$27
D. $300
Eck to select your answer.

The length of the fence around the enclosure not including the gates is:2l + 2w + 8 m

To find the length of the fence around the enclosure, we need to first find the perimeter of the rectangle and then subtract the combined length of the two gates from it.

Let's assume the length of the rectangle is 'l' and the width is 'w'.

From the given data, we know that each gate is 4 m wide.

Therefore, the width of the rectangle is:

Width = w + (4 m + 4 m) = w + 8 m

The perimeter of the rectangle is:

P = 2l + 2(w + 8 m) = 2l + 2w + 16 m

Now, we need to subtract the combined length of the two gates from the perimeter:

P - 2 × 4 m = 2l + 2w + 16 m - 8 m = 2l + 2w + 8 m

So, the length of the fence around the enclosure not including the gates is:2l + 2w + 8 m

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Answer:240

Step-by-step explanation:

400/5 = 80
80 x 3 = 240
240/400 people bought choc chip

The only equation that is a polynomial identity is (A), (c+d)³ = c³ - d³ + 3cd(c + d).

It should be noted that to determine which equation is a polynomial identity, we need to simplify both sides of each equation and see if they are equal for all values of c and d.

(A) (c+d)³ = c³ + 3c²d + 3cd² + d³

= c³ - d³ + 3cd(c + d)

The left-hand side can be expanded using the binomial formula. The right-hand side is a polynomial of degree 3, so we can see that equation (A) is a polynomial identity.

(B) (c+d) = c + d³ + 3cd(c + d)

= d³ + c³ + 3cd(c + d) + c + d - c³

= d³ + c³ + 3cd(c + d) + c + d

The right-hand side can be simplified, but it is not equal to the left-hand side for all values of c and d. Therefore, equation (B) is not a polynomial identity.

(C) (c+d)³ = c³ + 3c²d + 3cd² + d³

= c³ + d³ + 3cd(c + d) + cd(c - d)

The right-hand side is not equal to the left-hand side for all values of c and d, so equation (C) is not a polynomial identity.

(D) (c+d)³ = c³ + 3c²d + 3cd² + d³

= c³ - d³ + 3cd(c - d) + c³ + d³

= 2c³ + 3cd(c - d)

The right-hand side is not equal to the left-hand side for all values of c and d, so equation (D) is not a polynomial identity.

Therefore, the only equation that is a polynomial identity is (A), (c+d)³ = c³ - d³ + 3cd(c + d).

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If the random variable x is normally distributed with a mean equal to 0.45 and a standard deviation equal to 0.40, then P(x ≥ .75) is 0.9227.

A z-score describes the position of a raw score in terms of its distance from the mean when measured in standard deviation units. The z-score is positive if the value lies above the mean and negative if it lies below the mean.

Given the problem above, we need to find what the z-score is when P(x ≥ .75).

The formula for calculating a z-score is given by:

\(Z=\dfrac{\text{x}-\mu}{\sigma}\)

Where:

Now,

\(Z=\dfrac{\text{x}-\mu}{\sigma}\)

\(Z=P(\text{x} \geq 0.75) = \huge \text(\dfrac{P(Z \geq (0.75 - 0.45)}{0.40}\huge \text)\)

\(Z= P\huge \text (\dfrac{Z \geq0.30}{0.40}\huge \text)\)

\(Z=P(Z \geq 0.75) = 1 - P(Z < 0.75)\)

\(Z=1 - 0.077337\)

\(Z\thickapprox 0.9227\)

Therefore, the z-score of P(x ≥ .75) is 0.9227.

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a. Using the ratio of the sides 12 cm and 16 cm

x/20 = 12/16

x = (12(20)) / 16 = 15

b. Using the ratio of the sides 6 cm and 8 cm

x/20 = 6/8

x = (6(20)) / 8 = 15

c. The answer is the same since the ratio 12/16 and 6/8 is both equal to ¾.

Hope this answer will be a good help for you.

Answer:

Surface area = 804m^2

On solving the provided question we can say that by herons formula, area of the triangle is, A = 2.828

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

the provided points are Triangle X(1, 6), Y(5, -2), Z(-5, -1)

by herons formula

A = \(\sqrt{s(s-a)(s-b)(s-c)}\)

s = a+b+c/3

s = 5+2+5+/3 =12/3 = 4

Area of the triangle is, A =

\(\sqrt{4(5-4)(4-2)(5-4)} \\A = \sqrt{4*1*2*1} \\A = \sqrt{8} \\A = 2\sqrt{2}\\ A = 2*1.414\\A = 2.828\)

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Answer:

2.828

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

43,025,92

Step-by-step explanation:

Answer:

The answer to this question is 28 because -7 times 2 equals 14 times -2 equals 28

Answer:

5.

Step-by-step explanation:

15.90 / 3.18 =

Step-by-step explanation:

if there is no typo the expression is :

7 + 5c + 4d - 8c + d

to simplify combine all terms with the same variable and exponent of that variable.

so, this is

7 + (5c - 8c) + (4d + d) = 7 - 3c + 5d

Answer:

-3c+5d+7

Step-by-step explanation:

Answer:

1234567891011121314151617181920

Given :

Karen spent 3 2/5 hours on it and figures that she is about 4/8 done.

To Find :

How many more hours will she need to spend on this project .

Solution :

Simplifying time spend in normal fraction .

\(t=3\dfrac{2}{5}=\dfrac{(3\times 5)+2}{5}\\\\\\t=\dfrac{17}{5}\ hours\)

Now , time taken to complete full project .

\(x=\dfrac{17}{5} \times \dfrac{8}{4}\\\\x=6.8\ hours\)

Therefore , hours required to complete the project is 6.8 hours .

Hence , this is the required solution .

Step-by-step explanation:

1. KOL = 90

2.KLO = 25

3.NL= 30

4.KL = 17

workings

1.for angle

KOL =90 : the diagonals of rhombus are perpendicular to each other

2. angle LKO + angle KLO + angle KOL =180 : angles of triangle are supplementary(add to 180)

65+ KLO + 90 =180

KLO +155

KLO = 180 - 155

KLO = 25

3. NL = NO + LO: diagonals of the rhombus bisect each other

NL = 15 +15

NL = 30

4. Cos 25 = 15/KL

multiply by KL on both sides

KL × Cos 25 =15

divide by cos 25 on both sides

KL = 17

Answer:

f(x)= -2[x+1]

this is the answer of the question

The proof for the above is given as  follows:

∠A ≅ ∠C -  Given

BD ⊥ ∠ABC - Given
AC ⊥ BD - Angle Bisector Theorem

According to the angle bisector theorem, a triangle's opposing side is split into two segments that are proportionate to its other two sides. A ray that splits a given angle into two equal angles is known as an angle bisector.

Thus, it is correct to state that AC ⊥ BD according to the angle bisector theorem.

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When rotating a point 270 degrees counterclockwise about the origin,

a point (x,y) becomes (y,-x).

This means, we switch x and y and negate x.

The point to rotate 270 degrees counterclockwise is (2, -3). According to the rule, it will becomes:

(-3,-2)

From the answer choices, it is C

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

A translation is horizontal direction and vertical direction is given by the ordered pair:

Where

x is the horizontal translation (negative if left, positive if right)

y is the vertical translation (negative if down, positive if up)

So, a translation of 7 unit left and 1 unit down in going to be:

<-7, -1>

From the answer choices, it is D

Path A-B-C-E represents the distance traveled, which is 18 meters.

Path A-G-C-E represents the displacement, which is 17 meters.

From the given figure, we can identify the paths and calculate the distance and displacement.

Path A-B-C-E represents the distance traveled, and path A-G-C-E represents the displacement.

Let's calculate the lengths of both paths:

Distance traveled (Path A-B-C-E):

Length of AB = 9m

Length of BC = 3m

Length of CE = 6m

Total distance traveled = Length of AB + Length of BC + Length of CE

= 9m + 3m + 6m

= 18m

Therefore, the distance traveled along path A-B-C-E is 18 meters.

Displacement (Path A-G-C-E):

Length of AG = 5m

Length of GC = 6m

Length of CE = 6m

Total displacement = Length of AG + Length of GC + Length of CE

= 5m + 6m + 6m

= 17m

Therefore, the displacement along path A-G-C-E is 17 meters.

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11. Angle KEF = 40°, Angle KEJ = 50°

12. Angle HEF = 115°, Angle KED = 140°

13. Angle JEF = 90°, Angle KEF = 90°

14.   Angle DEF = 180°

The study of points, lines, and shapes in two and three dimensions, as well as their properties and relationships, is the focus of the mathematical discipline known as geometry.

11.  Acute angles: Those angles are less than 90 degree angles.

     Angle KEF = 40°

     Angle KEJ = 50°

     Angle KEH = 75°

     Angle JEH = 25°

     Angle HED = 65°

12. Obtuse angles: Those angles are more than 90 degree angles.

     Angle HEF = 115°

     Angle KED = 140°

13. Right angle: Those angles are 90 degree angle.

     Angle JEF = 90°

     Angle KEF = 90°

14. Straight angle: Those angles make 180 degree angle.

     Angle DEF = 180°

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Answer:

Two possible sets of answers.

5 men, 11 women and 42 children, or

10 men, 2 women and 88 children

Selamat Sadhya!

Step-by-step explanation:

M = number of men

W = number of women

100-M-W = number of children

Total number of pappadas

5M+3W+(100-M-W)/2 = 100

Solve for W

W = (100-9M)/5 .......................(1)

Examine equation (1).

In order to have W as a whole number, M must be multiple of 5

Therefore M = 5 or 10

If M = 5, W = (100-45)/5 = 11 and children = 100-5-11 =  84

If M = 10, W = (100-90)/5 = 2 and children = 100-10-2 = 88

The correct answer is: O Yes, distance and angle measure are preserved.

When a triangle ABC is reflected across the line y = x, the pre-image and image are congruent.

This is because the line y = x is the perpendicular bisector of the segment joining each corresponding point of the pre-image and image.

Reflection across the line y = x is a type of transformation known as an isometry, which preserves both distance and angle measure.

Here's why:

Distance preservation:

When a point is reflected across the line y = x, the distance between the original point and its reflection remains the same.

This holds true for all corresponding points of the triangle.

Therefore, the distance between any two corresponding points in the pre-image and image triangle will be equal, resulting in distance preservation.

Angle preservation: When a line segment is reflected across the line y = x, the angle between the line segment and the line y = x is preserved. This means that the corresponding angles in the pre-image and image triangle will be congruent.

Since both distance and angle measure are preserved during reflection across the line y = x, the pre-image and image triangles are congruent.

It's important to note that congruence under reflection across a line holds only when the line of reflection is the same for both the pre-image and image.

If the line of reflection were different, the triangles would not be congruent.

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Answer:

1

Step-by-step explanation:

The complete values are:

1. Scale factor = 1/2

DE = 17.69

AC = 6.5 unit

AB = 8.845 unit

2.  Scale factor = 2/3

UT = 11.34 unit

YZ =  12 unit

XY =  17 unit

1. In ΔACB and ΔDFE

Using Pythagoras

DE = √13² + 12²

DE = √169 + 144

DE = √313

DE = 17.69

AC = 6.5 unit

AB = 8.845 unit

and, Scale factor = 6/12 = 1/2

2. In ΔTUV and ΔXYZ

Scale factor = 8/12 = 2/3

Using Pythagoras

UT= √64 + 64

UT = 11.34 unit

So, YZ = 8  x 3/2 = 12

and, XY = 11.34 x 3/2 = 17

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Answer:hey besties

Step-by-step explanation:

Pew pew

Answer:

Her speed was 51 mph per hour

Answer:

51.2 mph per hour

Step-by-step explanation:

Answer:

12 ft

Step-by-step explanation:

P=2L+2w

56=2(w+4)+2w

56=2w+8+2w

56=4w+8

4w=48

w=12

Answer:

i think the answer is 5

Step-by-step explanation:

if it greater than or equal to its 1 or higher but, its not 10 because it has to be less than 10 5 falls right in the middle of greater that or equal to 1 but less than 10

The function shown on the graph has the same rate of change, but a higher starting point

Fine the diagram needed attached.

The rate of change of the line is the slope of the line. The standard equation of a line is expressed as y = mx + b;

Given the equation y = 5x + 5, the rate of change of the expression is 5.

For the given graph, the slope of the graph is expressed as:

(2, 4) and  (0, -6)

m = -6-4/0-2

m =-10/-2

m = 5

Hence the rate of change of the graph is 5.

The function shown on the graph has the same rate of change, but a higher starting point

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