Bella is wrapping a cube-shaped gift box that measures 8.5 inches along each edge. How many square inches of wrapping paper is needed to cover the box completely without overlapping? A. 34 in.2 B. 72.25 in.2 C. 433.5 in.2 D. 614.125 in.2

the two lines are parallel, the angle they make should be equal and one angle is common so the triangles are similar by AAA.

Now the ratio of sides are [tex] \frac{20+8}{20}=\frac{x+18}{x}[/tex]

use divideno, [tex]\frac8{20}=\frac{18}x[/tex]

and then inverse the whole equation to get [tex]x=20\times\frac{18}{8} \implies x= 45[/tex]

Answer:

[tex]\Large \boxed{\mathrm{B) \ 45}}[/tex]

Step-by-step explanation:

We can solve the problem using ratios.

[tex]\displaystyle \frac{x}{20} =\frac{x+18}{20+8}[/tex]

Cross multiply.

[tex]20(x+18)=x(20+8)[/tex]

Expand brackets.

[tex]20x+360=28x[/tex]

Subtract 20x from both sides.

[tex]360=8x[/tex]

Divide both sides by 8.

[tex]45=x[/tex]

Answer:

x = 5

Step-by-step explanation:

Notice that there is also a base 5 on the right hand side of the equation, therefore, let's move [tex]5^{x-4}[/tex] to the right by dividing both sides by it. and then re-writing the right hand side as 5 to a power:

[tex]2^{x-5}\,*\,5^{x-4}=5\\2^{x-5}=5/5^{x-4}\\2^{x-5}=5\,*\,5^{4-x}\\2^{x-5}=5^{5-x}[/tex]

Now apply log to both sides in order to lower the exponents (where the unknown resides):

[tex](x-5)\,log(2)=(5-x)\,log(5)[/tex]

Notice that when x = 5, this equation is true because it makes it the identity: 0 = 0

So, let's now examine what would be the solution of x is different from 5, and we can divide by (x - 5) both sides of the equation:

[tex]log(2)=\frac{5-x}{x-5} \,log(5)\\log(2)=-1\,\,log(5)\\log(2)=-log(5)[/tex]

which is an absurd because log(2) is [tex]\neq[/tex] from log(5)

Therefore our only solution is x=5

Answer:

if decimal  no solution

if multiply x =5

Step-by-step explanation:

If this is a decimal point

2^(x-5) . 5^(x-4) = 5

Rewriting .5 as 2 ^-1

2^(x-5)  2 ^ -1 ^(x-4) = 5

We know that a^ b^c = a^( b*c)

2^(x-5)  2 ^(-1*(x-4)) = 5

2^(x-5)  2 ^(-x+4) = 5

We know a^ b * a^ c = a^ ( b+c)

2^(x-5 +-x+4) = 5

2^(-1) = 5

This is not true so there is no solution

If it is multiply

2^(x-5)  * 5 ^(x-4) = 5

Divide each side by 5

2^(x-5)  * 5 ^(x-4) * 5^-1 = 5/5

We know that a^ b * a^c = a^ ( b+c)

2^(x-5)  * 5 ^(x-4 -1)  = 1

2^(x-5)  * 5 ^(x-5)  = 1

The exponents are the same, so we can multiply the bases

a^b * c*b = (ac) ^b

(2*5) ^ (x-5) = 1

10^ (x-5) = 1

We know that 1 = 10^0

10^ (x-5) = 10 ^0

The bases are the same so the exponents are the same

x-5 = 0

x=5

Answer:

zeros -1,3  and the factors ( x+1) (x-3)

Step-by-step explanation:

The zeros are where it crosses the x axis

It crosses at x=-1 and x=3

So the factors are ( x- -1) and ( x-3)

                                ( x+1) (x-3)

Answer:

[tex]\boxed{x = -1, \ x = 3 \ \ ( x+1) (x-3)}[/tex]

Step-by-step explanation:

Zeros of the function:

The zeros of a function is when the y value is 0 or where the function crosses the x-axis.

The function crosses the x-axis at x = -1 and x = 3.

Factors of the function:

[tex]y=x^2 - 2x- 3[/tex]

Factor the right side.

[tex]y=x^2 +1x-3x- 3[/tex]

[tex]y=x(x +1) -3(x+1)[/tex]

Take (x + 1) common.

[tex]y=(x+1)(x-3)[/tex]

The factors are (x + 1) and (x - 3).

Answer:

31/16

or

1 15/16

Step-by-step explanation:

1/8 = 2/16

1/4 = 4/16

1/2 = 8/16

1 = 16/16

then:

1 + 1/2 + 1/4 + 1/8 + 1/16

= 16/16 + 8/16 + 4/16 + 2/16 + 1/16

=(16+8+4+2+1)/16

= 31/16

31/16 = 16/16 + 15/16 = 1 + 15/16 = 1 15/16

Answer:

so you multiply the 13 by 12. Then divid 12 by 2 to get 6 as the radius then use a calculator and type in 2(PIE SYMBOL) R. R=radius then whatever number you get cut it in half then subtract it from 13x12.

ABC is a equilateral triangle .

Proof :-

Let's assume both circles as C1 and C2 [ as shown in the figure ]

AC is the radius of circle C1.

BC is the radius of circle C2 .

AB and AC both are radius of circle C1 so both are equal ie AB = AC .

AB and BC both are radius of circle C 2 so both are equal ie AB = BC .

Hence we conclude that .

AB = BC = AC.

So the triangle is equilateral triangle.

Greetings from Brasil...

In a triangle the sum of the internal angles is 180 °.... Thus,

Ô = 180 - 30

Ô = 60

The desired area is the area of the rectangle triangle, minus the area of the circular sector whose angle 60

A1 = area of the rectangle triangle

TG B = OA/AB

AB = OA / TG B

AB = 6 / TG 30

AB = 6√3

A1 = (AB . OA)/2

A1 = (6√3 . 6)/2

A2 = area of the circular sector

(rule of 3)

 º                       area

360    ------------   πR²

60     ------------    X

X = 60πR²/360

X = 6π

So,

Then the area shaded is:

A = A1 - A2

Answer:

11%

Step-by-step explanation:

1. Fill out the table with the correct numbers.

2. After you fillout the numbers, you should notice that under the column car and in the first row, there should be the number 18.

3. We know the total number of students under the age of 15 is 165.

4. To find the percent:

       18/165 * 100

               = 11%

Answer:

41%

Step-by-step explanation:

Look at the column "Age 15 and above".

Notice how the row total for that column is 195.

Also, look at "Bus".

Notice how there is a gap between 60 and 110.

To calculate the answer, you need to fill in the blanks using the surrounding numbers.

60 + 50 = 110, so to the right of "65" on "Age 15 and above", there should be a 50.

The "195" at the end of the row is now on the same row as the numbers: 65, 50, and a blank spot.

Now, all we have to do is simply ask ourselves what 65 + 50 gets us, and what we need to add to that to get 195.

65 + 50 = 115, 115 + 80 = 195.

Although, notice that this does not mean the answer is not 80%.

We need to find what percentage is 80 out of 195.

80 out of 195 = 41.03%.

By rounding, we will get an answer of 41%.

Answer:

True.

Step-by-step explanation:

Answer: False

==========================================================

Explanation:

Let's consider a prism that has dimensions of  

and we'll say that the base is a rectangle with length L and width W. The area of the base is L*W = 3*4 = 12 sq ft. The volume of this prism is L*W*H = 3*4*5 = 60 ft^3

If we double the area of the base, then we go from 12 ft^2 to 24 ft^2. If we double the height, then we go from 5 ft to 10 ft.

The new volume of this larger prism is (area of base)*(height) = (24)*(10) = 240 ft^3

The jump from 60 ft^3 to 240 ft^3 is not "times 2". Instead, the multiplier is 240/60 = 4. This example shows that the volume has been quadrupled.

Answer:

m∠D = 97.34°

Step-by-step explanation:

Concept used"

sum of all angles of Quadrilateral is 360 degrees.

If any Quadrilateral is inscribed in circles then sum of opposite angle of that Quadrilateral is 180 degrees

________________________________________________

Given

Quadrilateral ABCD is inscribed in a circle

thus,

pair of opposite angles will be

m∠A and m∠C

m∠B and m∠D

thus,

m∠B + m∠D = 180

Thus,

m∠A + m∠C = 180

64+  (9x - 1) = 180

9x = 180 - 63 + 1 = 118

x = 118/9 = 13.11

thus, value of

m∠B is (6x + 4)°

m∠B = (6*13.11 + 4)°  = 82.66°

m∠B + m∠D = 180

82.66 + m∠D = 180

m∠D = 180 - 82.66 = 97.34°

Thus,

m∠D is 97.34°

Answer:

width = 5 ft

Step-by-step explanation:

1.9 times of  width = length

1.9*w = 9.5 ft

1.9w = 9.5

Divide both sides by 1.9

w = 9.5/1.9

w = 5 ft

Answer:

1.9w=9.5

w=width

1.9(w)=9.5

1.9(5)=9.5

Width(w)=5

Answer:

The unit price of the problem is that one pack of greeting cards costs $1.85

Step-by-step explanation:

In order to find the unit rate, you have to divide the price by the quantity of the product. So, we will divide 7.40 by 4 so we can see the price of one pack.

7.40 ÷ 4 = 1.85

So, one pack of greeting cards costs $1.85 which is also our unit price.

Answer:

1.85

Step-by-step explanation:

First, divided the money ( $7.40 ) by the whole number ( 4 )

Then, you will receive your answer

Answer:

Is 11

Step-by-step explanation:

x+(-y)+z —> -5 +(+7)+9 = -5+7+9 = 11

Answer:

Hello,

Step-by-step explanation:

Loi d'Ohm: U=R*I

a) U=20*0.5=10 (amp)

b) I=U/R=50/0.5=100 (amp)

Answer:

to find the mean add all numbers the divide by the ammount of numbers given

Step-by-step explanation:

ex: 1 , 2 , 3    

add:

1+2+3=6

divide:

6 / 3 = 2  

your mean is 2

all good?

Answer: to find the mean add up all numbers and divide them by the amount of numbers there and to find the median that is the middle number write it on a piece of paper and cross out the beginning and end till you get the to the middle that is your median

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

A.   L = 240 m

Step-by-step explanation:

use similar triangle

L / 60 = 80 / 20

L = (80 * 60) / 20

L = 240 m

Answer:

A

Step-by-step explanation:

First, we are already given the sides adjacent and opposite to ∠x. Therefore, we can use the tangent function. Recall that:

[tex]\tan(x)=opp/adj[/tex]

The opposite side is 20 while the adjacent side is 14.

Plug in the numbers. Use a calculator:

[tex]\tan(x)=20/14=10/7\\x=\tan^{-1}(10/7)\\x\approx55.0080\textdegree\approx55\textdegree[/tex]

Edits: Improved Answer. Removed Wrong Answer.

Answer:

55

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp/ adj

tan x = 20/14

Taking the inverse tan of each side

tan ^-1 tan x = tan ^ -1 (20/14)

x =55.0079798

To the nearest degree

x = 55

Answer:

-2, 3

Step-by-step explanation:

To find the coordinates of B, we need to understand the translation that has taken place. In a translation, each point of a figure is moved the same distance and in the same direction.

In this case, point A(5, 1) has been translated to point A'(6, -2). To find the distance and direction of the translation, we subtract the coordinates of A from the coordinates of A': Translation Vector [tex]= (6 - 5, -2 - 1) = (1, -3)[/tex] The translation vector represents the change in x and y coordinates between the original figure and its translated image.

Since B' has coordinates (-1, 0), we can apply the translation vector to find the coordinates of B as follows: B = B' - Translation Vector B [tex]= (-1, 0) - (1, -3)[/tex]  B [tex]= (-1 - 1, 0 - (-3)) B = (-2, 3)[/tex] So, the coordinates of B are (-2, 3).

To know more about Translation Vector visit:

https://brainly.com/question/29027060

#SPJ2

Answer:

Mid point is: (2.8;4.9)

Step-by-step explanation:

To find midpoint of a line segment we can use the general equation:

[tex]Mid=\frac{x_1+x_2}{2} ;\frac{y_1+y_2}{2}[/tex]

Where the point of the line are: (x₁;y₁) and (x₂;y₂).

In the problem, x₁ = 2.6, y₁ = 5.1 and x₂ = 3 and y₂ = 4.7. Replacing in the equation:

[tex]Mid=\frac{2.6+3}{2} ;\frac{5.1+4.7}{2}[/tex]

Answer:

(2.8, 4.9)

Step-by-step explanation:

Answer:

91

Step-by-step explanation:

Let x be the smallest one:

● x is the first number

● x+1 is the second number

● x+2 is the third number

The sum of these numbers is 276

● x+(x+1)+(x+2) =276

● x+x+1+x+2 = 276

● 3x + 3 = 276

Substract 3 from both sides:

● 3x+3-3 = 276-3

● 3x = 273

Divide both sides by 3

● (3x)/3 = 273/3

● x = 91

So the smallest one is 91

Answer:

10

Step-by-step explanation:

How you find LCD (lowest common denominator) is that you have to look at the denominator (the bottom number) and try to find the lowest multiple between both of the numbers that is on the bottom (in this case it is 2 and 5). Sometimes you have to multiply both denominators together to get a LCD.

Example of multiplying two denominators together to get an LCD:

1/3 and 1/13 LCD is 39 because you multiply 3 and 13.

1/5 and 1/4 LCD is 20 because you multiply 5 and 4.

Answer: $1398

Step-by-step explanation:

Given , Principal (P) =  $12,500

Rate of interest for 1st year [tex](R_1)[/tex]=  12% =0.12

Rate of interest for 2nd year [tex](R_2)[/tex]=  15% =0.15

Rate of interest for 3rd year [tex](R_3)[/tex]=  18% =0.18

Interest for first year = [tex]I=P\times R_1\times T[/tex]

= [tex]12500\times 0.12\times 1[/tex]

= $1500

Now, For second year new principal [tex]P_2 = \$12,500+\$1,500 =\$14,000[/tex]

Interest for second year = [tex]I=P_2\times R_2\times T[/tex]

= [tex]14000\times 0.15\times 1[/tex]

= $2100

Now, For third year new principal [tex]P_3 = \$14000+\$2,100 =\$16,100[/tex]

Interest for third year = [tex]I=P_3\times R_3\times T[/tex]

= [tex]16100\times 0.18\times 1[/tex]

= $2898

Difference  between the compound interest of the first year and the  compound interest for the third year. = $2898 - $1500 = $1398

Hence, the difference  between the compound interest of the first year and the  compound interest for the third year is $1398 .

hi

it a cube so it's height,length and width are the same.

if volume is 112 so one if this measure is : 112^(1÷3) =4,82

Answer:

C. h + k (t - 1)

Step-by-step explanation:

If we use an example, you can plug in the numbers and test out which equation works. Say the first hours costs $10 and each hour after that is an additional $5. If someone rents a jet ski for 4 hours, how much did it cost?

The first hour = $10

The 3 additional hours (totaled) = $15

Cost = $25

So now that we know the cost, we can plug in our numbers to these equations to find which one comes out with $25.

h = 10

k = 5

t = 4

A. 10 + 4 + 5 = 19

B. 10 + (4 · 5) = 10 + 20 = 30

C. 10 + 5 (4 - 1) = 10 + 5 (3) = 10 + 15 = 25

D. 10 + 5 (4 + 1) = 10 + 5 (5) = 10 + 25 = 35

E. 10 + (4/5 - 1) = 10 + (-0.2) = 9.8

C is the only problem that comes out as $25, therefore it must be the correct answer.

Answer:

FALSE

Step-by-step explanation:

The properties of exponents tells us that

[tex]9^9\ \ *\,\,9^{-20}\,=\,9^{9-20}\,=9^{-11}[/tex]

Answer:

False

Step-by-step explanation:

[tex](9 {}^{9} ) \times (9 {}^{ - 20}) = 9 {}^{9 + ( - 20)} = 9 {}^{9 - 20} = 9 {}^{ - 11} [/tex]

Hope this helps ;) ❤❤❤

Answer: 20 is the width and 27 is length

Answer:

A

Step-by-step explanation:

We can find a common denominator for all of these fractions, compute, and then compare the values to find the right answer.

Answer:

556

Step-by-step explanation:

Surface area=2*(lb+bh+lh)=2*(110+80+88)=556

Answer:

C = 8 pi cm

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

16 pi = pi r^2

Divide each side by pi

16 = r^2

Taking the square root

4 = r

The circumference is

C = 2 * pi *r

C = 2* pi *(4)

C = 8 pi cm