Alicia created a portrait that is 10 inches wide by 13 inches long she wants to put it in the frame that is 2 1/4 inches wide on each side.

What is the area of the framed portrait?

24 in.
-2 in.
The inner rectangle is the portrait
and the outer rectangle is the
frame.
10 in.
13 in.
Label the combined length and width of the portrait and the frame.
The area of the framed portraitis
Check
Estimate the product of the length and width of the framed portrait to
determine if your answer is reasonable.

Answer:

? = 9.2

Step-by-step explanation:

The angle between a tangent and radius at the point of contact is 90°

Then the triangle shown is right with legs ? , 6.9 and hypotenuse = (6.9 + 4.2) = 11.5

Using Pythagoras' identity in the right triangle

?² + 6.9² = 11.5²

?² + 47.61 = 132.25 ( subtract 47.61 from both sides )

?² = 84.64 ( take the square root of both sides )

? = [tex]\sqrt{84.64}[/tex] = 9.2

Answer:

Solution given:

BC=BD=6.9 units

AD=4.6units

Now

AB=4.6+6.9=11.5units.

we have

<C=90°[the line from the tangent is perpendicular to the radius of circle]

we know that ∆ABC is a right angled triangle.

hypotenuse [h]=AB=11.5units

base[b]=BC=6.9 units

perpendicular [p]=x units

By using Pythagoras law

h²=p² +b²

11.5²=x²+6.9²

x²=11.5²-6.9²

x²=84.64

x=[tex] \sqrt{86.64} [/tex]=9.2

Sothe segment length indicated is 9.2 units.

Answer:

35.775

Step-by-step explanation:

So, 53 is the amount of ccs that makes a 40% solution.

How can we find the ccs of 27% solution?

Well, we should first find teh amount of ccs per 1%.

To do this, divide 53 by 40:

53/40

=

1.325

Now multiply this by 27 to get the amount of ccs for 27%:

27*1.325

=

35.775

Hope this helps! :)

Answer:

C. 40,25,-16,-2 Celsius

$14.40. And then you have the tax. :D

Have A Great Day.

The cost of 2 dozen pens will be "$14.4".

Given:

Cost of 6 pens,

As we know,

then,

                        = [tex]24[/tex]

Now,

→ The cost of 1 pen will be:

= [tex]\frac{3.60}{6}[/tex]

= [tex]0.6[/tex] ($)

hence,

→ The cost of 24 pens (2 dozen) will be:

= [tex]0.6\times 24[/tex]

= [tex]14.4[/tex] ($)

Thus the above solution is right.

Learn more:

https://brainly.com/question/10771844

the answer is x=1/2+3y/4

Answer:

x:(1/2,0)

y:(0,-2/3)

this is the points in the graphic

Answer:

Step-by-step explanation:

The answer is B; 90°

Option C is the correct transformation to transform ABCD to A'B'C'D'.

Rotation involves moving an object about a fixed point. Each point on the object describes a circular path with the center, the center of rotation.

Translation involves moving an object such that only one of the three cartesian coordinates changes during the transformation.

here, we have,

Rotation

Rotate the square ABCD counterclockwise about the origin. Sides AD and BC of square ABCD will become parallel to the sides A'D' and B'C' respectively of the square A'B'C'D'. The square ABCD is, thus, oriented the same way as the square A'B'C'D'.

Vertical Translation

After the rotation, the side AB is 1 unit above the y-axis, which is the same as that of the square A'B'C'D'. So, the vertical position of the square ABCD is the same as that of the square A'B'C'D'.

Horizontal Translation

The side AD of the square ABCD is 5 units to the left of the x-axis. The side A'D' of the square A'B'C'D' is 8 units to the left of the x-axis. So, translate the square ABCD to the left by 3 units to coincide with the position of A'B'C'D'.

Thus, to obtain A'B'C'D' from ABCD first rotate it by 90° counterclockwise then, translate it to the left by 3 units.

Learn more about the translation and rotation here

brainly.com/question/1046778

#SPJ5

9514 1404 393

Answer:

  (x, y) = (2, 2)

Step-by-step explanation:

We can put the second equation into standard form by dividing by -2.

  x -2y = -2

Adding this to the first equation eliminates x

  (x -2y) +(-x -y) = (-2) +(-4)

  -3y = -6

  y = 2 . . . . . divide by -3

  -x -(2) = -4 . . . . substitute for x in the first equation

  2 = x . . . . . . . . add 4+x

The solution is (x, y) = (2, 2).

The surface area of the right cone in terms of pi is 176π units².

A cone is simply a 3-dimensional geometric shape with a flat base and a curved surface pointed towards the top.

The surface area of a cone is expressed as;

Surface area  = πrl + πr²

Where r is the radius of the base, l is the slant height of the cone and π is constant pi.

From the diagram:

Radius r = 8 units

Slant height h = 14 units

Surface area =?

Plug the given values into the above formula and solve for surface area:

Surface area = πrl + πr²

Surface area = ( π × 8 × 14 ) + ( π × 8² )

Surface area = ( π × 112 ) + ( π × 64 )

Surface area = 112π + 64π

Surface area = 176π units²

Therefore, the surface area is 176π units².

Option A)176π units² is the correct answer.

Learn about volume of cones here: brainly.com/question/1984638

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Finding x,

We will use Pythagoras theorem to determine the value of x:

[tex]9^{2} = {8}^{2} + {x}^{2} \\ 81 = 64 + {x}^{2} \\ 81 - 64 = {x}^{2} \\ {x}^{2} = 17 \\ x = \sqrt{17} [/tex]

Finding y,

We have to determine the angle, at the bottom left of the bigger triangle.

Using sine rule,

[tex] \frac{9}{sin(90)} = \frac{8}{sin(z)} \\ sin(z) = 0.8889 \\ z = {sin}^{ - 1} (0.8889) \\ z = 62.73[/tex]

To find the angle on the smaller triangle,

[tex]a = 90 - 62.73 \\ a = 27.27[/tex]

Finding the missing length of y,

[tex] \frac{ \sqrt{17} }{sin(62.73)} = \frac{m}{sin(27.27)} \\ m = 2[/tex]

So y = 2 + 8, y = 10

Answer:

(- 2, 4 )

Step-by-step explanation:

Given the 2 equations

3x + 5y = 14 → (1)

y = [tex]\frac{1}{2}[/tex] x + 5 → (2)

Substitute y = [tex]\frac{1}{2}[/tex] x + 5 into (1)

3x + 5([tex]\frac{1}{2}[/tex] x + 5) = 14

3x + [tex]\frac{5}{2}[/tex] x + 25 = 14

[tex]\frac{11}{2}[/tex] x + 25 = 14 ( subtract 25 from both sides )

[tex]\frac{11}{2}[/tex] x = - 11 ( multiply both sides by 2 )

11x = - 22 ( divide both sides by 11 )

x = - 2

Substitute x = - 2 into (2) for corresponding value of y

y = [tex]\frac{1}{2}[/tex] × - 2 + 5 = - 1 + 5 = 4

solution is (- 2, 4 )

Answer:

Step-by-step explanation:

Surface area of a cube of side-length 0.5m

= 6(0.5)^2 = 6(0.25) = 1.5 sq.m.

Answer:

100%

Step-by-step explanation:

let , a/b is a fraction

=> a+60% = 1.6 a

and b-20% = 0.8b

so, the new fraction is

(1.6a) /(0.8b) = 2(a/b)

from a/b to 2(a/b) => increase 100%

Answer:

90

Step-by-step explanation:

80% of n = 200

Change to decimal form

.80n = 200

Divide each side by .80

.80n/.80 = 200/.80

n =250

Now find 36% of that number

36% of 250

.36*250

90

Answer:

First column 35

Second column 60

It is 91.6083916% likely that the soil sample contains organic matter

Step-by-step explanation:

700 -655= 35

300 -240= 60

655 +60 = 715

715÷655 = 0.916083916

0.916083916 x 100 = 91.6083916%

Answer:

14mm×20mm=280mm²

14mm×12mm/2=84mm²

3.14×10²mm=314mm²

280m²+84mm²+314mm²=678mm²

Answer:

521mm^2

Step-by-step explanation:

First, separate the shapes.

-Half circle= diameter of 20, radius 10

-Rectangle= 14x20

-Triangle= (32-20)x14= 12x14

Then, calculate

Circle equation= (pi)r^2= (pi)(10)^2= 314.16    -> divide by 2 for half circle= 157.1

Rectangle= 14x20=280

Triangle= (12x14)=168   ->  Divide by two because it's a triangle= 84

Add 157 + 280 + 84 and you get  521

Answer:

389

Step-by-step explanation:

3*118 + 35

[tex]sin = \frac{ \sqrt{17} }{7} [/tex]

Answer:

I believe it’s option c!

Step-by-step explanation:

Correct me if I’m wrong!

Answer: 10

Step-by-step explanation:

Answer:

0.55

Step-by-step explanation:

Given

See attachment for table

Required

[tex]P(x \ge 10)[/tex]

To do this, we consider rows where x is either 10 or greater than 10

i.e. 10, 11 and 12

So:

[tex]P(x \ge 10) = P(10) + P(11) + P(12)[/tex]

Using values from the table, we have:

[tex]P(x \ge 10) = 0.20 + 0.25 + 0.10[/tex]

[tex]P(x \ge 10) = 0.55[/tex]

Answer:

0.31

Step-by-step explanation:

the area of shaded region =

(2×½×8×10) = 80

the total area of fig. =

½×(34+18)×10 = 260

the probability = 80/260 = 0.31

Answer:

x = 6

Step-by-step explanation:

(8/3)x - 16 = 0

Add 16 to both sides

(8/3)x = 16

Multiply both sides by 3/8

x = 16(3/8)

x = 6

Answer:

False.

Step-by-step explanation:

Time-series graph is a graph that relates something to the change of time, then the time is the single variable in this case.

Bar graphs relate a given quantity to a given variable, an example of this can be the population of a given city (represented by the height of each bar) for each different year (which is the single variable in this case)

Pie-chart is a circular graph with defined sections that represent a given proportion. This kind of graph is used to represent percentages, like in the case of a pie chart that describes the number of men and women in a city. (one section of the circle represents the percentage of women and the other section of the circle represents the percentage of men). In this type of graph, there are no variables, so this is not a single variable graph.

Then the statement:

"Examples of graphs of a single variable include pie charts, bar graphs, and time-series graphs."

Is false.

Answer:

x = 2.

Step-by-step explanation:

If its a parallelogram then the diagonal will be bisected so:

4x + 7 = 10x - 5

7 + 5 = 10x - 4x

12 = 6x

x = 2.

Answer:

Each friend gets 1/12

Step-by-step explanation:

1/3 pounds of nuts in total

4 people

1/3 / 4

1/3 * 1/4 = 1/12

Answer:

0.9 = 90% probability that it arrived during the last 30 seconds of the 5-minute period.

Step-by-step explanation:

The car is equally as likely to arrive during each second of the interval, which means that the uniform distribution is used to solve this question.

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distribution has two bounds, a and b, and the probability of finding a value higher than x is given by:

[tex]P(X \geq x) = \frac{b - x}{b - a}[/tex]

5-minute period

This means that [tex]a = 0, b = 5*60 = 300[/tex]

Find the probability that it arrived during the last 30 seconds of the 5-minute period.

300 - 30 = 270. So

[tex]P(X \geq 270) = \frac{300 - 270}{300 - 0} = 0.9[/tex]

0.9 = 90% probability that it arrived during the last 30 seconds of the 5-minute period.

Answer:

20cm Squared

Step-by-step explanation:

Area of a Triangle = Base X Hight divided by 2

= 5 X 8 Divided by 2

= 40 Divided by 2

= 20cm Squared

Answer:

I'd recommended saying B, but they are asking YOU! Not us, so please answer this truthfully.

Answer:

y = 5.66388 feet, (round that to whatever you need to round to)

Step-by-step explanation:

cos (51) = y/9

cos(51)*9=

y = 5.66388 feet

Answer:

i would say A

Step-by-step explanation: