What is the value of the expression -9.23 + 4.204?

Note: Consider the solid object is a cylinder because the radius of base and height of the solid is given.

Given:

Radius of base = 7 cm

Height = 12 cm

To find:

The volume of the given solid.

Solution:

The volume of a cylinder is:

[tex]V=\pi r^2h[/tex]

Where, r is the radius of the base and h is the height of the cylinder.

Putting [tex]r=7,h=12,\pi=\dfrac{22}{7}[/tex] in the above formula, we get

[tex]V=\dfrac{22}{7}\times(7)^2\times (12)[/tex]

[tex]V=22\times 7\times 12[/tex]

[tex]V=1848[/tex]

Therefore, the volume of the given solid is 1848 sq. cm.

Answer:

Step-by-step explanation:

perp. -2

y - 2 = -2(x + 5)

y - 2 = -2x - 10

y = -2x - 8

Answer:

6

Step-by-step explanation:

Answer:

4 pills

1

Step-by-step explanation:

Rounded to the nearest whole number, the approximate area of the heptagon is 555 sq cm.

A heptagon is a seven-sided polygon. To find the area of a regular heptagon, we can use the formula:

Area = (7/4) * (perimeter) * (apothem)

where "perimeter" is the length of the heptagon's circumference and "apothem" is the distance from the centre to the midpoint of one of its sides. The radius of the heptagon is the apothem, which is 27.87 cm.

The perimeter of the heptagon can be calculated by multiplying the length of one side by the number of sides:

Perimeter = 24.18 cm * 7 = 168.26 cm

Now we can substitute these values into the area formula:

Area = (7/4) * 168.26 * 27.87

Area = approximately 554.55 sq cm.

Rounded to the nearest whole number, the approximate area of the heptagon is 555 sq cm.

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No solution is a fraction that cannot be represented as a fraction of integers.

A fraction is a division of two numbers, and no solution occurs when the divisor is 0, because division by 0 is undefined.

For example, consider the fraction 2/0. This is a fraction with no solution because division by 0 is undefined. To explain this further, let's look at the formula for division: a/b = c. In this formula, a is the dividend, b is the divisor, and c is the quotient. In the fraction 2/0, the dividend is 2 and the divisor is 0, so when we try to calculate the quotient, we get c = 2/0. Since division by 0 is undefined, the result is no solution.

To summarize, no solution occurs when a fraction's divisor is 0 because division by 0 is undefined. This means that no fraction can be represented as a fraction of integers when the divisor is 0 because there is no solution.

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No, 4, 8, and 12 are not valid side lengths for a triangle. So 4, 8 and 12 does not make a triangle.

In order for a shape to be a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. This is known as the triangle inequality theorem.

If a triangle has sides of length 4, 8, and 12, then the triangle inequality theorem would be:

8 + 12 > 4 (true, as 8+12 =20)

12 + 4 > 8 (true, as 4+12=16)

4 + 8 > 12 (false, as 4+8 =12)

Since 4 + 8 = 12, and 12 is not greater than 4 or 8, a triangle cannot be formed with sides of length 4, 8, and 12.

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Answer: -1/4

Step-by-step explanation:

Rate of change is just another term for slope. To calculate slope, we just need any 2 points on the graph and apply the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].

[tex]m=\frac{1-2}{4-0} =\frac{-1}{4} =-\frac{1}{4}[/tex]

This means -1/4 is the rate of change.

Answer:

10=z+6

10-6=z

4=z

therefore

z=4

If the number of dragons in Westeros rose by a shocking 15% this year if there were 300 dragons in the previous year, then there will be a total of 345 dragons in this year.

The percentage increase in the number of dragons in Westeros rose = 15%

The total number of dragons in Westeros rose in previous year = 300

So, for calculating the total number of dragons in Westeros rose in this year we will first find the value of 15% of 300 and then add it to 300.

So, finding the value of 15% of 300

As we know, for removing the percentage sign we will divide the given number by 100

So, the value of 15% of 100 = (15/100)*300 = 45

So, the value of the total number of dragons in Westeros rose in this year will be 300+45 = 345

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The correct question may be like:

If the number of dragons in Westeros rose by a shocking 15% this year if there were 300 dragons in the previous year, then what will be a total of dragons in this year?

Answer:

The answer will be C

Step-by-step explanation:

Answer:

[tex]\angle ABC = 122^\circ[/tex]

Step-by-step explanation:

Given

[tex]\angle ADC = 61^\circ[/tex]

See attachment for circle

Required

Find [tex]\angle ABC[/tex]

From the attachment, we can see that:

[tex]\angle ADC[/tex] is at the circumference

[tex]\angle ABC\\[/tex] is in at the center

From cyclic theorems,

The relationship between ABC and ADC is:

[tex]\angle ADC = \frac{1}{2} * \angle ABC[/tex]

Make ABC the subject

[tex]\angle ABC = 2 * \angle ADC[/tex]

Substitute: [tex]\angle ADC = 61^\circ[/tex]

[tex]\angle ABC = 2 * 61^\circ[/tex]

[tex]\angle ABC = 122^\circ[/tex]

Answer:

Step-by-step explanation:

Hope that helps! :)

-Aphrodite

Answer:

Step-by-step explanation:

This rectangular prism is packed with unit cubes with edge lengths of 12 inch each. Which are the dimensions of the rectangular prism? A 812×312×412 B 8×3×4 C 412×212×112 D 4×2×112

The volume of a rectangular prism when given edge length = (Edge length)³

Hence,

Volume = (12 inch)³

Volume = 1728 cubic inches

Therefore, from the above options given, the possible dimensions of the Rectangular prism =

Answer:

-----------------------------------

According the the table the slope is:

Use slope-intercept form:

And substitute one of the ordered pairs, to find the value of b:

The y-intercept is (0, 8).

Answer:

I'm so sorry if I'm wrong but in my opinion I think the answer is C you don't have to choose it

Answer:

2 (21a−8)

Step-by-step explanation:

Answer:

2(21a - 8)

Step-by-step explanation:

42a - 16
The gcf of 42, 16 is 2
=> 2(21a-8)

On solving the provided question, we can say that - on doing the fraction we have  [tex]\frac{1}{10} ; \frac{1}{100} ; \frac{1}{10000}[/tex]

Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. A whole includes fractions. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. True fractions have numerators that are less than their denominators. A fraction is a sum that constitutes a portion of a total. By breaking the entire up into smaller bits, you can evaluate it. Half of a full number or item, for instance, is represented as 12.

here we have,

0.1 = 1/10

0.01 = 1/100

0.0001 = 1/10000

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Answer:

  ∠LOP = 96°

Step-by-step explanation:

Given an inscribed angle of 48°, you want to know the measure of the central angle that subtends the same arc.

The measure of an inscribed angle is half the measure of the arc it subtends.

  ∠LMP = 1/2(arc LP)

  48° = 1/2(arc LP) . . . . . . use the given value

  96° = arc LP . . . . . . . . . multiply by 2

The measure of an arc of a circle is the same as the measure of the central angle it subtends: the arc measure and its central angle measure are identical.

  arc LP = ∠LOP

  96° = ∠LOP

__

Additional comment

That's a long way of saying the central angle is twice the inscribed angle that subtends the same arc. ∠LOP = 2×∠LMP.

The variable terms in the expression 3[tex]x^{3}[/tex]y + 5[tex]x^{2}[/tex] + y + 9 are [tex]x^{3}[/tex]y, [tex]x^{2}[/tex], and y.

The expression provided is

3[tex]x^{3}[/tex]y + 5[tex]x^{2}[/tex] + y + 9

In the expression, each variable is represented by a letter.

Let's look at the variables for each term.

The variable in the first term, 3[tex]x^{3}[/tex]y, is [tex]x^{3}[/tex]y.

The variable in the second term, 5[tex]x^{2}[/tex] , is [tex]x^{2}[/tex] .

Y is the variable in the third term.

There is no variable in term 9's final equation.

The variables in the expression are [tex]x^{3}[/tex]y, [tex]x^{2}[/tex] , and y.

As a result, the variables [tex]x^{3}[/tex] and y are the variable terms.

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Answer:

I have an image attached and a table how I solved it.

Answer:

120=100%

90=x

x=100%×90/120

x=75%

%decrease=100%-75%=25%

9514 1404 393

Answer:

  see below

Step-by-step explanation:

The red numbers are the ones that are given in the problem text. The blue numbers are calculated so as to make row and column totals come out properly.

The drink total shows the same number is arrived at either of two ways. This is confirmation that the other numbers are calculated properly.

Answer: 60% for the first try, and about 55.56% for second try.

Step-by-step explanation:

There's 10 marbles total.

6 red marbles out of 10 total.

60% chance of getting red marbel

6/10=3/5

The second time would be 5 marbles out of 9 marbles in the bag.

About 55.56%

5/9

Answer:it is c

Step-by-step explanation:

The sequence of transformations maps quadrilateral ABCD onto quadrilateral EFGH is Reflection across the x-axis, translation 6 units left

Translation means the displacement of a figure or a shape from one place to another. In translation, a figure can move upward, downward, right, left or anywhere in the coordinate system. In translation, only the position of the object changes, its size remains the same.

A reflection is known as a flip. A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to be a reflection of the other figure, then every point in a figure is at equidistant from each corresponding point in another figure.

According to the question

Quadrilateral ABCD  

A(1,1) , B(2,3) , C(4,3) , D(5,1)

Quadrilateral EFGH

E(-5,-1) , F(-4,-3) , G(-2,-3) , H(-1,-1)

As we can that  

Quadrilateral ABCD and EFGH have opposite sign coordinates

i.e Reflection across the x-axis,

and difference between x axis of Quadrilateral ABCD and EFGH  is 6

|-5 - 1 |  = 6  ( as distance is always +ve)

therefore,

translation 6 units left

Hence, the sequence of transformations maps quadrilateral ABCD onto quadrilateral EFGH is Reflection across the x-axis, translation 6 units left

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The number of hours that the team trians per week is 17 hours.

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

Since the the swim tea spends 1/2h in the gym followed by 1 1/4 in the pool. On Saturday there is no gym work but double the swim team time. The number of hours will be:

( 1 1/4 + 1/2 + 2 1/2) × 4

= 4.25 × 4

= 17 hours.

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