A solid box with height 60cm, width 10cm and length 10cm needs to be painted.
The paint costs £0.17 per cm2.
How much will it cost to paint the outside of the box?

Answer:

60 inches

Step-by-step explanation:

Add 59+61 =120 which you divide by 2 for the mean of 60.

Answer:

9 ft.

Step-by-step explanation:

Rectangular Prism’s Volume:

[tex]\displaystyle \large{V=\sf{width*length*height}}[/tex]

Given:

width = 2.1 ft

length = 4 ft

height = j

volume = 75.6 cubic feet

Therefore, apply given information in the formula:

[tex]\displaystyle \large{75.6=2.1*4*j}\\\displaystyle \large{75.6=8.4j}[/tex]

Divide both sides by 8.4 to solve for j.

[tex]\displaystyle \large{\dfrac{75.6}{8.4}=\dfrac{8.4j}{8.4}}\\\displaystyle \large{\dfrac{75.6}{8.4}=j}\\\therefore \displaystyle \large{j=9}[/tex]

Henceforth, the value of j is 9 feet.

Answer:

34

Step-by-step explanation:

Distance - formula

Answer:

34

Step-by-step explanation:

best to use the formula: √(X1-X2)²+(Y1-Y2)²

(If u want to know why, it's determinated by pithagoras' theory.)

=>√(30-0)²+(16-0)²=√900+256=√1156=34

Answer:

1142

Step-by-step explanation:

(all)2185-(7th)1043=1142(8th)

[tex] \mathbb\red{4\:turning\:points} [/tex]

Answer:

x=5/2 x=-4

Step-by-step explanation:

2x^2+3x-20 = (2x-5)*(x+4)

2x-5 = 0 x=5/2

x+4 = 0 x=-4

Answer: X= -4

Step-by-step explanation:

Answer:

D. 3 1/12

Explanation:

[tex]\rightarrow \sf 4\dfrac{1}{3} -1\dfrac{1}{4}[/tex]

convert into improper fraction

[tex]\rightarrow \sf \dfrac{13}{3} -\dfrac{5}{4}[/tex]

make the denominators same. 12 is the common factor of both 3 and 4

[tex]\rightarrow \sf \dfrac{13(4)}{12} -\dfrac{5(3)}{12}[/tex]

simplify

[tex]\rightarrow \sf \dfrac{52}{12} -\dfrac{15}{12}[/tex]

join both fraction

[tex]\rightarrow \sf \dfrac{52-15}{12}[/tex]

simplify

[tex]\rightarrow \sf \dfrac{37}{12}[/tex]

convert into mixed fraction

[tex]\rightarrow \sf 3\dfrac{1}{12}[/tex]

Answer:

Parallel: -3

Perpendicular: 1/3

Step-by-step explanation:

First I would convert the equation into slope-intercept form to more easily identify the slope:

[tex]y+4=-3x-3\\ y=-3x-7[/tex]

Slope-intercept form is defined as y=mx+b where m is the slope and b is the y-intercept so we can identify the slope of this line as -3.  

When a line is parallel to another line, this means that they have the same slope, therefore the slope of the line parallel to the equation is -3.  

Perpendicular lines will have slopes that are negative reciprocals of each other, the negative reciprocal of -3 is 1/3; therefore, the slope of the line perpindicular to the equation is 1/3.

Answer:

parallel slope = -3

perpendicular slope: [tex]\sf \bold{\frac{1}{3} }[/tex]

Explanation:

comparing with y = m(x) + b      [ "m" is the slope, "b" is the y-intercept ]

Parallel/Tangent slope:

m₁ = m₂                (same)

Perpendicular/Normal slope:

m₁ * m₂ = -1           (negatively reciprocal)

⇒ Here parallel slope:

⇒ Here perpendicular slope:

Answer:

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Since the angles in a triangle add to 180 degrees, the third angle is 180-70-45=65 degrees

The height of the trapezoidal is 4.33 feet. Then the area of the tarp to cover the pool is 51.96 square feet.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezoidal, one pair of opposite sides are parallel.

A hotel builds an isosceles trapezoidal pool for children. It orders a tarp to cover the pool when not in use.

Then the area of the trapezoidal will be

Area = 0.5(sum of parallel sides) height

Then the height of the trapezoidal will be

[tex]\rm h = 5 \times \sin 60 \\\\h = 4.33 \ ft[/tex]

Then the area of the trapezoidal will be

Area = 0.5 × (10 + 12) × 4.33

Area = 51.96 ft²

The area of the tarp to cover the pool is 51.96 square feet.

More about the trapezoidal link is given below.

https://brainly.com/question/8643562

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Answer:

1. 120 degrees

2. 4.3

3. 47.3

Step-by-step explanation:

PLATO/EDMENTUM

Answer:

Below.

Step-by-step explanation:

a) reflection over y-axis.

b) dilation.

Answer:

c) -2y = 10x + 6

Step-by-step explanation:

The equation of a line in slope-intercept form is:

[tex]y=mx+b[/tex]

The variables stand for:

[tex]y:$ y-coordinate of any point on the line\\$x:$ x-coordinate of any point on the lien\\$m: $ Slope of the line\\$b: $ y-intercept of the line; where the line meets the y-axis[/tex]

Plugging in the given information into the equation:

[tex]y=-5x+(-3)\\y=-5x-3[/tex]

Go through the answer choices:

a)  2y = -5x - 3

Divide both sides of the equation by 2

[tex]y=-\frac{5}{2}x-\frac{3}{2}\rightarrow\text{Incorrect!}[/tex]

b) -2y = 10x - 6

Divide both sides of the equation by -2

[tex]y=\frac{10}{-2}x-\frac{6}{-2}\\y=-5x-(-3)\\y=-5x+3\rightarrow\text{Incorrect!}[/tex]

c) -2y = 10x + 6

Divide both sides of the equation by -2

[tex]y=\frac{10}{-2}x+\frac{6}{-2}\\y=-5x+(-3)\\y=-5x-3\rightarrow\text{Correct!}[/tex]

d) 2y = 10x - 6

Divide both sides of the equation by 2

[tex]y=\frac{10}{2}x-\frac{6}{2}\\y=5x-3\rightarrow\text{Incorrect!}[/tex]

Therefore the answer is c) -2y = 10x + 6

Additional Comments:

We can only divide both sides of the equation by 2 and/or -2 because of the Division Property of Equality. This property states that if we divide one side of the equation by a certain quantity, we must divide the other side by the same quantity so that the equation remains equal.

Using derivatives, it is found that the correct option is given by:

A. The expression 2x² + 20x + 32 represents the average rate of increase in the total number of clubs in the network across all states.

It is the rate of change of the function over a period of time.

In this problem, the total number of people in the book club after x months is given by:

f(x) = 2x³ + 20x² + 64x + 64

The derivative is given by:

f'(x) = 4x² + 40x + 64 = 2(2x² + 20x² + 32).

It represents the average rate of change across all states, hence option A is correct.

More can be learned about derivatives at https://brainly.com/question/2256078

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The flour needed for 18 dozen cookies is 4.5 pounds.

The number of cookies that can be made with 10 pounds of flour is 40 cookies.

The first step is to determine the flour needed for 1 dozen cookies.

Flour needed = 3/12

Flour neeeded for 18 dozens = 3/12 x 18 = 4.5 pounds

The first step is to determine the number of cookies that can be made with one pound of flour:

12/3 = 4

Number of cookies that can be made iwth 10 pounds of flour = 4 x 10= 40 cookies

To learn more about multiplication, please check: https://brainly.com/question/13814687

Answer:

14

Step-by-step explanation:

7(length) times 4(height) equals 28

28/2= 14

Answer: (2, 4)

Step-by-step explanation:  If it is reflected over the x-axis then the coordinates of A is (2, 4)

Answer:

2.6 cm is the correct answer

Step-by-step explanation:

Answer:

2.6 cm

Step-by-step explanation:

it is the shortest

Answer:

I am stuck on this two

Step-by-step explanation:

rectangle, 6 8 14 12

The major key with 2 flats is :

B♭ major

Answer:

The key of B♭ major has two flats

Step-by-step explanation:

An accidental sign consisting of two flat symbols ♭that lower a note by two half steps two semitones. The double flat symbol alters the pitch of the note to which it is attached as well as any subsequent occurrence of the same note identical line or space in the same measure.

Hope this helps

~Heaven~

Answer:

   1/2

Step-by-step explanation:

The ratio of interest is ...

  (1/2 cm)²/(1/2 cm²) = (1/4)/(1/2) = 1/2

One-half centimeter squared is half of 1/2 square centimeter.

Answer:

Line up the decimal points. **Answer is Least to greatest: 10.5 , 11, 19**

Step-by-step explanation:

You need to line each number up.

10.5

11.0

19.0

The reason why 11 and 19 have a decimal point and zero at the end is because you need to do that in order to compare the numbers.

This problem is also a little common sense because 10.5 is the smallest, 19 is the largest while 11 is in the middle.

Answer:

Step-by-step explanation:

Formula

The basic formula is

y = mx + b

m = the slope

b = the y intercept

What you know so far

y = mx + b.

You know that the slope = -3/4

y = - 3/4 x  + b

y intercept

The point is used to find the y intercept.

x = - 8

y = 5

Subtitute these two values into the equation above.

5 = -3/4 * (-8) + b          Multiply the factors on the right

5 =  6 + b                      Subtract 6 from both sides

5 - 6 = b                       Combine

-1 = b

Answer: y = -(3/4) x - 1

Answer:

[tex]\Longrightarrow:\boxed{\sf{y=-\dfrac{3}{4}x-1}}[/tex]

Step-by-step explanation:

Use the slope-intercept form.

Slope-intercept form:

[tex]\Longrightarrow: \sf{y=mx+b}[/tex]

X= (-8)

Y= 5

[tex]\sf{5=-\dfrac{3}{4}*(-8)+b}[/tex]

5=6+b

Subtract the sign.

5-6=b

Solve.

Isolate the term of b from one side of the equation.

Subtract the numbers from left to right.

⇒ 5-6=-1

⇒ -1=b

Change the equation.

⇒ b=-1

So, therefore, the y-intercept is -1.

[tex]\Longrightarrow: \boxed{\sf{y=-\dfrac{3}{4}x-1}}[/tex]

I hope this helps! Let me know if you have any questions.

Answer:

slope = - 2

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 0 ) and (x₂, y₂ ) = ( - 1, 2) ← 2 points on the line

m = [tex]\frac{2-0}{-1-0}[/tex] = [tex]\frac{2}{-1}[/tex] = - 2

Answer:

[tex]slope = -2[/tex]

Step-by-step explanation:

Step 1:  Determine two points

We need to take two points off of the equation that is used in thsi graph and we can see that we have (0, 0) and (-1, 2)

Step 2:  Determine the slope

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{2 - 0}{-1 - 0}[/tex]

[tex]m = \frac{2}{-1}[/tex]

[tex]m = -2[/tex]

Answer:  [tex]slope = -2[/tex]

Answer:

10.4

Step-by-step explanation:

cosine rule=[tex]a^{2}=b^{2} +c^{2} -2bc*cosa[/tex]

                [tex](2\sqrt{3}) ^{2}=(x+2)^{2} +x^{2} -2(x+2)x*cos60\\12=x^{2} +4x+4+x^{2} -2x^{2} -4x*\frac{1}{2}\\2x-8=0\\x=4\\Area=\frac{1}{2}absinc\\ = \frac{1}{2}*6*4*sin60\\\\ =6\sqrt{3}\\=10.4(3 sig.fig)[/tex]

Transforming the solid line to the dotted line would change the equation of the functions

The equation of the dotted line is: [tex]f(x) = -\sqrt{x - 6} + 3[/tex]

The equation of the solid line is given as:

y = √x

The solid line undergoes the following transformation to match the dotted line

The rule of the above sequence of transformations is:

(x,y) -> (x - 6, -y + 3)

Using the above transformation rule, the equation of the dotted line is:

[tex]f(x) = -\sqrt{x - 6} + 3[/tex]

Read more about function transformation at:

https://brainly.com/question/17586310

Answer:

Subtract the final price from the original price. Divide this number by the original price. Finally, multiply the result by 100.

Step-by-step explanation: