A square placemat has a gold square in the center with a red border around the
square. The side length of the gold square is (x - 2) inches and the width of the
red border is 3 inches. What is the area of the red part of the placemat? The
area of a square is A = w x h. Show your work.

Answer:

52.4

Step-by-step explanation:

I Hope It Helps

Answer:

[tex]111.3\ \text{square units}[/tex]

Step-by-step explanation:

[tex]PQ=20\ \text{units}[/tex]

[tex]PR=12\ \text{units}[/tex]

[tex]\angle QPR=68^{\circ}[/tex]

[tex]\angle PQR=36^{\circ}[/tex]

Area of the triangle is given by

[tex]A=\dfrac{1}{2}\times PQ\times PR\times\sin \angle QPR\\\Rightarrow A=\dfrac{1}{2}\times 20\times 12\times \sin68^{\circ}\\\Rightarrow A=111.26\approx 111.3\ \text{square units}[/tex]

The area of the triangle is [tex]111.3\ \text{square units}[/tex].

Answer:

111.3

Step-by-step explanation:

Answer:

Coordinates of midpoint are (8,1.5).

Step-by-step explanation:

Given coordinates of end points are;

(7,4) and (9,-1)

we can find the coordinates of mid-point,

[tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Here,

x1 = 7 and y1 = 4

x2 = 9 and y2 = -1

Putting these values in formula

Coordinates of mid point = [tex](\frac{7+9}{2},\frac{4+(-1)}{2})\\[/tex]

Midpoint = [tex](\frac{16}{2},\frac{4-1}{2})[/tex]

Midpoint = [tex](\frac{16}{2},\frac{3}{2})[/tex]

Midpoint = 8 , 1.5

Hence,

Coordinates of midpoint are (8,1.5).

Answer:

-2

Step-by-step explanation:

I'm not sure but I think you just need to make them the same

Answer:

$24

Step-by-step explanation:

since 40% is in 100% i did 100 - 40 which i got 60

then it says that he paid $36 so I subtracted 60 - 36 and I got $24 as the answer iihope this helps! :)

100 - 40 = 60

60 - 36 = 24

The original price when he paid $36 for the basketball should be considered as the $24.

Since

Juan bought a basketball for 40% off And, If he paid $36 for the basketball.

So it be like

= 60% of $100 - $36

= $60 - $36

= $24

Hence, The original price when he paid $36 for the basketball should be considered as the $24.

Learn more about price here: https://brainly.com/question/24565996

Answer:

83 and 71

Step-by-step explanation:

One number is twelve less than the other number

Let the one number be x

Let the other number be x - 12

Since one number is 12 , less than the other number, and the total of the two numbers is 154, then, we'll have

x + x - 12 = 154

2x = 154 + 12

2x = 166

x = 83

Therefore, both numbers would be;

First number = x = 83

Second number = x - 12 = 83 - 12 = 71

Answer:

[tex]y = \frac{3}{2} x + 5[/tex]

Step-by-step explanation:

[tex]y = mx + b[/tex]

m = slope

b = y intercept

[tex]y \: = \frac{3}{2} x + 5[/tex]

Answer:

3.0287511e+14

Step-by-step explanation:

13*13*13*13*13*13*13*13*13*13*13*13*13

Answer:

what he said

Step-by-step explanation:

Answer:

Step-by-step explanation:5

Answer:

Growth rate is 17%

2025 value is $76

Step-by-step explanation:

Here, we want to determine the annual growth rate

The general equation form is;

F = l( 1 + r)^n

where F is the future value

I is the initial value

r is the growth rate

n is the numbering years

To get the growth rate, we simply equate what we have in the bracket to 1 + r

Thus;

1 + r = 1.17

r = 1.17-1

r = 0.17

0.17 is same as 17/100 which is same as 17%

Secondly, we want to get the value of the book in 2025

What we have to do here is to substitute (2025-2000) for t which is 25

We have;

V(t) = 1.50(1.17)^25

V(25) = 75.986 which is approximately 76

We will see that the annual growth rate is of 17%, and in the year 2025, the value will be $75.99.

Exponential growth functions:

A general exponential growth can be written as:

f(x) = A*(1 + r)^x

Where A is the initial value and r is the growth rate. Now we can rewrite our function to get:

V(t) = 1.50*(1 + 0.17)^t

Then you can see that the growth rate is 0.17, or 17% in percentage form (to get it just multiply it bt 100%).

To get the value of the comic book in 2025 you just need to evaluate the function in t = 25 (25 years after the 2000).

V(25) = 1.50*(1 + 0.17)^25 = 75.99

So the value in 2025 is $75.99

If you want to learn more about exponential equations, you can read:

https://brainly.com/question/11832081

Answer:

180

Step-by-step explanation:

hope this helps!

Answer:

The coordinates of the midpoint are (5.55,4.655)

Step-by-step explanation:

Midpoint

The midpoint (xm,ym) of a segment defined by points (x1,y1) and (x2,y2) is calculated as follows:

[tex]\displaystyle x_m=\frac{x_1+x_2}{2}[/tex]

[tex]\displaystyle y_m=\frac{y_1+y_2}{2}[/tex]

We are given the points (5.1 , 5.71) and (6 , 3.6). The coordinates of the midpoint are:

[tex]\displaystyle x_m=\frac{5.1+6}{2}=\frac{11.1}{2}=5.55[/tex]

[tex]\displaystyle y_m=\frac{5.71+3.6}{2}=\frac{ 9.31}{2}=4.655[/tex]

The coordinates of the midpoint are (5.55,4.655)

9514 1404 393

Answer:

  C.  168°

Step-by-step explanation:

The exterior angle at any vertex of an n-gon will be ...

  360°/n

So a 30-gon will have exterior angles of ...

  360°/30 = 12°

The adjacent interior angle is supplementary to this, so is ...

  180° -12° = 168°

_____

Using the reasonableness test

You know that the interior angles of a square are 90°, and that regular polygons with more sides have larger interior angles. The most any regular polygon's interior angle can be is 180°. The only answer choice between 90° and 180° is the correct choice: 168°.

The length of the man's shadow produced by the spotlight is 11.4 m.

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

From the diagram using trigonometric ratio:

Also:

Length of shadow = y - x = 21 - 9.6 = 11.4 m

The length of the man's shadow produced by the spotlight is 11.4 m.

Find out more on trigonometric ratio at: https://brainly.com/question/4326804

Answer:

C. The equation has no solution

Step-by-step explanation:

I hope this helps you out!

Answer:

y=-1x+3

y-2=3(x-1)

Step-by-step explanation:

Slope: -1

y-intercept: 3

Answer:

45 or least

Step-by-step explanation:

I'm guessing that the angel is acute

Answer:

50%

Step-by-step explanation:

Answer:

1.) A. 8/9

2.) C. 4/9

3.) B. 7/11

4.) D. 10/3

5.) C. 0.06 (repeating)

Step-by-step explanation:

Answer:

I got 27.5 but I'm not 100%sure

Answer:

39 units

Step-by-step explanation:

Answer: 52

Step-by-step explanation:

KS3 students = 380

KS4 students = 240

KS5 students = 110

Total number of students = 730

Estimated number of KS3 students will be:

= 380/730 × 100.

= 52.06

= 52.

There'll be 52 KS3 students

Answer:

380 KS3 students 240 KS4 students 110 KS5 students pick out 100 from all them combined estimate how many KS3 students there will be

Answer:

0.45

Step-by-step explanation:

Answer:

3x - 4y = -4

Step-by-step explanation:

If you multiply 4 to both sides of the equation, it would be:

4y = 3x + 4

Then, if you put the variables on one side, and the numbers on the other,

3x - 4y = -4

Answer: $899.50

Step-by-step explanation:

Answer:

The answer is C. Hope this helps!

Step-by-step explanation

Answer:

-b

Step-by-step explanation:

because when they say whats the ratio of the rabit you but 12 first then next they say total of animals you add 5 plus 8 which is 13

Answer: 0.73

Step-by-step explanation:

It's really easy when you think about it!

All you have to do is subtract:

$2.30 - $1.57:

0.73

If this is helpful please please please please please mark as the brainliest answer!

Have a good night!

Answer:

16

Step-by-step explanation:

If X is the centroid that means that EC is a median along with the other lines that intersect inside the triangle. Medians drawn from a triangle have a special rule; this rule is that all medians have a 2:1 ratio between the different sections of one median. For example, EC is one median with the two sections XC and EX. Therefore XC and EX have a 2:1, with the 2 representing the longer section closest to the vertex. This means that XC is double EX, so to find XC simply double EX measurement, which is 8. So XC must equal 16.

Answer: 30%

Step-by-step explanation:

There are 200 songs in total.

Out of these 200, there are 60 Rock songs.

The percentage of Rock is therefore:

= Rock / Total songs * 100%

= 60/200 * 100%

= 30%