The ruins of a pyramid has 49 blocks in the bottom row. Each additional row has two less blocks than the first. If there are 15 rows in total:

Using Cavalieri’s Principle, the height of the oblique cylinder with the given volume and base radius is 6cm.

Option A) is the correct answer.

From Cavalieri's principle, the volume of an oblique cylinder is expressed as;

V = base area × h

V = πr² × h

Given that;

V = πr² × h

486πcm³ = π × ( 9cm )² × h

486πcm³ = π × 81cm² × h

486πcm³ = 81πcm² × h

h = 486πcm³ / 81πcm²

h = 6cm

Using Cavalieri’s Principle, the height of the oblique cylinder with the given volume and base radius is 6cm.

Option A) is the correct answer.

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Answer:

the answer is 48m²

Step-by-step explanation:

mark me brainlist please!!

Answer:

A

Step-by-step explanation:

It mentions she is running a 5K race. That means the distance of the race is fixed and will not change. That means :

Length of the race is the independent variable and the dependent variable is time.

Answer:

The correct answer is letter A

The linear equation that gives the height on the x-th month is:

y = 2.5*x + 74.5

This will be modeled with a linear equation of the form:

y = a*x + b

Where a is the slope and b is the y-intercept.

Remember that for a line with the points (x₁, y₁) and (x₂, y₂), the slope is given by:

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

Here we have the two points (3, 82) and (7, 92). Where the first value is the number of months and the second value is the height.

So the slope is:

[tex]a = \frac{92 - 82}{7 - 3} = 10/4 = 2.5[/tex]

Then the linear equation is:

y = 2.5*x + b

To get the value of b, we use the fact that when x = 3, we have y = 82,

82 = 2.5*3 + b

82 = 7.5 + b

82 - 7.5 = b = 74.5

Then the linear equation is:

y = 2.5*x + 74.5

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Answer: 13.3

Step-by-step explanation:

Since angles in a triangle add to 180 degrees, we know that in triangle UWV, [tex]m\angle U=50^{\circ}[/tex]. Thus, the triangles are similar by AA.

Since corresponding sides of similar triangles are proportional,

[tex]\frac{x}{24}=\frac{20}{36}\\x=(20/36)(24)=\boxed{13.3}[/tex]

Answer:

(a)  128 ft

(b)  4 s

(c)  Vertex:  (1, 144)

Step-by-step explanation:

Given information:

The height of the projectile at launch is the value of h(t) when t = 0 (the y-intercept).

Therefore, from inspection of the graph, the y-intercept is (0, 128).

So the height of the projectile at launch is 128 ft.

The length of time it took for the projectile to land is the time from the beginning (when t = 0) to when the height is 0 (the x-intercept).  

From inspection of the graph, the x-intercept is (4, 0)

So the length of time it took for the projectile to land is 4 s.

The vertex is the turning point (minimum/maximum point).

Therefore, from inspection of the graph, the vertex is (1, 144).

The vertex represents the time and height at which the projectile was at its maximum.  So at the time of 1 second, the projectile was at its maximum height of 144 ft.

Answer:

D

Step-by-step explanation:

it shows the correct one

The 2 because I am goated

Step-by-step explanation:

Answer:

$46.272

Step-by-step explanation:

The each type of angle are discussed below

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.

If the hours hand point to the hour 1 and minute hand at 12 then

angle will be acute.

If the hours hand point to the hour 2 and minute hand at 12  then

angle will be acute.

If the hours hand point to the hour 3 and minute hand at 12  then

angle will be right angle .

If the hours hand point to the hour 4 and minute hand at 12  then

angle will be obtuse.

If the hours hand point to the hour 5 and minute hand at 12  then

angle will be obtuse.

If the hours hand point to the hour 6 and minute hand at 12  then

angle will be straight angle .

If the hours hand point to the hour 7 and minute hand at 12  then

angle will be reflex.

If the hours hand point to the hour 8 and minute hand at 12  then

angle will be reflex.

If the hours hand point to the hour 9 and minute hand at 12  then

angle will be reflex.

If the hours hand point to the hour 10 and minute hand at 12  then

angle will be reflex.

If the hours hand point to the hour 11 and minute hand at 12  then

angle will be reflex.

If the hours hand point to the hour 12 and minute hand at 12  then

angle will be Complete angle.

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Answer:

342

Step-by-step explanation:

First, there are 9 one-digit numbers, so 9x1=9. Next, there are 90 two-digit numbers, so 90x2=180. There are 51 numbers between 100-150, so 51x3=153. Now, we do 9+180+153=342 digits.

Answer:

Step-by-step explanation:

Solution

Break the numbers down by the number of digits in that sequence.

Number of digits 1 to 9 =                                        9

Number of digits from 10 to 99

There are 90 numbers between 10 and 99

Each has 2 digits

The total number of digits is                               180

Number of digits from 100 to 150

There are 51 numbers between 100 and 150

Each has 3 digits

The total number of digits = 3*51                       153     Add

Total number of digits =                                      342

Answer: 342

The given graph has no element in its solution set

The given graph represents the graph of two different linear equations.

From the graph, we can see that both lines are parallel.

Parallel lines have no point of intersection.

And as such they do not have a solution

Hence, the given graph has no element in its solution set

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Answer:

A.g, a.f ,a.b

Step-by-step explanation:

The values of the angles are

i) acute ∠AOB = 10°

ii) acute ∠COD = 25°

iii) acute ∠BOC = 40°

iv) acute ∠AOD = 75°

From the question, we are to determine the measures of the angles

i) acute ∠AOB

From the given diagram,  

∠AOB = 10°

ii) acute ∠COD

From the given diagram,  

∠COD= 25°

iii) acute ∠BOC

From the diagram, we can write that

∠AOB+∠BOC+ ∠COD + ∠DOE = 90° (Angles at a right angle)

10° + ∠BOC + 25° + 15° = 90°

∠BOC + 50° = 90°

∠BOC = 90° - 50°

∠BOC = 40°

iv) acute ∠AOD

From the diagram,

∠AOD = ∠AOB + ∠BOC +∠COD

∠AOD = 10° + 40° + 25°

∠AOD = 75°

Hence, the values of the angles are

i) acute ∠AOB = 10°

ii) acute ∠COD = 25°

iii) acute ∠BOC = 40°

iv) acute ∠AOD = 75°

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Answer:

4/3 = m

Step-by-step explanation:

Since you have been given the value of two points, you can use the point-slope formula to find the slope. This general structure of this formula is:

y₁ - y₂ = m(x₁ - x₂)

In this equation, "m" represents the slope, "y₁" and "x₁" represent the values in the first point, and "y₂" and "x₂" represent the values in the second point,

To find the slope, substitute the values of each point into the formula and simplify.

Point 1: (3, 5)

Point 2: (0, 1)

y₁ - y₂ = m(x₁ - x₂)                  <----- Point-slope form

5 - y₂ = m(3 - x₂)                   <----- Plug values from Point 1 into equation

5 - 1 = m(3 - 0)                      <----- Plug values from Point 2 into equation

4 = m(3 - 0)                           <----- Simplify left side

4 = m(3)                                 <----- Simplify inside the parentheses

4/3 = m                                  <----- Divide both sides by 3

I am almost certain that my math is correct, yet my answer does not match any of the answers given. Perhaps I have been given the wrong points? For instance, the answer would be A.) if the value of Point 2 was (0,4).

The greatest square that the gym would be able to use is the one that is of 19.6sq/m

The area of a triangle = L*W

= 24 * 16

= 384

To get the greatest square that can be gotten from the size of the gym would be

√384 = 19.6

Hence we can conclude that the greatest square table that can be used is 19.6 feet

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Answer:no

Step-by-step explanation:

it’s equal to -10 + 10h by the commutativity of addition and subtraction

Answer:

Step-by-step explanation:

divide $8 in the ratio 2:3​

8 : (2 + 3) = 1.6 (unity)

1.6 * 2 = 3.2 (ratio2)

1.6 * 3 = 4.8 (ratio 3)

----------

3.2 + 4.8 = 8

the answer is good

Answer:

53712.4

Step-by-step explanation:

10^3 = 1000

To multiply a decimal by 1000, move the decimal point in the multiplicand by three places to the right.

so, 53.7124 becomes 53712.4

hope this helps :)

[tex]\textbf{Notation one:}~~ \dfrac 76\\\\\textbf{Notation two:} ~ \text{7 to 6}[/tex]

Answer:

P(D) = 0.65

Step-by-step explanation:

it's like following a path on map

each line is like a street length

First, it's 0.5 to A and then 0.6 to D.

Then, it's 0.5 to B and 0.7 to D.

P(D) = (0.5 times 0.6) + (0.5 times 0.7) =

P(D) = 0.30 + 0.35 = 0.65

A tree diagram is simply a way of representing a sequence of events.

Tree diagrams are particularly useful in probability since they record all possible outcomes in a clear and uncomplicated manner.

like chance of getting heads or tails on coin flips

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nrich.maths.org

math is fun

The values of x in both figures are 45 and 34, respectively.

Start by calculating the angle CAB using:

CAB + ABC + BCA = 180 --- angles in a triangle

The triangle is an isosceles triangle.

So, we have:

CAB + ABC + CAB = 180

Evaluate

2CAB + 25 + 75 = 180

This gives

CAB = 40

Calculate angle BEA using:

BEA + CAB + ABE = 180 --- angles in a triangle

This gives

BEA + 40 + 25 = 180

Evaluate

BEA = 115

Vertical angles are equal.

So, we have:

CED = BEA = 115

Calculate angle EDC using:

EDC + CED + DCE = 180 --- angles in a triangle

This gives

EDC + 115 + 30 = 180

Evaluate

EDC = 35

Opposite angles of quadrilaterals add up to 180.

So, we have:

x + EDC + ABC = 180

This gives

x + 35 + 25 + 75 = 180

Evaluate

x = 45

Hence, the value of x is 45

Start by calculating the angle DEC using:

DEC + CDE + EED = 180 --- angles in a triangle

This gives

DEC + 18 + 30 = 180

Evaluate

DEC  = 132

Vertical angles are equal.

So, we have:

AEB = DEC = 112

Calculate angle EAB using:

EAB + AEB + ABE = 180 --- angles in a triangle

This gives

EAB + 112 + 42  = 180

Evaluate

EAB  = 26

Triangle ABC is an isosceles triangle.

So, we have:

BCE = EAB  = 26

Calculate angle CBE using:

CBE + BCE + CEB = 180 --- angles in a triangle

Where CEB = 180 - DEC --- angle on a straight line

So, we have:

CBE + BCE + 180 - DEC = 180

This gives

CBE + 26 + 180 - 112 = 180

Evaluate

CBE  = 86

Opposite angles of quadrilaterals add up to 180.

So, we have:

x + EDC + ABC = 180

This gives

x + 18 + 42 + 86 = 180

Evaluate

x = 34

Hence, the value of x is 34

Note that the figures are labeled to ease explanation (see attachment)

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Answer:

Step-by-step explanation:

Solve for 1st answer:

Solve for 2nd answer:

Actual answer:

Answer: The ten thousand digit is 6.  And the millions digit is 4. So the answer is 10.

The value of n in the mathematical statement is 0.64

The statement is given as:

n multiplied by -5/8 equals -0.4

Rewrite properly as:

n * -5/8 = -0.4

Multiply both sides by -1

n * 5/8 = 0.4

Multiply both sides by 8/5

n = 0.64

Hence, the value of n in the mathematical statement is 0.64

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Answer:

750 grams of 60% alloy

Step-by-step explanation:

Define x = amount of 60% alloy and y = amount of 20% alloy

Equating the amounts of gold:

0.6x+0.2y = 1000(0.5)

Since there must be 1000 grams total:

x+y = 1000

Writing the 2 resulting equations together:

0.6x + 0.2y = 500

x + y = 1000

Multiply the first equation by 5:

3x + y = 2500

x + y = 1000

Subtracting the 2nd equation from the 1st:

2x = 1500

x = 750

Answer: 750 grams of 60% alloy

Answer:

I think you may have made a typo, as it is extremely unlikely that a trashcan is 314 feet tall.  I will assume that you meant 3.14 feet.

Step-by-step explanation:

We already have the base, so we can already cut out one step.  If we were not given the base, however, we would simply multiply the length by the width of the prism.  Next we multiply the base by the height (3 X 3.14) to get the volume of the prism, 9.42 cubic feet.  In the case that there was no typo, and 314 was the correct height, the volume would be 942 cubic feet.

Volume

But unfortunately there is no option Present .

Let's correct question

make height =3.14ft

Volume=

Some how nearly present is 9-3/4 ft³ i.e 9.75ft³

Answer:

To calculate the perimeter of a triangle, add the length of its sides. For example, if a triangle has sides a, b, and c, then the perimeter of that triangle will be P = a + b + c.

Answer:

1) 21.24cm

2)19.8ft

3)22.84mm [2.284cm]

Step-by-step explanation:

To calculate the perimeter of a triangle, add the length of its sides.

1) perimeter = 5.4+8.84+7

=>    5.4+8.84+7 = 21.24,

 21.24cm

2) perimeter = 6.6 + 6.6 + 6.6  i.e  6.6* 3

=>    6.6 x 3 = 19.8

 19.8ft

3) perimeter = 8.3 + 4.9 + 9.64

=>     8.3 + 4.9 + 9.64 =  22.84

22.84mm or 2.284cm

AREA

1) it's a right triangle,

 =>    Area of a right triangle = 1/2 × base × height.

 =>    here, base is a and height is b

 =>    a = 7, b = 5.4

 =>   now we multiply it,  

 => 7*5.4 = 37.8

 => now multiply it with 1/2,  

 => 1/2 x 37.8 =  37.8/2

 => 37.8/2  = 18.9

2) it's an equilateral triangle,

18.8620

the formula is  √3 a^2/ 4

=>    √3* 6.6^2/ 4  

=>    75.4481/4 = 18.8620

3)  20.335

    base = a = 8.3

    height = b = 4.9

=>    8.3 * 4.9 = 40.68

=>     40.68/2 = 20.335

hope this helps:)