Question 3 options: lily is building a picture frame. the larger rectangle represents the frame. the smaller rectangle represents the picture. the shaded area represents the 2-inch border around the picture. what is the area of the border, or the shaded region, of this figure in square inches?

Answers

Answer 1

The area of the shaded region of this figure which can be calculated by the difference of the larger region from the smaller region would be 104 in.²

What is the area of the rectangle?

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

Area of a larger rectangle

= Length × Width

= 18 × 12

= 216 in.²

Area of the smaller rectangle

Length = 12 - 2 - 2 = 8 in.

Width = 18 - 2 - 2 = 14 in.

= Length × Width

= 8 × 14

= 112 in.²

Area of the shaded region = Area of a larger rectangle - Area of the smaller rectangle

= 216 - 112

= 104 in.²

Hence, the area of the shaded region of this figure is 104 in.²

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Related Questions

help!
this is urgent
i need it rn
ty in advance

Answers

Answer:

The graph shows a steady declining plot as the aveage traffic volume increases. Since y axis is speed the correct answer is that as traffic volume increases the average vehicle speed decreases.

Step-by-step explanation:

4. If you are moving a 25 N weight, over a distance of 2.5 meters, how much work is being
done?

Answers

Answer:

62.5 J

Step-by-step explanation:

Formula

Work = Force x Distance (Displacement)

Given :

Force = 25 NDistance = 2.5 m

Solving

Work = 25 x 2.5Work = 62.5 J

The work done with the given force and distance is 62.5 Newton meter.

What is time and work?

The basic concept of Time and Work is similar to that across all Arithmetic topics, i.e. the concept of Proportionality. Efficiency is inversely proportional to the Time taken when the amount of work done is constant.

Given that, force = 25 N weight and distance = 2.5 meters

We know that, work = Force×Distance

Here, work = 25×2.5

= 62.5 Newton meter

Therefore, the work done is 62.5 Newton meter.

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The cost to mail a package is $8 for the first 4 pounds and 25 cents for each additional ounce. Which of the following functions represents the cost to mail a package if x is the number of ounces over 4 pounds?
f( x) = 32 + 0.25 x
f( x) = 0.25( x + 4)
f( x) = 0.25+ 8 x
f( x) = 8 + 0.25 x

Answers

Answer:

f(x) = 8 + 0.25x

Step-by-step explanation:

The minimum cost is $8, for up to 4 pounds.

The added cost is ($0.25/oz)(x), where x is trhe ounces over 4 pounds

The total cost is the sum of these two:

f(x) = 8 + 0.25x

I think of a number . If I subtract six from it and multiply the difference by 4 the result is 36. Evaluate the number that I thought of.

Answers

Answer:

15

Step-by-step explanation:

First we can make an equation by replacing the unknown number with x :

First step of problem:

x-6

Second part of problem:

4(x-6)

Third part of the problem:

4(x-6)=36

First we can expand the bracket to give us:

4x-24=36

Now we add 24 to both sides:

4x = 60

Now we divide both sides by 4 for our final answer of

x= 15

To check this answer we can put it back into the problem:

4(15-6)=36

4(9)=36

Therefore our answer that was thought was 15.

Please help, will give 15 points!!!
A standard number cube is tossed. Find each probability.

P(even or less than 4)

Answers

Answer:

total 6

even 2, 4, 6

even or less than 4: 2, 4

p = 2/6 = 1/3

brainliest?

Translate this phrase into an algebraic expression.
50 less than twice a number
Use the variable n to represent the unknown number.

Answers

Answer:

2n - 50

n the unknown number

twice  = 2n

50 less than it = 2n - 50

Step-by-step explanation:

Consider the quadratic equation x3 = 48-5. How many solutions does the equation have?

Answers

Answer:

 you would  have 84-.10 I think

Step-by-step explanation:

Im pretty sure there are 2 solutions

What is the gradient of the blue line

Answers

Answer:

2

Step-by-step explanation:

The graient is 2 as gradient = diffrence of y/diffrence in x

x,y

take two points 1,0 and 2,2 and put them into the equation

2-0/2-1 = 2

Answer:

slope = 2

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 0) and (x₂, y₂ ) = (6, 10) ← 2 points on the line

m = [tex]\frac{10-0}{6-1}[/tex] = [tex]\frac{10}{5}[/tex] = 2

Please help pleeaassee!! >_<.

Answers

Answer:

Slope intercept form does not dictate whether or not a function is linear. What determines if a function is linear is if there is one independent variable, one dependent variable, and it makes a STRAIGHT line. This function is linear because there are only 2 variables and a horizontal line.

Levi could have determined that the graph was linear by checking the conditions stated above or graphing it out. Then, he would see that y = 2 is a straight horizontal line with an independent and dependent variable.

Hope this helps!

Help please… thank you!

Answers

Answer:

B

Step-by-step explanation:

5 × pi ÷12 = 75 degrees

this is essentially cos75

= cos(30 + 45)

then we use the identities to solve.

the answer will = to 0.2588

Which of the following is true about quantitative research? Group of answer choices It offers conclusions that are always correct. It is always conducted using primary data collection. It includes focus group interviews. It revises the research objective based on data mining. It confirms insights and hypotheses generated via qualitative research.

Answers

it confirms insights and hypothesis generated via qualitative research

please help!! no bots!!

Find the area of this figure.
Round your answer to the
nearest hundredth. Use
3.14 to approximate TT.
A = [?] ft²

Answers

[tex]\bold{ANSWER:}[/tex]
A = 26.14 ft^2

[tex]\bold{EXPLANATIONS:}[/tex]

Find the length of the segment indicated. Round your answer to the nearest tenth. Please and thank you so very much!!!

Answers

Answer:

14.7

Step-by-step explanation:

The given horizontal line is in the center of the circle (indicated by the black dot in the middle), so you can divide 17.5 by 2 in order to find the length of the leftmost segment of the triangle (8.75).

To solve for x, we use the pythagorean theorem as this is a right triangle:

[tex]a^{2} + b^{2} = c^{2}[/tex]

[tex]11.8^{2} + 8.75^{2} = x^{2}\\139.24 + 76.5625 = x^{2}\\215.8025 = x^{2}\\x = 14.6902178...[/tex]

This is 14.7 when rounded to the nearest tenth

can someone help with this??

Answers

Answer:

1 is 13480851.0638

2 is 20438709.6774

3 is 5812844.0367

Step-by-step explanation:

Proving circles are similar: Choose any of the transformations that would be a step in proving that Circle A is similar to Circle C. Select ALL that apply.



A.
Reflect A over the line y=x

B.
Translate C (x+5,y-4)

C.
Dilate A by 3/2

D.
Dilate C by 3/2

E.
Translate A by (x-5, y+4)

Answers

The transformations that would prove that circles A and C are similar are:

A. Reflect A over the line y=xC. Dilate A by 3/2

How to prove that circle A and circle C are similar?

The circles are given as:

Circle A and B

Assume the following parameters:

The center of circle A is (2,3) with a radius of 2The center of circle B is (3,2) with a radius of 3

To start with;

The circle A must be reflected across the line y = x with the following transformation rule:

(x,y) -> (y,x)

So, we have:

(2,3) -> (3,2)

Next, the radius of A must be dilated by 3/2 as follows:

New Radius = 3/2 * 2 = 3

After the transformations, we have the following parameters:

The center of circle A is (3,2) with a radius of 3The center of circle B is (3,2) with a radius of 3

Notice that both circles now have the same center and radius.

Hence, both circles are similar

Read more about similar circles at:

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Solve for x. Please help and please show work, thanks!

Answers

Answer: 5

Step-by-step explanation:

      We can use ratios / proportions to solve for x. I am going to have the shorter segment on the top of our fractions (the numerator), and the longer segments on the bottom (the denominator).

[tex]\frac{10}{10+12} =\frac{4x-5}{33}[/tex]

[tex]\frac{10}{22} =\frac{4x-5}{33}[/tex]

      Now I am going to cross multiply:

10 * 33 = 22(4x - 5)

330 = 88x - 110

440 = 88x

5  = x

x = 5

Mike argues the following side lengths can make a triangle. Sam says he is incorrect. Who is correct and why? 3m, 5m, 10m

Answers

Answer:

Sam is correct

Step-by-step explanation:

The third side is the one with greatest length. To make a triangle the other two lengths have to be greater than the greatest one when combined.

Hope this Helps.

Answer:

Mike is correct

Step-by-step explanation:

because it has three different side

can someone please help me with this

Answers

Answer:

(D) 29.3

Step-by-step explanation:

The answer is all the days added together and then divided by 10.

20+30+40+38+25+22+39+22+26+31=293.

293/10=29.3

Word problem. Help!! Will give brainlist

Answers

Answer:

133 degrees

Step-by-step explanation:

Supplementary angles equal 180.

the 1st angle is 180, so we do:
180-47
the answer is 133

What is 2 7/10+4 1/10 in simplest form

Answers

Answer:

[tex]6\frac{4}{5}[/tex]

Step-by-step explanation:

[tex]2\frac{7}{10}[/tex] + [tex]4\frac{1}{10}[/tex] = ( 2 + 4 ) + ( [tex]\frac{7}{10}[/tex] + [tex]\frac{1}{10}[/tex] ) = 6 [tex]\frac{7+1}{10}[/tex] = 6 [tex]\frac{8}{10}[/tex] = [tex]6\frac{4}{5}[/tex]

2x squared + 13x - 24 =0

Answers

Answer:  (2x - 3)(x + 8)

Step-by-step explanation:

2x² + 13x - 24 = 0, where is equal ax² + bx + c = 0 form. We get a = 2, b = 13, c = -24.

When a is not equal to 1, we multiply a and c. ac = 2(-24) = -48.

b in the equations means that the sum of two factor of ac is equal to 13. Then we need to find which two factor is add up to 13. In this case, we get -3 and 16.

2x² + 13x - 24 = 0

2x² + 16x - 3x - 24 = 0

2x(x + 8) - 3(x + 8) = 0

(2x - 3)(x + 8) = 0

Answer: x = -8, x = [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

       This is a quadratic equation since it is in ax² + bx + c = 0 form! We will use the formula and use PEMDAS, the order of operations, while solving as well.

       The quadradic formula, then plugging in to solve:

(please note before the square root is a ± sign. Brainly text editor will not allow me to add it)

[tex]x = \frac{-b\sqrt{b^{2} -4ac } }{2a}[/tex]

[tex]x = \frac{-13\sqrt{13^{2} -4(2)(-24) } }{2(2)}[/tex]

[tex]x = \frac{-13\sqrt{169 -4(2)(-24) } }{4}[/tex]

[tex]x = \frac{-13\sqrt{169 +192 } }{4}[/tex]

[tex]x = \frac{-13\sqrt{361 } }{4}[/tex]

Now it breaks into two parts:

[tex]x = \frac{-13-19}{4}[/tex]       and       [tex]x = \frac{-13+19}{4}[/tex]

[tex]x = \frac{-32 }{4}[/tex]                  [tex]x = \frac{6}{4}[/tex]

x = -8, x = [tex]\frac{3}{2}[/tex]

The pilot of a small plane is flying at an altitude of 2000 ft- The pilor plans to start the final descent toward a runway when the horizontal distance between the plane and the runway is ? mi. To the nearest degree what will be the angle of depression 19 from the plane to the runw'y at this point?​

Answers

Using the slope concept, supposing the horizontal distance is of 1500 feet, the angle of depression will be of 37º.

What is a slope?

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem, we suppose an horizontal distance of 1500 feet, with a vertical distance of 2000 feet, hence:

[tex]\tan{\alpha} = \frac{1500}{2000}[/tex]

[tex]\alpha = \tan^{-1}{\left(\frac{1500}{2000}\right)}[/tex]

[tex]\alpha = 37^\circ[/tex]

The angle of depression will be of 37º.

More can be learned about the slope concept at https://brainly.com/question/18090623

helpppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Split it into two shapes

2x6x4= 48

3x2x5= 30

30+48= 78

By dividing it into two shapes you were able to find the individual area and when u added them together you got the total area


Please give brainliest

q . (a + y) = 67y + 93

Answers

if we are solving for why you would get an answer of
y= -93-a/66

please help its 5 questions also can u let me know if u can help me with the other ones

Answers

Answer:

[tex]1.76[/tex] days

Step-by-step explanation:

**Note this propably is not what you are looking for but it gets you the final answer.**

Given the eqaution [tex]y=9^{5x}[/tex]

Lets solve for x.

Step 1.

Rewirte the equation as [tex]y=a^{bx}[/tex]. Where [tex]a=9[/tex]  and [tex]b=5[/tex].

Step 2.

Take the natural logarithm of both sides. Then rewrite the left hand side using properties of exponents/logarithms.

[tex]ln(y)=b*x*ln(a)[/tex]

Step 3.

Divide both sides of the equation by [tex]b[/tex]

[tex]\frac{ln(y)}{b} =x*ln(a)[/tex]

Step 4.

Divide both sides of the equation by [tex]ln(a)[/tex]

[tex]\frac{ln(y)}{b*ln(a)} =x[/tex]

Now we have our equation to solve for the number of days.

Step 5.

Plug [tex]9[/tex] back in for [tex]a[/tex]  and [tex]5[/tex] back in for [tex]b[/tex].

[tex]\frac{ln(y)}{5*ln(9)} =x[/tex]

Step 6.

We are given 243 million for [tex]y[/tex].

Lets plug in 243 million.

[tex]\frac{ln(243,000,000)}{5*ln(9)} =x[/tex]

Step 7.

Solve for x.

[tex]x=1.7575419...[/tex]

Lets round to the hundreth's place.

[tex]x=1.76[/tex]

1.76 days

SOMEONE HELP PLEASE! I HATE ANGLES ​

Answers

Answer:

a = 51°

b = 67°

Step-by-step explanation:

Angle a is equal to 51 since it is vertically opposite to the angle on top of it.

Angles in a triangle add up to 180 so Angles a,b and 62 should add up to 180:

a+b+62=180

51+b+62=180

b= 180-(51+62)

b= 180-113

b= 67

Which of the following numbers CANNOT represent the probability of an event?

A. -0.5
B. 1
C. 0
D. 0.675

Answers

Answer : -0.5
Explanation: because it is a negative number and is less than 0 so it can’t be a probability for an event

-0.5 cannot represent the probability of an event.

Correct option is (A).

What is Probability?

This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. Arithmetic uses probability to predict how probable certain events are to occur. Probability generally refers to the degree to which something is likely to occur.

As per the given data:

We have to find out that, which of the following numbers CANNOT represent the probability of an event.

Probability of an event = [tex]\frac{Favorable \: Events}{Total \: Number \: of \: Events}[/tex]

Favorable events or total number of events can never be negative, hence the probability of any event cannot be negative.

So from the above reasoning we can say that -0.5 cannot represent the probability of an event.

Hence, -0.5 cannot represent the probability of an event.

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3 1/4 - 1 3/5 | please help !!

Answers

Answer:

Step-by-step explanation:

Step: 1: Convert mixed fraction to improepr fraction.

Step: 2 : Find the LCM of 4 , 5 = 20

Step 3: Find equivalent fractions with denominator as 20

Step 4: Now subtract.

[tex]3\dfrac{1}{4}-1\dfrac{3}{5}=\dfrac{13}{4}-\dfrac{8}{5}[/tex]

             [tex]\sf = \dfrac{13*5}{4*5}-\dfrac{8*4}{5*4}\\\\\\ = \dfrac{65}{20}-\dfrac{32}{20}\\\\\\ = \dfrac{65-32}{20}\\\\\\ = \dfrac{33}{20}\\\\ \\ = 1 \dfrac{13}{20}[/tex]

Please help with my homework. I will give a brainlist out. Only solve 27 please.

Answers

Answer: 5 ft

Step-by-step explanation: A = bh h = A/b 85/17 = 5

Is -6,-3 a solution to 2x-9y=15

Answers

Answer:  Yes

Step-by-step explanation:

Assuming that (-6, -3) is a coordinate, you just plug in the x and y values. When doing this you multiply 2 * - 6 and add that to -9 * -3This gives you -12 + 27 = 15This gives you 15 = 1515 is equal to 15 therefore, this is a solution to the problem.

I hope this makes sense!  : )

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