A snail crawls 83 cm due west and then
78 cm due north.
Work out the bearing of the snail from its
starting point.
Give your answer to the nearest degree.

Answer:

334 dozen cookies.

Step-by-step explanation:

1000=3x

Let x = dozen of cookies sold

3x=1000

x=1000/3

x=333.33

Since 333.33 isn't a whole number, we need to round it up to 334 since rounding it down to 333 won't raise 1000 dollars.

Answer:

28 times

Step-by-step explanation:

On a fair die, the probability of rolling a 6, the only number greater than 5, is 1/6. So in 168 rolls of this die, Malachy can expect a 6 on 1/6 × 168, or 28 times.

Answer:

36.56

Step-by-step explanation:

the area of a circle is r^2×pi (here 2^2×pi) then add the area of the middle rectangle (so 4×6)

Answer:

Parellel: y=-2x+17

Perpendicular: y=2x-3

Step-by-step explanation:

Hope this helps! ;-)

Given expression:

To simplify the expression as a fraction in simplest form, let us multiply both terms by 10. Then, both terms must also be divided by 10.

   [tex]\implies \dfrac{[10(0.8) - 10(0.6)]}{10}[/tex]

   [tex]\implies \dfrac{[8 - 6]}{10}[/tex]

   [tex]\implies \dfrac{[2]}{10} = \dfrac{2}{10}[/tex]

When 2/10 is simplified in lowest terms, we get;

   [tex]\implies \dfrac{2}{10} \implies \dfrac{1 \times 2}{5 \times 2} \implies \dfrac{1}{5}[/tex]

Therefore, 0.8 - 0.6 in fraction form is 1/5.

Answer:

see the attachment photo!

Answer:

Step-by-step explanation:

Using formula y=kxz

so,

24=k*4*3

k=2

so if we put x=12 and z=4,

y=2*12*4

y=48

So

And

sin47=0.73

cos47=0.68

So meanwhile sin is greater so 6sin is also greater

Answer:

Ship 2

Step-by-step explanation:

From inspection of the diagram, the problem has been modeled as a right triangle.  Therefore, to find [tex]x[/tex] and [tex]y[/tex], use trigonometric ratios then compare to determine which distance is the smallest.

Trigonometric ratios

[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]

where:

To find [tex]x[/tex] use the sine trig ratio:

[tex]\implies \sf \sin(\theta)=\dfrac{O}{H}[/tex]

[tex]\implies \sin(47^{\circ})=\dfrac{x}{6}[/tex]

[tex]\implies x=6 \sin(47^{\circ})[/tex]

[tex]\implies x=4.39 \: \sf miles \:(2\:dp)[/tex]

To find [tex]y[/tex] use the cosine trig ratio:

[tex]\implies \sf \cos(\theta)=\dfrac{A}{H}[/tex]

[tex]\implies \cos(47^{\circ})=\dfrac{y}{6}[/tex]

[tex]\implies y=6 \cos(47^{\circ})[/tex]

[tex]\implies y=4.09 \: \sf miles \: (2 \: dp)[/tex]

As 4.09 < 4.39, ship 2 is currently closer to the coast guard.

Answer:

dilation with respect to the origin by a scale factor of 1/3 followed by a translation of 2 units down

Step-by-step explanation:

The sides of the △ HIJ are:

IH = 6

IJ = 3

Applying the scale factor we obtain the sides of △ H'I'J '.

The scale factor is k = 1/3.

Therefore, we have:

I'H '= 2

I'J '= 1

Then, we move the △ H'I'J 2 units down.

[tex]\huge{\color{red}{\fbox{\textsf{\textbf{Answer}}}}} [/tex]

4 hours 12 minutes

Step-by-step explanation:

We need to convert time in hours by diving 15 by 60

[tex] \sf 2 \frac{15}{60} \\ \\ \sf 2 \frac{1}{4} [/tex]

as it is mixed fraction we will convert into improper

[tex] \sf \frac{(2 \times 4) + 1}{4} \\ \\ \sf time = \frac{9}{4} hours[/tex]

Now we need to find distance

[tex] \sf \green {distance = speed \times time}[/tex]

Here speed is 50km/h

[tex] \sf \implies distance = 50 \times \frac{9}{4}km \\ \\ \sf \implies distance = \frac{25 \times 9}{2}km \\ \\ \sf \implies distance = \frac{225}{2} km \\ \\ \sf \implies \red {distance = 112.5km}[/tex]

Now we have to have time at new speed at 27km/h

and distance is same

[tex] \sf \pink{ time = \frac{distance}{speed} }[/tex]

Now substituting the value of speed and distance

[tex] \sf \implies time = \frac{112.5}{27} [/tex]

Now we will remove point(.) from the distance by multiplying 10 with 27

[tex] \sf \implies time = \frac{1125}{27 \times 10} \\ \\ \sf \implies time = \frac{41.6}{10} [/tex]

now we will convert it into mixed fraction

[tex] \sf \implies time = 4 \frac{1}{5} hours [/tex]

Now we will convert fraction hours into minutes by multiply with 60

[tex] \sf \implies time = 4 \: hours \: \frac{1}{5} \times 60 \: minutes \\ \\ \sf \implies \orange{ time = 4 \: hours \: 12 \: minutes}[/tex]

 ‎‎‎‎ ‎ ‎ ‎ ‎‎ ‎‎‎‎ ‎‎       ‎      ‎      ‎      ‎     ‎    ‎    ‎   ‎

Answer:

-25 on painting supplies, +144 painting faces, +119 net gain

Step-by-step explanation:

spent = negative

earned = positive

net gain = earned - spent (sometimes it can be negative is you spend more than you make)

The maximum amount Simon Powell can borrow against his home is $130,000.

The maximum amount Simon Powell can borrow against his home can be calculated using the following formula:

Maximum amount that can be borrowed = (Current value of the home * Percentage of the market value that can be borrowed) - Mortgage balance …………………. (1)

Substituting all the relevant values into equation (1), we have:

Maximum amount that can be borrowed = ($350,000 * 0.80) - $150,000 = $130,000

Learn more about mortgages here: https://brainly.com/question/20715254.

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Answer:

x^2 + 5x - 14

Step-by-step explanation:

We can assume that if there is 2 options for x, this is a quadratic equation that equals 0.

Therefore, we can put this into brackets as one bracket must equal 0.

(x - 2) (x + 7)

After this we expand, which is a process easier to search up

The answer is:

x^2 + 7x - 2x - 14

We can simplify this to:

x^2 + 5x - 14

x^2 represents x squared in case you were wondering

Therefore, the answer is:

x^2 + 5x - 14

ENGLISH:

Algebraic expressions are combinations of variables, numbers, and at least one arithmetic operation.

To evaluate an algebraic expression, replace the variable(s) with known values ​​and then use the order of operations.

For your convenience, you can use parentheses when entering negative values ​​in variables.

Answer:

Can you show me the question? Because the picture doesn't have enough datum

Answer:

The answer is (-2,0)

Step-by-step explanation:

The rest of them is not a right triangle or just upside down.
Hope this helps! ;-)

Answer:

<B = 52°

Step-by-step explanation:

The triangle is 180° Angle A and B add up to 118°

4y° + (3y + 7)° = 112°

7y + 7 = 112°

7y = 105

y = 15

Since you solve for y, plug your y into the angles to solve.

<B = 3y + 7

<B = 3 * 15  + 7

<B = 45 + 7

<B = 52°

Answer:

x = (-1±i√3)/2

Step-by-step explanation:

y = -2x² + 9x - 4

x = (-b±√(b²-4ac))/2a

x = (2±√((-2)²-4(-1)(-4))/2(-2)

x = (2±√(4-16))/-4

x = (2±√-12)/-4

√-12 = √12 x √-1

√12 = √4√3

2i√3

x = (-1±i√3)/2

Reason:

The domain is the set of allowed x inputs.

The graph shows an open hole at x = 7, meaning that 7 itself isn't part of the domain. But any value smaller than this will be part of the domain. So that's why we go for x < 7.

The value x = -1 is allowed since we have a closed endpoint for one of the pieces here.

The arrow pointing to the left indicates that piece goes on forever in that direction.

Answer:

x < 7

Step-by-step explanation:

The domain of the function is less than 7 as indicated by the open dot. (a closed dot indicates ≥ or ≤)

At x = -1, it is part of the domain because there is at least one closed dot indicating it is part of the domain.

The domain of the function is :

Answer:

B

Step-by-step explanation:

first of all articles are perfect and there is . sign at the last of the sentence

Answer:

f(3) = 42

Step-by-step explanation:

f(x) = 3x² + 5x

Then

f(3) = 3(3)² + 5(3)

      = 3×9 + 5×3

      = 27 + 15

      = 42

Answer:

I believe it is y-5=3(x+7)

Step-by-step explanation:

Point Slope form = y-y1=m(x-x1)

The reason that in the problem above it's x+7 is because 7 is a negative number, so we would do the opposite of subtraction, which is addition.

Answer:

22.5¢ per oz

Step-by-step explanation:

24 oz cost = $5.30

1 oz cost = $5.40/24 = 22.5¢ per oz

Answer:

0.22.5

Step-by-step explanation:

Answer:

Domain=[67,78]

Step-by-step explanation:

To find domain:

  ⇒ must define what is a domain

       ⇒ Domain is the set of input values or the values of the x-axis of

           graph that is covered by the function

Based on the definition:

    ⇒ 67 ≤ x ≤ 78 is the domain of the function

Answer: 67 ≤ x ≤ 78 where x is a whole number

Hope that helps!

If the point (30, 75) satisfies the equation, then the point will lie on the line. Then the correct option is B.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The point (2,5) is represented on the graph.

Then the equation of the line passing through (2, 5) and the origin will be given as

y - 0 = [(5 - 0) / (2 - 0)] (x - 0)

    y = 5/2 x

 2y = 5x

If the point (30, 75) satisfies the equation, then the point will lie on the line.

2 × 75 = 5 × 30

   150 = 150

The graph is given below.

More about the linear system link is given below.

https://brainly.com/question/20379472

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