Select the correct answer.
What is the domain of the function shown in the graph?
A.-∞ < x < ∞
B. x ≥ 2
C. x> 0
D. x ≤ -2

Option d) is correct, i.e. a rotation, then a dilation. Transformation will create a pair of similar but not congruent triangles.

Which composition of transformations will create a pair of similar, not congruent triangles?

In congruent geometry, the shapes that are so identical. can be superimposed to themselves.

When triangle is rotated, than position of angles will change. Aftermath the dilation of the triangle would increase the proportion of the sides, but angles remains equal, by which the triangle remain similar but not congruent.

Thus, a rotation, then a dilation transformation will create a pair of siilar but not congruent triangles.

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Answer:

D. a rotation, then a dilation

Step-by-step explanation:

got it right on edge 23

Answer:

An equilateral triangle has all side lengths the same, and all angles are 60 degrees. Using this we can split the triangle along its altitude to get two right triangles with a hypotenuse of length 10 and a base of 1/2 of the original length, so 5. Now we can either use the Pythagorean theorem (a^2+b^2=c^2) or the fact that it is a 30 60 90 triangle (angles measure at 30 60 and 90 degrees) Pythagorean theorem is probably easier.

It stated that the squares of the two legs of a right triangle add to the square of the hypotenuse. So a(the altitude)^2+5(the base)^2=10(the hypotenuse)^2

A^2+5^2=10^2

A^2+25=100

A^2=75

A=sqrt(75)

A=5*sqrt(3)

Final answer:

The altitude of an equilateral triangle with side length 10 is 5sqrt(3), or about 8.66

Step-by-step explanation:

Please give the brainliest, really appreciated.

Answer:

The difference in square feet is 75 square feet.

Step-by-step explanation:

Formula for area of a rectangle: Area = length x width

Current measurements: 12 by 10, so

A = 12 x 10 = 120 square feet

New measurements: 15 by 13 (adding 3 feet to each)

A = 15 x 13 = 195 square feet

Subtract to find the difference:

195-120 = 75

Please let me know if you have questions.

Lucy has $7 less than Kristine and $5 more than Nina together, the three have $35. Lucy has $11.

Let's denote the amount of money that Kristine has as K, the amount of money that Lucy has as L, and the amount of money that Nina has as N.

According to the given information, we can form two equations:

Lucy has $7 less than Kristine: L = K - 7

Lucy has $5 more than Nina: L = N + 5

We also know that the three of them have a total of $35: K + L + N = 35

We can solve this system of equations to find the values of K, L, and N.

Substituting equation 1 into equation 3, we get:

K + (K - 7) + N = 35

2K - 7 + N = 35

Substituting equation 2 into the above equation, we get:

2K - 7 + (L - 5) = 35

2K + L - 12 = 35

Since Lucy has $7 less than Kristine (equation 1), we can substitute K - 7 for L in the above equation:

2K + (K - 7) - 12 = 35

3K - 19 = 35

Adding 19 to both sides:

3K = 54

Dividing both sides by 3:

K = 18

Now we can substitute the value of K into equation 1 to find L:

L = K - 7

L = 18 - 7

L = 11

Finally, we can find the value of N by substituting the values of K and L into equation 3:

K + L + N = 35

18 + 11 + N = 35

N = 35 - 18 - 11

N = 6

Therefore, Lucy has $11.

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The numbers that can be multiplied by each equation so that when the two equations are added together, the x term is eliminated is: A. –10 times the first equation and 3 times the second equation.

In order to determine the solutions to a system of two linear equations, we would have to evaluate and eliminate each of the variables one after the other, especially by selecting a pair of linear equations at each step and then applying the elimination method.

Given the following system of linear equations:

1/5(x) + 3y/4 = 9                .........equation 1.

2x/3 - 5y/6 = 8          .........equation 2.

In this scenario, the number that should be used to multiply first equation can be calculated by using the following ratio:

Ratio =  -(x-coefficient of second equation)/(x-coefficient of first equation)

Ratio = -(2/3)/(1/5)

Ratio = -10/3

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Answer:

720

Step-by-step explanation:

Sum of the interior angles of any polygon is (n−2)×180.

So 6-2=4

4*180 = 720

x = 53/80 = 0.6625

​

if isn't right I have another equation

Answer:

13.25

Step-by-step explanation:

\(x - 7 \div 20 = 5 \div 16\)

by cross multiplying

16(x-7)=5(20)

16x-112=100

16x=100+112

16x=212

x=212 /16

×=13.25

if the question is this

Answer:

write the following shaded amount as a decimal.

Step-by-step explanation:

the answer will be 1.56 because the whole first block is 100 so think about it as 1.00. the other block only has 56 shaded so 0.56 all u have to do is put it together 1.00 + 0.56= 1.56. first just count all the blocks in one then go on to the other block then u can go on to the next step.

Answer:

write the following shaded amount as a decimal.

Step-by-step explanation:

the answer will be 1.56 because the whole first block is 100 so think about it as 1.00. the other block only has 56 shaded so 0.56 all u have to do is put it together 1.00 + 0.56= 1.56. first just count all the blocks in one then go on to the other block then u can go on to the next step.

Step-by-step explanation:

We can conclude by answering the provided question that As a result, Figure B has a capacity of approximately 226.19 cubic centimetres and a surface area of approximately 94.25 square centimetres.

The surface area of an object indicates the total volume filled by its surface. The surface area of a three-dimensional shape is the entire quantity of space that surrounds it. The surface area of a three-dimensional object refers to its total surface area. By adding the areas of each face, the surface area of a cuboid with six rectangular sides can be determined. As an alternative, you can use the following algorithm to identify the box's dimensions: 2lh + 2lw + 2hw = surface (SA). Surface area is a measurement of the total quantity of room occupied by the surface of a three-dimensional shape (a three-dimensional shape is a shape that has height, width, and depth).

For each figure, we will compute the volume and surface area individually.

Diagram A:

Figure A is a rectangle pyramid in form. It measures 10 centimetres long, 6 cm wide, and 4 cm tall.

Diagram B:

Figure B is a cylindrical in form. It has a radius of 3 centimetres and a height of 8 cm.

Image B volume = x radius2 x height = x 32 x 8 cm3 = 226.19 cubic centimetres

Figure B surface area = 2 x radius x height + 2 x radius2 = 2 x 3 cm x 8 cm + 2 x 32 cm2 = 94.25 square centimetres

As a result, Figure B has a capacity of approximately 226.19 cubic centimetres and a surface area of approximately 94.25 square centimetres.

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Answer:

false

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

x multiplied by 0.51 is the same as 49% of x

The 11-4 skills practice areas of regular polygons and composite figures involve finding the areas of different geometric shapes using specific formulas and methods.

To find the area of regular polygons, you can use the formula (1/2) x apothem x perimeter.

For composite figures, you can break the shape into smaller, more manageable shapes like rectangles, triangles, or circles, and then calculate the area of each component before adding them together.

Hence, The 11-4 skills practice areas of regular polygons and composite figures teach you to find areas using the appropriate formulas and methods, improving your geometry understanding and problem-solving abilities.

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Therefore, based on the given data, there is not enough evidence to suggest a statistically significant difference in ages between children assigned to the new drug and the placebo.

To determine if there is a statistically significant difference in ages between children assigned to the new drug and the placebo, we can perform a two-sample t-test.

Given:

Sample size of children assigned to the new drug (n1) = 125

Sample size of children assigned to the placebo (n2) = 125

Mean age of children assigned to the new drug (X1) = 12.4 years

Mean age of children assigned to the placebo (X2) = 13.0 years

Standard deviation of ages in the new drug group (s1) = 3.6 years

Standard deviation of ages in the placebo group (s2) = 4.0 years

Level of significance (α) = 0.05

The null hypothesis (H0) is that there is no difference in the mean ages between the two groups, and the alternative hypothesis (Ha) is that there is a difference.

We can calculate the test statistic using the formula:

t = (X1 - X2) / √((s1^2/n1) + (s2^2/n2))

Substituting the given values, we get:

t = (12.4 - 13.0) / √((3.6^2/125) + (4.0^2/125))

Calculating this, we find t ≈ -0.571.

The degrees of freedom (df) for the t-test is (n1 + n2 - 2) = (125 + 125 - 2) = 248.

Using the t-distribution table or a statistical calculator, at a significance level of 0.05 with df = 248, the critical t-value is approximately ±1.97 (two-tailed test).

Since the calculated t-value (-0.571) is not greater than the critical t-value (-1.97 or 1.97), we fail to reject the null hypothesis.

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\( \frac{3x \times 3y}{x \times y} \\ = \frac{(3 \times 3)xy}{xy} \\ = \frac{9xy}{xy} \\cancel \: \: \: out \: \: \: xy \: \: \: from \: \: \: both \: \: \: sides \\ = 9\)

Answer:

9

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

The surface area of the given cylinder is 803.8 in² to the nearest tenth.

Step-by-step explanation:

The formula for the surface area of a cylinder is:

\(\boxed{SA = 2\pi r^2 + 2\pi rh}\)

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

From inspection of the given diagram:

Substitute these values into the formula and solve for SA:

\(\begin{aligned}\implies SA&=2\pi r^2 + 2\pi rh\\&=2 \cdot 3.14 \cdot 8^2+2 \cdot 3.14 \cdot 8 \cdot 8\\&=2 \cdot 3.14 \cdot 64+2 \cdot 3.14 \cdot 8 \cdot 8\\&=401.92+401.92\\&=803.84\\&=803.8\; \sf in^2\;\;(nearest \; tenth)\end{aligned}\)

Therefore, the surface area of the given cylinder is 803.8 in² to the nearest tenth.

Question :-

Answer :-

\( \rule{180pt}{3pt}\)

Diagram :-

\(\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{8 \: in}}\put(9,17.5){\sf{8 \: in}}\end{picture}\)

Solution :-

As per the provided information in the given question, we have been given that the radius of the cylinder is 8 in. The height of the cylinder is 8 in. We have been asked to find or calculate the surface area of the cylinder.

To calculate the surface area of the cylinder, we will use the formula below :-

\(\bigstar \:\:\:\boxed{\sf{\:\:Surface \: Area_{(Cylinder)} = 2\pi r^2 + 2\pi rh \:\:}}\)

Substitute the given values into the above formula and solve for surface area:

\(\sf:\implies Surface \: Area_{(Cylinder)} = 2\pi r^2 + 2\pi rh\)

\(\sf:\implies Surface \: Area_{(Cylinder)} = (2)(3.14)(8 \: in)^2 + (2)(3.14)(8\:in)(8\:in) \)

\(\sf:\implies Surface \: Area_{(Cylinder)} = (2)(3.14)(64 \: in^2) + (2)(3.14)(64\:in^2) \)

\(\sf:\implies Surface \: Area_{(Cylinder)} = (2)(200.96 \: in^2) + (2)(200.96 \: in^2) \)

\(\sf:\implies Surface \: Area_{(Cylinder)} = 401.92 \: in^2 + 401.92 \: in^2 \)

\(\sf:\implies \bold{Surface \: Area_{(Cylinder)} = 803.84 \: in^2}\)

Therefore :-

\(\\\)

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Have a great day! <33

Answer:

You most likely got it wrong because you didn't plot all the points that are actually in the table, the domain and range are both right.

Answer:

Natural numbers are the counting numbers, meaning that they make up the set {1,2,3,4,5,...} So , 4/5 is belong to natural number

Answer:

(4,6,4,-8,-3)

Step-by-step explanation:

Domain means of function is the set of all possible inputs for function

Answer: Yes, the answer is 6.5%. The percentage of employee's salary that is withheld for contribution to their pension fund can vary depending on the company or organization, but generally it is around 6-7%. 6.5% is a common percentage used by employers as a guideline for the amount that is withheld for the employee's pension fund.

Step-by-step explanation:

Answer:

slopes are equal

Step-by-step explanation:

If the 2 equations have no solution then the lines are parallel and never intersect.

Parallel lines have equal slopes.

Answer:

according to our rules ,we can find the formula for the slope by talking the first derivative

The relation between mode, mean and median is:

mode=3median-2mean

Now, to find mean:

2mean=3median-mode

mean=7/2 = 3.5

Let we wish to evaluate the mean  μ of a population. In real practice we would typically take just one sample. Imagine still that we take sample after sample, all of the same size n, and compute the sample mean x¯ every time.

The sample mean x is a random variable: it differs from sample to sample in a way that cannot be predicted with sureness. We will write X¯ when the sample mean is idea of as a random variable and write x for the values that it takes.

The random variable X¯ has a mean, denoted  μX¯, and a standard deviation, denoted  σX¯. Here is an example with such a small population and small sample size that we can indeed write down every single sample.

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Answer:

2  3/8

Step-by-step explanation:

Answer:

112.24

Step-by-step explanation: Multiply the amount by the 28% as a decimal, then add the product to the original number.

Answer:

A. $15

B.  x - .25x

C.  $12.50

Step-by-step explanation:

A. .25 x $20 = $5

$20-$5 = $15 discounted price of T-shirt

B. x - .25x

C. x + .25x = $10

1.25x = $10

x = $12.50

hope this helped buddy

Peace

To know if a triangle is a 30-60-90 triangle, you must check if the triangle's angles measure 30°, 60°, and 90°. Additionally, the sides of a 30-60-90 triangle will have a specific ratio. The longest side of the triangle is always double the length of the shortest side, and the side opposite the 60° angle is always the square root of 3 times the shortest side.

1. Measure the angles of the triangle.

2. Check if the angles measure 30°, 60° and 90°.

3. Measure the sides of the triangle.

4. Check if the longest side is double the length of the shortest side and if the side opposite the 60° angle is the square root of 3 times the shortest side.

To know if a triangle is a 30-60-90 triangle, you must check if the triangle's angles measure 30°, 60°, and 90°. Additionally, the sides of a 30-60-90 triangle will have a specific ratio. The longest side of the triangle is always double the length of the shortest side, and the side opposite the 60° angle is always the square root of 3 times the shortest side.

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Answer: y=-1/4x+-14

Step-by-step explanation:

Answer:

I am somewhere out

Step-by-step explanation:

If I were in home so I should help u. Sorry

Answer:

Angle JML= 180-154= 26

Angle PMN= 90-26=64

Angle NMK= 26 (vertically opposite angles)

Step-by-step explanation:

The required answer is f(g(x)) = 6x³ + 4 represents the function that relates the number of gallons of ice cream Barrett makes per hour to the earnings he gets per gallon of ice cream.

Given the function, f(x) = 2x² + 4 and g(x) = √(3x³).

We need to find f(g(x)) and explain what f(g(x)) represents.

Steps involved in finding f(g(x)):

Solution:Given, f(x) = 2x² + 4 and g(x) = √(3x³)

Therefore, f(g(x)) = 6x³ + 4 represents the function that relates the number of gallons of ice cream Barrett makes per hour to the earnings he gets per gallon of ice cream.

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