What is the scale factor of AABC to ADEF?

Answer:

The sprinter's rate in meters per minute is 400 or 400 meters per minute

Step-by-step explanation:

hope this helps!

if not i am sorry

Answer:

400

Step-by-step explanation:

k12

60 / 15 = 4

4 x 100 = 400

Answer:

26 ft

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

10^2+24^2 = c^2

100 +576 = c^2

676 = c^2

Take the square root of each side

sqrt(676) = sqrt(c^2)

26 = c

Answer:

26 ft

Step-by-step explanation:

Pythagoras theorem

a^2+b^2=c^2

10^2+24^2=676

square root of 676= 26

Answer:

b

Step-by-step explanation:

Answer:

I think the answer is c.

Step-by-step explanation:

hope this helps

The statement ''The bottom-up approach to metrics yield the most easily obtainable metrics however many metrics collected in this approach may not be suitable for top-management.'' is true because the bottom-up approach to metrics focuses on collecting data and metrics at lower levels within an organization, such as individual departments or teams.

These metrics are typically more operational and task-oriented, providing detailed insights into specific areas of the business.

However, while the bottom-up approach yields easily obtainable metrics, many of these metrics may not be directly relevant or suitable for top-management decision-making.

Top management typically requires high-level, strategic metrics that align with organizational goals and provide a holistic view of performance.

To cater to the needs of top management, a top-down approach is often employed, which involves identifying key strategic metrics and aligning them with organizational objectives.

This approach ensures that the metrics collected are meaningful, actionable, and support informed decision-making at the executive level.

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Emma needed to budget an extra $87.00 - $24.00 = $63.00 for eating at restaurants instead of eating at home.

What is the equivalent expression?

Equivalent expressions are expressions that perform the same function despite their appearance. If two algebraic expressions are equivalent, they have the same value when we use the same variable value.

Emma spent a total of $29.00 x 3 = $87.00 on eating at restaurants.

If Emma had eaten at home, she would have spent $8.00 x 3 = $24.00.

Therefore, Emma needed to budget an extra $87.00 - $24.00 = $63.00 for eating at restaurants instead of eating at home.

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The type of indeterminate form obtained by direct substitution in the given limit is 1^∞, where 1^∞ is not a determinate form and its value is not always predictable.

Applying L'Hôpital's Rule to the limit, we get:

lim_(xâ0^+) [cos(Ï/2 - x)]^x = lim_(xâ0^+) e^[x ln(cos(Ï/2 - x))]

Now, applying L'Hôpital's Rule to the exponent, we get:

= lim_(xâ0^+) e^[x (-tan(Ï/2 - x))]

= e^0 = 1

Therefore, the limit is equal to 1.

Using a graphing utility to graph the function, we can see that the limit approaches 1 as x approaches 0 from the right side. Therefore, the result obtained using L'Hôpital's Rule is verified by the graph.

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For a 95% confidence interval, number of blocks that must be sampled is 139, and for a 99% confidence interval, number of blocks that must be sampled is 238.

We will use the formula for the sample size in a confidence interval estimation:
n = (Z * σ / E)²

Where n is the sample size, Z is the Z-score corresponding to the desired confidence level, σ is the standard deviation, and E is the margin of error.

a. For a 95% confidence interval, the Z-score is 1.96. The standard deviation is 0.6 kg, and the margin of error is ±0.1 kg. Plugging these values into the formula:

n = (1.96 * 0.6 / 0.1)²
n ≈ 138.3

Since we need to round up the final answer to the nearest integer, the number of blocks that must be sampled for a 95% confidence interval is 139.

b. For a 99% confidence interval, the Z-score is 2.576. Using the same formula with this new Z-score:

n = (2.576 * 0.6 / 0.1)²
n ≈ 237.8

Again, rounding up the final answer to the nearest integer, the number of blocks that must be sampled for a 99% confidence interval is 238.

In summary, for a 95% confidence interval, 139 blocks must be sampled, and for a 99% confidence interval, 238 blocks must be sampled.

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If points d and f are on side ab and points e ang g are on side ac then line segment de and fg are parallel.

Given There is a triangle abc.

Parallel lines are those lines that do not meet at any point. If we draw a triangle abc and plot points d and f are marked on side ab and points e and g are marked on side ac then the line segment fg is parallel to de because both the line segments are drawn from the points which are on the sides opposite to each other. We have assumed a simple triangle because no description is given for the triangle.

Hence the line segment fg is parallel to de if drawn points d and f marked on ab and points e and g are marked on ac.

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Answer:D-E is parallel to FG which is parallel to B-C meaning all three are parallel

Step-by-step explanation:

Answer:

y = 15° , ∠BAC = 78° , ∠ABC = 68° , ∠ACB = 34°

Step-by-step explanation:

we can find ∠ACB as it lies on a straight line,

∠ACB + 146 = 180°

∠ACB = 180° - 146°

∠ACB = 34°

We know that all sides of triangle equals to 180°

so,

∠BAC + ∠ABC + ∠ACB = 180°

5y + 3 + 4y + 8 + 34 = 180°

9y + 45° = 180°

9y = 135°

y = 15°

So know we can find angles =

∠BAC = 5y + 3 = 5(15) + 3 = 78°

∠ABC =  4y + 8 =  4(15) + 8 = 68°

we already know that ∠ACB = 34°

John initially had Php 132 and Mary initially had Php 252 (384 - 132).

Let's start by setting up the equations to solve for this problem.

Let x be the amount of money John had initially.

Then, Mary had (384 - x) initially.

After John gave Php 36 to Mary, John had (x - 36) left and Mary had (384 - x + 36) = (420 - x).

We are told that Mary had three times as much money as John after this transaction, so we can write:

3(x - 36) = 420 - x

Simplifying this equation gives:

3x - 108 = 420 - x

4x = 528

x = 132

Therefore, John initially had Php 132 and Mary initially had Php 252 (384 - 132).

Answer: Mary had Php 252 at first.

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1 billionth of a meter is equivalent to 0.000000001 meters. The radius of a nitrogen atom, which is 1.5 nano-meters, can be expressed in standard form as 1.5 x 10^(-9) meters.

To convert 1 billionth of a meter into an ordinary decimal, we divide 1 by 1 billion, which gives us 0.000000001. This means that 1 billionth of a meter is equal to 0.000000001 meters.

To express the radius of a nitrogen atom, which is 1.5 nano-meters, in standard form, we first convert nano-meters to meters. Since 1 nano-meter is equal to 1 billionth of a meter, we can express 1.5 nano-meters as 1.5 x (1 billionth of a meter) = 1.5 x 0.000000001 meters.

In standard form, we express numbers in the form of a decimal multiplied by a power of 10. Since 0.000000001 can be written as 1 x 10^(-9), we have 1.5 x 10^(-9) meters as the standard form representation of the nitrogen atom's radius. This indicates that the radius of the nitrogen atom is 1.5 times 10 to the power of negative 9 meters.

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The smallest whole number larger than 2 which leaves the remainder as 2 when dividied by 3, 4, 5 and 6 is 62.

The Full form of LCM is Least Common Multiple. There are lots of methods of finding LCM of multiple numbers.

Now, finding the smallest number,

The LCM of 3, 4, 5, and 6 is 60.

So, the number of which leaves  2 as the remainder should be 60+2=62.

If we divide 62 by 3 the remainder is 2. If we divide 62 by 4, 5 and 6 the remainder is 2.

Hence, the smallest whole number larger than 2 which leaves the remainder as 2 when dividied by 3, 4, 5 and 6 is 62.

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Answer:

\(x = 30\)

Step-by-step explanation:

In the diagram above, MN is a straight line which equals 180.

RL is vertically opposite to KS

(Vertically opposite angles are equal ⟹RL = KS).

So, MN becomes:

\(90 + 2x + 30 = 180\)

Collect like terms

\(90 + 30 + 2x = 180→120 + 2x = 180→2x = 180 - 120→2x = 60\)

Divide 2x = 60 by 2

\(x = \frac{60}{2} \)

Therefore: \(x = 30\)

Answer:

Should be 78

Step-by-step explanation:

use this formula C = 2radiuspi

26/2=13 radius

13*3=39

39*2=78

the circumfrence is 78.

Hope this helped, vote up and five stars!!!

Answer:

Answer:The circumference of this circle is 78.

Hope you could get an idea from here.

Doubt clarification - use comment section.

The width of the border is 1 meter.

Let's assume that the width of the border is x meters. Then, the overall dimensions of the garden including the border would be (4 + 2x) meters by (6 + 2x) meters.

The area of the garden is:

Garden area = length x width = 6 x 4 = 24² meters

The area of the garden including the border is:

Total area = (6 + 2x) x (4 + 2x) = 24 + 20x + 4x²meters

We want the area of the border to be equal to the area of the garden, which means that:

Area of border = Total area - Garden area = 20x + 4x² meters

Since we want the area of the border to be equal to the area of the garden, we can set these two expressions equal to each other and solve for x:

20x + 4x² = 24

Dividing both sides by 4:

x² + 5x - 6 = 0

Factoring the quadratic:

(x + 6)(x - 1) = 0

The negative solution does not make sense for this problem, so we take the positive solution:

x = 1

Therefore, the width of the border is 1 meter.

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Answer: 1

The full term is (6,1)

Answer:

1

Step-by-step explanation:

Trust me on this, also can I have brainiest please?

Hope you do well! :D

Answer:

The hypotenuse of a right triangle is always the side opposite the right angle. It is the ... The other two sides are called the opposite and adjacent sides. ... functions​—sine, cosine, and tangent—which are defined using the words hypotenuse, opposite, and adjacent. ... Side ratios in right triangles as a function of the angles.

Step-by-step explanation:

The equation of the line parallel to the line -3y = -9x - 15 and passing through the point (-4, -13) is y - 3x = 35

As per the given data: the line passes through the point (-4, -13) and is parallel to the line -3y = -9x - 15.

9x - 3y = 15

3x - y = 5

Here we have to determine the equation of the line that passes through the point (-4, -13) and is parallel to the line 3x - y = 5:

When two lines are parallel then their slopes are equal.

y = 3x - 5

Slope form - y = mx + c

Compare both the equations: m = 3

So, the slope of the line that passes through the point (-4, -13) is 3.

Using the one-point slope form of a line the equation of a line that passes through the point (-4, -13) and is parallel to the line 3x - y = 5 can be determined.

The one-point slope form is given below:

\(y - y_{1} = m(x-x_{1} )\)

Substitute the values of the known terms in the above equation.

y - (-4) = 3 (x - (-13))

y + 4 = 3 (x + 13)

y + 4 = 3x + 39

y - 3x = 39 - 4

y - 3x = 35

Therefore the required equation is y - 3x = 35

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Answer:

It's D) compressed horizontally

Standard deviation is a statistic that measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.

Standard deviation = √ {(xi – x)^2 / (n-1)}

here (xi – x)^ 2 means variance and n is sample size .

so we can say

Standard deviation = √{ (variance / sample size – 1 )}

here variance is 64.58 and sample size is 26 is given.

So stand deviation = √{64.58 / (26-1)}

standard deviation =0.32144673

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the standard deviation will be 0.32144673 for the data having variance as 64.58 and sample size as 26.

Standard deviation is a statistic that measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.

Standard deviation = √ {(xi – x)^2 / (n-1)}

here (xi – x)^ 2 means variance and n is sample size .

so we can say

Standard deviation = √{ (variance / sample size – 1 )}

here variance is 64.58 and sample size is 26 is given.

So standard deviation = √{64.58 / (26-1)}

standard deviation = 0.32144673

Therefore, the standard deviation will be 0.32144673 for the data having variance as 64.58 and sample size as 26.

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Answer:

-0.6 or -(3/5)

Step-by-step explanation:

Let's simplify the left-hand side of the equation first:

4(2x+5)-2(x-3)

= 8x + 20 - 2x + 6 [distributing the multiplication and simplifying the parentheses]

= 6x + 26

Now let's simplify the right-hand side of the equation:

8(2x+4)

= 16x + 32

So the equation becomes:

6x + 26 = 16x + 32

Let's isolate x on one side of the equation:

6x - 16x = 32 - 26

-10x = 6

x = -0.6

Therefore, the solution to the equation is x = -0.6.

y = 90 sin(wt + 2.498)Comparing it with y = A sin(wt + p), we getω = 1rad/s. Therefore, the constant ω is 1 radian.

Given function: y = 72 cos(wt) + 54 sin(wt)Rewriting it in the form of amplitude times sine of sum of angle and phase shift: y = A sin(wt + p) where A is amplitude and p is phase shift.A = √(72² + 54²) = √(5184 + 2916) = √(8100) = 90As sin is positive, so amplitude A is positive.θ = tan⁻¹(-54/72) = tan⁻¹(-3/4)In 2nd quadrant, sinθ is positive. Thus phase shift, p = π + θ = π + tan⁻¹(-3/4)π + tan⁻¹(-3/4) = 2.498 rad. Thus the required expression in a single sine wave is: y = 90 sin(wt + 2.498)Part (a) : The constant A = πWe have calculated the amplitude above, which is A = 90.π ≈ 3.142So, the constant A is approximately equal to 3.142 radians. Part (b) : The constant ω = ? Radians is the SI unit of angular frequency and is represented by ω.For the given equation: y = 90 sin(wt + 2.498), Comparing it with y = A sin(wt + p), we getω = 1rad/s, Therefore, the constant ω is 1 radian.

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Answer:

Find it in (m a t h w a y) that will give you the answers and explanation

Answer:

I think the answer to the question is C

Answer:

A

Step-by-step explanation:

The sign means that x is smaller than 3. There is no need for the line underneath since the dot is not filled in.

The expression that shows "3 less than a number" is B. n - 3.

Mathematical operations must be carried out in a specific order according to a set of rules known as the order of operations. The following is the order of events:

Operation inside brackets should come first. Expressions containing exponents should be evaluated next.

Division and Multiplication: Carry out division and multiplication from left to right. Addition and subtraction: Move from left to right when adding and subtracting. It is crucial to adhere to the order of operations since it guarantees accurate and consistent evaluation of mathematical expressions.

When we break the given phrase in to mathematical expression we have:

n - 3.

Hence, the expression that shows "3 less than a number" is B. n - 3.

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You won't type in the percent sign as that's already taken care of

=============================================================

Explanation:

We have 6 squares shaded out of 100 total. This means we have 6/100 = 0.06 = 6% of the squares shaded. The term "percent" means "per 100" or "for every 100".

Take note that there are 10 rows and 10 columns, meaning there are 10*10 = 100 squares total, either shaded or not shaded.

Answer:

25 percent the answer is 25 percent I'm pretty sure. cause it's just 112.5/450

The cone should have its maximum volume. V=1/*3r2h is the formula for calculating the volume V of a cone with height h and radius r.

The cone has a volume of

V=πr2h/3

Therefore, we must calculate the values of r and h in terms of R. R is the diameter of the cone's top-circular circle, and h is the cone's height.

R is the cone's slant height, and it serves as the hypotenuse of a right triangle.

R2 = h2 + r2, or r2 = R2-h2.

So V = (1/3)π

[R2-h2]

h = (π/3)[R2h-h3]

You must take the derivative of the cone's volume, set it to zero, then solve for h to determine the cone's maximum volume.

dV/dh=(π/3)[R2-3h2]

R2-3h2=0 --> h2=R2/3 -> h = R/√3

Now we can determine r:

r2=R2-R2/3 = (2/3)R2

The volume formula with r and h substituted:

V = (π/3)

r2h = (π/3)(2R2/3)

(R/√3)

V(R)=2πR3/(9√3)

The complete question is:

A cone-shaped drinking cup is made from a circular piece of paper of radius R by cutting out a sector and joining the edges CA and CB. Find the maximum capacity of such a cup (Your answer may depend on R).

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