What is the value of d?

Round your answer to the nearest tenth.

9.1 mm
11.9 mm
26.3 mm
34.1 mm
The figure shows acute triangle D E F. The measure of angle D is 25 degrees. The length of side D E is 21 millimeters. The length of side E F is d. The length of side F D is 27 millimeters.

On cutting the circle into more and more slices, its shape will get closer to a rectangle.

A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.

Given that, a circle is divided into 4 slices. The slices are arranged into the shape.

So, when we will cut the circle into similar manner, the shape we will get closer to will be a rectangle,

When we will calculate the perimeter and the area of the obtained rectangle, it will be equal to the circle.

Hence, on cutting the circle into more and more slices, its shape will get closer to a rectangle.

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Final answer:

When a circle is divided into more and more slices and these slices are rearranged, they approximate a circle more closely. While a hexagon may seem like a closer shape due to the angles of its vertices, the ultimate shape remains a circle.

Explanation:

If a student rearranges the slices from a circle cut into more slices, they would get a shape that approximates a circle more closely as the number of slices increases. As each slice becomes thinner, the perimeter of the rearranged shape starts resembling a smooth curve, which is the characteristic of a circle.

Looking at the angles provided, a triangle has 60° angles, a square has 90° angles, a pentagon has 108° angles, and a hexagon has 120° angles. The figures suggest that a hexagon would be a more favorable shape when arranging slices because the angles of a hexagon (120°) are closer to the 360° of a full circle when divided by an increasing number of slices. However, when arranging the slices, the ultimate shape one gets closer to is the circle itself, irrespective of the polygonal shape intermediate stages may suggest.

Answer:

x = -2, y= 3

Step-by-step explanation:

y = 4x + 11

y = -2x - 1

Because both equations are equal to y, we can set them equal to each other

4x + 11 = -2x - 1

Add 2x to each side

4x+2x +11 = -2x+2x -1

6x +11 = -1

Subtract 11 from each side

6x+11-11=-1-11

6x = -12

Divide each side by 6

6x/6 = -12/6

x = -2

Now we need to find y

y = -2x-1

y = -2(-2)-1

   =4-1

   =3

Answer: its 7

Step-by-step explanation:

The correct statement in the box plot is that the ranges of the box plot is the same but the interquartile range are different

How to find the range

The range in a box plot is the difference between the maximum and minimum values

Solving for the range

Marc's class: 10 - 1 = 9

Sue's class: 12 - 3 = 9

Solving for the interquartile range

Marc's class: 9 - 3 = 6

Sue's class: 10 - 5 = 5

Answer:

64

Step-by-step explanation:

take 2x12=24+8=32x2=64

Answer:

64 is the answer.

Step-by-step explanation:

To solve this problem, you need to follow the rules of PEMDAS.

That means what is the the parentheses is solved first, then exponents, then you solve the multiplication and division, and then you solve the addition and subtraction.

2*12 is the most specific parentheses, therefore it is solved first.

2*12 equals 24.

The problem is now

[8+24] *2

Then you add 8 and 24, which is also in the parentheses.

8 + 24= 32

The problem is now :

32*2

Then you solve the multiplication.

32*2= 64

Therefore the answer is 64.

Answer:

its 1234

Step-by-step explanation:

Answer:$569.8

Step-by-step explanation:

To find the amount received for$550 deposited for 2yrs at 1.8% per annum

I=prt/100

I=550×1.8×2/100

I=$19.8

To find the whole money deposited after 2yrs

A=I+p

A=$19.8+550

A=$569.8

The perpendicular bisector of a chord in a circle contains the center of the circle.

To prove that the perpendicular bisector of a chord in a circle contains the center of the circle, we can use the fact that the perpendicular bisector of a chord passes through the center of a circle.

Let ABC be a chord in a circle with center O. We want to show that the perpendicular bisector of AB passes through O.

Since AB is a chord, it intersects the center O. Let P be the midpoint of AB. The line segment OP is a radius of the circle, and the line segment AB is perpendicular to OP at P. Therefore, the perpendicular bisector of AB passes through O, the center of the circle.

Answer:

  k pi for k = 0, plus-or-minus 2, plus-or-minus 4, ellipsis

Step-by-step explanation:

The cosine is a maximum when its argument is at multiples of 2π.

  k pi for k = 0, plus-or-minus 2, plus-or-minus 4, ellipsis

_____

Both of us could probably read this more easily if you would use appropriate math symbols.

Answer:

B

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

9 times 2 equals 18

Answer:

18

Step-by-step explanation:

9z, z=2

9x2=18

Answer:

-7

Step-by-step explanation:

Answer:

the 4th graph

Step-by-step explanation:

it illustrates correctly

Answer:

The last graph.

Step-by-step explanation:

the one that goes a little bit up, then its flat( thats when they waited for the bus), and then rode the bus for 25 minutes, then goes up. 50-25=25.

It goes from 0 to 10. Then 10 to 20. Then 25 up to 50.

Answer:

A.] The parent function has been translated up.

B.] The parent function has been translated to the left.

D.] The parent function has been stretched.

Note:

This may be late, but hopefully this answers those who still seek this question <3

The parent function has been translated up. The parent function has been translated to the left. The parent function has been stretched. Then the correct options are A, B, and, D.

A parent function in mathematics is the simplest function in a family of functions that keeps the definition of the entire family.

The function f(x) - 3|x+2|+4 is graphed. The parent function has been translated up. The parent function has been translated to the left. The parent function has been stretched.

Hence, the correct options are A, B, and, D.

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Answer:

B 396

Step-by-step explanation:

r=1 because its in the middle

Answer: The radius of the circle would be 4 because if you count from the center going either up, down, left, or right you would count 4. The radius of the circle will remain the same no matter which way you go

Step-by-step explanation:

Answer:

[tex]21\frac{1}{8}[/tex] Cups

Step-by-step explanation:

[tex]6.5(3\frac{1}{4} ) = 21\frac{1}{8}[/tex]

Hey there!

We can see on this number line that each tick mark represents one because every five marks, there is a difference of five.

Two marks to the left of 0 will be 0 minus 2, so -2.

Three marks to the left of -5 will be -5 minus 3, so -8.

Your answer is -8 and -2.

Hope this helps!

Final answer:

The integers that are being referred to are -8 and -2, which are negative whole numbers located on the left side of zero on a number line.

Explanation:

When plotted on the number line, integers represent whole numbers that can be positive, negative, or zero.

To identify the integers that are plotted, one would look for distinct marks or points on the number line that correspond to whole numbers.

Based on the data, we come to the conclusion that the numbers in question are -8 and -2.

The integers plotted on the number line are -8 and -2. The integer -8 is to the left of -2 on the number line.

These two numbers are examples of negative integers, which are located to the left of zero on a standard number line. The understanding of how to read a number line and identify the placement of integers is a key concept in mathematics, which allows for better comprehension of more complex mathematical ideas such as rational numbers, real numbers, and complex numbers.

Answer:

None of the options are correct

Step-by-step explanation:

Given

[tex]f(q) = q^2 - 125[/tex]

Required

The roots of the function

Since the function is a quadratic function; to get the roots of the function, f(q) must be equal to 0

[tex]f(q) = q^2 - 125[/tex] becomes

[tex]0 = q^2 - 125[/tex]

Make [tex]q^2[/tex] the subject of formula

[tex]125= q^2[/tex]

Rearrange

[tex]q^2 = 125[/tex]

Take square roots of both sides

[tex]\sqrt{q^2} = \sqrt{125}[/tex]

[tex]q = \sqrt{125}[/tex]

Expand the square root of 125

[tex]q = \sqrt{25 * 5}[/tex]

[tex]q = \sqrt{25} * \sqrt{5}[/tex]

q = ±5 [tex]* \sqrt{5}[/tex]

Split into 2

[tex]q = 5 * \sqrt{5}[/tex] or [tex]q = -5 * \sqrt{5}[/tex]

[tex]q = 5 \sqrt{5}[/tex] or [tex]q = -5 \sqrt{5}[/tex]

Hence, the roots of the quadratic function are [tex]q = 5 \sqrt{5}[/tex] or [tex]q = -5 \sqrt{5}[/tex]

Answer:

Step-by-step explanation:

Answer:

No, is not proportional because it does not go through the origin

Step-by-step explanation:

In order to find whether this is proportional or not you gotta divide y from x

and if the result is the same it means the relationship it is proportional.

30/2=15

40/4=10

50/6=8.333

The relationship is not proportional

Answer:

1

Step-by-step explanation:

(3/5) ^0

Anything raised to the zero power is 1

(except 0) but we will leave that for an advanced math discussion

Answer:

3

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

3x+15=27

3x=12

x=4

that is the steps

Answer:

4

Step-by-step explanation:

3x + 15= 27

-15. -15

3x = 12

÷3

x= 4

Answer:

3.6

Step-by-step explanation:

3z when z = 1.2

3(1.2)= 3 x 1.2

= 3.6

Answer:

3.6

Step-by-step explanation:

You plug in 1.2 to x

3(1.2)

do 12x3=36

Then add the decimal point

3.6

Answer:

$365.70

Step-by-step explanation:

The formula to find this is [tex]y = a(1+r)^t\\[/tex]

For this, a is the initial amount, r is the growth rate percentage (but displayed as a decimal), and t is time.

So to solve, you would do

[tex]y = 300(1+0.02)^10\\y = 300(1.02)^10\\y = 365.698325998\\OR\\y = $365.7 in interest[/tex]

[tex]5y+1=10y^2\\10y^2-5y-1=0\\D=(-5)^2-4*10*(-1)=25+40=65=\sqrt{65}^2 \\y_1=\frac{5+\sqrt{65} }{20} \\y_2=\frac{5-\sqrt{65} }{20}[/tex]

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P.S. Hello from Russia :^)

Should be around 150 as 3/6 of the numbers on a die are even so thats 1/2 and 300x(1/5) or just 300x0.5 or just 300/2 equals to 150

Theoretically, it would be 150 times that it rolls even. For half of the dice's sides being even and an equal chance of it landing on any of them.

Experimentally, it could be anything between 0-300, although after so many trails in it, it would be extremely likely that it would be near 150.

If it was only 10 trials of instance it would likely have a greater margin of difference compared to the theoretical probability.

Answer:

D. 13 units

Step-by-step explanation:

The distance between the points (4,-2) and (-1,10) is 13 units.

To find the distance between two points, we can use the distance formula. The distance formula is:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

In this case, the coordinates of the first point are (4, -2) and the coordinates of the second point are (-1, 10). Plugging these values into the distance formula, we get:

d = sqrt((-1 - 4)^2 + (10 - (-2))^2) = sqrt((-5)^2 + (12)^2) = sqrt(25 + 144) = sqrt(169) = 13 units

Therefore, the distance between the points (4, -2) and (-1, 10) is 13 units.

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Final answer:

The correct point that lies on the circle defined by the equation (x − 5)² + (y + 3)² = 25 is point C (2, 1), as substituting these values into the equation results in 25, which matches the right side of the equation. Thus, option C is correct.

Explanation:

To find which point is on the circle given by the equation (x − 5)² + (y + 3)² = 25, you can plug the x and y values from each option into the equation and see if it holds.

For point A (5, − 3), the equation becomes (5 − 5)² + (− 3 + 3)², which simplifies to 0 + 0 = 0. This is not equal to 25, so point A is not on the circle.

For point B (8, − 6), the equation becomes (8 − 5)² + (− 6 + 3)², which simplifies to 9 + 9 = 18. This is not equal to 25, so point B is not on the circle.

For point C (2, 1), the equation becomes (2 − 5)² + (1 + 3)², which simplifies to 9 + 16 = 25. This is equal to 25, so point C is on the circle.

For point D (4, − 8), the equation becomes (4 − 5)² + (− 8 + 3)², which simplifies to 1 + 25 = 26. This is not equal to 25, so point D is not on the circle.

The correct answer is point C (2, 1), as it satisfies the equation of the circle.