Quick !
The perimeter of the rectangle below is 118 units. Find the length of side AD.

Answer:

-√3/2

Step-by-step explanation:

Given the expression:

Cos(7π/6)

Conver to degrees

=  Cos(7(180)/6)

= cos 210

= -√3/2

Hence the value of cos(7π/6) is -√3/2

Step-by-step explanation & answer:

Conjugate = 5+3i

Multiply fraction by conjugate:

(15+9i+10i+6i^2) / (25-9i^2)

Simplify:

(15+19i+6i^2) / (25-9i^2)

i^2 is -1:

(15+19i-6) / (25+9)

So:

9+19i / 34

Into a +bi form:

9/34 + 19i/34

Answer:

1. 33km

2. 1.2ft

3. 16in

4. 20.1ft

5. 7.2yd

6. 38mi

Step-by-step explanation:

1. 10+11+12=33km

2. 1/2(1.8+0.6)1=1.2ft

3. 5+5+3+3=16in

4. 4.1+2.7+5.4+7.9=20.1ft

5. 1.8+1.8+1.8+1.8=7.2yd

6. 12+7+12+7=38mi

Answer:

Option C

Step-by-step explanation:

In the given triangles ΔRSW and ΔWXY,

m(∠S) = m(∠X) = 60° [Given]

Properties of congruence of two triangles applicable in this question,

SAS or ASA

For the congruence of two triangles by the property SAS,

"Two corresponding sides and the included angle should be congruent"

RS ≅ WX, ST ≅ XY and ∠S ≅ ∠X

Which is not given in any option.

For the congruence of two triangles by the property ASA,

"Two consecutive angles and the side having these angles should be congruent"

∠R ≅ ∠W, ∠S ≅ ∠X and RS ≅ XY

Option C will be the correct option.

Answer:

a. ∆EGF ≅ ∆EGD

Step-by-step explanation:

Congruent triangles would have the same side lengths and the same measure of angles.

From the figure given:

EG in ∆EGF ≅ EG in ∆EGD

GF in ∆EGF ≅ GD in ∆EGD, also

EF ≅ ED.

The three angles in ∆EFG are also congruent to the three angles in ∆EGD.

Therefore, ∆EGD is congruent to ∆EGF.

∆EGF ≅ ∆EGD

Answer:

Step-by-step explanation:

m = (y2-y1) / (x2-x1)

m = (-8-0) / (-5-5) = 4/5  

note that it does not matter which points you chose to be second or first

then use slope point equation again it does not matter which point from the slope you use

y - y1 = m ( x - x1 )

y - 0 = 4/5 ( x - 5)

y = 4/5x -4

please if you find my answer helpful mark it brainiest

Answer:

I would say 100 since 256.78 is closer to 100 then 1000 or 10

Step-by-step explanation:

Answer: Choice D

9, 30, 93, 282, 849

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

Explanation:

The notation [tex]a_1 = 9[/tex] tells us that the first term is 9

The notation [tex]a_n = 3*(a_{n-1})+3[/tex] says that we multiply the (n-1)st term by 3, then add on 3 to get the nth term [tex]a_n[/tex]

So if we wanted the second term for instance, then we'd say

[tex]a_n = 3*(a_{n-1})+3\\\\a_2 = 3*(a_{2-1})+3\\\\a_2 = 3*(a_{1})+3\\\\a_2 = 3*(9)+3\\\\a_2 = 27+3\\\\a_2 = 30\\\\[/tex]

If we want the third term, then,

[tex]a_n = 3*(a_{n-1})+3\\\\a_3 = 3*(a_{3-1})+3\\\\a_3 = 3*(a_{2})+3\\\\a_3 = 3*(30)+3\\\\a_3 = 90+3\\\\a_3 = 93\\\\[/tex]

and so on.

The terms so far are: 9, 30, 93

You should find the fourth and fifth terms are 282 and 849 respectively if you keep this pattern going.

Therefore, the answer is choice D

Answer:

(0, 80)

(15, 10)

Step-by-step explanation:

The initial point the beginning of the point and the point where the horizontal distance covered is 15 ft are the two points needed to calculate the average rate of change required.

From the graph,

Initial point = (0, 80)

The point of the slide when distance covered is 15 ft = (15, 10)

These are the points needed.

Step-by-step explanation:

the answer is 640. Hope this helps

The side length of dilated cubes is 10.08 units. Then the surface area of the dilated cube is 609.6384 square units.

Dilation means the changing of the size of the object without changing the shape. The size of the object may be increased or decreased based on the scale factor.

A solid has a volume of 2 cubic units and a surface area of 10 square units.

The solid is dilated, and the image has a volume of 128 cubic units.

Let the original side length of the cube be a and dilated length of the cube be b.

The value of a will be

[tex]a^3 = 2\\\\a \ = 1.26[/tex]

Then the ratio of their volume will be

[tex]\rm \dfrac{b^3}{a^3} = \dfrac{Dilated \ volume }{Original \ volume }\\\\\\\dfrac{b^3}{a^3} = \dfrac{128}{2}\\\\\\\dfrac{b^3}{a^3} = 64\\\\\\\dfrac{b}{1.26} = 8\\\\\\b \ = 10.08[/tex]

Then the surface area of the dilated cube will be

[tex]\rm Dilated \ surface \ area = 6 *10.08^2\\\\Dilated \ surface \ area = 6*101.6064\\\\Dilated \ surface \ area = 609.6384 \ square \ units[/tex]

More about the dilation link is given below.

https://brainly.com/question/2856466

Answer:

one solution

Step-by-step explanation:

4(x - 5) = 3x + 7

4x - 20 = 3x + 7

4x - 3x = 7 + 20

x = 27

Answer:

1 solution

Step-by-step explanation:

x = 27

distribution of 4 into x and -5

4x-20 = 3x +7

-3x+20=-3x+20

x = 27

Answer:

no not correct it should be horizontally left 2 units and vertically down 5 units

Answer:

6536 cubic in

Step-by-step explanation:

1. Split both the prisms apart- In doing so, you can simplify the problem.

2. Put in the #'s for the formula which in this case is V=L*W*H, we will start with the formula for the front one, V=7*8*1 or V=7*8

3. answer for the front is 56 cubic in, now we solve for the other half.

4. V=9*1*90 or V=9*90 which is 6480 cubic in.

5. add 6480 and 56 and your answer is 6536 cubic in as your answer.

Hope this helped ;D

Given:

The given statements are:

[tex]p:2x=16[/tex]

[tex]q:3x-4=20[/tex]

To find:

The converse of [tex]p\to q[/tex].

Solution:

The statement [tex]p\to q[/tex] means if p, then q and the converse of this statement is [tex]q\to p[/tex].

[tex]q\to p[/tex] means if q , then p.

We have, [tex]p:2x=16[/tex] and [tex]q:3x-4=20[/tex].

So, the converse of given statement is:

[tex]q\to p:[/tex] If [tex]3x-4=20[/tex], then [tex]2x=16[/tex].

Therefore, the correct option is D.

Answer: Therefore, the correct option is D.

Step-by-step explanation:

Given:

p: 2x = 16

q: 3x – 4 = 20

RE

Which is the converse of p - q?

ООО

If 2x + 16, then 3x - 47 20.

If 3x - 420, then 2x + 16.

If 2x = 16, then 3x – 4 = 20.

If 3x - 4 = 20, then 2x = 16

To find:

The converse of .

Solution:

The statement  means if p, then q and the converse of this statement is .

means if q , then p.

We have,  and .

So, the converse of given statement is:

If , then .

Therefore, the correct option is D.

Answer:

Both triangles are triangle rectangles, but the triangles are not similar.

Step-by-step explanation:

By the Pythagorean's theorem, we know that for a triangle rectangle the sum of the squares of the cathetus is equal to the square of the hypotenuse.

Where the cathetus are always the two sides of smaller length.

We also know that two figures are similar if all the correspondent sides are proportional to each other, this means that the figures have the same shape but different size.

First, for triangle A the measures of the sides are:

48, 55, 73

Here the two catheti are 48 and 55, and the hypotenuse is 73.

Then to answer the first question we need to try to apply the Pythagorean's theorem, we should have:

48^2 + 55^2 = 73^2

solving that we get:

5,329 = 5,329

This is true, thus triangle A is a triangle rectangle.

Now for triangle B the measures are: 36, 77 and 85.

So the catheti are 36 and 77, and the hypotenuse is 85

So to check if triangle B is a triangle rectangle the equation:

36^2 + 77^2 = 85^2

must be true, solving both sides we get:

7,225 = 7,225

This is true, so triangle B is a triangle rectangle.

Finally, to check if the figures are similar we need to compare the correspondent sides of both triangles, such that the quotient of correspondent sides must be always the same.

For the hypotenuses, if we compute:

(hypotenuse B)/(Hypotenuse A) we get:

85/73 = 1.16

Now if we do the same for the two smaller catheti we get:

36/48 = 0.75

The quotients are different, thus the triangles are not similar.

Answer:

0.16

Step-by-step explanation:

As it is stated that the card having the label of a dog has a probability of 0.4. Hence, the probability that they both choose a card labeled dog is 0.16.

Answer: I don't know the exact details but Egypt is home to some of the world's most famous tombs, among them the monumental pyramids. Egyptians built rectangular benches over graves during the fourth dynasty, which was known as the Masabas period. During this time period, pyramids were constructed by stacking square or rectangular tombs on top of one another.

Step-by-step explanation:

Answer:

sorry no idea hhcchuucghhf

Answer:

33

Step-by-step explanation:

Pls vote my answer as brainliest

Answer:

33

Step-by-step explanation:

Given:

The distance between the two buildings on a map = 14 cm

The scale is 1:35000.

To find:

The actual distance in km.

Solution:

The scale is 1:35000.

It means 1 cm on map = 35000 cm in actual.

Using this conversion, we get

14 cm on map = [tex]14\times 35000[/tex] cm in actual.

                       = [tex]490000[/tex] cm in actual.

                       = [tex]4.9\times 1000o0[/tex] cm in actual.

                       = [tex]4.9[/tex] km in actual.          [tex][1\text{ km}=100000\text{ cm}][/tex]

Therefore, the actual distance between two buildings is 4.9 km.        

Answer:

B. -oo < x < 3

Step-by-step explanation:

since the vertex (3, -1), so, x should be less than 3

-oo < x < 3

Answer:a

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

This set of coordinates does represent a point [tex]P(x,y)[/tex].

Considering a Euclidian plane, such that [tex]P(x,y) \in\mathbb{R}^2[/tex], we have [tex]x\in(-\infty, 0)[/tex] and [tex]y\in[0, \infty)[/tex] . Therefore, the point is in Quadrant II. You possibly forgot to give the points, but point like [tex](-1, 2), (-20, 5), (-1.234, 78)[/tex] could be the answer. In fact, you can just define the point as

[tex]P(x,y) \in\mathbb{R}^2 : x\in(-\infty, 0) \text{ and } y\in[0, \infty)[/tex]

To express the phrase "Three times a number, decreased by five" as an algebraic expression, we can use the variable x to represent the unknown number: 3x - 5

Now, let's simplify this expression: Given that the unknown number is represented by x, we can substitute it into the expression above. Substituting x into the expression, we have: [tex]3(x) - 5 3x - 5[/tex] Therefore, the algebraic expression representing "Three times a number, decreased by five" is [tex]3x - 5.[/tex] At this point, there is no further simplification possible since the expression is already in its simplest form.

For example, let's assume the unknown number x is 7. We can plug in this value to evaluate the expression: [tex]3(7) - 5 = 21 - 5 = 16[/tex] Similarly, if x is -2, the calculation would be: [tex]3(-2) - 5 = -6 - 5 = -11[/tex] In conclusion, the algebraic expression 3x - 5 represents the phrase "Three times a number, decreased by five."

To know more about algebraic expression visit:

https://brainly.com/question/953809

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Answer:

Step-by-step explanation:

yeah

Answer:

A

Step-by-step explanation

Answer:

the answer is c

Step-by-step explanation:

distributive property

Answer:

At X = 0     Y = 10

At X = 2      Y = 6

Rate of  change = change in Y / change in X = -4 / 2 = -2   or B

Answer:

1. -4

Answer:

Question 1 = 256

Question 2 = ( 7, 8, 12)

Answer:

the angle would be 64°

Step-by-step explanation:

since the other angle is already 296° having the other angle would add to complete the 360 degrees of the circle

Answer:

Step-by-step explanation:

64 because you subtract 360 by 296