You leave school and walk 1.237 miles west. Your friend leaves school and walks 0.56 miles east. How far apart are you and your friend? Justify your answer.

Answer:

see below

Step-by-step explanation:

If the two angles form a straight angle, their sum is 180

2x+50  + 6x+2 = 180

Combine like terms

8x +52 = 180

Subtract 52 from each side

8x+52-52 = 180-52

8x =128

divide each side by 8

8x/8 = 128/8

x =16

2x+50 = 2(16)+50 = 32+50 = 82

6x+2 = 6(16)+2 =96+2 = 98

Answer:

The boats will meet in 3.33 hours.

Step-by-step explanation:

The position of each boat can be modeled by a first order equation.

I am going to say that the first boat is at the position 0, and moving in the positive direction with a speed of 3 miles per hour. So

[tex]A(t) = 0 + 3t[/tex]

They are moving in oppositie directions, and initially are 30 miles apart. This means that the second boat starts at the position 30, and moves in the negative direction at the rate of 6 miles an hour. So

[tex]B(t) = 30 - 6t[/tex]

How soon will the boats meet?

This is t when:

[tex]A(t) = B(t)[/tex]

[tex]3t = 30 - 6t[/tex]

[tex]9t = 30[/tex]

[tex]t = \frac{30}{9}[/tex]

[tex]t = 3.33[/tex]

The boats will meet in 3.33 hours.

Answer:

Step-by-step explanation:

Let m be the mass of the vehicle

frictional force = μ mg

μ is coefficient of friction ,

deceleration = μ g

= .97 x 32

a = - 31.04 ft /s

v² = u² - 2 a s

0 = u² - 2 a s

u² = 2 a s

= 2 x 31.04 x 63

= 3911.04

u = 62.54 ft / s

Answer:

43mph

Step-by-step explanation:

Took the test

Answer:

1.55s

Step-by-step explanation:

The height equation of the projectile is given as;

h = -16t^2 + vt + s .......1

where;

t is the time in seconds,

v is the upward velocity at the start,

s is the starting height.

Given;

v = 70 ft/s

s = 5 ft

Substituting the values equation 1 becomes;

h = -16t^2 + 70t + 5

For the ball to reach 75 ft, h = 0

75 = -16t^2 + 70t + 5

-16t^2 + 70t + 5 - 75 = 0

-16t^2 + 70t - 70 = 0

solving the quadratic equation;

Time t = 2.83 s and t = 1.55s

Therefore, the ball will first reach 75 ft after 1.55 seconds.

Answer:

75

Step-by-step explanation:

because if you multiply 20 and 25 by 3 you get 60 and 75, 60 being the amount of seconds are in a second and 75 being your heartrate per minute.

Refer to the diagram below. We need to find the areas of the green and blue regions, then subtract to get the area of the orange track only.

The larger green region is composed of a rectangle of dimensions 200 meters by 4+42+4 = 50 meters, along with two semicircles that combine to make a full circle. This circle has radius 25 meters.

The green rectangle has area 200*50 = 10000 square meters. The green semicircles combine to form an area of pi*r^2 = pi*25^2 = 625pi square meters. In total, the full green area is 10000+625pi square meters. I'm leaving things in terms of pi for now. The approximation will come later.

The blue area is the same story, but smaller dimensions. The blue rectangle has dimensions 200 meters by 42 meters, so its area is 200*42 = 8400 square meters. The blue semicircular pieces combine to a circle with area pi*r^2 = pi*21^2 = 441pi square meters. In total, the blue region has area 8400+441pi square meters.

After we figure out the green and blue areas, we subtract to get the orange region's area, which is the area of the track only.

orange area = (green) - (blue)

track area = (10000+625pi) - (8400+441pi)

track area = 10000+625pi - 8400-441pi

track area = (10000-8400) + (625pi - 441pi)

track area = 184pi + 1600 is the exact area in terms of pi

track area = 2178.05304826052 is the approximate area when you use the pi constant built into your calculator. If you use pi = 3.14 instead, then you'll get 2177.76 as the approximate answer. I think its better to use the more accurate version of pi. Of course, be sure to listen/follow your teachers instructions.

Answer:

The area of this circle is [tex]176.74cm^2[/tex]

Step-by-step explanation:

The formula for the area of a circle is : [tex]\pi *radius^2[/tex]

The radius is the length from one side of the circle to the centre.

To work this out you would simply multiply pi by the radius of 7.5. squared. This gives you 176.74.

1) Multiply pi by 7.5 squared.

[tex]\pi *7.5^2=176.74cm^2[/tex]

In this question pi is to be 3.142

Answer:x^2 - 10x +21

Step-by-step explanation:

Answer:

7.06

Step-by-step explanation

i just searched for calculator put in the problem

Hope that helps :)

Answer:

2p + 2d = 39 ____________(1)

8p + 10d = 174.50 _________(2)

Price of one drink is $9.25

Step-by-step explanation:

Let the price of a bag of popcorn be p.

Let the price of a drink be d.

Brianna spends a total of $39.00 on 2 bags of popcorn and 2 drinks. This implies that:

2p + 2d = 39 ____________(1)

Ava spends a total of $174.50 on 8 bags of popcorn and 10 drinks. This implies that:

8p + 10d = 174.50 _________(2)

We now have two system of equations which we can use to find the price of a bag of popcorn and drink:

2p + 2d = 39 ____________(1)

8p + 10d = 174.50 _________(2)

Multiply (1) by 4 subtract from (2):

 8p + 10d = 174.50 _______(2)

- 8p + 8d = 156    __________(1)

        2d = 18.50

=>       d = $9.25

The price of one drink is $9.25

Answer:

9 (C)

Step-by-step explanation:

sqrt(15^2 - 12^2) =

sqrt(225 - 144) =

sqrt(81) =

9 (C)

Answer:

C. 9m

Step-by-step explanation:

Using the pythagorean theorem, you can find that the length of the last side is [tex]\sqrt{15^2-12^2}=\sqrt{225-144}=\sqrt{81}=9[/tex]. Hope this helps!

Answer:

1. r = -4

3. n=6

5. m = -5

7. x=0.66= [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

1.

-52=4(7+5r)

-52=28+20r

Subtract 20r from both sides

-20r-52=28

Add 52 to both sides

-20r=80

Divide both sides by -20

r = -4

3.

8(n-5)=-5n+38

8n-40=-5n+38

Add 5n to both sides

13n-40=38

Add 40 to both sides

13n=78

Divide both sides by 13

n=6

5.

-33+5m=2(1+6m)

-33+5m=2+12m

Subtract 12m from both sides

-33-7m=2

Add 33 to both sides

-7m=35

Divide both sides by -7

m=-5

7.

2(7x-2)=2(x+4)

14x-4=2x+4

Subtract 2x from both sides

12x-4=4

Add 4 to both sides

12x=8

Divide both sides by 12

x=0.66...

Answer:

Non-collinear points: These points, like points X, Y, and Z in the above figure, don't all lie on the same line. Coplanar points: A group of points that lie in the same plane are coplanar. Any two or three points are always coplanar. Four or more points might or might not be coplanar.

Step-by-step explanation:

Answer:

central tendency is the tendency for the values of a random variable 2 cluster round it's mean,mode amdedian

Step-by-step explanation:

it's also called center/location of the distribution

Answer:

288 ft.

Step-by-step explanation:

With each pedal turn, the tire rotates 3.4 times.  Thus, to answer this question we multiply the circumference of the wheel by 3.4:

3.4(27 in)(π) = 288 feet        

Answer:

1/10

Step-by-step explanation:

10 balls in the bag, there is one yellow

Answer:

answer 1/10

Step-by-step explanation:

Answer:

A.

I hope it helps

There were the most observations of female tokoeka kiwis in the given frequency table so option (A) will be correct.

A frequency table is a list of objects with the frequency of each item shown in the table.

The frequency of an occurrence or a value is the number of times it happens.

Given the frequency table of kiwi birds with their gender.

Number of female tokoeka kiwis = 44

Now if we look at the table there is none of any bird that is greater than 44 which means it is the most observations in the research.

Hence  "There were the most observations of female tokoeka kiwis".

To learn more about the frequency table,

brainly.com/question/12576014

#SPJ2

Answer:

80

Step-by-step explanation:

BECAUSE ON THE BOX PLOT ON HOW IT IS LOOK AT THAT LAST LINE AND LOOK HOW FAR IT GOES THATS HOW MUCH IT WOULD BE

Answer:

x = -1

Step-by-step explanation:

6x + 14 = 7 - x

Add x to each side

6x+x + 14 = 7 - x+x

7x+14 = 7

Subtract 14 from each side

7x+14-14 = 7-14

7x = -7

7x/7 = -7/7

x = -1

Corrected Question

Determine the values of a, b and c that make each equation true.

[tex](x^a)^6=\dfrac{1}{x^{30}} \\\\(x^{-7})^{-4}=x^b\\\\(x^{-2})^c=x^{22}[/tex]

Answer:

Step-by-step explanation:

To solve for a,b and c, we apply the following laws of indices

[tex]\dfrac{1}{p^m}=p^{-m} \\\\(a^m)^n=a^{m X n}\\\\$If p^m=p^n,$ then m=n[/tex]

Therefore :

Part 1

[tex](x^a)^6=\dfrac{1}{x^{30}}\\\\x^{a*6}=x^{-30}\\6a=-30\\$Divide both sides by 6\\a=-5[/tex]

Part 2

To solve for b

[tex](x^{-7})^{-4}=x^b\\x^{-7*-4}=x^b\\x^{28}=x^b\\$Since they have the same base\\b=28[/tex]

Part 3

To solve for c

[tex](x^{-2})^c=x^{22}\\x^{-2*c}=x^{22}\\$Just as in part 2, the two sides of the equality have the same base, therefore:\\-2c=22\\Divide both sides by -2\\c=-11[/tex]

Answer:

Two adjacent angles can be complementary

Step-by-step explanation:

if they add up to 90°. For example, a diagonal of a square will split the right angle into two equal angles; 45°+45°. In a right triangle, the altitude from a right angled vertex will split the right angle into two adjacent angles; 30°+60°, 40°+50°, etc.

Answer:

It stays a zero or it turns into whatever the b or a is

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

We have a right triangle with hypotenuse 10 and the height 8.  Either the one on the left or the one on the right

We can find the base using the Pythagorean theorem

a^2 + b^2 = c^2

a^2 +8^2 = 10^2

a^2  +64 = 100

Subtract 64 from each side

a^2 = 100 -64

a^2 = 36

Take the square root of each side

a = 6

Now a is 1/2 of the total base of the big triangle.  It is identical since the triangles are equal

x = 2 * a

x = 2*6 = 12

Answer:

x = 12

Step-by-step explanation:

Consider the right angle triangle with

base: x/2

height: 8

hypotenuse: 10

Using pythagoras theorem

10² = 8² + (x/2)²

(x/2)² = 100 - 64

(x/2)² = 36

x/2 = 6

x = 12

Answer:

a(n) = 2 + 2(n - 1)

Step-by-step explanation:

Since each new term is derived from the previous term by adding 2, this is an arithmetic sequence, and the "common difference"  is 2.

Then a(n) = 2 + 2(n - 1)

Answer: on else beans or torti

Answer:

t=4 hope this helps you out

Answer:T=4

Step-by-step explanation:

Answer: The answer is A. It is located at -25 and is to the right of point A on the number line.

Step-by-step explanation:

On a number line, the number ZERO is in the middle. The positive numbers increase to the right meanwhile the negative numbers increase to the left.

Answer:

I'll edit the answer and try to answer it, but where is the graph?

Answer:

C: g(x)= x- 3

Step-by-step explanation:

translated 3 units down means you go 3 down on the y-axis. Therefore it is g(x)= x-3