Describe one method to calculating the area of the shaded region.

Answer:

10

Step-by-step explanation:

3^2*2-4(3-1)

3^2=9

9*2

9×2

18

4(3-1)

4(2)

8

18-8

=10

So the final answer is 10

Answer:

(-2,-7) answer (-1,14)

3 questions answer (4,-11)

(5,10) answer ( 10,-15)

To carry Triangle A onto Triangle A', one can use a sequence of geometric transformations such as translation, rotation, and reflection. An example sequence could include translating the triangle, rotating it, and then reflecting it across an axis.

To answer the question on how to carry Triangle A onto Triangle A', we need to consider a sequence of geometric transformations. Without the specific diagram, we can only provide a general solution. Typically, transformations to carry one triangle onto another include translations, rotations, reflections, or a combination of these. For example, we may translate Triangle A horizontally or vertically, followed by a rotation around a point at a certain angle, and possibly apply a reflection across a line if the orientation of Triangle A' is opposite that of Triangle A. Example of a Sequence of Transformations:  This sequence would successfully carry Triangle A onto Triangle A' given the right conditions.

Answer:

It is higher and more pointed

Step-by-step explanation:

Final answer:

The height of the triangle in relation to the height of the rectangle can vary, but proportionally, if Block B is twice the height of Block A, Block B's area change is also twice that of Block A. For squares, if a larger square has side lengths twice that of a smaller square, its area is four times greater. The area ratio between the two squares is 1:4.

Explanation:

The height of the triangle compared to the height of the rectangle can vary depending on the specific dimensions of each figure. If we refer to the rectangular faces of a prism (Block B) being proportionally taller than those of a smaller prism (Block A), we can use the ratio of their heights to determine the ratio of their areas. For example, if the height of Block B is twice that of Block A, then the change in the height of Block B would be twice that of Block A.

Considering a similar scenario with squares, if Marta has one square with a side length of 4 inches and a similar larger square with dimensions that are twice the first square, we would find the area of the larger square to be four times the area of the smaller square. This is because area is a function of the square of the side length (Area = side x side), so if the side length doubles, the area quadruples (2 x 2 = 4).

The ratio comparing the two areas of squares would be 1:4, meaning the larger square has an area four times greater than the smaller square.

Answer:

use the pythagorean theorem

Step-by-step explanation:

Answer:

no more than 53

Step-by-step explanation:

Answer:

no more than 53

Step-by-step explanation:

I can confirm this because I did it myself not because of the guy above me  

Answer:

you didn't upload the picture. But I think you should find the volume of the given groups and also find the volume of the biggest pyramid then divide the volume of the biggest pyramid by the volume of the group

Answer:

-6(1+i)

Step-by-step explanation:

Let's open the bracket

(1-2i)-(7+4i)

Open the bracket first

(1-2i)-7-4i

1-2i-7-4i

Collect like terms

1-7-2i-4i

-6-6i

Let's factorise

-6(1+i)

So the final answer is

-6(1+i)

Given:

The circumference of the smaller is 30% of the circumference of the larger circle.

We need to determine the circumference of the larger circle.

Diameter of the larger circle:

The diameter of the smaller circle is 9 in.

Since, the circumference of the smaller is 30% of the circumference of the larger circle, we have;

[tex]S=0.3L[/tex]

where S is the circumference of the smaller circle and L is the circumference of the larger circule.

[tex]\pi(9)=(0.3)\pi d[/tex]

    [tex]9=0.3d[/tex]

  [tex]30=d[/tex]

Thus, the diameter of the larger circle is 30 inches.

Circumference of the larger circle:

The circumference of the larger circle is given by

[tex]C=\pi d[/tex]

[tex]C=3.14\times 30[/tex]

[tex]C=94.2[/tex]

Thus, the circumference of the larger circle is 94.2 inches.

The equation x = 600 + 8y represents the earnings of Sally if she works 48 hours.

Step-by-step explanation:

The equation can be framed as :

Let,

The equation is given as,

Total earnings = amount earned for 40 hours + amount for extra 8 hours.

⇒ x = 600 + 8y

Therefore, the equation x = 600 + 8y represents the earnings of Sally if she works 48 hours.

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

We would apply the formula,

y = ab^t

Where

a represents the initial amount of substance.

t represents the decay time.

From the information given

a = 100

t = 12 hours

Since after 12 hours, the amount of substance reduces by 0.1, then

y = 0.1 × 100 = 10

Therefore

10 = 100 × b^12

Dividing through by 100, it becomes

0.1 = b^12

Raising both sides of the equation by 1/12, it becomes

0.1^(1/12) = b^12/12

b = 0.8

The equation becomes

y = 100(0.8)^t

Where t = n, the expression becomes

y = 100(0.8)^n

Final answer:

The correct expression representing the amount of a radioactive substance left after n days, with a 10% decrease every 12 hours, is 100(0.81)^n. The decay process is exponential, and we square the 12-hour decay factor to get the daily decay factor of 0.81.

Explanation:

To determine which expression represents the grams of a radioactive substance left n days from now, given that the substance decreases by 10% every 12 hours, we'll have to work with the concept of exponential decay in our calculations. Since the decay happens every 12 hours (which is half a day), we'll count the number of half-days there are in n days, which is 2n 12-hour periods.

Since the substance decreases by 10%, it retains 90% of its previous amount every 12 hours. In decimal form, this is a 0.9 multiplier. Thus, after each 12-hour period, we multiply the current amount by 0.9. To get the amount after n days, we raise 0.9 to the power of 2n, because there are 2n 12-hour periods in n days.

In mathematical terms, the amount left after n days can be represented as 100(0.9)^(2n). However, this option is not present in the given choices, so we have to look for an equivalent expression by simplifying or altering the base if needed. We can square 0.9 to get 0.81, which corresponds to the amount of substance left after a full day (24 hours). The correct expression representing the amount after n days is 100(0.81)^n, which is choice A.

Answer:

the answer is 75.36cm but it can rounded off to 75.4cm

Step-by-step explanation:

so...circumference is equal to "2 pie radius"

since the diameter is 24 then the radius is 24 divided by 2 which is 12cm .

Answer:

2/5

Step-by-step explanation:

Parallel lines have the same slope.

Answer:

84

Step-by-step explanation:

Make a proportion

We know that 63 divide by a number has to equal 75%

63/x=75/100

Cross multiply

75x=6300

Divide by 75 on both sides

x=84

So , his deck has 84 wooden boards

Hope this helps! :)

Answer:

he had 84 wooden boards

Step-by-step explanation:

[tex]\frac{63}{75}[/tex] [tex]\frac{x}{100}[/tex]   =  6300÷ 75=84

The power of the girl is 24.5 Watts.

Given data:

The mass M = 25 kg, where the height of each step is 0.25m and the number of steps is 8.

To calculate the power of the girl:

Power = Work / Time

The work done is equal to the force applied multiplied by the distance covered.

Work = Force * Distance

The force applied is equal to the weight of the girl, which is given by:

Force = Mass * Gravity

Where gravity is approximately 9.8 m/s².

Force = 25 kg * 9.8 m/s² = 245 N

The distance covered is equal to the height of each step multiplied by the number of steps climbed.

Distance = Height * Number of Steps

Distance = 0.25 m/step * 8 steps = 2 m

Now, calculate the work:

Work = 245 N * 2 m = 490 J

Next, calculate the power by dividing the work by the time:

Power = 490 J / 20 s = 24.5 W

Hence, the power is 24.5 Watts.

To learn more about work and power:

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Answer

16 pi

Step-by-step explanation:

Area= pi times radius squared

4 squared=16

A=16 pi

Answer:

1320

Step-by-step explanation:

This can be solved using something called a permutation. There are 12 possible swimmers that can be in first place. After that, there are 11 swimmers left to be in second place. Finally there are 10 swimmers left for third place. Multiplying these together, you get 12*11*10=1320 ways. Hope this helps!

Answer:

1728

Step-by-step explanation:twelve swimmers can go in each place at any given time. Multiply the possibilities for first, second, and third place to get the answer.

2^2 = 4, so SA would be multiplied by 4

Answer: The surface area increases by 4 times

Step-by-step explanation: i did the assignment and got it correct hope it helps!! :)

Answer:

76545

Step-by-step explanation:

Final answer:

By establishing an equation G = k(B/T), where G is the number of girls, B is the number of boys, and T is the number of teachers, we determine the constant of proportionality (k) from the given values. Using this constant, we deduce that there are 10 boys when there are 10 girls and 100 teachers.

Explanation:

The number of girls varies directly as the number of boys (B) and inversely as the number of teachers (T). This can be written as an equation, G = k(B/T), where G is the number of girls, and k is a constant of proportionality. From the given information, when there were 50 girls, there were 20 teachers and 10 boys. Plugging these values into the equation gives us 50 = k(10/20), which simplifies to 50 = k/2. Solving for k gives us k = 100.

Now, to find out how many boys are there when there are 10 girls and 100 teachers, we use the equation with our value for k. We get 10 = 100(B/100). Simplifying this equation gives us 10 = B. Therefore, there are 10 boys when there are 10 girls and 100 teachers.

Two 1 kg blocks sliding down frictionless inclined planes will take the same amount of time.

The correct statement is that both blocks will take the same amount of time to slide down the inclined planes.

When the blocks slide down the inclined planes, their acceleration is determined by the force of gravity acting on them. Since the mass of both blocks is the same and the force of gravity is the same for both, their acceleration will be the same.

Additionally, the height of the inclined planes is the same for both blocks, so they will cover the same vertical distance. As a result, the time taken for both blocks to slide down will be the same.

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Answer: 1436.76

Step-by-step explanation:

formula:

[tex]volume=\frac{4}{3} \pi r^{3}[/tex]

input values into calculator:

[tex]\frac{4}{3} \pi 7^{3}[/tex]

7 because radius=7

rounded to 2 decimal places to become

1436.76

Answer:

-1x + 3

Step-by-step explanation:

Answer:

Is possible

Step-by-step explanation:

It is possible to add and subtract fractions

Answer:

it is possible to add and subtract fractions

Step-by-step explanation:

Answer:

$1165.92

Step-by-step explanation:

1000*5.25%=52.5

1000+52.5=1052.5

1052.5*5.25%=55.26

1052.5+55.26=1107.76

1107.76*5.25%=58.16

1107.76+58.16=1165.92

I could b very wrong here tho XD

Answer: 0.908

Step-by-step explanation:

P(A | B) = P(A) + P(B) - P(A and B)

            = 0.7 + 0.86 - 0.652

            = 0.908

Hope this was helpful.

Brainliest please :P

We have proven that:

[tex]\[\frac{a + bz}{a + b} = \frac{c + dz}{d + c}\][/tex]

given that bc = ad.

To prove that

[tex]\[\frac{a + bz}{a + b} = \frac{c + dz}{d + c}\][/tex]

given that bc = ad, we'll start by manipulating one side of the equation to look like the other side.

Let's start with the left-hand side:

[tex]\[\frac{a + bz}{a + b}\][/tex]

To make it look like the right-hand side, we need to somehow introduce c and d into the expression.

From the given condition bc = ad, we can rearrange it to solve for d:

[tex]\[d = \frac{bc}{a}\]Now, let's substitute \( d \) into the expression:\[\frac{a + bz}{a + b} = \frac{c + \frac{bc}{a}z}{\frac{bc}{a} + c}\][/tex]

Now, to make it look like [tex]\( \frac{c + dz}{d + c} \), we need to factor \( c \)[/tex] out of the numerator:

[tex]\[= \frac{c\left(1 + \frac{bz}{a}\right)}{c\left(\frac{b}{a} + 1\right)}\]Notice that \( c \) cancels out in the fraction:\[= \frac{1 + \frac{bz}{a}}{\frac{b}{a} + 1}\]Now, we notice that \( \frac{b}{a} = \frac{c}{d} \), because \( bc = ad \). So, we can rewrite this as:\[= \frac{1 + \frac{bz}{a}}{\frac{c}{d} + 1}\][/tex]

This is now the same form as [tex]\( \frac{c + dz}{d + c} \), where \( d = \frac{bc}{a} \).[/tex]

So, we have proven that:

[tex]\[\frac{a + bz}{a + b} = \frac{c + dz}{d + c}\][/tex]

given that bc = ad.

Complete question:

Prove that (a+bz)/(a+b)=(c+dz)/(d+c) if bc=ad

We have proven that:

[tex]\[(a + bz)/(a + b) = (c + dz)/(d + c)\][/tex]

given that bc = ad.

To prove that

[tex]\[(a + bz)/(a + b) = (c + dz)/(d + c)\][/tex]

given that bc = ad, we'll start by manipulating one side of the equation to look like the other side.

Let's start with the left-hand side:

[tex]\[(a + bz)/(a + b)\][/tex]

To make it look like the right-hand side, we need to somehow introduce c and d into the expression.

From the given condition bc = ad, we can rearrange it to solve for d:

[tex]\[d = (bc)/(a)\]Now, let's substitute \( d \) into the expression:\[(a + bz)/(a + b) = (c + (bc)/(a)z)/((bc)/(a) + c)\][/tex]

Now, to make it look like [tex]\( (c + dz)/(d + c) \)[/tex], we need to factor \( c \) out of the numerator:

[tex]\[= (c\left(1 + (bz)/(a)\right))/(c\left((b)/(a) + 1\right))\]\\Notice that \( c \) cancels out in the fraction:\[= (1 + (bz)/(a))/((b)/(a) + 1)\][/tex]

Now, we notice that [tex]\( (b)/(a) = (c)/(d) \)[/tex], because [tex]\( bc = ad \)[/tex]. So, we can rewrite this as:[tex]\[= (1 + (bz)/(a))/((c)/(d) + 1)\][/tex]

This is now the same form as [tex]\( (c + dz)/(d + c) \), where \( d = (bc)/(a) \)[/tex].

So, we have proven that:

[tex]\[(a + bz)/(a + b) = (c + dz)/(d + c)\][/tex]

given that bc = ad.

Complete question:

Prove that (a+bz)/(a+b)=(c+dz)/(d+c) if bc=ad.

The number 125 in the equation B = 12.5(125 - n) represents the point at which the electric bill would be $0 if the museum uses 125 solar panels. It means the bill decreases by $12.5 for the installation of each additional solar panel.

The best interpretation of the number 125 in the equation B = 12.5(125 - n) is that the monthly electricity bill for a museum decreases by $12.50 for each solar panel installed (option D). However, this question seems to mistakenly include $125 in the choices, where it should only refer to the number 125 in the equation. Nonetheless, the number 125 represents the baseline number of solar panels at which the electric bill would be $0. Therefore, for every solar panel used, the number of solar panels n is subtracted from 125, and the result is multiplied by $12.5 to find the monthly bill. This leads us to conclude that the electric bill decreases by 125 solar panels' worth of electricity savings for each additional solar panel added. Therefore, interpretation (A) is most accurate when we consider how the equation is structured.

We can see that the y-value does not change on the interval C, so the correct option is "linear constant".

A linear equation is of the form:

y = a*x + b

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

A horizontal line, also called a constant line, is of the form:

y = b

Where the slope is 0.

Here, you can see that on interval c we have a horizontal line, thus in interval c the graph is linear and constant, so the correct option is the first one.

If you want to learn more about linear equations, you can read:

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