An ocean liner leaves port at 9:00 a.m. traveling directly out to sea at 22 miles per hour. A ferry leaves port at 9:30
a.m. traveling the same direction at 28 miles per hour. Use this information to complete the sentences.
A pair of parametric equations representing the paths of the boats are
From the time the ocean liner leaves until the ferry overtakes it is minutes at a distance from the port of
approximately miles.

Answer:

19.5°

Step-by-step explanation:

IN EFG the measure of G=90 DG=21 feet and EF=63 feet find the measure of E to the nearest degree.​

We solve the question using Sine rule

= a/sin A = b/sin B

= 21/sin E = 63/sin 90

Cross Multiply

Sin E × 63 = 21 × sin 90

sin E = 21 × sin 90/63

E = arc sin( 21 × sin 90/63)

E = 19.47122°

Approximately = 19.5°

Answer:

16

Step-by-step explanation:

i totally forgot how to write the equation so i did it the long way and i got with 16 shovels of dirt you get 100 pounds

Answer:

there is no image

Step-by-step explanation:

Theres no image.........

>3. its less than 3 because it is

Answer:

i dont know

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

2x8

Answer:

76

Step-by-step explanation:

Put the numbers in order from least to greatest.

72, 73, 75, 76, 76, 79, 83, 86

Then, cross off each number at each end until you reach the one in the middle. Which, since they are the same, is 76.

Answer:

[tex]sin(\theta_1) = \dfrac{\sqrt{357} }{29}[/tex]

Step-by-step explanation:

The parameters of the angle θ₁ are;

The location of θ₁ = Quadrant II

cos(θ₁) = -22/29

We note the following;

1) The sine of an angle in quadrant II is positive

2) The cosine of an angle in quadrant II is negative,

2) The cos of an angle = The adjacent leg length to the reference angle divided by the hypotenuse length of a right triangle

3) With regards to the right triangle for finding cos(θ₁)

The adjacent leg length = -22 (The x-axis is negative in quadrant II)

The hypotenuse length = 29

The negative sign is obtained from the value of cosine in the quadrant

Therefore, by Pythagoras' theorem, for a right triangle, we have;

The opposite leg length to 'θ₁' = √(29² - 22²) = √(357)

[tex]sin\angle X = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length}[/tex]

Therefore, we have;

[tex]sin(\theta_1) = \dfrac{\sqrt{357} }{29}[/tex].

Answer:

Angle B: 28 degrees

Side a: 27.6

Step-by-step explanation:

Angle B:

180-112-40=28

Side a:

sin 28/14 = sin 112/a

a = sin 112(14)/sin 28

a = 27.6

Answer:

1  1/ 3

Step-by-step explanation:

Answer:

D 70

Step-by-step explanation:

Hello there!

A triangle formed inside of a circle using the diameter ( segment RQ ) is a right triangle

Meaning that the angle across from the hypotenuse ( diameter ) is a right angle ( = 90 degrees )

That being said we are given two angles (90 and 20 ) so we can easily calculate the measure of the missing angle

Remember the sum of the angles in a triangle is equal to 180 so we can find the missing angles by subtracting the given angles ( 90 and 20 in this case ) from 180

angle PRS = 180 - 90 - 20

180 - 90 = 90

90 - 20 = 70

Therefore your answer is D. 70

Answer:

48

Step-by-step explanation: Take the 6 adults and divide it by one of the multiple choice answers to get a ratio. The ratio of 48 / 6 = 8. You can then see if that ratio helps you add up all the alligators to 120.

4 x 8 + 5 x 8 + 6 x 8 = 120

Answer:

yes its a function because the x side doesnt repeat itself

Step-by-step explanation:

Answer:

Yes.

Step-by-step explanation:

Answer:

50 - 8 = 42

divide 42 by 3!

5.25

Answer:

1/4 the new area

Step-by-step explanation:

Kimberly wants to enlarge hut 5‘ x 10‘ rectangular patio by multiplying its dimensions by two how old the area of the patio be affected

Given that:

Initial dimension of patio = 5' by 10'

Initial area of patio = Area of rectangle = Length * width

Area of patio = 5 * 10 = 50 in²

If dimension is multiplied by 2

New dimension :

5* 2 by 10*2 = 10' by 20'

New area of patio :

10 * 20 = 200 in²

50 /200 = 1/4

The old area will be 1/4 the size of the new area of the patio

Answer:

5/6

Step-by-step explanation:

x = 5/6.

Answer:

Step-by-step explanation:

5+5+6+6+7+7+6+6=48cm

Answer: x < 5

Step-by-step explanation: 4x + 40 < 60

72⁰

HOPE IT HELPS YOU THANK YOU ☺

Answer:

37 degree

Step-by-step explanation:

RQS is suspened by arcRS

RQS=1/2(RS)

RQS=1/2(74)

RQS=37

The error interval for x would be (3.65, 3.75), indicating that the true value of x lies within this range.

Given that a number x is rounded to 1 decimal place and its 3.7.

We need to find the error of the interval for x,

To determine the error interval for the rounded number 3.7, we need to consider the possible range of values that could have been rounded to 3.7 when rounded to 1 decimal place.

When rounding to 1 decimal place, we look at the digit immediately to the right of the decimal point. If this digit is 5 or greater, we round up. If it is less than 5, we round down.

In this case, 3.7 is the rounded value, which means the original number could have been rounded up from a value greater than or equal to 3.65 or rounded down from a value less than 3.75.

Therefore, the error interval for x would be (3.65, 3.75).

Learn more about error interval click;

https://brainly.com/question/30473763

#SPJ4

Answer:

15 more weeks

Step-by-step explanation:

425 - 125 (what shes already saved)

300 divided by 20 (amount shes saving each week)

Result is 15, so 15 more weeks.

Hope this helped :)

If you mean how many weeks total, 125 according to the 20 dollars a week would bring it 22 weeks i think.. since the answer answer is 21.2 weeks exactly when you divide 425 by 20.

Answer:

180 m

Step-by-step explanation:

Answer: 3.32276 units squared

Step-by-step explanation:

area of total sector=(pi*r^2)/360

=2^2 * 120pi /360

=4*120/360 * pi

=4.1887902

area of the triangle=(1/2)*base*height

the height is 1 (because you can divide the triangle down the middle to make a 30 60 90 triangle, and the sin(30)=x/2, so 2sin(30)=x, x=(1/2)*2

the base is equal to [tex]\sqrt{3}[/tex] because the base of the 30 60 90 triangle is 2sin(60), and sin60 is [tex]\sqrt{3}[/tex]/2, so you have to double that to get the area of the 120 degree triangle.

the area of the triangle is (1/2)*1*[tex]\sqrt{3}[/tex]=[tex]\sqrt{3} /2[/tex]=0.866025

so the difference is 4.1887902-0.866025

=3.32276 units squared

Answer:

25 square feet

Step-by-step explanation:

You would multiply 5 by 5 to get the area.

5 by 5 is 25.

Hope I helped.

Answer:

c

Step-by-step explanation: