If someone build a house for 50 years how many months did it take to complete

The transformed vertices are;

A''  => (-7, -1)

B''  => (-7, 4)

C''=> (-9,4)

D''=> (-9, -1)

Here, we have,

given that,

we have to translate by (x,y) => (x-5, y+4)

so, the rectangle will be transformed as;

the transformed vertices are;

A' => ( 4-5, 3+4) => (-1, 7)

B' => (9-5, 3+4) => (4,7)

C'=>(9 -5, 5 +4 ) => (4, 9)

D'=> (4 -5, 5+4 ) => (-1, 9)

now, For clockwise rotation of a triangle by 90 degree, then x coordinate is similar to the y coordinate of original point and y coordinate is negative times of x coordinate of original point.

So (x,y) changes to (-y,x).

the transformed vertices are;

A'' => ( 4-5, 3+4) => (-1, 7) => (-7, -1)

B'' => (9-5, 3+4) => (4,7) => (-7, 4)

C''=>(9 -5, 5 +4 ) => (4, 9) => (-9,4)

D''=> (4 -5, 5+4 ) => (-1, 9)=> (-9, -1)

To learn more on transformation click:

brainly.com/question/29791450

#SPJ1

Answer:

y=-1/3x+1

Step-by-step explanation:

The slope of this line is negative, and is equal to rise over run.

To find slope, count the number of spaces it has moved down or up, and then the number of spaces it has moved left or right.

The y intercept is represented by +1, and is where the line crosses the y axis.

Hope this helps!

Answer:

b,c,e,f is perfect square and other are not a perfect square

Answer: i'll show you how to do it.

Step-by-step explanation:

Is there any number that multiplied by itself gives you one of the options obove?

Example:

81 = 9×9... So it is a perfect square

36 = 6x6... It's a perfect square too

27 = ther isn't a number that multipied by itself is equal to 27... Then, it is not a perfect square

The value of the missing length to the nearest tenth are;

a. x = 7.5

b. x = 7.8

Pythagoras theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

Therefore ;

c² = a²+b²

a. x² = 9²-5²

x² = 81-25

x² = 56

x = √56

x = 7.5 ( nearest tenth)

b. using Pythagoras theorem also!

x² = 6²+5²

x² = 36+25

x² = 61

x = √61

x = 7.8( nearest tenth).

Therefore the value of the missing values are 7.5 and 7.8

learn more about Pythagoras theorem from

https://brainly.com/question/343682

#SPJ1

Subtract 7 from both sides. Subtract 7 from 23 to get 16. Divide both sides by 4. Divide 16 by 4 to get 4.

According to the symmetric property, if one geometric form is congruent to another, the second shape is likewise congruent to the first. The symmetric property of congruence states that for all angles A and B, if AB A B then BA B A.Transitive Property of Congruence. “If two shapes are congruent to the third shape, then all the shapes are congruent to each other,” asserts the transitive property of congruence.

We can solve an equation by applying the four equality properties: addition, subtraction, multiplication, and division. To get the value of an unknown variable, we simply add, subtract, multiply, or divide both sides of an equation.

To learn more about Symmetric to refer:

https://brainly.com/question/14466363

#SPJ1

Answer:

119

Step-by-step explanation:

Firstly, we need to solve the expression inside the parentheses, which is 23-11. This gives us 12. Then we need to carry out the division to get 48 divided by 12, which is 4. We can then multiply 4 by 14 to get 56. Finally, we add 56 to 63 which gives us the answer of 119. Therefore, the solution to the expression 63+48÷(23-11)×14 is 119.

Answer:

Given that tan x = 5/12, what is the value of sin x + cos x?

draw a triangle with opposite leg=3 and hypotenuse=5

tan p = opposite/adjacent = 3/4

similarly, in a 5-12-13 right triangle

sin x + cos x = 5/13 + 12/13

The value of measure of p is,

⇒ p = 36.9 degree

We have to given that,

The value of sin p is,

⇒ sin p = 3/5

Since, p is an acute angle.

Hence, We can find the value of p as,

⇒ sin p = 3/5

Take arc sine both side, we get;

⇒ sin⁻¹ (sin p) = sin ⁻¹ (3 / 5)

⇒ p = sin ⁻¹ (3 / 5)

⇒ p = 36.9 degree

Thus, The value of measure of p is,

⇒ p = 36.9 degree

Learn more about the angle visit:;

https://brainly.com/question/25716982

#SPJ2

Step-by-step explanation:

when it is phrased like that it should mean that we apply the scale factor to the original images to create the new ones.

and that means the new images will in our case be bigger by the factor of 2.

therefore, the 4th answer option is correct.

2 cm turn into 2×2 = 4 cm

1.5 cm turn into 2×1.5 = 3 cm

3 cm turn into 2×3 = 6 cm

The power series of the given function  is 1 + (2x) + (2x)² + (2x)³+ --------------------- + (2x)ⁿ

We know very well that sum of n terms who are in geometric progression their sum of expression is given by  a/1-r where a is first term and r is common ratio between the terms.

Now, we have function f(x)=[1 / (1-2x)]

On comparing with a/1-r with f(x),we get

=>a=1 and r=2x

Now, we know that first term of geometric progression is given by =1

second term of geometric progression is given by=a × r= 1 ×2x

third term of geometric progression is given by =a×r² =1×(2x)²

fourth term of geometric progression is given by=a×r³ =1 × (2x)³

nth term of geometric progression is given by =a×(r)ⁿ = 1 × (2x)ⁿ

Therefore, according to the given formula progression series of given function is=a+ ar +ar² + ar³ + -----------arⁿ

=>progression series = 1+ 2x + (2x)² + (2x)³ + --------- + (2x)ⁿ.

To know more about power series, visit here:

https://brainly.com/question/28169128

#SPJ4

Answer:

Step-by-step explanation:

372 Millimeters

Answer:

2,300 millimeters

Step-by-step explanation:

when you convert 30 centimeters it’s 300 millimeters. When you convert 2 meters it’s 2,000 millimeters so…. That is the correct answer plus I just did the quiz and got it correct with that answer.

AB is a perpendicular bisector of XY, that means AB cuts line XY at a 90 degree angle. Therefore option 1 is correct.

AB is being bisected IS NOT CORRECT. This is because line AB stops at exactly

The area of the composite figure is 111 square units.

A composite figure is a 2D shape or figure that is made up of two or more simpler shapes or figures combined together. These simpler shapes can be any combination of polygons, circles, or other curves.

Composite figures are often formed when two or more basic shapes are put together to create a more complex shape. For example, a figure that consists of a rectangle and a triangle placed together is a composite figure.

To find the area of a composite figure like this, we can break it up into simpler shapes and then find the area of each shape and add them together.

First, we can see that the shape consists of three triangles and a rectangle:

Triangle 1: (0,3), (2,3), (2,7)

Triangle 2: (-7,7), (-7,6), (5,-6)

Triangle 3: (5,1), (-1,-2), (-5,2)

Rectangle: (-3,5), (0,3), (-7,7), (-7,6)

To find the area of each triangle, we can use the formula:

Area = 1/2 * base * height

For Triangle 1, the base is 2 - 0 = 2 and the height is 7 - 3 = 4. So the area is:

Area of Triangle 1 = 1/2 * 2 * 4 = 4

For Triangle 2, the base is 5 - (-7) = 12 and the height is 7 - (-6) = 13. So the area is:

Area of Triangle 2 = 1/2 * 12 * 13 = 78

For Triangle 3, we can see that it is a right triangle with sides of length 6, 6, and 8. So the area is:

Area of Triangle 3 = 1/2 * 6 * 8 = 24

To find the area of the rectangle, we can use the formula:

Area = length * width

The length is the distance between (-7,7) and (-7,6), which is 1. The width is the distance between (-7,7) and (-3,5), which is 5. So the area is:

Area of Rectangle = 1 * 5 = 5

Finally, we can add up the areas of all the shapes to get the total area:

Total Area = Area of Triangle 1 + Area of Triangle 2 + Area of Triangle 3 + Area of Rectangle

Total Area = 4 + 78 + 24 + 5

Total Area = 111 square units

Therefore, the area of the composite figure is 111 square units.

To know more about triangle visit:

https://brainly.com/question/27937129

#SPJ1

Answer:

4.78

Step-by-step explanation:

The first question:

"A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, what is the probability you land on region three and region six?"

Since the spinner has an equal chance of landing on each of its eight regions, the probability of landing on region three is 1/8, and the probability of landing on region six is also 1/8.

To find the probability of both events occurring (landing on region three and region six), you multiply the probabilities together:

P(landing on region three and region six) = P(landing on region three) * P(landing on region six) = (1/8) * (1/8) = 1/64.

Therefore, the probability of landing on both region three and region six is 1/64.

The events are mutually exclusive because it is not possible for the spinner to land on both region three and region six simultaneously.

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

The second question:

"A bag contains six yellow jerseys numbered 1-6. The bag also contains four purple jerseys numbered 1-4. You randomly pick a jersey. What is the probability it is purple or has a number greater than 5?"

To find the probability of either event occurring (purple or number greater than 5), we need to calculate the probabilities separately and then add them.

The probability of picking a purple jersey is 4/10 since there are four purple jerseys out of a total of ten jerseys.

The probability of picking a jersey with a number greater than 5 is 2/10 since there are two jerseys numbered 6 and above out of a total of ten jerseys.

To find the probability of either event occurring, we add the probabilities together:

P(purple or number greater than 5) = P(purple) + P(number greater than 5) = (4/10) + (2/10) = 6/10 = 3/5.

Therefore, the probability of picking a purple jersey or a jersey with a number greater than 5 is 3/5.

The events are overlapping since it is possible for the jersey to be both purple and have a number greater than 5.

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

The third question:

"A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. What is the probability that it is a milk chocolate or has no peanuts inside?"

To find the probability of either event occurring (milk chocolate or no peanuts inside), we need to calculate the probabilities separately and then add them.

The probability of selecting a milk chocolate is 6/10 since there are six milk chocolates out of a total of ten chocolates.

The probability of selecting a chocolate with no peanuts inside is 7/10 since there are seven chocolates without peanuts out of a total of ten chocolates.

To find the probability of either event occurring, we add the probabilities together:

P(milk chocolate or no peanuts inside) = P(milk chocolate) + P(no peanuts inside) = (6/10) + (7/10) = 13/10.

Therefore, the probability of selecting a milk chocolate or a chocolate with no peanuts inside is 13/10.

The events are mutually exclusive since a chocolate cannot be both a milk chocolate and have no peanuts inside simultaneously.

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

The fourth question:

"You flip a coin and then roll a fair six-sided die. What is the probability the coin lands heads up and the die shows an even number?"

The probability of the coin landing heads up is 1/2 since there are two possible outcomes (heads or tails) and they are equally likely.

The probability of rolling an even number on the die is 3

/6 or 1/2 since there are three even numbers (2, 4, and 6) out of a total of six possible outcomes.

To find the probability of both events occurring (coin lands heads up and die shows an even number), we multiply the probabilities together:

P(coin lands heads up and die shows an even number) = P(coin lands heads up) * P(die shows an even number) = (1/2) * (1/2) = 1/4.

Therefore, the probability of the coin landing heads up and the die showing an even number is 1/4.

The events are independent since the outcome of flipping the coin does not affect the outcome of rolling the die.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

1/14

Step-by-step explanation:

The ratio is 5:70. The fraction form of that is 5/70. To get the lowest terms, I divided both numbers by 5. So it is 1/14

Answer:

Natalie arrives is Sheffield at 1:00 pm

Step-by-step explanation:

Answer:

A) 9

Step-by-step explanation:

Both rectangles are the same, just in different sizes. We have to figure out how much bigger rectangle ABCD is than rectangle EFGH.

Side BC compares to side FG, and side BC measures to 22 while side FG measures to 11. 22 is twice as much as 11, so rectangle ABCD is twice as big as rectangle EFGH, which means that the measurements will be twice as big.

So, to find x, we have to divide side CD (which compares to side GH, where the x is) by 2.

18 / 2 = 9

Therefore, side GH (and x) is equal to 9, which means A) is our answer.

Answer:

1

Step-by-step explanation:

Using the points (0,-3) and (-3,0), \(m=\frac{-3-0}{0-(-3)}=1\).

The answer for lateral surface area of the Triangular prism is 180 cm²

Any solid object's lateral area can be calculated using the lateral area formula. Any figure's lateral area only includes the non-base faces. Calculating the lateral surface area of various forms, such as the cuboid, cube, cylinder, cone, and sphere, is made easier using lateral area formulas.

The lateral area for a triangular prism

A triangular prism's lateral area is equal to the sum of its side faces' areas (which are 3 rectangles). Specifically, it is the total surface area less the surface areas of the two bases. Additionally called the lateral surface area (LSA). Due to the two dimensions involved in its calculation, we measure it in square units.

The total of the three regions is the triangular prism's lateral area. Consequently, the triangular prism's lateral area formula is

Triangular prism lateral surface area (LSA) = ah + bh + ch (or) (a + b + c) h.

We are aware that the perimeter of the base is (a + b + c) (triangle). Hence,

Triangular prism's lateral surface area (LSA) is equal to the product of the base's perimeter and the prism's height.

base perimeter × height

Explanation

The Given Image of the solid is Matching to a prism.so we are calculating the lateral surface area of the prism

The dimensions of each base are:

a = 5cm

b = 4 cm

c = 3 cm

The height of the triangular prism = 15cm.

Thus, the lateral area of triangular prism = (a + b + c ) h

= (5 + 4 + 3) 15

= (12) 15

= 180 cm²

Answer: The lateral area of the given triangular prism = 180 cm²

To know more about  triangular prism visit :-

https://brainly.com/question/24046619

#SPJ1

Answer:

The answer is 47200000000

Answer:

  499.338 feet

Step-by-step explanation:

You want to know the distance traveled by an object in 25 seconds when its velocity is described by 20+5cos(t) feet per second.

The distance an object travels is the integral of its velocity. For the given velocity and time period, the distance is ...

  \(\displaystyle d=\int_0^{25}{v(t)}\,dt=\int_0^{25}{(20+5\cos(t))}\,dt=(20t+5\sin(t))|_0^{25}\\\\d=500+5\sin(25)\approx\boxed{499.338\quad\text{feet}}\)

The distance traveled in 25 seconds is 499.33 feet.

It is required to find the distance traveled in 25 seconds.

The distance of an object can be defined as the complete path travelled by an object .Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.

Given:

We have to find the distance , we will integrate v(t) from 0 to 25 second.

Consider an object traveling at constant velocity v = k. Then, each second, it travels k feet, so after t seconds, the distance traveled is k*t.

Now, suppose its speed increases by 1 feet/sec . So, estimate for distance traveled after t seconds is

1 + 2 + 3 + 4 + ... + t = t(t+1)/2, or approximately 1/2 t^2.

According to given question we have

Given a velocity function v, the distance s is figured by taking the integral. In this case,

v = 20 + 5 cos(t)

s = 20t + 5 sin(t) from 0 to 25

= s(45)-s(0)

s(0) = 0

so, the distance is

s(25) = 20*25 + 5sin(25)

= 500 -0.661

=499.33 feet.

Therefore, the distance traveled in 25 seconds is 499.33 feet.

Learn more about distance here:

brainly.com/question/28304899

#SPJ1

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

Explanation:

Apply the difference of squares rule

x^2 - y^2 = (x-y)(x+y)

x^2 - y^2 = (5)(1)

x^2 - y^2 = 5

----------

Alternatively, you can solve the system

\(\begin{cases}x-y=5\\x+y = 1\end{cases}\)

for x and y to get (x,y) = (3,-2).

Then compute x^2-y^2 = 3^2-(-2)^2 = 9-4 = 5

For a game, Bob has a total of 60 adventure cards. The distribution of cards, c, to players, p, is shown in the table. c = 60 ÷ p

Probability defines the possibility of occurrence of an event. Probability is the unit of measurement for an event's likelihood. It represents the proportion of positive results to all results. For instance: Receiving the numbers 3 and 5 while rolling the dice, as well as getting both an even and an odd number.

The equation would read: c = 60 / 2, which implies c = 30 if p=2. The equation would read 12 = 60 / p, p = 5, 20 = 60 / 3, etc. If c = 12, the equation would read... 12 = 60 / p, and p = 5, and so on, 20 = 60 / 3, and 15 = 60 / 4.

To know more about Table visit:

brainly.com/question/20648466

#SPJ1

Using mathematical operations of addition and subtraction, Rodrigo needs to buy additional 2⁷/₂₄ pounds of vegetables.

The basic mathematical operations are addition, subtraction, division, and multiplication.

These mathematical operations can be used to determine the results of mathematical expressions.

The total pounds of vegetables required for a stew = 3 pounds

Available pounds of vegetables:

Onions = 3/8 pounds

Tomatoes = 1/3 pounds

The total available pounds = 17/24 pounds

Additional pounds required = 3 - 17/24 pounds

= 2⁷/₂₄ pounds

Thus, based on addition and subtraction, Rodrigo needs additional 2⁷/₂₄ pounds of vegetables.

Learn more about mathematical operations at https://brainly.com/question/20628271

#SPJ1

Answer:

11.94

Step-by-step explanation:

$1.99 multiplied by 6 is 11.94

Answer:

-12

Step-by-step explanation:

-9,-2=-11

-9,8=-1

-11-1=-12

Let's assume that the corresponding side of the second triangle is \(\displaystyle\sf x\).

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Therefore, we can set up the following proportion:

\(\displaystyle\sf \left( \dfrac{x}{6.3} \right)^{2} =\dfrac{49}{81}\)

To find \(\displaystyle\sf x\), we can solve the proportion above:

\(\displaystyle\sf \left( \dfrac{x}{6.3} \right)^{2} =\dfrac{49}{81}\)

Taking the square root of both sides:

\(\displaystyle\sf \dfrac{x}{6.3} =\sqrt{\dfrac{49}{81}}\)

Simplifying the square root:

\(\displaystyle\sf \dfrac{x}{6.3} =\dfrac{7}{9}\)

Cross-multiplying:

\(\displaystyle\sf 9x = 6.3 \times 7\)

Dividing both sides by 9:

\(\displaystyle\sf x = \dfrac{6.3 \times 7}{9}\)

Calculating the value:

\(\displaystyle\sf x = 4.9\)

Therefore, the corresponding side of the second triangle is \(\displaystyle\sf 4.9 \, cm\).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

Step-by-step explanation:

let's assume that the corresponding side of the second triangle is .

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Therefore, we can set up the following proportion:

To find , we can solve the proportion above:

Taking the square root of both sides:

Simplifying the square root:

Cross-multiplying:

Dividing both sides by 9:

Calculating the value:

Therefore, the corresponding side of the second triangle is 4.9cm


hope it helped u dear...........