in the opposite figure the unit of length is the centimeter
(the points O K and P are collinear )
(the points O B and A are collinear)
(KB) and (PA) are parallel

OK=X,OP=Y
KB=5
KP=6
and PA=8
CALCULATE THE LENGTH OP​

Answer:

Step-by-step explanation:

Average Speed = Total Distance / Total Time

Total Distance = 50+ 70 + 10 + 60 = 190 Miles

Total Time = 1 + 1 + 1/2 + 1/2 =  3 hours

Average speed = 190 / 3 = 63.3 mph

Answer:

4x60=240minutes

1 minute=60 seconds

Hence, 240 minutes=14400 seconds(240*60)

Answer:

[tex]x = 16[/tex]

Step-by-step explanation:

[tex] \frac{1}{2} (x + 8) - 16 = - 4[/tex]

[tex] \frac{1}{2} x + 4 - 16 = - 4[/tex]

[tex] \frac{1}{2} x + 4 = 12[/tex]

[tex] \frac{1}{2} x = 8[/tex]

[tex]x = 16[/tex]

Answer:

Step-by-step explanation:

[tex]\frac{1}{2}(x + 8 ) - 16 = - 4\\\\\frac{1}{2}*x + 8*\frac{1}{2} - 16 = -4\\\\\frac{1}{2}x + 4 - 16 = -4\\\\\frac{1}{2}x -12 = -4[/tex]

Add 12 to both sides

[tex]\frac{1}{2}x = -4 + 12\\\\\frac{1}{2}x = 8\\[/tex]

Multiply both sides by 2

[tex]x = 8*2\\\\x = 16[/tex]

Answer:

11.6 mi

Step-by-step explanation:

9.3^2+6.9^2 = 134.1

sqrt134.1 = approx 11.6

Answer:

c= 11.6 mi

Step-by-step explanation:

c =√(a²+b²)= √(9.3²+6.9²)= 11.6mi

Answer:

Center (7,2); Radius - Square Root of 10

Step-by-step explanation:

Equation for a Cricle:

(x−h)^2 + (y−k)^2 = r^2

Where:

h = x-coordinate of the center of the circle

k = y-coordinate of the center of the circle

r = radius of the circle

For this problem, your h = 7, k = 2, and r = square root of 10

Answer:

1

Step-by-step explanation:

You deposit $4000 in an account earning 4% interest compounded monthly. After 15 years, you will have approximately $7224.44 in the account.

To calculate the future value of an account with compound interest, we can use the formula:

Future Value = Principal * (1 + (Interest Rate / Number of Compounding Periods))^(Number of Compounding Periods * Time)

In this case, the principal (initial deposit) is $4000, the interest rate is 4% (or 0.04 as a decimal), and the compounding is done monthly, so there are 12 compounding periods in a year.

Substituting these values into the formula, we have:

Future Value = $4000 * (1 + (0.04 / 12))^(12 * 15)

Calculating this expression gives us:

Future Value ≈ $4000 * (1.003333)^180

Future Value ≈ $4000 * 1.806111

Future Value ≈ $7224.44

After 15 years, you will have approximately $7224.44 in the account, considering the given interest rate and compounding frequency.

For more such questions on deposit

https://brainly.com/question/29053212

#SPJ8

E⁣⁣⁣⁣xplanation i⁣⁣⁣⁣s i⁣⁣⁣⁣n a f⁣⁣⁣⁣ile

bit.[tex]^{}[/tex]ly/3a8Nt8n

Answer:

(2/3, 13/3)    (Exactly one solution)

Step-by-step explanation:

Write these equations in a column:

 x+y=5

2x-y=-3

Note that we can eliminate y immediately by adding these two equations together. We get:

3x = 2, so that x = 2/3.

Substituting 2/3 for x in the first equation, we get:

2/3 + y = 5.  Clear out fractions by multiplying all three terms by 3:

2 + 3y = 15, or 3y = 13.  Then y = 13/3, and the solution is

(2/3, 13/3)      There is exactly one solution.

Answer:

Hi! The answer to your question is One Solution.

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

7 5/9

Step-by-step explanation:

340/45 = 7 5/9

Answer:

7.6 pages

Step-by-step explanation:

Okie, so this is a standard unit rate problem, so what you're going to do is divide the number of whatever, in this case, pages, by the time, so:

340 ÷ 45 = 7.6 (rounded)

So you read 7.5 pages per minute

(which is pretty impressive if it's a chapter book)

hope this helps:)

Answer:

3) 7:8  7 to 8   4) 40/100 = 2/5   5) 60 mph   6) 300 kph   7) Jane  8) Jon can go faster

Step-by-step explanation:

5) 120/2 =60

6) 900/3 =300

7) Tim =50/5= $10 an hour

Jane= 24/2 =$12 an hour

Answer:

look at explanation, oh and pls give brainlist

Step-by-step explanation:

3.   7:8  [tex]\7\frac{7}{8}[/tex] ,7 to 8

4.  [tex]\frac{100 l}{40 w}[/tex], [tex]\frac{25}{10}[/tex], [tex]\frac{50}{20}[/tex]

5.  [tex]\frac{2 hrs}{120 m}[/tex], unit rate= 60 miles per hour, [tex]\sqrt[2]{120}[/tex]=60

6.  [tex]\sqrt[3]{900}[/tex]= 300, 300x3=900, unite rate= 300km per hour

7.  [tex]\frac{50}{5}[/tex]=[tex]\frac{10\\}{1}[/tex], unit rate for Tim= $10 for 1 hour, [tex]\frac{24}{2}[/tex]=[tex]\frac{12}{1}[/tex], unit rate for Jane= $12 for 1 hour, Jane has the higher rate of pay.

8. [tex]\frac{65}{4}[/tex]=[tex]\frac{16.25}{1}[/tex] , [tex]\sqrt[4]{65}[/tex]= 16.25, unit rate for Jon is 16.25ths of a pushup per minute.

[tex]\frac{45}{3}[/tex]=[tex]\frac{15}{1}[/tex], [tex]\sqrt[3]{45}[/tex]=15, unit rate for Paul is 15 pushups per minute.

Jon can do more pushups in 1 minute

Answer:

32 ounces of fruits

Step-by-step explanation:

Given that :

Number of distinct fruits purcahed = 6

Number of ounces of each fruit = 5 1/3

The total ounces of fruits purchased :

(Number of distinct fruits purchased * Number of ounces of each fruit)

6 * 5 1/3 = 6 * 16/3

6 * 16/3 = (16 * 6) / 3 = 96 /3 = 32 ounces of fruits.

Answer:

(x + 4)^2 + (y – 9)^2 = 25

Step-by-step explanation:

The standard form for a circle is

[tex](x - h)^{2} + (y - k)^{2} = r^{2}[/tex]     where (h, k) is the center and r is the radius

In your case, h = -4 and k = 9 and r = 5

So, (x + 4)^2 + (y – 9)^2 = 25

The equation for this circle is given as

[tex](x+4)^2 + (y-9)^2 = 25[/tex]

Data

The equation of circle is given by

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

Let's substitute our values and get our equation

[tex](x--4)^2 + (y-9)^2 = 5^2\\(x+4)^2 + (y-9)^2 = 25[/tex]

we substituted the values of h and k and made sure it's in the standard form of equation of a circle.

The equation for this circle is given as

[tex](x+4)^2 + (y-9)^2 = 25[/tex]

This looks exactly like

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

Learn more on equation of a circle here;

https://brainly.com/question/15214797

Answer:

50%

Step-by-step explanation:

if you look below girls (in total) bought 100 pepsi colas and thats half of the total (200)

Answer:

40 ft^2

Step-by-step explanation:

Think of the area of the green rectangle first. Then subtract the area of the smaller brown rectangles.

area of green carpet = 4 ft * 12 ft - 3 ft * 2 ft - 1 ft * 2 ft

area = 48 ft^2 - 6 ft^2 - 2 ft^2

area = 40 ft^2

Answer: 40 ft^2

Answer:

In(8x)=[In]8 + [In]x

Step-by-step explanation:

By product rule:

[tex]In(8x)=[In]8 + [In]x[/tex]

Answer:

Step-by-step explanation:

hello :

the arc length formula is : s = 2πr(θ/360°)

given : area :  s = 10 ,     radius  :   r = 10

2(3.14)(10)(θ/360°)=10 solve for : θ

2(3.14)(θ/360°)=1

θ = 360°/6.28

θ = 57°.32

Find the normal approximation to the chance that the face with six spots appears between 9, 10, or 11 times.

The exact chance that the face with six spots appears 9, 10, or 11 times?

my solution; in one roll of the die P(6 spots)=16 In 60 rolls of the die the expected number of times the face with 6 spots appears is given by E(X)=Mean=606=10 times.

SE(6spots)=SD=SQR(606⋅56)=2.8868

Applying the normal approximation to the chance that the face with six spots appears 10 times, I obtain the following: mean = 10

Standard deviation=2.8868

Using the continuity correction of 0.5 the following z-scores are found: z1=(9.5−10)/2.8868=−0.1732 and z2=(10.5−10)/2.8868=0.1732 Subtracting the cumulative probabilities for the two z-scores gives 0.5688−0.4312=0.1376 which is the approximate chance that the face with six spots appears 10 times. find the six spots appears between 9,10, or 11?

The exact chance that the face with six spots appears 10 times is found from

60C10(16)10×(56)50=0.137 find six spots appears 9, 10 or 11 times

Answer:

20 cm

Step-by-step explanation:

So from the problem we get that the two sides of the rctangle are 16 cm 12 cm which are base perpendicular of the right angle triangle. H = 20 cm. So the diagonal of the rectangle = 20 cm.

Answer:

20 cm

Step-by-step explanation:

Here's your solution

=> length of rectangle = 16 cm

=> width of rectangle = 12 cm

=> Diagonal of rectangle = √(l^2 + w^2 )

=> Diagonal = √(16^2 + 12^2)

=> Diagonal = √(256 + 144)

=>. Diagonal = √400

=> Diagonal = 20 cm

hope it helps

Answer:

If you meant: A = sin-1(2/10), A = 0.201

If you meant: A = sin(-12/10), A = -0.932

Step-by-step explanation:

Answer:

12x

Step-by-step explanation:

Answer:

c. 1/2

Step-by-step explanation:

7 out of 14 contestants did last time, which is 1/2 of the contestants.  You would assume that the same proportion would qualify when there are 10 contestants, so you would assume that 1/2 of 10 would also qualify for the bonus round.

Answer:

The answer of this question is,

The answer of first question is point 2 and the answer of second question is point 3, look at the picture

Answer:

psst whats wrong??

Step-by-step explanation:

Answer:

Order from greatest to least: 10.5, [tex]3\pi +1[/tex], [tex]\sqrt{105}[/tex]

Step-by-step explanation:

step 1 simplify each number

3π + 1  = 10.4247779

*round to the nearest tenth*

3π + 1 = 10.4

[tex]\sqrt{105} =10.2469507[/tex]

*round to the nearest tenth*

[tex]\sqrt{105} =10.2[/tex]

10.5 = 10.5

Now that we have simplified each number we can easily put them in order from greatest to least

10.5 is the greatest number

10.4 is the middle number

10.2 is the lowest number

so 10.5, 10.4, 10.2

Now we put them back in the original form

10.5 = 10.5

10.4 = 3π + 1

10.2 = [tex]\sqrt{105}[/tex]

Your answer is

10.5 , 3[tex]\pi[/tex] + 1, [tex]\sqrt{105}[/tex]

Answer:

5 hours

Step-by-step explanation:

distance = rate x time

t = time

(700-375) = 65t

325 = 65t

325/65 = t

5 hours = t