Michela is training for a race. She runs 5 miles in 52 minutes. Her goal is to run 6 miles in 1 hour. By how many minutes per mile must Michela decrease the rate to meet her goal? explain your reasoning.

Answer:

Step-by-step explanation:

sin(0) = 0/2

sin(30) = 1/2

sin(45) = [tex]\sqrt{2}[/tex]/2

sin(60) = [tex]\sqrt{3}[/tex]/2

sin(90) = [tex]\sqrt{4}[/tex]/2

cos(90) = 0/2

cos(60) = 1/2

cos(45) = [tex]\sqrt{2}[/tex]/2

cos(30) = [tex]\sqrt{3}[/tex]/2

cos(0) = [tex]\sqrt{4}[/tex]/2

notice that sin and cos repeat,   but in reverse

the answer for your questions is in there.  

Answer:

what's the question for this?

Answer:

x = 14

x + 23 < 37 ( move constant to right-hand side and change its sign)

x<37-23 ( subtract numbers)

x < 14

Answer:

C. -2

Step-by-step explanation:

All parallel lines have the same slope

Answer:

5/15

(1/3 if u want it simplified)

(about 33.3 % if you want percentage)

Step-by-step explanation:

6 + 4 + 5 = 15 total marbles

There are 5 blue marbles.

Answer:

sinB = 21/75

tanB = 21/22

Step-by-step explanation:

sinΦ = Height / Hypotenuse

tanΦ = Height / Base

Answer:

sin B = 7/25, tan B = 7/24

Step-by-step explanation:

sin = opposite / hypotenuse, tan = opposite / adjacent

Maybe I missed something but all I did was recreate your triangle and solve the trig ratios.

Step-by-step explanation:

1)

10(3) + 2(1) = 32/4 = 8 mph

2)

[3(1.5) + 0.5x]/2 = 4

(4.5 + 0.5x) = 8

0.5x = 3.5

x = 7mph

Answer:

About 207 inches

Step-by-step explanation:

The circumference of a circle is given by the formula ...

 C = πd . . . . . where d represents the diameter

The circumference of the tire is the distance the truck will move when the tire makes one revolution. That distance is ...

 C ≈ 3.1416×(66 in) ≈ 207.35

The truck will travel about 207 inches for each revolution of the tire.

Answer:

Step-by-step explanation:

w and d are the width and diagonal, respectively.

w = d/2 + 1 = (d+2)/2

Pythagorean theorem

w^2 + 8^2 = d^2

substitution

(d+2)^2/4 +64 = d^2

(d+2)^2 + 256 = 4d^2

d^2+4d+4 + 256 = 4d^2

3d^2-4d-260 = 0

Quadratic formula

d = [4±√( 4²-4(3)(-260))]/[2⋅3] = 10, -26/3

-26/3 is an extraneous solution, so d = 10 inches

w=d/2 +1 =6 inches

Ant‘s path = 8+6 = 14 inches

Beetle’s path = 10 inches

14 < 1.5(10)

Ant reaches food first.

Answer:

12π

is the correct answer

Answer: 2.25

Step-by-step explanation: This is because 2.25*40 is 90

Hope this helps and brainliest would be appreciated

Answer:

Equation of parabola:  8*(y - 2) = (x - 3)^2

or

y = (1/8)*(x - 3)^2 + 2

Step-by-step explanation:

focus at (3,4) and its directrix y = 0.

Focus equation:  (h, k + c) = (3, 4)

Directrix equation  y =  k - c = 0

so  h = 3,   k + c = 4,   k - c = 0

Solve  the system :  k + c = 4 and k - c = 0

add the equations together:     k + c + k - c = 4 + 0

2k = 4

k = 2

so   k + c = 4,    2 + c = 4,   c = 2

4c (y - k) = (x -  h)^2

4*2 *(y - 2) = (x - 3)^2

8*(y - 2) = (x - 3)^2

Answer:

Step-by-step explanation:

Answer:

all of the brackets first

Answer:

Step-by-step explanation:

Those consecutive angles must sum to 180 degrees.

7x+9+7y-4=180

7x+7y+5=180

7x+7y=175

x+y=25

x=25-y

We also have

11x-1+2y+5=180

11x+2y+4=180

11x+2y=176, using x=25-y that we found above makes this

11(25-y)+2y=176

275-11y+2y=176

-9y+275=176

-9y=-99

y=11, and since x=25-y

x=25-11

x=14

Finally

z+7x+9=180

z+7x=171

z=171-7x, we found that x=14 earlier so

z=171-7(14)

z=171-98

z=73

So the three values are

x=14, y=11, and z=73 degrees.

Answer:

I think it would be -12(x-y)?

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

simply

the square represents 90 degrees and 90 - 61 is 21

Answer:

x = 10

Step-by-step explanation:

3x - 5 = 2x + 5

3x - 5 + 5 = 2x + 5 + 5

3x = 2x + 10

3x - 2x = 2x - 2x + 10

1x = 10

x = 10

Answer:

I think A

Step-by-step explanation:

3x5=15-5=10

2×5+5=15

So x = 10

Is the closest

Answer:

only if I know how, otherwise I'll try and help

Step-by-step explanation:

9514 1404 393

Answer:

  (1, 55), (4, 220), (5, 275)

  times 55

Step-by-step explanation:

You know from life experience that the cost of tickets is often proportional to the number of tickets*. Here, you can check that by dividing the cost by the number of tickets for each of the table entries where both are given:

  110/2 = 55 = 165/3

This tells you the cost of 1 ticket is 55. It also tells you the cost of 4 tickets will be 4×55 = 220, and the cost of 5 tickets will be 5×55 = 275.

In short, the cost in dollars is the number of tickets times 55.

_____

* Your life experience will also tell you that sometimes there is a "processing fee" that makes the relation non-proportional. No such fee is evident here.

__

Alternate solution

Since the relation is proportional, you can find the cost of 1 ticket by dividing the cost of 2 tickets by 2: 110/2 = 55. You can find the cost of 4 tickets by doubling the cost of 2 tickets: 2×110 = 220. You can also find the cost of 5 tickets by adding the costs of 2 and 3 tickets: 110 +165 = 275.

9514 1404 393

Answer:

  b⁶

Step-by-step explanation:

The question tells you how to work it: use the relations you studied.

Here, you have the power of an expression with an exponent. The exponents multiply.

  [tex]\text{Rule: }(a^b)^c=a^{bc}\\\\\text{Appication: }(b^3)^2=b^{3\cdot2}=\boxed{b^6}[/tex]

_____

Additional comment

A coefficient is used to indicate repeated addition: 3x = x + x + x.

An exponent is used to indicate repeated multiplication: x³ = x·x·x.

This is still true when the exponent is applied to an expression with an exponent:

  (b³)² = (b³)(b³) . . . . the factor b³ is repeated 2 times as indicated by the exponent 2

Of course, each of these indicates repeated multiplication, so we really have ...

  (b³)(b³) = (b·b·b)·(b·b·b) = b·b·b·b·b·b

And this can be simplified using an exponent to show the repeated multiplication:

  = b⁶

Then, by going the long way around, we arrive at ...

  (b³)² = b⁶

Answer:

There is only one image

Step-by-step explanation:

Answer:

formula is 1/2 *b * h

so h=8m

b=8m

Step-by-step explanation:

b*h=

8*8=64*1/2=

64divided by 2= 32m²

Answer:

Two angles are called supplementary when their measures add up to 180 degrees.

Step-by-step explanation:

Answer:

That is called a supplementary angle

Step-by-step explanation:

Answer:

10 units

Step-by-step explanation:

Answer:

Step-by-step explanation:

Five students= 5x

They all got two more= 5x + 2(5)

5x + 10 = 30

     - 10    -10

5x = 20

    5

x = 4

Answer:

A. 78

Step-by-step explanation:

7 x 4 is the bottom and the bottom is the same as the top so I got 28 x 2 which is 56. 4 x 1 is one side. The other side is the same so I got 4 x 2 which is 8. 1 x 7 is the front and back. I got 7 x 2 is 14. i wrote 56 + 14 + 8 and got 78

hope this helps :)