I will give 20 points

[tex]\text{Let the side of square 1, square 2 and square 3 be x, y and z respectively.}\\\\\text{Given that,}\\\\\text{Perimeter of square 1,~~ p =100 units.}\\\\\text{So}~ x=\dfrac p 4 = \dfrac{100}4 =25~\text{units.}\\\\\\\text{Area of square 2, a = 225 units}^2\\\\\text{So}~y = \sqrt{a} = \sqrt {225} = 15~ \text{units.}\\\\\text{Use Pythagorean theorem to find z}^2\\\\x^2 =y^2 +z^2 \\\\\implies 25^2 = 15^2 +z^2\\\\\implies z^2 = 625 - 225 = 400\\\\\\[/tex]

[tex]\text{Hence the area of square 3 is 400 units}^2.[/tex]

Answer:

  400 square units

Step-by-step explanation:

The side length of square 1 is 1/4 of its perimeter, so is 100/4 = 25 units. The area of square 1 is the square of the side length, so is 25² = 625 square units.

The area of square 3 is the difference in the areas of squares 1 and 2. This is due to the Pythagorean theorem.

  area 3 = area 1 - area 2

  area 3 = 625 -225

  area 3 = 400 . . . . square units

[tex]\rule{300}{3}[/tex]

[tex]\text{Hi!}[/tex]

To find the cost per item (or in your case "rolls"), you will first have to divide the cost of the lunch rolls  [tex](2.50)[/tex]  by the amount of lunch rolls there are [tex](5)[/tex].

So in this case, it would look like

[tex] \textbf{$2.50/5} [/tex][tex]\text{$2.50 ÷ 5}[/tex][tex]\text{$2.50 / 5}[/tex][tex]\text{2.50}[/tex] ÷ [tex]\text{5}[/tex]

[tex]\text{=$0.50}[/tex]= [tex]\text{\ 0.50}[/tex]

[tex]\boxed{\$0.50{}}[/tex]

[tex]\rule{300}{3}[/tex]

Answer:

Answer:

0.02a

Step-by-step explanation:

Since 0.02 is equal to 2 cents, he would get 0.02a annually. This is because a represents the income from interest and 0.02 is the amount of money made for interest.

Answer:

Step-by-step explanation:

(9u + w)(9u + w)

f: 9u * 9u = 81 u^2

o: 9u * w

i: 9u* w

l: w * w = w^2

Result

81u^2 + 9uw + 9uw + w^2

81u^2 + 18uw + w^2

Answer:

a₃₂ = - 59

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 3 and d = a₂ - a₁ = 1 - 3 = - 2 , then

[tex]a_{n}[/tex] = 3 - 2(n - 1) = 3 - 2n + 2 = - 2n + 5

Then

a₃₂ = - 2(32) + 5 = - 64 + 5 = - 59

Answer:

g(4) = 8

g(6) = 12

Step-by-step explanation:

come on dude, easier than that?

Answer:

The answer is 1/4!

Step-by-step explanation:

Answer:

See answer below

Step-by-step explanation:

2b(2ab)² - a(2b²)² = XaY³(z - b)

[tex]2b(2ab)(2ab) - a(2b^2)(2b^2) = XaY^3(z-b)[/tex]

[tex]8a^2b^3 - 4ab^4 = XaY^3(z - b)[/tex]

[tex]4ab^3(2a-b) = XaY^3(z - b)[/tex]

X = 4

y = b

z = 2a

Answer:

The domain is x = all real numbers and the range is y >= 0.

Step-by-step explanation:

The domain represents all possible values that x can be for a given equation or graph. Since this is a parabola, it will keep expanding upwards and outwards infinitely, so it will eventually reach every x value on both the positive and negative axis, therefore x is all real numbers (also written as (-INF, INF) in another notation).

The range is similiar to the domain, but it represents all possible y values. The parabola, as I mentioned before, will expand upwards infinitely, so all y values greater than the vertex will be reached. The vertex for this graph is the lowest point of the parabola, so y will have to be greater or equal to it. For this equation, the vertex is (0,0) so y has to be greater than or equal to 0.

Answer:

6x - 18

Step-by-step explanation:

2x - 6 + 4x - 12 = 6x - 18

First, distribute the 4 and then combine the like terms to get 6x - 18.

Answer:

x=-2

Step-by-step explanation: First we can multiply 4 times anything in the parenthesis to get rid of it.

(2x-6)+4(x-3)

(2x-6)+4x-12

Then we combine like terms.

(2x-6)+4x-12

6x-6-12

6x-18

Finally we divide both sides by 6.

6x-18

6x/6-18/6

x=-2

Answer:

Hello. The answer is : rectangle, rhombus

I cant think of a third one as yet.

Answer:

  (a)  The distance from -14 to 0 on a number line. The answer is 14.

Step-by-step explanation:

If you put "-14" in the problem statement in place of the word "number," you will find it substantially matches the wording of answer choice A. |-14| means ...

  The distance from -14 to 0 on a number line. The answer is 14.

Answer:

?

Step-by-step explanation:

Answer: m = -2

Step-by-step explanation: m = slope

Answer:

4th one

Step-by-step explanation:

Answer:

6 minutes per kilometer

Answer:

(2, -9)

Step-by-step explanation:

2 - (-9) > 8      First, substitute the values for x and y.

2 + 9 > 8        

11 > 8              The inequality is true, so (2, -9) is the correct pair.

Answer:

Answer is C

Step-by-step explanation:

basically you substitute (X,Y) in X-Y >0. so X-Y should be greater than 0. also, make sure you use the signs properly.

so in C. 3--10 > 0 so negative sigs cancel each other out so its 3+10 so 13> 0

Answer:

$4.52 is what they'd need to pay.

Step-by-step explanation:

0.25 x 7 = 1.75

7 - 1.75 = 5.25

100 - 14 = 86

0.86 x 5.25

= 4.515 and round to the nearest hundredth

Answer:

About 13 students

Step-by-step explanation:

30*45%=13.5

13.5<14

Answer:

5

Step-by-step explanation:

since 30-60-90 triangles are special right triangles, we know that if the short leg=x, the long leg= xsqrt(3). so the short leg= 5 sqrt(3) /(sqrt(3) = 5

Answer:

  B.  28.5

Step-by-step explanation:

Before you can use the Law of Sines, you need to know the measure of angle C. The sum of angles in a triangle is 180°, so you have ...

  A + B + C = 180°

  C = 180° -A -B = 180° -32° -25° = 123°

The Law of Sines tells you ...

  c/sin(C) = a/sin(A)

  c = sin(C)·a/sin(A) = sin(123°)·18/sin(32°)

  c ≈ 28.5

_____

Additional comment

The law of sines says the ratio of a side length to the sine of the opposite angle is a constant for any given triangle:

  a/sin(A) = b/sin(B) = c/sin(C)

In order to use this relationship, you need to have a side length and its opposite angle. If you're solving for a side length, as here, you need to know the angle opposite that side.

This problem gives you side 'a' and angle A, and it asks for side 'c'. That means you need to know angle C, which we found as part of our solution.

Answer:

velocity

Step-by-step explanation:

The velocity of the object is continually changing.  This velocity is the slope of the tangent line to the curve at a given point on the curve.

The corrected sentence is: When an object moves in a circle, the velocity of the object is continually changing.

Circular motion involves not only changes in the object's orientation or direction but also changes in its velocity.

Velocity includes both the speed of the object's movement and its direction. As an object moves around a circle, even if it maintains a constant speed, its velocity is changing because the direction in which it is moving is always changing.

This change in velocity is what allows the object to maintain its circular path rather than moving in a straight line.

Learn more about Velocity

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Answer:

$8

Step-by-step explanation:

60% of 30 is 16.

1/2 of 16 is 8.

He has $8 left.

i guess is by multiplying 3by the first equation and multiply 2by the second equation

Answer:

D) 16

Step-by-step explanation:

TE=8

TE is half of FE, meaning that FE is equal to double TE.

8x2=16

Hope this helps :)

Answer:

Look at photo

Step-by-step explanation:

Answer:

100 + 100 + 40 + 40 + 40 + 40 = 360 yd^3

Answer:

just open a spreadsheet and put the numbers of students in one line, and the hours worked on another, and select all and create a graph

Step-by-step explanation:

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

The value of x is 11.

The equations with one, zero, or an infinite number of solutions are known as linear equations with two variables. Each of the two variables in these equations has the largest exponent order of 1. A two-variable linear equation has the conventional form axe + by + c = 0, where x and y are the two variables. The answers can also be expressed as ordered pairs, such as (x, y). Two straight lines, which could be intersecting, parallel, or coincident, are included in the graphic representation of the system of linear equations in two variables.

Given equations

5x + 2y =  67

x = 3y - 7

substitute the value of x in equation 1

5(3y - 7) + 2y = 67

15y - 35 + 2y = 67

17y = 67 + 35

17y = 102

y = 6

and x = 3y - 7

x = 3(6) - 7

x = 18 - 7

x = 11

Hence value is 11.

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