A jogger is running around a 3/4 mile track and he has ran 2/3 around the track how far has the jogger traveled? THANKS!

Answer:

6

Step-by-step explanation:

Answer:

y = 5√3

x = 10√3

Step-by-step explanation:

From the given sides

Adjacent = 15

Opposite = y

Hypotenuse = x

Angle of depression = 30degree

Using the SOH CAH TOA identity

tan theta = opp/adj

tan 30 = y/15

y = 15tan30

y = 15(1/√3)

y = 15√3/3

y = 5√3

Similarly

cos theta = adj/hyp

cos 30 = 15/x

x = 15/cos30

x = 15 /√3/2

x = 30/√3

x = 30√3/3

x = 10√3

Answer:

5 apples cost = 150 /-

Step-by-step explanation:

Two apples cost = 60 /-

Then 1 apple cost = 60 ÷ 2

= 30

∴ 1 apple cost = 30 /-

Then 5 apples cost = 30 × 5

= 150

∴ 5 apples cost = 150 /-

Answer:

48pq².

Step-by-step explanation:

(4pq+3q)² - (4pq - 3q)²​

This is the difference of 2 squares so we can use the identity

a^2 - b^2 = (a - b)(a + b):

(4pq+3q)² - (4pq - 3q)²​

= (4pq + 3q - (4pq - 3q)(4pq + 3q + (4pq - 3q)

= (4pq + 3q - 4pq + 3q)(4pq + 3q + 4pq - 3q)

= 6q * 8pq

= 48pq².

Answer:

48pq²

Step-by-step explanation:

As we know,

(a + b)² = a² + 2ab + b²

and

(a – b)² = a² – 2ab + b²

So,

(4pq+3q)² - (4pq - 3q)²​

= [(4pq)² + 2 X 4pq² X 3q + (3q)²] – [(4pq)² -  2 X 4pq² X 3q + (3q)²]

= (16p²q² + 24pq²+ 9q²) – (16p²q² – 24pq²+ 9q²)

= 16p²q²+ 24pq²+ 9q² – 16p²q²+ 24pq² – 9q²

= 24pq² + 24pq²

= 48pq²

Answer:

( 2 − 1 ) ( 3 + 2 )

Step-by-step explanation:

6 ² + − 2

6x² + 4 - 3 -2

2 ( 3 + 2 )− 1 ( 3 +2 )

( 2 − 1 ) ( 3 + 2 )

Answer:

If x > 0 and y < 0, the point (x, y) must be located in Quadrant IV.

Hope it helps

Answer:

Volume of a cylinder = πr²h

Given

V=81π

r=3

find h

Making h the subject

h= V/πr² = 81π/π(3)²

h= 81/9

h= 9cm

Answer:

[tex]m || n \\ (4x - 11) + (5x + 20) = 180 \\ 9x + 9 = 180 \\ 9(x + 1) = 180 \\ x + 1 = 20 \\ x = 19 \\ \\ then \\ (4x - 11) = (2y + 19) \\ (4 \times 19 - 11) = (2y + 19) \\ 65 = 2y + 19 \\ 2y = 46 \\ y = 23[/tex]

Answer:

-17 9/26 - > -17.35 , -17.3 with the mark over  ,- [tex]\sqrt{300}[/tex]   , 172/10

Step-by-step explanation:

Convert all of these into decimals

- [tex]\sqrt{300}[/tex]  -> -17.32

-17 9/26 - > -17.35

172/10 -> 17.2

-17.3 with the mark over 3 is  ->- 17.3333

Now arrange

-17 9/26 - > -17.35 , -17.3 with the mark over  ,- [tex]\sqrt{300}[/tex]   , 172/10

Answer:

Step-by-step explanation:

Answer:D

Step-by-step explanation:

Answer:

I recommend trying this it explains how to do it and gives you the answer

Answer:16 , 22

Step-by-step explanation:

Given

Chris is six-year older than his sister

The sum of their ages is 38

Suppose the age of Chris sister is x

So Chris age is [tex]x+6[/tex]

the sum is

[tex]\Rightarrow x+x+6=38\\\Rightarrow 2x+6=38\\\Rightarrow 2x=32\\\Rightarrow x=16[/tex]

Chris age [tex]16+6=22\ \text{years}[/tex]

Chris sister  Kennedy's age [tex]16\ \text{years}[/tex]

Answer:

Mostly likely 12

Step-by-step explanation:

The higher the age, the more pages...

After a age you can see it goes up half of a row in the pages...

It is most likely 18 or 12...

More likely 12

Answer:

Step-by-step explanation:

Notice that both sides involve 7a - 2a, and both involve 4.  By the associative property the order in which the addends appear is immaterial; the left side therefore equals the right side.

Answer:

7a + 4 - 2a = 7a - 2a + 4

5a + 4 = 5a + 4

Step-by-step explanation:

7a + 4 - 2a = 7a - 2a + 4

​7a + 4 - 2a

Rearrange the terms.

7a - 2a + 4

Combine like terms.

5a + 4

The left side simplifies to 5a + 4.

7a - 2a + 4

5a + 4

The right side also simplifies to 5a + 4.

Answer:

B

Step-by-step explanation:

The standard form of a circle equation is:

(x - h)^2 + (y - k)^2 = r^2

where (h, k) is the center and r is the radius.

We can plug in the given values to get:

(x - 1)^2 + (y - 2)^2 = 3^2

This is the sam as option B

Answer:

multiply each number in sequence from that number to 1

Answer:

C.Multiply each number in sequence from that number to 1.

Step-by-step explanation:

Answer:

The equation for the speed of the train is: 162 = 3x

I think the speed of the train is 54 miles per hour

Step-by-step explanation:

We know that:

y = distance in miles

x = speed of train (miles/hour)

t = time traveled from the departing station (hours)

The equation: y = xt is given, we can therefore substitute the give values:

y = xt or tx

162 = 3x (This would be the equation)

Now we can find x by diving 3 on both sides of "="

162/3 = x

54 = x (This would be the speed of train)

Hope this helps!

Answer:

the diameter of Britain flag is given = 28mm

so the radius = 14mm

perimeter of the flag occupied = 2πr = (2×22/7×14) mm

= 88mm

area of the flag= πr^2 = (22/7 × 196) mm^2 = 616 mm^2

Hope it helps

Answer:

1/5 or 20%

All sectors have an equal area, so that means that all have an equal chance of being landed on. There is only 1 sector containing a ladybug out of all 5 sectors. That means you have a 1 out of 5 chances of landing on the ladybug if you spin once.

Answer:

24 students

Step-by-step explanation:

2/5 = x/60 ----->   24/60 = x/60  --->   24/60 = 24/60

Answer:

C) $160,500

Step-by-step explanation:

52,500×15=787,500

63,200×15=948,000

948,000- 787,500= 160,500

Answer:

Amplitude is the distance between the center line of the function and the top or bottom of the function, and the period is the distance between two peaks of the graph, or the distance it takes for the entire graph to repeat. Using this equation: Amplitude =APeriod =2πBHorizontal shift to the left =CVertical shift =D.

Answer:

okay

Step-by-step explanation:

Answer:

2/25

Step-by-step explanation:

It will be 20/400 + 12/400

=2/25

Answer:

2/25

Step-by-step explanation:

Solution given.

Volume of rectangular prism=2400cm³

area of base*height=2400cm³

For A

satisfied for all

for B

not satisfied for all

for C

not satisfied for all

for D.

not satisfied for all

Option A.is your answer.

Answer:

1.  X= 4

2.  X= 1

3. X= 3

4. X= 5

5. X= 7

6. X= -3/4

7. X= 6

8. X= 5

Step-by-step explanation:

Answer:

Look below :)

Step-by-step explanation:

1.x=4

2.×=1

3.x=3

4.x=5

5.x=7

6.x=-0.75

7.x=6

8.x=5

Hope this helps :)

Answer:

X=12

Step-by-step explanation:

Khan Academy