A and b have the same direction, and they both have a magnitude of 6. What must be true about a and b ? a. They are equal and parallel.
b. They are opposites, but not parallel.
c. They are opposites and parallel.
d. They are equal, but not parallel.

Answers

Answer 1
Answer:

Answer: Option a

They are equal and parallel

Step-by-step explanation:

If a and b have the same direction then necessarily a and b are parallel.

We know that they also have the same magnitude.

Two vectors are equal if they have the same magnitude and direction.

Then we can say that a and b are equal and we can also say that they are parallel.

Therefore the correct option is the option a

Answer 2
Answer:

Answer:

A

Step-by-step explanation:

Edge2021


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I Need Help PleaseKate has some dimes and quarters. If she has 32 coins worth a total of $5.30, how many of each type of coin does she have

Answers

I cant really explain mathematically I just used simple math basically but 4 quarters is $1 4×3.5=14. 14 quarters is $3.50 which means you have $1.80 left 10 dimes are in $1 10×18=180 -> $1.80 so to make $5.30 with 32 coins of dimes and quarter you would need 14 quarters and 18 dimes

Five girls share 4 sandwiches equally. What fraction of a sandwich does each girl get?

Answers

The fraction of a sandwich that each girl gets will be4/5

Number of sandwiches = 4

Number of girls = 5

Based on the question, we are given the information that they are going to share 4sandwich, therefore this will be:

= Number of sandwiches / Number of girls

= 4/5

Therefore, each of the children will only get 4/5 of a sandwich each.

In conclusion, the correct option is 4/5.

Read related link on:

brainly.com/question/1305058

number being shared/number it's being shared between = 4 sandwiches/5 girls = 4/5 of a sandwich per girl.

What is 0.3 in a fraction?

Answers


When you're reading out loud and you come to  " 0.3 ",
you say "three tenths".

"Three tenths" is the fraction " 3/10 ".

Help with these 2 questions please?? Check my answers. The height of a triangle is 13 in. less than its base. If the area of the triangle is 24 in2, what is the length of the base?

3 in.
10 in.<------
16 in.
21 in.




Madison hits a tennis ball with an initial velocity of 18 m/s straight up into the air. When she hits the ball, it is 1.2 m above the ground. Which equation can be used to find the time, t, it takes for the ball to reach the ground?

–4.9t2 + 18t + 1.2 = 0
–16t2 + 18t + 1.2 = 0<-------
–4.9t2 + 1.2t + 18 = 0
–16t2 + 1.2t + 18 = 0

Answers

1>
Let the base be "x"
According to the question, 

h = x - 13

A = 24 in sq.
Now,
Area of triangle =  (1)/(2)~b~h

24= (1)/(2)(x)(x-13)

24 *2= (x)(x-13)

48=   x^(2) - 13x

0=   x^(2) - 13x -48

Factorizing the equation,  x²  - 13x  -48, we get,

0=   x^(2)+3x - 16x -48

0=   x(x+3) - 16(x+3)

0=  (x + 3)(x-16)

NOW, using zero product property, we get,

Either,
x + 3 = 0 
     x = -3

Or,
x - 16 = 0
      x  = 16

Since, distance can't be negative, we have, x = 16 in.
So, the length of the base is 16 inches.

2>

umm...i don't know how to do it...can you post a picture of the same kind of (solved) question....i mean like an example


Two trucks leave a warehouse at the same time. One travels due south at an average speed of 59 59 miles per hour, and the other travels due north at an average speed of 62 62 miles per hour. After how many hours will the two trucks be 665.5 665.5 miles apart?

Answers

Answer:

5 hours 30 minutes

Step-by-step explanation:

Truck one is traveling south at 59 mph

It'd distance can be expressed as

   d = 59t         with d being the distance traveled, 59 is the speed, and t is

                        the number of hours it traveled for

Truck two is traveling north at 62 mph

It'd distance can be expressed as

   d = 62t         with d being the distance traveled, 62 is the speed, and t is

                        the number of hours it traveled for

We want their combined distance to be 665.5, so use the equation

  59t + 62t = 665.5    and solve for t

       121t = 665.5                  (combine like terms on the left)

         t = 665.5/121              (divide be 121 on both sides to isolate the

                                               variable)

            t = 5.5                     (simplify)

               t = 5 hours 30 minutes           (0.5 hours is 30 minutes)

Final answer:

Two trucks, traveling south and north at speeds of 59mph and 62mph respectively, will be 665.5 miles apart after 5.5 hours.

Explanation:

The two trucks are moving in opposite directions, south and north, and the correct way to find the total distance between the two is by adding their speeds. So, the combined speed of the two trucks is 59 miles per hour (mph) + 62 mph = 121 mph. To find the time it will take for the trucks to be 665.5 miles apart, we need to divide the total distance by their combined speed. So, the time is 665.5 miles / 121 mph = 5.5 hours. Meaning it will take 5.5 hours for the two trucks to be 665.5 miles apart after leaving the warehouse.

Learn more about Distance and Time here:

brainly.com/question/35869086

#SPJ2

The function f(x) = 4(3)x represents the growth of a dragonfly population every year in a remote swamp. Erin wants to manipulate the formula to an equivalent form that calculates four times a year, not just once a year. Which function is correct for Erin's purpose, and what is the new growth rate?

Answers

Answer:

f(x) = 4(1.32)^x  function is correct for Erin's purpose and the new growth rate is 32%

Step-by-step explanation:

Growth rate function: a(1+r)^x--A

where r is the rate of growth

We are given that The functionf(x) = 4(3)^x represents the growth of a dragonfly population every year in a remote swamp.

Now Erin wants to manipulate the formula to an equivalent form that calculates four times a year, not just once a year

So, equation becomes: f(x) = 4(3^(1)/(4))^x

f(x) = 4(1.32)^x

Now on comparing with A

1.32=1+r

0.32=r

So, New growth rate = 0.32=32%

Hence f(x) = 4(1.32)^x  function is correct for Erin's purpose and the new growth rate is 32%

There are 12 months a year, and if the growth is to be calculated four times a year, the interval would be every three months.

We use the variable
z as the number of 3 months per year

So,
x = z/4

Substituting, the new growth rate would be:
f(z) = 4(3)^(z/4)