The perimeter of a rectangular painting is 270 cm.
If the length of the painting is 82 cm, what is its width?
Width of the painting: []

Step-by-step explanation:

Let x=one side of the square; y=one side of the rectangle:

The perimeters are equal, so 4x=2y+22, or y=2x-11. The areas are given by x^2, and 11(2x-11). Since the square is 4 cm^2 larger than the rectangle, we get:

x^2-4=11(2x-11)

x^2-4=22x-121

x^2-22x+117=0

(x-13)(x-9)=0

x=13, or 9

Plugging 13 into our original equation, we get a square 13X13 or 169cm^2, and a rectangle (26-11)X 11, or 165cm^2, which satisfies our requirements!!!!!!

Answer:

To find your answer you would subtract $6.50 and $2.85 from $14.85

you would get $5.50 so that is how much she spent on a round trip ticket to the zoo.

Step-by-step explanation:

Answer:

Option (3)

Step-by-step explanation:

"If two triangles are similar, their corresponding sides are proportional."

We will check each proportionality ratio given in the options for the given property,

Option (1),

[tex]\frac{QB}{DM}=\frac{DF}{QL}=\frac{LB}{MF}[/tex]

[tex]\frac{3.5}{2}=\frac{5}{8.75}=\frac{10.5}{6}[/tex]

[tex]\frac{7}{4}=\frac{4}{7}=\frac{7}{4}[/tex]

But [tex]\frac{7}{4}\neq \frac{4}{7}[/tex].

Therefore, this option is not the answer.

Option (2),

[tex]\frac{FM}{LB}=\frac{BQ}{MD}=\frac{QL}{DF}[/tex]

[tex]\frac{6}{10.5}=\frac{3.5}{2}=\frac{8.75}{5}[/tex]

[tex]\frac{4}{7}=\frac{7}{4}=\frac{7}{4}[/tex]

But [tex]\frac{4}{7}\neq \frac{7}{4}[/tex],

Therefore, this option is not the option.

Option (3),

[tex]\frac{BQ}{MD}=\frac{QL}{DF}=\frac{BL}{MF}[/tex]

[tex]\frac{3.5}{2}=\frac{8.75}{5}=\frac{10.5}{6}[/tex]

[tex]\frac{7}{4}=\frac{7}{4}=\frac{7}{4}[/tex]

Therefore, this option is the answer.

Option (4),

[tex]\frac{6}{10.5}=\frac{2}{3.5}=\frac{5}{10.5}[/tex]

[tex]\frac{4}{7}=\frac{4}{7}=\frac{10}{21}[/tex]

But, [tex]\frac{4}{7}\neq \frac{10}{21}[/tex]

Therefore, this is not the correct option.

Answer:

Step-by-step explanation:

yes

Answer:

9005.90 m

Step-by-step explanation:

The radius of the collider is half the diameter or 2150 m. The arc length S subtended by the angle is given by

S = r×(theta) where theta is the angle in radians. We need to convert the degree angle into radian angle using the following:

240° × (2pi/360°) = 4.19 radians

Therefore, the distance traveled by the atoms is so equal to the arc length S so

S = (2150 m)×(4.19 rad) = 9005.90 m

Answer:

63 inches

Step-by-step explanation:

Brennan is wrapping a birthday present for his sister. He starts with 2 yards of ribbon.

Step 1

We convert from yards to inches

1 yard = 36 inches

2 yards = x

Cross Multiply

x = 2 × 36 inches

x = 72 inches

Step 2

Then, he cuts off 9 inches to decorate the present.

The number of inches of ribbon he has left now is calculated as:

72 inches - 9 inches

= 63 inches

Therefore, he has 63 inches of ribbon left

Answer:

a+b

Step-by-step explanation:

or any letter as long as it has the plus sign

The required expression for the given property is 8(9 + 3).

The distributive property for the product of a sum of numbers to other numbers states that it is equivalent to the sum of individual products. It can be written as a(b + c) = ab + ac.

The given expression is 72 + 24

In distributive form it can be written as,

GCF of 72 and 24 is 8.

Then, 72 = 8 × 9 and 24 = 8 × 3

Now, the given expression can be rewritten as below,

8 × 9 + 8 × 3

Take 8 as common to get,

8(9 + 3)

Hence, the expression that represents the distributive property is 8(9 + 3).

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Answer:

126 degrees

Step-by-step explanation:

Answer:

7y=4y +9(corresponding sides of congruent triangle)

or,7y-4y=9

or, 3y=9

or,y=9/3

so,y=3

now

ST=7y=7×3=21

again

TU=4y+9=4×3+9=21

hope this will help you more

Answer:

y=-7

Step-by-step explanation:

Answer:

8y=-56

Step-by-step explanation:

Subtract 15y-2y

after you get 13y subtract 5y which is 8y

afterwards subtract -29-27 which is addition and you get -56

y=-7

Answer: i think B

Step-by-step explanation:

88(4/11)-88(1/11)

Answer:

It is y=2x+4.

Step-by-step explanation:

Alright, so with this question, the slope and y-intercept is needed. First, lets get the y-intercept.

The y-intercept value would be 4 as this is the y value for where the line crosses over this intercept, being the coordinate (0,4).

Next, with the slope, look at where the line crosses over when the x value is 1, the y value is 6, (1, 6).

From this, we can find the slope. What is the climb/fall in the line after moving forward an x value forward? It is going up 2 y values, from 4 to 6. Therefore, the slope is 2.

With this, we can plug in the parts we need to get the final answer:

y = (2 Slope) x + (4 Y-Intercept)

y=2x+4

Answer:

[tex]y=2x+4[/tex]

Step-by-step explanation:

Written in the form [tex]y=mx+c[/tex]

The constant c is where the line intercepts the y-axis.

From the graph we can determine that c is equal to 4.

m is the slope of the line. To find it we can do [tex]\frac{dy}{dx}[/tex] where dy is the difference in y-coordinates between two points and dx is the difference between the x-coordinates.

From the graph we can pick out 2 points that lie on the line:

Point 1 (0,4)

Point 2 (1,6)

So the slope is [tex]\frac{4-6}{0-1} =\frac{-2}{-1}=2[/tex]

Now let's rewrite it in the form [tex]y=mx+c[/tex].

[tex]y=2x+4[/tex]

Answer: Number of hardback = 32

Number of paperback = 117

Step-by-step explanation:

Let the number of hardback books be represented by x.

Let the number of paperback books be represented by y.

Based on the information given, we can form an equation which will be:

x + y = 149 ......... i

3.50x + 0.75y = 199.75 ...... ii

Multiply equation i by 3.50

Multiply equation ii by 1

3.50x + 3.50y = 521.50 ...... iii

3.50x + 0.75y = 199.75 .....iv

Subtract equation iv from iii

2.75y = 321.75

y = 321.75 / 2.75

y = 117

Number of paperback = 117

Since x + y = 149

x = 149 - y

x = 149 - 117

x = 32

Number of hardback = 32

Answer:

B- 110

Step-by-step explanation:

If that curve is 110 then the angle is as well.

The domain and the corresponding functions are:

The domain of a function is the set of input values the function can take. This means that the domain is the x values of a function

Using the above definition of domain, the domain and the corresponding functions are:

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Answer:

Triangles ABC and ADC are congruent because they all have the same angles. AC bisects angle A which means that both triangles have the same angle measurement. C is a 180 degree angle and is bisected, meaning that both angles created are 90 degree angles and thus the same degree measurement.

Another reason why they are congruent is because the sides are equal. AB and AD are the same length because the picture shows a singular line on both sides meaning they are the same. The height of both triangles are the same because they share a height. BC and CD are the same length because AC is bisecting BD, meaning both sides are equal in length. Thus, both triangles have the same side measurements.

Answer:

yes it's all correct good luck

Answer:

7/10 or 70% or 0.7

Step-by-step explanation:

4 black, 10 red

10+4=14

now you put it over the total marbles

14/20=7/10

i don't know how your teacher wants you to give the answer but it is 7/10 or 0.7 or 70%

Answer:

Opps i am really sorry i donot know it

Answer:

Step-by-step explanation:

It's 5 units

Answer:

$4.5

Step-by-step explanation:

Let the amount of money

Maria had = x

Nick had = y

All together Maria and Nick had $12.

= x + y = 12

x = 12 - y

After Maria spent 30% of her money and Nick spent 50 % of his money, Maria and Nick were left with the same amount.

30% of x = 50% of y

30/100 × x = 50/100 × y

0.3x = 0.5y

We substitute 12 - y for x above

0.3(12 - y) = 0.5y

3.6 - 0.3y = 0.5y

3.6 = 0.5y + 0.3y

3.6 = 0.8y

y = 3.6/0.8

y = $4.5

Therefore, in the beginning, Nick originally had $4.5

Answer:

5000 pounds

Step-by-step explanation:

2.5 x 2000 pounds in a ton

5000 pounds

Answer:

immma send you the link friend me on here

Step-by-step explanation:

Answer: kung ano ang dapat tandaan ay na kailangan mong makuha ang bawat detalye at gawin ang mga bagay na mabagal upang hindi ka makaligtaan anything. Pinaka utok pls

Step-by-step explanation:

Answer:

circumference = 31 inches

Step-by-step explanation:

using the Pythagorean theorem:

diameter² = 8² + 6² = 100

diameter = √100 = 10

circumference = 10 x 3.14 = 31.4 inches

Answer:

1/20 x 595

Step-by-step explanation:

1/20 is the lowest fraction in this situation so lower fractions and multiplying whole numbers will be lower than 1/2

Answer:

C

Step-by-step explanation:

Answer:

is C

Step-by-step explanation:

A pex i took the test

give brainlist if feeling nice

Answer:

295 ft is the area of this shape

Given:

The polynomial is:

[tex]4p^3+2p^2+19p-5[/tex]

To find:

The degree and number of terms.

Solution:

Degree of a polynomial: It is the highest power of the variable.

Terms: Numbers, variables and product of them are called terms and they are separated by positive sign "+".

We have,

[tex]4p^3+2p^2+19p-5[/tex]

In this polynomial, the variable is p and its highest power is 3. So, the degree of this polynomial is 3.

The given polynomial can be written as:

[tex]4p^3+2p^2+19p+(-5)[/tex]

So, the terms in the given polynomial are [tex]4p^3,2p^2,19p,-5[/tex].

Therefore, the degree of the given polynomial is 3 and the number of terms is 4.

The classification by degree and number of terms of degree 3 and 4 terms

Given the polynomial function 4p^3 + 2p^2 + 19p - 5, we are to classify the expression by degree and number of terms.

In conclusion, the classification by degree and number of terms of degree 3 and 4 terms

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