5. A yacht is cruising at 20 knots at bearing of 185° when a 15 knot wind starts to blow at a bearing of 290°. Find the direction and speed of the boat.

Answer:

try x=3.08

Step-by-step explanation:

Answer:

The answer is B.

Step-by-step explanation:

2y = -2x - 10

y =    2x + 2 (combine like terms using addition)

_________

3y = -8

Answer:

12.4 cm

Step-by-step explanation:

arc AB is calculated using

arc = circumference × fraction of circle

      = 2πr × [tex]\frac{90}{360}[/tex]

      = 2π × 7.9 × [tex]\frac{1}{4}[/tex]

       = [tex]\frac{7.9\pi }{2}[/tex] ≈ 12.4 cm ( to the nearest tenth )

Answer:

6root(2)/25

Step-by-step explanation:

5^-2 = 1/25

3(root(8)) = 6(root(2))

so you get 6(root(2))(1/25)

= 6(root(2))/25

The required simplified value of the given expression is 0.34 or  6√2 / 25.

Given that,
Expression to simply ios given,
5⁻² x 3√8

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Simplification =>
= 5⁻² x 3√8
= 1/ 5⁻² x 3 x 2 √2
= 6√2 / 25
= 0.34

Thus, the required simplified value of the given expression is 0.34 or  6√2 / 25.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

Answer:

A. (8, -2)

Step-by-step explanation:

Midpoint Formula: [tex](\frac{x1+x2}{2} ,\frac{y1+y2}{2} )[/tex]

We are given midpoint and 1 endpoint, so simply set the equation and solve:

1 = (-6 + x)/2

2 = -6 + x

x = 8

2 = (6 + y)/2

4 = 6 + y

y = -2

Answer:

a)16      (2*2*2*2= 16)

b)16  (-4*-4-16)(-+-=+)

c)500 (5*5*5=125        125*4=500)

d)0.49  (0.7*07)

e)480  (4^=16     9^=81  121^0=1          16+81 -1 =96     96*5=480)

f)5^2  or 25 (a^m/ a^n=a^m-n)

g) 11^14 (reason same as the f one)

h)8.20

i) 4(-4*16=64)

j)900

Answer:

y = √ x + 4

The domain of a function is the value in which you put in the function will make it undefined.

To find the domain equate the function to zero

That's

√x + 4 = 0

square both sides

x + 4 = 0

x = - 4

The domain of the function is x E R except - 4

Hope this helps

Answer:

Step-by-step explanation:

y=√x+4

domain is [0,∞)

range is [4,∞)

Answer:

(0, 6)

Step-by-step explanation:

The solution is the point of intersection of the lines.

(0, 6)

Answer:

16,242. 7 cm^3.

Step-by-step explanation:

We need to cut off a square piece at the 4 corners of the cardboard.

Let the length of their edges be x cm.

The volume of the box will be:

V = height * width * length

V = x(100-2x)(40-2x)

V = x(4000 - 200x - 80x + 4x^2)

V = x(4x^2 - 280x + 4000)

V =  4x^3 + - 280x^2 + 4000x

Finding the derivative:

dV / dx =  12x^2 - 560x + 4000  = 0  ( when  V is a maxm or minm.)

4(3x^2 - 140x + 1000) = 0

x =  37.86, 8.80.

Looks like x = 8.80 is the right value but we can check this out be looking at the sign of the second derivative:

V" =  24x - 560, when x = 8.8   V" is negative so this is a Maximum for V.

So the maximum volume of the box is when x = 8.8 so we have

V =  8.8(100-2(8.8)(40 - 2(8.8)

=  16,242. 7 cm^3.

Answer:

f = 4

Step-by-step explanation:

Step 1: Distribute

-11f = 7 - 14f + 5

Step 2: Combine like terms

-11f = 12 - 14f

Step 3: Add 14f to both sides

3f = 12

Step 4: Divide both sides by 3

f = 4

Answer:

F = 4

solution,

-11f=7(1-2f )+5

Or -11 f = 7-14 f +5

Or -11 f +14 f = 5+7

Or 3 f = 12

Or f=12/3

F = 4

hope this helps...

good luck on your assignment...

Answer:

18x - 63y.

Step-by-step explanation:

9(2x-7y)

= 9 * 2x - 9 * 7y

= 18x - 63y

Hope this helps!

Answer:

Step-by-step explanation:

Distribute (multiply) the 9 to both the 2x and -7y

You get: 18x -63y        

This is because 9 times 2x is 18x. Furthermore, 9 times -7y is equal to             -63y

Answer:

6.4m

Step-by-step explanation:

We can use ratios to solve this

Since 4cm: 3200cm

(RHS is 800x bigger)

Then 8cm : 6400cm

6400cm = 6.4m

Answer:

(B)21+3a

Step-by-step explanation:

An expression is said to be distributive when:

[tex](a+b)c=a \cdot c+b \cdot c[/tex]

Given the algebraic expression: (7 + a)3

Applying the distributive property

[tex](7 + a)3 = 7 \cdot 3+a \cdot 3\\=21+3a[/tex]

An equivalent expression is 21+3a.

The correct option is B

Answer:

X = 275 + 95p

Step-by-step explanation:

Hello,

This question requires us to write an expression to find how much he would've saved over a certain period of time.

Initial deposit = $275

Franklin's monthly deposit = $55

Franklin grandmother's deposit = $40

Let the amount he would've saved over a certain period of time p = x

X = 275 + (55 + 40)p

X = 275 + 95p

Eg, how much would he have saved in 5 months

X = 275 + 95(5)

X = 275 + 475

X = $750

I.e in 5 months, he would've saved $750

Answer:

There are no solutions

Step-by-step explanation:

need points for finals

Answer:

D.

Step-by-step explanation:

Answer:

answer is b). y = 100+ 0.05x

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer =250

l Length  

10

w Width  

5

h Height  

5

Answer:

$8000 worth of sales

Step-by-step explanation:

We know Jack needs to make $1000 in 40 hours. We also know he makes 5% commission, meaning he gets 5% of the money from a sale, and that he makes $15/h.

First, lets find how much made from his hourly pay.

40 * $15 = $600

Now subtract that from how much he needs,

$1000 - $600 = $400

He still needs $400 from commissions. We know he makes 5% commission, so we can find the total value of the sales he'd need by multiplying 400 by 20 since 5% x 20 = 100%, aka the total value. $400 x 20 = $8000 in sales.

Answer:

High Hopes <3

Barry

Answer:

y=x+5

Step-by-step explanation:

Answer:

its G(2)

Step-by-step explanation:

Gg

Answer:

70 degrees

Step-by-step explanation:

All angles in a triangle add up to 180 degrees.

x + 65 + 45 = 180

x + 110 = 180

x = 180 - 110

x = 70

The size of angle x is 70 degrees.

Answer:

70

Step-by-step explanation:

180-65-45=70

Good luck

Answer:

To solve a triangle is to find the lengths of each of its sides and all its angles. The sine rule is used when we are given either a) two angles and one side, or b) two sides and a non-included angle. The cosine rule is used when we are given either a) three sides or b) two sides and the included angle.

Step-by-step explanation:

We just saw how to find an angle when we know three sides. It took quite a few steps, so it is easier to use the "direct" formula (which is just a rearrangement of the c2 = a2 + b2 − 2ab cos(C) formula). It can be in either of these forms:

cos(C) =  a2 + b2 − c22ab

cos(A) =  b2 + c2 − a22bc

cos(B) =  c2 + a2 − b22ca

Answer:

Law of cosines, two sides and the included angle known

Step-by-step explanation:

double check that the question is exactly the same to make sure you get the question correct

"If ∠P is given and the values of r and q are given, then explain whether the Law of Sines or the Law of Cosines should be used to solve for p."

Hey there! :)

Answer:

C) 74 units.

Step-by-step explanation:

MT is congruent to KT because the diagonals of a quadrilateral bisect each other. Therefore:

8y + 18 = 12y - 10

Subtract 8y from both sides:

18 = 4y - 10

Add 10 to both sides:

28 = 4y

Divide both sides by 4:

28/4 = 4y/4

y = 7 units. Plug this into the equation for MT:

8(7) + 18 = 74 units.

Answer:

74

Step-by-step explanation:

Set up the equations

8y + 18 = 12y -10

Combine like terms

28 = 4y

Divide each side by 4

y=7

Plug in the value of y in the equation of 8y + 18 since that's the value for MT

8(7) + 18 = 74

Hope this helps!

When solving a system by addition, our goal is to cancel out one of the variables by adding the two equations together.

Notice that if we add these two equations together,

neither one of our variables will cancel out.

In this situation, we need to set things up so that when we do add

our two equations together, one of our variables will cancel out.

Notice that we have a 2x in our first equation.

If we had a -2 in our second equation,

then the x's would cancel out.

In order to create a -2x in the second equation,

we simply multiply both sides of the second equation by -2.

So we have (-2)(x - 2y) = (10)(-2).

Rewriting both equations, we have 2x + 4y = 28 and for

our second equation we have -2x + 4y = -20.

Now when we add our two equations together,

our x terms will cancel out and were left with 8y = 8.

Dividing both sides by 8, y = 1.

To solve for x, substitute a 1 in for y

in either one of the two equations.

So let's go with our first equation.

If we substitute a 1 in for y, we have 2x + 4(1) = 28.

4(1) is 1 according to the identity property of multiplication.

So we have 2x + 4 = 28.

Now subtract 4 from both sides to get 2x = 24.

Now divide both sides by 2 and x = 12.

Now put your answer in the form of the ordered pair {12, 1}.

Answer:

Step-by-step explanation:

Fist let's have a look :

Now the first question : What is the size x ?

The second question : what is the size of y ?

The trick is to khow the situation where we have  corresponding angles

There isn't an obvious question to this problem but with the given we can assume what is to be asked. I think we are to find the total cost of a certain poultry seasoning. The poultry seasoning would have a total weight of 4+2=6 ounces. The total cost will then have to be 4(4) + 2(3) = 22 dollars. 

Answer:

D. 6

Step-by-step explanation:

Got it correct on edg2020

Answer:

m<ABC > m<ACB (angle property of a triangle)

Step-by-step explanation:

Given that: ΔABC

                  AB = AX

Prove: m<ABC > m<ACB

From the given diagram,

ΔABX is an isosceles triangle (two congruent sides and angles)

<AXB = m<ABX = [tex]90^{o}[/tex] (isosceles triangle property)

AC = AX + XC

Thus,

AC > AB

m<ABC = m1 + m3 ≥  [tex]90^{o}[/tex]

m<ACB < [tex]90^{o}[/tex] (acute angle property)

Therefore since in a triangle the longest side is opposite to the greatest angle, then;

m<ABC > m<ACB (angle property of a triangle)

Answer:

as volume=lenght×width×height

volume=10ft×6.25ft×4.5ft

volume=62.5ft²×4.5ft

volume=281.25 cubic feet

Step-by-step explanation:

i hope this will help you :)

Answer:

[tex]7\sqrt{2}[/tex] meters

Step-by-step explanation:

This is a 45 45 90 triangle. This means that two sides of the triangle are equivalent. In this type of triangle, the two equal sides are represented by [tex]a[/tex] and the hypotenuse that you are trying to find (u) is represented by [tex]a\sqrt{2}[/tex]

Therefore, your answer is [tex]7\sqrt{2}[/tex] in simplest radical form.

Answer:

u= 7[tex]\sqrt{2}[/tex]

Step-by-step explanation:

The missing side is u

sin 45° = [tex]\frac{\sqrt{2} }{2}[/tex]

so :