Find the measures of a positive angle and a negative angle that are coterminal with each given angle. Part 2.

8. θ = -25°

9. θ = -390°

Answer:

The boys would have traveled two hours to be at the same point on the trail

Step-by-step explanation:

At the same point on the trail, the two boys would have traveled the same distance.

What this means is that the distance traveled by Neal would be equal to the distance traveled by Abel

Thus, we equate the equation of thur distances.

That would be;

14t = 11t + 6

14t -11t = 6

3t = 6

t = 2 hours

Answer:

2

Step-by-step explanation:

Answer:

the chance of getting at least 1 head is 99.8%.

Step-by-step explanation:

Since the chance to head is a %.5 chance, then thats the variable. There is 9 of those , and then mulitply that then subtract from one.

Answer:

28u-14v+7w

Step-by-step explanation:

Answer: 28u−14v+7w

Step-by-step explanation:

Hope that helps

Answer:

-3

Step-by-step explanation:

Answer:

x < .6

Step-by-step explanation:

1+5x<4

Subtract 1 from each side

1-1+5x<4-1

5x<3

Divide each side by 5

5x/5 <3/5

x < .6

Answer:

80

4

Step-by-step explanation:

You are correct in placing 80 in the box in the table. If you examine the table and the pattern, you'll see that as the number of marbles increases by 10, the weight of the bags increases by 40.

We can determine the rule by dividing 40 by 10: 40 ÷ 10 = 4.

So, the rule is actually to divide the weight of the bag by 4 to find the number of marbles.

Note that this is likely because each marble is 4 grams.

Answer:

No, the answer is to divide by 4

Step-by-step explanation:

You're so close, but if you look closely 320/3=106.67. However, 320/4=80. And if you look at the other choices, it applies to all of them. 40/4=10 , 80/4=20 , 120/4=30 , and 160/4=40.

Hope this help!!!

Answer:

x=1

Step-by-step explanation:

55+70=125

sum of angles in a triangle is 180 so

180-125=55

54x+1=55

x=1

Answer:

1. C 2. B

Step-by-step explanation:

1. find the total circumference, d times pi, then put 42 over 360 and multiply them to get that section

2. The actual value of x is 33.2

So I plugged in that value for all of them

Answer:

18,223 feet

Step-by-step explanation:

y= -16t^2 + 608t + 12,447.

y = -16(t² - 38t) + 12447

y = -16[t² - 2(t)(19) + 19² - 19²] + 12447

y = -16(t - 19)² - 16(-19²) + 12447

y = -16(t - 19)² + 18223

Vertex: (19, 18223)

Max height is 18,223 at t = 19

The parabolas are:

a = -16

b = 608

c = 12,447

x_v = -b/2a

t_v = -608/2(-16)

t_v = -608/-32

t_v = 19

Plug in t_v = 19 to find y_v

y = -16(19)^2 + 608(19) + 12,447

y = -16(361) + 11,552 + 12,477

y = -5,776 + 11,552 + 12,477

y = 18,253

We have the point (19, 18,253)

The max height is at 18,253 when t = 19

Best of Luck!

Answer:

Out side the circle

Step-by-step explanation:

This is because the center is 0 and if the point 6, square root seven is on the circle that mean that as far as the circle goes on each side.

Answer:

Time when Ben and Melanie are 360 miles apart = 3.871 hours.

Step-by-step explanation:

The question seems unclear, but the sense that could be made from this question is that

Ben leaves with a speed of 51 miles per hour and Melanie also left at the same time in the opposite direction at a speed of 42 miles per hour. My husband wants to find how many hours they both must have been moving to be 360 miles apart.

Let the required time be t.

Let the distance covered by Ben in t hours be x miles.

Let the distance covered by Melanie in t hours be y miles.

Total distance covered = x + y = 360 (eqn 1)

speed = (distance/time)

For Ben

51 = (x/t)

x = (51t) miles

For Melanie

42 = (y/t)

y = (42t) miles

Substituting for x and y in eqn 1

x + y = 360

51t + 42t = 360

93t = 360

t = (360/93) = 3.871 hours.

Ben would have travelled x = 51t = 51 × 3.871 = 197.42 miles

Melanie would have travelled y = 42t = 42 × 3.871 = 162.58 miles

Hope this Helps!!!!

Answer:

b = 4a

Step-by-step explanation:

Given

a = [tex]\frac{1}{4}[/tex] b

Multiply both sides by 4 to clear the fraction

4a = b

Answer:

The distance where the keys would drop from the base is 3.5m

Step-by-step explanation:

Height of the tower = 50m

Angle it makes to the ground = 86°

To solve this question, you have to understand that the tower isn't vertically upright and the height of the tower is different from the distance from the top of the tower to the ground.

The tower makes an angle 86° to the ground and that makes it not vertically straight because a vertically straight building is at 90° to the ground.

See attached document for better illustration.

The distance from where the keys drop to the base of the tower can be calculated using SOHCAHTOA

We have to use cosθ = adjacent / hypothenus

θ = 86°

Adjacent = ? = x

Hypothenus = 50m

Cos θ = x / hyp

Cos 86 = x / 50

X = 50 × cos 86

X = 50 × 0.06976

X = 3.488 = 3.5m

The distance where the keys would drop from the base of the tower is approximately 3.5m

Answer:

Step-by-step explanation:

The domain of a function is the set for which the function is defined. Our function is the function [tex]h(x) = 6x-4[/tex]. This function is defined regardless of the value of x, so it is defined for every real value of x. That is, it's domain is the set {x|x is a real number}.

The range of the function is the set of all possible values that the function might take, that is {y|y=6x-4}. Recall that every real number y could be written of the form y=6x-4 for a particular x. So the range of the function is the set {y|y is a real number}.

Note that as x gets bigger, the value of 6x-4 gets also bigger, then it doesn't approach any particular number. Note also that as x approaches - infinity, the value of 6x-4 approaches also - infinity. In this case, we don't have any horizontal asymptote. Since the function is defined for every real number, it doesn't have any vertical asymptote. Since h is a linear function, it cannot have any oblique asymptote, then h doesn't have any asymptote.

Answer:

the answer is b

Step-by-step explanation:

Answer:

735.13268 units^2

Step-by-step explanation:

A=2πrh+2πr2=2·π·9·4+2·π·92≈735.13268

Answer:

the price will be the same for either amusement park

Step-by-step explanation:

10+1(x)=?

5+2(x)=?

ex; x=5

10+1(5)=                                   5+2(5)=

10+5=                                      5+10=

15                                            15

Answer:

5 rides, cost of $15

Step-by-step explanation:

With the information given we have two expressions:

10 + 1x and 5 + 2x

Using these expressions we can create this equation:

10 + 1x = 5 + 2x

Knowing some information we can can simply analyze some information:

The closest number each of these equations could equal is 15,

1(5) is 5 + 10 = 15, and 2(5) is 10 + 5 = 15

15 = 15 this is a true statement, so we know this is answer

Hope this helps! Have a good day!

Answer:

35

Step-by-step explanation:

Answer:

22.

     log3(4) + log3(5x^2 + 1) = 2

<=> log3(4 x (5x^2 + 1)) = log3(9)

<=> 20x^2 + 4 = 9

<=> 20x^2 = 5

<=> x^2 = 1/4

<=> x = +/- (1/2)

23.

      log8(4x^2 + 1) - log8(2) = log8(5)

<=> log8((4x^2 + 1)/2) = log8(5)

<=> 2x^2 + 1/2 = 5

<=> 2x^2 = 9/2

<=> x^2 = 9/4

<=> x = +- (3/2)

24.

      log8(4x^2 - 9) - log8(5) = 1

<=> log8((4x^2 - 9)/5) = log8(8)

<=> (4x^2 - 9)/5 = 8

<=> 4x^2 - 9 = 40

<=> 4x^2 = 49

<=> x^2 = 49/4

<=> x = +/- (7/2)

Hope this helps!

:)

Answer:

The odometer showed 6,015.2 miles at the beginning of the trip.

Step-by-step explanation:

The odometer increases according to the number of miles traveled.

Before the trip, it showed x miles.

During the trip, the car was driven 422.3 miles.

After the trip, it showed 6,437.5 miles.

So

x + 422.3 = 6437.5

x = 6437.5 - 422.3

x = 6,015.2

The odometer showed 6,015.2 miles at the beginning of the trip.

Answer:

88%

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Answer:

She must buy 90 tiles for the cost to be the same at both stores

Step-by-step explanation:

Let x be the no. of tiles bought for the cost to be the same at both stores

Margo can purchase tile at a store for $0.89 per tile at shop 1

Cost of x tiles =0.89x

She rent a tile saw for $45.

So, total cost at Store 1 = 0.89x+45

At another store she can borrow the tile saw for free if she buys tiles there for $1.39 per tile.

So, cost of 1 tile = 1.39

Cost of x tiles = 1.39x

ATQ

0.89x+45=1.39x

45=1.39x-0.89x

45=0.5x

[tex]\frac{45}{0.5}=x[/tex]

90=x

Hence She must buy 90 tiles for the cost to be the same at both stores

Answer:

Step-by-step explanation:

Answer:

mean= 12.8

median=13

mode=there is no mode

Step-by-step explanation:

mean/average=14+10+12+15+ 13​=64/5=12.8

median=10,12,13,14,15=13

mode= is the number that repeats more often. = there is no mode

Answer:

0 to 30 minutes on edg.

Step-by-step explanation:

Answer:

c on e 2020

Step-by-step explanation:

Answer:

The probability is 9/100

Step-by-step explanation:

First, we know that 70% of the students are with brown eyes. Since we have a total of 20 students, this corresponds to 70/100 * 20 = 14 students

The number of students without brown eyes is thus 20 -14 = 6 students

Now, the probability of selecting a student without brown eyes is 14/20 = 7/10 while the probability of selecting a student with brown eyes is 6/20 = 3/10

Now the probability of selecting two students without brown eyes mean, the first selected is without brown eyes and also the second selected is without brown eyes.

In probability, once we have the work and, we multiply.

So our answer here is 3/10 * 3/10 = 9/100

Answer:

3.5

Step-by-step explanation:

y = 3.5x – 17

This is in the slope intercept form

y= mx+b where m is the slope and b is the y intercept

The slope is 3.5