What is the measure of angle x?
30°
50°

Answer:

8

Step-by-step explanation:

let x be the number , then

\(\frac{3}{4}\) x = 27 ( multiply both sides by 4 to clear the fraction )

3x = 108 ( divide both sides by 3 )

x = 36

the number is 36, so

\(\frac{2}{9}\) × 36 = 2 × 4 = 8

The two ninths of the number is 8

We know that Three quarters of a number is  \(\frac{3}{4}\)  times of a number

Hence we will assume the number x ,

                     \(\frac{3}{4} of x = 27\)

                     \(x = 27 X \frac{4}{3}\)

                       \(x = 36\)

Now as we know the number is 36

Therefore , the two ninths of the number assumed as y

We will multiply the number 36 by 2 and then divide by 9

Hence,

                           \(y = 36 X \frac{2}{9}\)

                               \(y = 8\)

Thus, the two ninths of the number 36  is 8                            

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The reason why the triangles are congruent include the following: C. A counterclockwise rotation of 180° maps RS to R'S', LS to ZS, and ST to S'T'.

In Mathematics and Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has these coordinates (-x, -y).

Furthermore, the mapping rule for the rotation of a geometric figure 180° counterclockwise about the origin is given by this mathematical expression:

(x, y)                                            →            (-x, -y)

Coordinates of point R (1, 1)  →  Coordinates of point R' = (-1, -1)

In conclusion, we can logically deduce that this transformation rule (x, y) → (-x, -y) would map triangle RST onto triangle R'S'T'.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Step-by-step explanation:

the standard form of a circle equation is

(x - h)² + (y - k)² = r²

where (h, k) is the center of the circle, and r is the radius.

since the center of this circle is the origin (0, 0), we have the simplified version

x² + y² = r²

to get r² we simply use the given point

7² + 1² = r²

49 + 1 = r²

r² = 50

our equation in standard form is therefore

x² + y² = 50

The solution is, x² + y² = 50 , is the equation in standard form for the circle passing through (7, 1) centered at the origin.

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. The perimeter around the circle is known as the circumference.

here, we have,

we know that,

the standard form of a circle equation is

(x - h)² + (y - k)² = r²

where (h, k) is the center of the circle, and r is the radius.

since the center of this circle is the origin (0, 0), we have the simplified version

x² + y² = r²

to get r² we simply use the given point,

here, the circle passing through (7, 1)

so, we get,

7² + 1² = r²

49 + 1 = r²

r² = 50

we get, equation in standard form is therefore

x² + y² = 50

Hence, The solution is, x² + y² = 50 , is the equation in standard form for the circle passing through (7, 1) centered at the origin.

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The difference between the floors between Pete and his car is 29

Given: Pete is on the 23rd floor and car is parked 6 floors underground.

The first thing we assume before proceeding for the solution is that we are assuming the 0th floor to be the ground level. So floors that are built above the 0th floor are considered as floors above the ground and floor below the 0th floor are considered as the floors below the ground level.

Also as we have assumed 0th floor to be the ground level, the building has no floor named as Ground Floor or floor at the 0th floor. So there are exactly floors 1 to 23 above the ground level and floor -1 to -6 below the ground level. ( We consider the ground level to be neutral. Anything above ground level is conventionally written with a plus sign or no sign and anything below the ground level is conventionally written with a negative sign below it. For calculations this negative sign is not important for this particular sum. It is used only for better understanding)

So for the given question:

Let's say Pete is 23 units above the ground and the car is 6 units below the ground.

Therefore the total separation of floors between Pete and his car can be calculated as:

Total number of floors above the ground level + Total number of floors below the ground level

Total number of floors above the ground level = 23

Total number of floors below the ground level = 6

Total separation of floors between Pete and his car = 23 + 6 = 29

Hence, the difference between the floors between Pete and his car is 29

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Answer:

The answer is 91

Step-by-step explanation:

90 x 6 = 540

The numbers need to equal 540 all together to make an average of 90.

97 + 86 + 83 + 95 + 88 = 449

540 - 449 = 91

To check:

97 + 86 + 83 + 95 + 88 + 91 = 540

Therefore, the answer is 91

Answer:

Both A and B

Step-by-step explanation:

Both a and b. A three-way intersection can be referred to as a T-intersection or a Y-intersection, depending on the shape of the intersection. In a T-intersection, one road intersects another road perpendicularly, forming a T-shape. In a Y-intersection, one road splits into two branches, forming a Y-shape.

Answer:

B 09

Step-by-step explanation:

2+6+20+11+8+12+4

7

63/7 = 9

Answer:

0

Step-by-step explanation:

x² + 26 = 0 ( subtract 26 from both sides )

x² = - 26 ( take square root of both sides )

x = ± \(\sqrt{-26}\)

\(\sqrt{-26}\) ← has no real solutions

Answer:

0

Step-by-step explanation:

Look above goofy, have a good day!

Answer:

The scientific notation is a method of writing very large or very small numbers in a more compact and easy to read format. It is expressed in the form of a x 10^n, where "a" is a number between 1 and 10, and "n" is an integer.

To write 464000 in correct scientific notation, we need to move the decimal point to the left until we get a number between 1 and 10. We count the number of places we moved the decimal point, and that will be the exponent of 10.

So, we can write 464000 as:

4.64 x 10^5

Therefore, the correct scientific notation of 464000 is 4.64 x 10^5.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let's understand this problem with an example.

\(\frac{1}{3}\) fraction of a cake defines one part taken out of total 3 parts of the cake.

If this cake is divided in 6 parts, \(\frac{1}{3}\) of the cake will be defined by the two parts parts chosen out of 6 parts of the cake.

Algebraically we represent this phenomenon with,

\(\frac{1}{3}=\frac{1\times 2}{3\times 2}=\frac{2}{6}\)

Therefore, color two parts out of 6 to represent \(\frac{1}{3}\)

Answer: The answer is in the steps

Step-by-step explanation:

M                h

15               40

20              45

25               50

30                55

Using trigonometric function the length to the nearest foot of the shortest ladder that will safely reach a roof that is 23 feet high is calculated as 25 feet.

What are trigonometric functions?

Simply put, trigonometric functions—also called circular functions—are the functions of a triangle's angle. This means that these trigonometric functions provide the relationship between the angles and sides of a triangle. Sine, cosine, tangent, cotangent, secant, and cosecant are the fundamental trigonometric functions.

Given the angle a ladder makes with the ground should be no greater than 67°.

So the angle θ ≤ 67°.

Let us assume the angle to be equal to 67°

The height of the roof from the ground is 23 feet.

The ladder and wall form the right triangle where the ladder works as hypotenuse and the wall as perpendicular.

With the sine function, find the length of the ladder -

sin θ = perpendicular/hypotenuse

Let the length of ladder be x.

sin 67° = 23/x

x = 23/sin 67°

x = 23/0.920

x = 25 feet

Therefore, the length of the ladder is 25 feet.

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Answer:

14

Step-by-step explanation:

4y-10 + y = 20

5y - 10 = 20

5y = 30

y = 6

and then

x = 14

Answer:

Hello! answer: C

Hope that helps!

Answer:

b

Step-by-step explanation:

Experimental - 5 choices, 1 is Q = 1/5

Theoretical - 5 choices, landed on Q 4 times =4/5

Answer:

-3x -12

Step-by-step explanation:

-6x +3x = -3x

-3-9 = -12

Answer:

Brianliest!

Step-by-step explanation:

4

1 in 500

500 x 4 = 2000

4 in 2000

The expression for h(x) is,

⇒  h (x) = √(x - 2) + 4

Now, Given that;

Initially the graph f (x) is shifted horizontally to the right.

When the graph shifts to right the function then becomes

f (x) → f (x-b)

Where b is the units by which it is shifted towards right .

So, in the figure we can see that it is shifted 2 units to the right .

So, f(x) → f(x-2)

Since f(x) is,

⇒ f (x) = √x

So, f (x-2) = √x - 2

Now, the new obtained graph is again shifted vertically upward

When the graphs shifts upward;

⇒ f(x) → f(x) + b

where b is the units by which it is shifted upward

So, our obtained f(x-2) when shifted upward by 4 units so using the above given transformation of upward shift

i.e. f(x) → f(x) + b

So, Our new graph h(x) = f(x-2) + 4

⇒  h (x) = √(x - 2) + 4

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Answer:

There is no asymptote

Step-by-step explanation:

Asymptotes occur when you have a divide by 0 error/undefined. The graph of h(x) = 4x - 2 is a linear line, so no asymptotes are present.

Answer:

y= -2

Step-by-step explanation:

The observation of the pattern is discussed below.

When we calculate the squares of the numbers from 1 to 10 and observe the digits at the one's place of each square, we notice a pattern:

1²=1

2²=4

3²=9

4²=16

5²=25

6²=36

7²=49

8²=64

9²=81

10²=100

If we focus on the digits at the one's place, we can see that they form a repeating pattern: 1, 4, 9, 6, 5, 6, 9, 4, 1, 0. This pattern repeats itself as we calculate the squares of higher numbers.

This observation is known as the "digit at one's place pattern" or the "units digit pattern." It occurs because the square of any number depends only on the digit at the one's place of that number. Hence, when we square numbers that have the same digit at the one's place, we get the same digit at the one's place in the result.

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Answer:

-1

Step-by-step explanation:

The slope of a line can be found using the formula:

\(\boxed{\text{Slope}=\frac{y_1-y_2}{x_1-x_2} }\)

In the above formula, \((x_1,y_1)\) is the first coordinate and \((x_2,y_2)\) is the second coordinate.

Given that the two coordinates are (1, 4) and (3, 2),

slope of graph

= \(\frac{4-2}{1-3}\)

= \(\frac{2}{-2}\)

= -1

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The Solution:

Given:

Required:

Find the daily rate. ( that is, the number of books the library checks out daily).

Divide the number of books by 28.

Thus, the daily rate is 545 books per day.

Step-by-step explanation:

did you make a typo, or do you actually mean dm ?

1 dm = 10 cm

in any case, in a right prism object it does not matter what shape the bases are.

the volume is always

base area × height

so, if you did not make a typo, then

height = 2.3 dm = 23 cm

and the volume of the prism is

44 × 23 = 1012 cm³

but if you did make a typo and

height = 2.3 cm,

then the volume of the prism is

44 × 2.3 = 101.2 cm³

Answer:

1012 centimeters cubed

Step-by-step explanation:

Volume=base x length x width

height = 2.3 dm, which is 23 cm, so the volume of the prism would be 44 × 23 = 1012 cm cubed

The area of kite is 42 in². The correct option is D. 42 in²

From the question, we are to determine the area of the kite.

The area of a kite can be calculated by using the formula

A = pq/2

Where p and q are the diagonals

First, we will determine the lengths of the diagonals

p = 4 in + 10 in

p = 14 in

To determine the other diagonal, q

Let x be half of q

Then, we can write that

x² + 4² = 5² (Pythagorean theorem)

x² + 16 = 25

x² = 25 - 16

x² = 9

x = √9

x = 3

But, q = 2x

Then,

q = 2×3

q = 6

Thus,

Area of the kite = (14×6)/2

Area of the kite = 42 in²

Hence, the area is 42 in²

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Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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Average speed of the car will be the total distance traveled in the total time. Taking distance travelled as 150 in 5 seconds we have average speed as. 30×1=30 m

Answer:

Solution:

o -3.5

As number is negative so sign bit notation is 1.

o First convert 3.5 into binary Binary of 3.5 is 011.1

Mantissa field:

0111

radix in .0111 must be moved 3 bit to the right to obtain

011.1

So exponent is positive 3…

Final 8 bit floating point notation is

1

1

1

1

0

1

1

1

Step-by-step explanation:

When the former image is rotated, the dots will be located at section 2 and 7.

When an image is rotated, the constituents within it also changes its position as the object is moves from a point to another about a pivot junction.

From the given image above, after the rotation of the initial image, the dot should be located at number 2 and 7 of the new image.

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The expression that models the number of people attending concert 1 is given as follows:

512/6.

The number of people attending concert 1 is obtained applying the proportions in the context of the problem.

From the bar model, the fractions corresponding to each concert are given as follows:

The total number of people is given as follows:

512.

Hence the expression that models the number of people attending concert 1 is given as follows:

512/6.

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A) The type of triangles are congruent triangles

B) By the use of SAS Congruency Postulate

C) The distance across for the sink hole is: 52.2 ft

D) The perimeter of triangle ABC is: 172.2 feet.

A) Congruent triangles are defined as the triangles created because of the phrasing "you recreate the same triangle" mentioned in the instructions. Congruent triangles are basically identical carbon copies of each other.

B) If we knew the measure of angle ACB, and then mad use of it to form angle ECD, then we would have enough information to know that triangle ACB was congruent to triangle ECD. Therefore, it would be useful to do the SAS (side angle side) congruence rule.

C) We know that:

AB = ED = 52.2

AB is the distance across the sink hole. Thus, it is 52.2 feet

D) AB = 52.2

BC = 70

AC = 50

Thus:

Perimeter of triangle ABC = AB + BC + AC

Perimeter of triangle ABC = 52.2 + 70 + 50

Perimeter of triangle ABC = 122.2 + 50

Perimeter of triangle ABC = 172.2

The perimeter of triangle ABC is 172.2 feet.

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Answer:

Step-by-step expA) The type of triangles are congruent triangles

B) By the use of SAS Congruency Postulate

C) The distance across for the sink hole is: 52.2 ft

D) The perimeter of triangle ABC is: 172.2 feet.

How to solve congruent triangles?

A) Congruent triangles are defined as the triangles created because of the phrasing "you recreate the same triangle" mentioned in the instructions. Congruent triangles are basically identical carbon copies of each other.

B) If we knew the measure of angle ACB, and then mad use of it to form angle ECD, then we would have enough information to know that triangle ACB was congruent to triangle ECD. Therefore, it would be useful to do the SAS (side angle side) congruence rule.

C) We know that:

AB = ED = 52.2

AB is the distance across the sink hole. Thus, it is 52.2 feet

D) AB = 52.2

BC = 70

AC = 50

Thus:

Perimeter of triangle ABC = AB + BC + AC

Perimeter of triangle ABC = 52.2 + 70 + 50

Perimeter of triangle ABC = 122.2 + 50

Perimeter of triangle ABC = 172.2

The perimeter of triangle ABC is 172.2 feet.

lanation: