James has a bicycle. Each wheel has diameter 45cm. James cycles his bicycle in a straight line in the playground. The front wheel makes 15 complete revolutions. How far does the bicycle travel? Give your answer in metres.

It takes 48 hours if 12 people built the same wall.

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

3 x 12 x 129

Step-by-step explanation:

You can get your answer

Answer:

625πmm³

Step-by-step explanation:

The exact volume of the figure will be the sum total of volume of the two comes and one cylinder.

Volume of a cone = 1/3πr²h

r is the radius of the cone

h is the height of the cone

Since the cone are 15mm high, their individual height = 15mm

Diameter = 10mm, radius = 5mm

Volume of a cone = 1/3× π × 5²×15

Volume of a cone = 1/3 × π × 25 × 15

Volume of a cone = 125πmm³

Volume of both cones = 2(125π) = 250πmm³

Volume of a cylinder = πr²h

Height of the cylinder = 15mm

Radius of the cylinder = 5mm

Volume of the cylinder = π(5)²×15

Volume of the cylinder = 375πmm³

Volume of the composite solid = volume of the two cones + volume of cylinder.

= 250πmm³+375πmm³

= 625πmm³

Answer: 625pimm^3

Step-by-step explanation:

Answer:

No 6 1/2 is 6.5, which is not 73

Step-by-step explanation:

Answer:

no, 6+1/2 equals 6'5

if you mean 6*1/2, it still doesn't equal 73 but 3

Step-by-step explanation:

Answer:

[tex]x = 10[/tex]

Step-by-step explanation:

[tex]3x + 35 = 5x + 5 \\ 35 - 5 = 5x - 3x \\ 20 = 2x \\ \frac{20}{2} = \frac{2x}{2} \\ x = 10[/tex]

These are corresponding angles

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Might be wrong but try 47.5ft^2

Step-by-step explanation:

(3*2)/2=3

(3*3)/2=4.5

3+4.5+(4*10)=47.5

Answer:

Duh MeepMeepMeepMeep

Step-by-step explanation:

bc I said

Answer:

Meepmeepmeepmeep or Meeeeeeeep.

Step-by-step explanation:

Meeeeeeeep has all of the es. Meepmeepmeepmeep has everything.

Answer:

70 degrees

Step-by-step explanation:

The angle opposite x and x itself are vertical angles, meaning that they have the same angle measure. Since the sum of the interior angles of a triangle is 180 degrees:

x+55+55=180

x+110=180

x=180-110=70

Hope this helps!

Answer:

-4/3

Step-by-step explanation:

Answer:

4 trucks

Step-by-step explanation:

Here, we are told that 5 trucks carry a load of 20 m^3 each

This means that the total amount of load is 5 * 20 = 100 m^3

Now, we are having this load carried by a number of trucks with each carrying 25 m^3

The number of trucks that would carry the load would be 100 m^3/25 m^3 = 4

Answer:

32

Step-by-step explanation:

b^2c^1

Let b=-4 and c= 2

(-4)^2 ( 2)^1

16 * 2

32

Answer:

The correct answer is

-32

Step-by-step explanation:

All you need to do is plug in -4 and 2 into the equation to get:

4^2 times 2^1

This equals ...

-32

Hope this helps!

- xoxo Quinnisa

Answer:

there are 20 2 digit numbers less than 30.

out of all of them 6 are prime

then there is only a 6/20 chance that it will be a prime number, or a 30% chance.

the probability that a randomly chosen two-digit number less than 30 is a prime number is approximately 0.172 or 17.2%.

To determine the probability that a randomly chosen two-digit number less than 30 is a prime number, we first need to identify the prime numbers within this range.

The prime numbers less than 30 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29.

Out of these ten prime numbers, we need to count how many are two-digit numbers less than 30. There are five such prime numbers: 11, 13, 17, 19, and 23.

Since we are considering all possible two-digit numbers less than 30, which is a total of 29 numbers, the probability of randomly selecting a prime number is:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 5 / 29

Hence, the probability that a randomly chosen two-digit number less than 30 is a prime number is approximately 0.172 or 17.2%.

Learn more about probability here

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Answer:

a linear function with slope 3 and y intercept -6

Step-by-step explanation:

f(x) = 3x - 6 is definitely a linear function with slope 3 and y intercept -6.

Next time please be sure to share the answer choices.  Thanks.

Given function of [tex]f(x)= 3x-6[/tex] represents a linear function representing straight line with no maximum and no minimum. Slope of the given line [tex]= 3[/tex] and y - intercept [tex]= -6.[/tex]

" Linear function is defined as the relation between variables with highest exponent equals to one".

According to the question,

Given

Function[tex]f(x)= 3x-6[/tex]

[tex]f(x)= 3x-6[/tex] is function in one variable x with highest exponent 1.

Therefore, it is a linear function.

Represents the straight line.

x increases y also increases.

No maximum and minimum point.

Compare it with general equation of line [tex]y = mx + c[/tex]

Slope of the line [tex]= 3[/tex]

Y- intercept [tex]= -6[/tex]

Hence,  function of [tex]f(x) = 3x-6[/tex] represents a linear function representing straight line with no maximum and no minimum. Slope of the given line [tex]= 3[/tex] and y - intercept [tex]= -6.[/tex]

Learn more about the linear function here

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Answer:

3/35

Step-by-step explanation:

Here, we want to know the constant of proportionality in this direct variation scenario

Since it is a direct variation, the form we are having would be;

x = ky

where x and y directly vary with each other and k is the constant of proportionality

Now, for the first relation

3 = 35k

for the second

9 = 105k

Thus k would be

3/35 which is the same as 9/105

Kindly note that 9/105 can be reduced to 3/35

So linking the number of weeks to the number of stamps collected, the constant of proportionality is 3/35

The answer is A.) y =35/3x

Answer: 45 degrees

Step-by-step explanation:

Plato

Answer:

(6, - 3 )

Step-by-step explanation:

Given f(x) then f( x + c) represents a horizontal translation of f(x)

• If c > 0 then a shift to the left of c units

• If c < 0 then a shift to the right of c units, thus

y = f(x - 4) represents a shift to the right of 4 units, so

(2, - 3 ) → (2 + 4, - 3 ) → (6, - 3 )

The maximum point on the graph after translation y = f( x -4) is (6 , -3)

Translation of a graph is the movement of the graph either in horizontal direction or vertical direction .

Horizontal translation to the left is given by f (x+ c) ,c >0

: (x, y) → (x- c , y)

Horizontal translation to the right is given by f (x- c) ,c >0

: (x, y) → (x+ c , y)

Given that the maximum point on the graph of the equation

y = f(x) is (2,-3)

To find the maximum point on the graph of the equation y = f(x-4)

f(x -4) is Horizontal Translation to the right with 4 units , c= 4

then  (x, y) → (x+ c , y)

Thus the maximum point (2,-3) is moved to ( 2 +c , -3)

⇒ (2+ c , -3) = (2+4 , -3) = ( 6 , -3)

Therefore, the maximum point of the graph of the equation  y = f(x-4) becomes (6,-3)

Also, Learn more abut translation of graphs from the link below:

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Answer:

For purple;

P(p) = 337/848 = 0.40

For white;

P(w) = 511/848 = 0.60

Step-by-step explanation:

Given;

Number of plants with purple flowers P = 337

Number of plants with white flowers W = 511

Total T = 337 + 511 = 848

For purple;

the empirical Probability that a plant had purple flowers P(p) is

P(p) = Number of plants with purple flowers/total number of plants

P(p) = P/T

Substituting the values, we have;

P(p) = 337/848 = 0.40

For white;

the empirical Probability that a plant had white flowers P(w) is

P(w) = Number of plants with white flowers/total number of plants

P(w) = W/T

Substituting the values, we have;

P(w) = 511/848 = 0.60

Answer:

(-3, 1.5)

Step-by-step explanation:

Take the averages of the x-coordinates and y-coordinates of the 2 points

-5.5 + -0.5 = -6. Divide by 2 to get the average: -6/2 = -3. So, -3 will be the x coordinate of the midpoint.

-6.1 + 9.1 = 3. Divide by 2 to get the average: 3/2 = 1.5. So, 1.5 will be the y coordinate of the midpoint.

The midpoint will be (-3, 1.5)

Answer:

rational

Step-by-step explanation:

Answer:

it's Rational.......

Answer:

$400

Step-by-step explanation:

$500 multiplied by 8% = $40

If you multiply $40 by 10 years that equals $400.

The values of c and d are c = 4.2, d=−12, c = −5, d=−8/4 and c = −1/5, d=11

The complete question is added as an attachment

From the question, we have the following parameters that can be used in our computation:

d = integers

c = rational numbers

Integers are numbers without decimal and rational numbers can be expressed as fractions

Using the above as a guide, we have the following possible values

c = 4.2, d=−12, c = −5, d=−8/4 and c = −1/5, d=11

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Answer:

72π

Step-by-step explanation:

To solve this, we just have to find the volume of the cylinder.

We know the formula for the volume of a cylinder is V=πr^2h as given.

That said, we can plug our values in.

V=π3^2(8)

Simplify.

V=π9*8

V=72π

It needs 72π cubic inches of water.

This is also equivalent to around 226.19 cubic inches of water.

Answer:

The answer is -32, -18, -11, 8, 41.

Step-by-step explanation:

For negative number, the greater the number the smaller it is. For example, -2 is smaller than -1. ( -2 < -1 )

For positive number, the greater the number the larger it is. For example, 1 is smaller than 2. ( 1 < 2 )

Answer:

-32, -18, -11, 8, 41

Step-by-step explanation:

Answer:

the median increases by 0

Step-by-step explanation:

Answer:

You have 2 equations:

One for area: A = πr²

One for circumference: C = 2πr

If you are given the area, you plug the area in the area equation under A. You then divide both sides by pi (π) so you are left with r². You take A/π = r² and you square root both sides to get r.

When you get r (the radius) you can then plug r into C = 2πr. You solve (multiply all numbers together) and you have your final answer as the circumference.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

[tex]\sqrt[4]{\dfrac{81}{16}a^8b^{12}c^{16}}= \\\\\sqrt[4]{\dfrac{3^4}{2^4}(a^2)^4(b^3)^4(c^4)^4} = \\\\\dfrac{3}{2}a^2b^3c^4[/tex]

Therefore, the correct answer is choice A. Hope this helps!

Answer:

39/46

Step-by-step explanation:

Now, the key to answer this first is knowing the value of cos θ

Mathematically, when we have sin θ

What we have is the ratio of the opposite to the hypotenuse side

Thus, here, since sin θ = 5/13, this means that the opposite is 5 while the hypotenuse is 13

Now to complete the 3rd side of the triangle, we need to use the Pythagoras’s theorem

This states that the square of the length of the hypotenuse equals the sum of the squares of the two other sides

So let’s say the adjacent or the third side is d

This means that;

13^2 = 5^2 + d^2

d^2 = 13^2 - 5^2

d^2 = 169-25

d^2 = 144

d = √(144)

d = 12

The cosine of the angle mathematically is the ratio of length of the adjacent to that of the hypotenuse

and that is 12/13

Hence Cos θ = 12/13

What we need last to answer the question is cos2 θ

Using trigonometric identity;

Cos2θ = cos^2 θ - sin^2 θ

Inputing the values of sine and cos of the angle theta, we have;

cos2θ = (12/13)^2 - (5/13)^2

cos2θ = 144/169 - 25/169 = 119/169

Thus;

cosθ/(cos2θ + sinθ) = 12/13/(119/169 + 5/13)

= 12/13/(184/169)

= 12/13÷ 184/169

= 12/13 * 169/184

= (13 * 3)/46 = 39/46

Answer:

c. 25

Explanation:

write no more than one radical

[tex]\sqrt{125} *\sqrt{5} \\\sqrt{5} \sqrt{5}\sqrt{5}\\\sqrt{5} \sqrt{5 * 5} \\5\sqrt{25}[/tex]

simplify

[tex]5\sqrt{25} \\25[/tex]

Therefore, the answer is c) 25.

Answer:

c) 25

Step-by-step explanation:

√125 x √5= √25*5*5 = √25*25= 25

Answer:

Perimeter of the cross section = (10+4√5)inches = 18.9in

Area of the cross section= = 10√5 in²

Step-by-step explanation:

Find attached the diagrams used in solving the question

Dimensions of granite = 4in by 2in

Length = 4in

Breadth = 2in

Height = 5in

When granite is cut lengthwise along it's diagonal, the cross section formed by the cut will be a rectangle.

Perimeter of the cross section = 2(height+breadth)

Breadth = diagonal of the cross section

The diagonal of a rectangle divides the rectangle into two right angled triangles.

We would apply Pythagoras theorem to find the length of the diagonal

Hypotenuse ² = opposite ²+adjacent ²

Hypotenuse = length of diagonal

Hypotenuse ² = 2² + 4²

Hypotenuse ² = 4+16 = 20

Hypotenuse = √20 = 2√5

Perimeter of the cross section = 2(height+breadth) =2(5+2√5)

Perimeter of the rectangle = 10+4√5 inches = 18.9in

Area of the cross section= diagonal × height

Area of the cross section= 2√5 × 5

Area of the cross section= = 10√5 in²

Answer:

The answer is B. Two Foci, hope this helps! :)

Answer:

center of focus

Step-by-step explanation:

i hope this help "whole lotta love" NUNU

Answer:

257 square m

Step-by-step explanation:

Area of the figure

= Area of square + Area of semicircle

[tex] = {10}^{2} + \frac{1}{2} \pi {r}^{2} \\ \\ = 100 + \frac{1}{2} \times 3.14 \times {10}^{2} \\ \\ = 100 + \frac{1}{2} \times 3.14 \times 100 \\ \\ = 100 + 3.14 \times 50 \\ \\ = 100 + 157 \\ \\ = 257 \: {m}^{2} [/tex]

Answer:

257 square meters

Step-by-step explanation:

i just took the test