xand y are light house. y being 20km due east of x and from a ship due south of x the bearing of y was 055°. what is the distance of the ship from y and the distance of the ship from x?​

Answer:

The first listed equation is the correct equation to solve

The correct answer is: t = 5 seconds

Step-by-step explanation:

Let me mention first that there is an error in the statement that the gravitational pull of the Earth is 16 ft/s^2. It is in fact 32 ft/s^2, and the actual equation uses half of the acceleration multiplied by the square of the variable time, so it gives as final expression :

[tex]y(t)=-16\,t^2+ 0 \,t +400[/tex]

and we want to find the value/s for "t" that make this equation equal zero (when it reaches the ground and the object just touches the ground. This makes the equation we want to solve:

[tex]0=-16\,t^2+ 0 \,t +400\\16\,t^2+0\,t -400=0[/tex]

which solving for "t" becomes:

[tex]16\,t^2-400 =0\\16\,t^2=400\\t^2=\frac{400}{16} \\t^2=25\\t= +/- 5\,\,sec[/tex]

So we adopt the positive answer (positive time) since the negative value has no physical meaning for this problem.

That is: t = 5 seconds

correct equation: -16t^2 + 0t + 400 = 0

solution: 5 seconds

i just did the workbook and got it correct!

Answer:

31 + 4y

Step-by-step explanation:

4(6+y)+7

Expand the brackets.

24+4y+7

Rearrange.

4y + 24 + 7

Add the like terms.

4y + 31

Answer:

its B

Step-by-step explanation:

Answer:

4/36=2/18=1/9=1/9=1/9=1/9=1/9=1/9

Answer:

1/9

Step-by-step explanation:

4:36 as a ratio can be written in the form of a fraction.

4/36

Simplify the fraction using the highest common factor.

4÷4/36÷4

1(4)/9(4)

The 4's cancel.

1/9

Answer:

h(2) = 0

Step-by-step explanation:

Simply plug in 2 in for x in h(x)!

h(2) = -(2) + 2

h(2) = -2 + 2

h(2) = 0

And we have our final answer!

Answer:

H(2) = 0

Step-by-step explanation:

All you need to do is replace x with 2 in the function and solve:

H(2)= -2 + 2

H(2)= 0

Answer:

C

Step-by-step explanation:

Macy didnt correctly find the equivalent fraction with the denominator of 30

4/5 is 24/30 not 18/30.

this is because 4×6 is 24 which is the numerator and 5×6 is 30 which is the denominator

Answer:

Macy did not correctly find the equivalent fraction with the denominator of 30.

Step-by-step explanation:

What Macy should have written:

[tex]\frac{4}{5} ?\frac{18}{30} =\\\\\frac{24}{30} >\frac{18}{30}[/tex]

What Macy wrote:

[tex]\frac{4}{5} ?\frac{18}{30} =\\\\\frac{18}{30} <\frac{19}{30}[/tex]

[tex]\frac{4*6}{5*6}[/tex] does not equal [tex]\frac{18}{30}[/tex]

Answer:

300 time 15 = the answer

Answer:

4500

Step-by-step explanation:

Answer:

The correct answer is :

Range is: {1000,1100,1200,1300,1400,1500,1600}

Step-by-step explanation:

We are given here input-output table.

Let us define the domain and range of a function.

Domain is the set of values that can be given as input to the function.

and

Range is the set of values that comes out as the output of the function.

For example:

[tex]y = f(x) = 2x[/tex]

The domain of the function above is the set of values of x.

The range of function is the value of y or f(x).

For above example, range can be set of all Real numbers i.e. R.

Range for the above example will also be set of all Real numbers i.e. R.

From the given table in the question statement:

Input or Domain = {10,20,30,40,50,60,70}

Output or Range = {1000,1100,1200,1300,1400,1500,1600}

Answer:

each child has a diffrent set

Step-by-step explanation:

Answer

2890

Step-by-step explanation:

2,890 meters^2 is grass

Step-by-step explanation:

First find the area of the garden

Area of a rectangle can be found using:

a=lw

a=85*50

a=4,250 meters^2

We know that 32% of the area is flowers, so we can multiply 32% and 4250

32%*4250

Convert 32% to a decimal by dividing by 100

32%/100=0.32

0.32*4250=1360

So, 1360 meters^2 is flowers.

The rest must be grass, so we can find the difference between the total area and the flowers

4250-1360=2890

Answer:

The answer is option a

0.8

4/5 = 0.8

Hope this helps.

Answer: (a) x + 2y = -1  and  3x + y = 1

Step-by-step explanation:

I am not sure what the purpose was for the colored lines but I included them on the graph (below).

Answer:

The answer is A

Step-by-step explanation:

I took to the unit test on edge

Answer:

4 feet

Step-by-step explanation:

Use pythagorean theorem to solve the center height of Sam’s tent.

The center height of the triangle or Sam's tent is given by AB = 4 feet

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the base of the triangle is BC = 3 feet

The hypotenuse of the triangle is AC = 5 feet

And , the triangles share a common height

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

So , the height of the triangle AB = √ ( AC )² - ( BC )²

On simplifying , we get

The height of the triangle AB = √ ( 25 ) - ( 9 )

The height of the triangle AB = √16

The height of the triangle AB = 4 feet

Hence , the height of the triangle is 4 feet

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Answer:

Step-by-step explanation:

We first need to determine how many grams are in 3 kg.

3 kg * [tex]\frac{1000g}{1kg}[/tex] = 3000 g

Now we know that there are 3000 g in 3 kg. If we divide 3000 g by 75, we will determine how many packets of butter there are.

3000 / 75 = 40.

40 packets of butter. If 10 go into a box, that means that

40 / 10 = 4 boxes.

Step-by-step explanation:

3kg = 3000g

1 packet = 3000/75 = 40 packets

Then

If 10 packets in a box so

40/10 = 4 boxes

Answer:

C

Step-by-step explanation:

i just took the test

Answer:

8

Step-by-step explanation:

4/4=1

3/3=1

1+1+6=8

The multiplicative rate of change of the function is 2.

The pace at which one quantity changes in relation to another quantity is known as the rate of change function. The rate of change will be calculated by the ratio of the change of the dependent variable to the change of the independent variable.

Given that the values of the variables x and y are,

x    y

1     6

2    4

The rate of change will be calculated as,

Rate  of change  = ( y₂ - y₁ ) / ( x₂ - x₁ )

Rate  of change  = (4 - 6 ) / ( 2 - 1 )

Rate of change = -2

The multiplicative rate of change will be 2.

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Answer:

m = -5, 0

Step-by-step explanation:

Easiest and quickest way to do this is to graph the equation and find where it intersects the x-axis. If not, then use completing the square or quadratic formula to find your roots.

Answer:

Length of arc QR is [tex]\approx[/tex] 9.9 cm

Step-by-step explanation:

Given that circle P, i.e. center is point P.

QS is diameter with length 20 cm.

Given that RP is the radius with

[tex]\angle RPS = 123^\circ[/tex]

To find length of arc QR = ?

Solution:

Arc QR subtends the [tex]\angle QPR[/tex] on center P.

So, we need to find the angle [tex]\angle QPR[/tex] to find the length of arc QR.

QS is the diameter so [tex]\angle QPS = 180^\circ[/tex]

[tex]\angle QPS = 180^\circ = \angle QPR +\angle RPS\\\Rightarrow 180^\circ = \angle QPR +123^\circ\\\Rightarrow \angle QPR = 57^\circ[/tex]

Converting in radians,

[tex]\angle QPR = 57^\circ \times \dfrac{\pi}{180} = 0.99\ radians[/tex]

Using the formula for length of arc:

[tex]l = \theta \times R[/tex]

Where [tex]\theta[/tex] is the angle subtended by the arc on center.

R is the radius of circle.

Here,

[tex]\theta = 0.99\ radians\\R = 10\ cm[/tex]

[tex]l = 0.99 \times 10\\l = 9.9\ cm[/tex]

Length of arc QR is [tex]\approx[/tex] 9.9 cm

Answer:

9.9 cm

Step-by-step explanation:

Answer:

the correct answer is d

Step-by-step explanation:

the answer is d because most of the time when you take an eqation like -4(x-2)+5x and you flip some of the signs it changes the outcome

so x changes the eqation then when you siplify both sides you get

x+8

and

x

so x+8=x that has no solution to the eqation

all of the others come out to x+8 and the will all create infininte solutions other than d

The expression can be written on the other side of the equation is x+8.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given expression is -4(x-2)+5x.

Here, the expression can be simplified as

-4(x-2)+5x

= -4x+8+5x

= x+8

Hence, the expression can be written on the other side of the equation is x+8.

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Answer:

1st Option

Step-by-step explanation:

Average rate of change formula: [tex]\frac{f(a) - f(b)}{a-b}[/tex]

Simply plug in 8 as a and 6 as b.

Answer:

A.

Step-by-step explanation:

Δy /Δx = (y2 - y1)/(x2 - x1) = [g(x2) - g(x1)]/(x2 - x1)

[g(x2) - g(x1)]/(x2 - x1) =[g(8) - g(6)]/(8 - 6) =[tex]\frac{[-8^{2}-4(8)]-[-6^{2}-4(6)]}{8-6}[/tex]

Answer:

145

Step-by-step explanation:

Answer: R S M = 145

It seems that someone already gave the correct answer for this, but I'll add an explanation in case you're curious!

1. So, we can write it out as:

R S M

  R S                             (make sure you don't simplify it

x    R                              as  R^3*S^2*M, as each letter here

----------                           stands for an individual digit in a number)

2030

2.   The only possible value of R is 1, because any other value would be too big. (For example, 213*21*2=8946), for the sake of simplicity so let's write it as:

R S M

x   R S                          

----------                          

2030

3. Notice how the last digit in 2030 is 0? That means either M or S =5.

5*2 has a last digit of 0, so let's try that out. Let's sub it in to get 125*12=1500. That's too small, so let's try again.

5*4 also has a last digit of 0. Let's plug that in: 145*14=2030. Yay!

4. In conclusion, RSM*RS*R --- > 145*14*1=2030, so RSM = 145

Hope this helped you :)

Answer: C. 13 meters

Step-by-step explanation:

5^2+12^2=x^2

25+144=x^2

169=x^2

√169=13

13=x

Hope it helps

Answer:

C. 13 meters

Step by step:

5^2+12^2=x^2

25+144=x^2

169=x^2

√169=13

13=x

Answer:

Step-by-step explanation:

The answer is d)

y= 0.0018(x-105)^2 +7

The answer of this is C: 43

Answer:

C)43ft

Step-by-step explanation:

Area= pi*r(squared)

Pi*3.7(squared)=43.00

So answer=43pi(squared)

Answer:

1. y2-y1/x2-x2

2.y=mx+b

3.Ax+By=C

Step-by-step explanation:

yes they are congruent budy because they have given AC is equal to AD,, BC is equal to ED and angle BAC is equal to angle EAD.

For congruence of triangle ABC and triangle ADE we just need three parts that we got and therefore they are congruent..

don't forget to follow

Answer:

a,c, from l to be a great idea to be at the house by the way the time to do it on a hard time that I can help with the rest of the cause you found it on my phone and it do not have a circunr on my computer and

Step-by-step explanation:

yourwelcome

Answer: 7,0,2,3

Step-by-step explanation: nodadnotoday on Spotify

Answer:

C

Step-by-step explanation:

Its the only one that is different from the other choices