times \dfrac{19}{2}t+\dfrac{19^2}{2^2}-\dfrac{19^2}{2^2}+60\\\\y=\left(t+\dfrac{19}{2}\right)^2+60-\dfrac{361}{4}\\\\y=\left(t+\dfrac{19}{2}\right)^2-\dfrac{121}{4}\\\\y+\dfrac{121}{4}=\left(t+\dfrac{19}{2}\right)^2\\\\\left(y-(-\dfrac{121}{4}\right)=\left(t-(-\dfrac{19}{2})\right)^2\\\\\text{The vertex is }\left(-\dfrac{19}{2},-\dfrac{121}{4}\right)[/tex]

Answer:

3/36 simplified is 1/12

Hope this helps!

Answer:

a is the answer

Step-by-step explanation:

y = ( x^2 +2x+ 5 )^6,

let u be equal to x^2 + 2x + 5

y = u^6 '

dy|du = 6u^5, du|dx = 2x + 2

dy|dx = dy|du × du|dx = 6u^5 ×( 2x + 2 )

= 2( x + 1) × 6u^5 = 12 ( x + 1 )( x^2 + 2x +5)^5

Answer:

87.92 cubic inches

Step-by-step explanation:

to find the volume of a cylinder the formula is V = [tex]\pi[/tex][tex]r^{2}[/tex]h

so first i squared 2

2x2= 4

i then multiplied 4 by the height (7)

4x7 = 28

then times 28 by pi (3.14)

28x 3.14 = 87.92

The volume of cylinder is  87.92 cubic inches

volume :

volume is the amount of space in a certain 3D object.

formula used to  find the volume of cylinder :

V  =  π × r^2 × h

as given ,

r = 2 inch

h = 7 inch

so ,

V = π × (2)^2 × 7

⇒  π  × 28

V =  87.92 cubic inches

Hence , the volume of cylinder is  87.92 cubic inches .

let as know more about volume here :

brainly.com/question/5961104?

#tag #SPJ2

Answer: Y= 7, X= 6

Step-by-step explanation:

Answer:

$ 44.352

Step-by-step explanation:

The bill of both of them was $36.96. And they gave a tip of 20%. So , the total amount paid will be ,

=> Amount = Bill + 20% of Bill

=> Amount = $36.96 + 20% of $ 36.96

=> Amount = $36.96 + 1/5 * $36.96

=> Amount = $36.96 + $7.392

=> Amount = $ 44.352

Answer:

$44.352

Step-by-step explanation:

Their bill = $36.96

Tip = 20% of $36.96

= 20/100 × 36.96

= $7.392

Hence, their total bill = $36.96 + $7.392

= $44.352

Answer:

A

Step-by-step explanation:

40 x 36 = 1440 in.2

18. 23 units

19. x = 1

Answer:

Step-by-step explanation:

[tex](10a^5b^4-15a^4b^5+5a^3b^3)\div(-5a^3b^3)=\dfrac{10a^5b^4-15a^4b^5+5a^3b^3}{-5a^3b^3}=\\\\\\=\dfrac{10a^5b^4}{-5a^3b^3}+\dfrac{-15a^4b^5}{-5a^3b^3}+\dfrac{5a^3b^3}{-5a^3b^3}=-2a^2b+3ab^2-1[/tex]

Answer:

Step-by-step explanation:

3). Adjacent

B). Cosine

Answer:

x≈4.1

Step-by-step explanation:

15.6/2=7.8

Use Pythagorean Theorem

7.8^2+x^2=8.8^2

60.84+x^2=77.44

x^2=16.6

x=√16.6≈4.1

Answer:

24 full weeks needed

Step-by-step explanation:

30 + 3x = 100

3x = 70

x = 23.333

24 weeks needed

Your answer will be 7 hope this helps

Answer:

Hi!

Question:I am thinking of two numbers. When I add them I get 14. When I take one from the other, I get 6. What is the larger number?

Answer: 7

Explanation: If you add 7+7 you get 14 if you take one from other you will get 6 (7-1=6)

Answer:

I'm not smart but I think 7.5

Answer:

D is the answer

Step-by-step explanation:

Answer:

x (23+12)= 280

Step-by-step explanation:

X=8

add 23 plus 12 which equals 35

then multiply 35 by 8

Hope it helps

Answer:

-x + 39 = 31

Step-by-step explanation:

You would subtract 39 which would make -8. Then you would divide by -1 (x) and your answer is:

x = 8

Answer:

m 2 = 33 degrees

m 4 = 24.555

Step-by-step explanation:

3/33 = (2) 5 - 1

35.44329 - 5 (4) = 3.8

Answer:

c is correct have a nice day

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

hope this helps with the problem

Answer:

C = 5+3x

Step-by-step explanation:

if its 3.00 per hour for x hours, you have to multiply 3 by x hours.

Step-by-step explanation:

[tex]\small\mathfrak\red{here \: is \: your \: solution...} \\ \\ \small\mathcal\purple{volume \: of \: hemisphere \: = (2 \div 3)\pi \: r ^{3 \: } .} \\ \\ \small\mathfrak\purple{radius \: of \: hemisphere \: = 6 \: cm.} \\ \\ \small\mathfrak\purple{volume \: of \: hemisphere \: = (2 \div 3)(22 \div7 ) \times 6 {}^{3} .} \\ \\ \small\mathfrak\purple{volume \: = 452.16 \: cm {}^{3} .} \\ \\ \huge\mathfrak\pink{hope \: it \: helps.}[/tex]

Answer:

Step-by-step-explination

Answer:

Sorry, I don't think there's enough information to solve the problem.

Step-by-step explanation:

Well, there's no numbers to say what the measures of the vertices are. Also, it seems like the question got cut out because the second sentence is incomplete.