If a = 11 ft, b = 5 ft, and c = 7 ft, what is the surface area of the geometric shape formed by this net?

A. 167 sq. ft.
B. 145 sq. ft.
C. 117.5 sq. ft.
D. 147 sq. ft.

Answer: 5 cm

Step-by-step explanation: If you liked this answer check out my channel Saltygum and subscribe

Check the picture below.

now, we know the base is a square, thus the length = width, namely L = w, so

[tex]\bf SA=2(Lw+Lh+wh)\implies \stackrel{\textit{since we know that L=w}}{380=2(ww+wh+wh)} \\\\\\ \cfrac{380}{2}=w^2+2wh\implies 190=w^2+2wh \implies 0=w^2+2wh-190 \\\\\\ 0=(w+19)(w-10)\implies w= \begin{cases} -19\\ \boxed{10} \end{cases}[/tex]

since the units must be positive, we can't use -19.

Final answer:

To find the largest width for the voting box, we need to consider its surface area. By setting up an equation and differentiating it with respect to the width, we can find the maximum width. The largest width for the box would be approximately 58.46 inches.

Explanation:

To find the largest width of the voting box, we need to consider its surface area. The surface area of a square-based box is given by 2lw + lh + wh, where l is the length, w is the width, and h is the height. We are given that the height is 4.5 inches, and we need to find the maximum width. The maximum surface area is 380 in2, so we can set up the equation as follows:

2lw + lh + wh = 380

Substituting the given height and rearranging the equation:

2lw + (4.5)(w) + (w)(w) = 380

Simplifying the equation:

2lw + 4.5w + w2 = 380

Since we are trying to find the maximum width, we can differentiate the equation with respect to w and set the derivative equal to zero:

d(2lw + 4.5w + w2)/dw = 0

2l + 4.5 + 2w = 0

Solving for w:

w = (380 - 4.5l)/2

Since the width should be the largest possible, we can substitute the maximum value of the length. Given that the box has a square base, the length and width are equal. Therefore, we substitute l = w:

w = (380 - 4.5w)/2

Simplifying the equation:

2w = 380 - 4.5w

6.5w = 380

w ~ 58.46 inches

Therefore, the largest width that the box could have is approximately 58.46 inches.

the answers 11/6 which can't be reduced

Answer:

Step-by-step explanation:

Yes.  If the vertical line intersects the graph in only one place for each x value, the graph represents a function; if in two or more places, not.

Answer:

10 1/2

Step-by-step explanation:\

dont change the whole number part

0.5 is the same as 1/2

so 10 1/2

Final answer:

To convert 10.5 to a fraction, express it as 105/10 and simplify it to 21/2.

Explanation:

When converting the decimal 10.5 to a fraction, we can view the number 10.5 as having one decimal place.

To express the decimal as a fraction, we put the decimal over its place value, which in this case is 10 since there is one decimal place (0.5 is in the tenths place).

Therefore, 10.5 can be expressed as 105/10.

However, this fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 5.

Thus, the simplified fraction for 10.5 is 21/2.

To determine how long to leave $7500 in the bank at 6% interest compounded semi-annually to reach $16200, use the compound interest formula. Solving for t, time in years, yields approximately 11.9 years for the investment to grow to the desired amount.

To calculate how long the person must leave their money in the bank for it to grow from $7500 to $16200 with an interest rate of 6% compounded semi-annually, we'll use the formula for compound interest:

A = P(1 + \frac{r}{n})^{nt}

Where:

We are given:

Our goal is to solve for t, the time in years. Plugging the known values into the formula:

$16200 = $7500(1 + \frac{0.06}{2})^{2t}

Divide both sides by $7500:

2.16 = (1 + \frac{0.06}{2})^{2t}

Now take the natural logarithm of both sides:

ln(2.16) = ln((1 + \frac{0.06}{2})^{2t})

Use properties of logarithms to bring down the exponent:

ln(2.16) = 2t \cdot ln(1 + \frac{0.06}{2})

Divide both sides by 2ln(1 + \frac{0.06}{2}) to solve for t:

t = \frac{ln(2.16)}{2 \cdot ln(1 + \frac{0.06}{2})}

t = \frac{ln(2.16)}{2 \cdot ln(1.03)}

Using a calculator, we find t ≈ 11.9 years. Therefore, the person must leave the money in the bank for approximately 11.9 years to reach $16200.

To the nearest tenth of a year, the person must leave the money in the bank for approximately 13 years.

To find the time required for the investment to reach $16200, we can use the formula for compound interest:

[tex]\[ A = P \left(1 + \frac{r}{n}\right)^{nt} \][/tex]

Where:

- ( A ) is the amount of money accumulated after ( t ) years.

- ( P ) is the principal amount (the initial investment).

- ( r ) is the annual interest rate (in decimal form).

- ( n ) is the number of times interest is compounded per year.

- ( t ) is the time the money is invested for (in years).

Given:

- ( P = 7500 )

- ( A = 16200 )

- ( r = 0.06 ) (6% interest, converted to decimal)

- Interest is compounded semi-annually, so ( n = 2 )

We need to solve for ( t ):

[tex]\[ 16200 = 7500 \left(1 + \frac{0.06}{2}\right)^{2t} \][/tex]

[tex]\[ \frac{16200}{7500} = \left(1 + 0.03\right)^{2t} \][/tex]

[tex]\[ 2.16 = \left(1.03\right)^{2t} \][/tex]

Take the natural logarithm of both sides:

[tex]\[ \ln(2.16) = \ln\left(\left(1.03\right)^{2t}\right) \][/tex]

[tex]\[ \ln(2.16) = 2t \cdot \ln(1.03) \][/tex]

Now, solve for [tex]\( t \)[/tex]:

[tex]\[ t = \frac{\ln(2.16)}{2 \cdot \ln(1.03)} \][/tex]

[tex]\[ t \approx \frac{0.7693}{2 \cdot 0.0296} \][/tex]

[tex]\[ t \approx \frac{0.7693}{0.0592} \][/tex]

[tex]\[ t \approx 13 \][/tex]

So, to the nearest tenth of a year, the person must leave the money in the bank for approximately 13 years.

Answer:

Surface Area: 2123.72

Volume: 9202.77

Density: 0.0078

Step-by-step explanation:

For a sphere, the height is the diameter.

Also we know the radius is half of the diameter.

Since height is 26, diameter is 26 as well. Thus, radius is half of 26, which is 13.

Formulas:

Surface area of sphere = 4πr^2

Volume of sphere = [tex]\frac{4}{3}\pi r^3[/tex]

Density = mass/volume

Firstly, the surface area:

[tex]4\pi r^2\\=4\pi (13)^2\\=2123.72[/tex]

Next, the volume:

[tex]\frac{4}{3}\pi r^3\\=\frac{4}{3}\pi (13)^3\\\\=9202.77[/tex]

Lastly, density:

[tex]\frac{Mass}{Volume}\\=\frac{72}{9202.77}\\=0.0078[/tex]

*Note: all answers are given as is since no units were given

Answer:

 [tex]arc\ lenght=\pi[/tex]≈[tex]3.14[/tex]

Step-by-step explanation:

You need to use the formula for calculate the arc lenght:

[tex]arc\ length=2\pi r(\frac{C}{360})[/tex]

Where "C"  is the central angle of the arc in degrees and "r" is the radius.

You know that the measure of the radius of the circle is 4 inches and the central angle is 45 degrees, then you can substitute into the formula [tex]arc\ length=2\pi r(\frac{C}{360})[/tex].

Therefore, you get that  the measure of the arc length is:

[tex]arc\ length=2\pi r(\frac{C}{360})\\\\arc\ length=2\pi (4in)(\frac{45\°}{360})[/tex]

[tex]arc\ lenght=\pi[/tex]≈[tex]3.14[/tex]

Answer:

Pi Inches

Step-by-step explanation:

Answer:

4$ for large 3$ for a small

Step-by-step explanation:

Answer:

(A) cost of one large popcorn is $4.

(B) cost of one small drink is $3.

Step-by-step explanation:

Given information:

Let the cost one of large popcorn [tex]=P[/tex]

And the cost of one small drink [tex]= D[/tex]

Now according to the given information the equations that can be formed are:

[tex]2P+4D=20\\2P+2D=14\\[/tex]

Now solving the above equation by elimination method:

[tex]4D-2D=20-14\\2D=6\\D=3[/tex]

So, the cost of one small drink is $3

Now, find the cost of one large popcorn is;

[tex]2P+4 \times 3=20\\2P=20-12\\P=4[/tex]

So, the cost of one large popcorn is $4

For more information visit:

https://brainly.com/question/13911928?referrer=searchResults

Answer:

920

Step-by-step explanation:

Answer:The bottom rectangle is 15 x 20 = 300 square cm.

The top triangle is 1/2 x 20 x (8+8+15) = 1/2 x 20 x 31 = 1/2 x 620 = 310 square cm.

Total area = 300 + 310 = 610 square cms.

Answer:50%

Step-by-step explanation:

Whenever you are trying to find the percentage  Use this euation for exmaple based off your question it would be

22*100/44

Answer:

6,000

Step-by-step explanation:

every number 5 and over, you round it one number up. if youre rounding the thousands place, look at the hundreds place. if its 5 or over you round the thousands number up one then add the zeros.

Answer:

8

Step-by-step explanation:

20-1=19

19-3=16

16/2=8

Answer:

S= 8 Cans Of Soup

Step-by-step explanation:

Starts With- $20

Ends With- $1

20-1=$19

$19 spent in all

Buys gallon/ Or Gallons of milk :  1 Gallon= $3

$19-$3= $16   S=Cans of soup  1 can=$2        $16 ÷ $2= S

2, 4, 6, 8, 10, 12, 14, 16    S= 8 cans        $2×8=$16

1,  2, 3, 4, 5,   6,   7,   8

oof did u ever find out the answer...

Answer:

The scatter plot that represents the data that is shown in the table is attached below.

Step-by-step explanation:

The given table represents the balance of bank account at the beginning of the past week was and how much it increased or decreased by the end of the past week.

In the scatter plot, x-axis represents the beginning balance in thousands of dollars and the y-axis represents the change in the bank account in hundreds of dollars.

From the table, it is clear that the points of scatter plot are (4,7), (7,5), (2,3), (3,4), (1,6), (5,3), (6,1) and (4,2).

Therefore the scatter plot that represents the data that is shown in the table is attached below.

Answer:

The polynomial -gh⁴i + 3g⁵ is a binomial, since it has two terms

Degree of polynomial: degree of a polynomial is the term with highest of exponent.

Degree of binomial -gh⁴i + 3g⁵ = 6

1st term(-gh⁴i ) = (power of g = 1, power of h = 4, power of i = 1)

2nd term(3g⁵) = (power of g = 5)

the polynomial -gh⁴i + 3g⁵ is a 6 degree binomial.

Answer:

$8.80

Step-by-step explanation:

In order to find the new price, you need to add 60% of the original price (5.50) to the original price. You have two options:

1) multiply $5.50*0.6 to get 60% of the original price. You would get $3.30. Then add $3.30+$5.50, which equals $8.80. This way takes longer but shows you all the steps.

2) The shorter way is to simply multiply $5.50*1.6, which also equals $8.80. This works because the "1" automatically adds the 5.50 to 60% of the original price, this way you don't have to multiply then add.

If you don't understand how the second way works or your teacher taught you #1, just do it the first way.

Final answer:

To find the new price after a 60% markup, you need to calculate 60% of the original price and then add it to the original price.

Explanation:

To find the new price after a 60% markup, you need to calculate 60% of the original price and then add it to the original price.

Step 1: Calculate 60% of $5.50. 60% is equivalent to 0.60, so multiply 0.60 by $5.50 to get $3.30.

Step 2: Add $3.30 to $5.50 to find the new price. $3.30 + $5.50 = $8.80.

Therefore, the new price of the item after the 60% markup is $8.80.

Answer:

After 9 movies they will have paid the same amount

Step-by-step explanation:

We must write an equation for Duke's expenses and an equation to represent Tennessee's expenses.

For Duke expenses we have:

A fixed expense of $ 111.60 per year

A variable expense of $ 4.00 for each movie.

The equation that represents the expenses is a linear equation like the one shown below

[tex]C = 111.60 + 4.00x[/tex]

Where C represents the cost and x the number of movies.

For Tennessee expenses we have:

A variable expense of $ 16.40 for each film.

The equation that represents the expenses is a linear equation like the one shown below

[tex]C = 16.40x[/tex]

Where C represents the cost and x the number of movies.

To know after how many movies have paid the same amount, we equate both equations and solve the variable x

[tex]111.60 +4.00x=16.40x\\\\16.40x - 4x = 111.60\\\\12.40x =111.60\\\\x =\frac{111.60}{12.40}\\\\x =9[/tex]

After 9 movies they will have paid the same amount

Answer:

[tex]\frac{WR}{v^2} =t[/tex]

Step-by-step explanation:

[tex]W = \frac{v^2t}{R}\\\\W\cdot R = v^2t\\\\\frac{WR}{v^2} =t[/tex]

Answer:

A = 102 cm^2

Step-by-step explanation:

This figure is a trapezoid.  The area is given by

A = 1/2 (b1+b2) *h  where b1 is the base and b2 is the top

b1 = 21   b2 = (6+7)  and h = 6

A = 1/2 (21+13) *6

A = 1/2 (34)*6

A = 102 cm^2

Answer:

(x+2) (x+6)

Step-by-step explanation:

x^2+8x+12

What 2 numbers multiply together to give you 12 and add together to give you 8

2*6 = 12

2+6 = 8

(x+2) (x+6)

Answer: (x+2) (x+6)

Step-by-step explanation: a p e x

0.329 is rational, 127.5 is rational, -89 is rational rational

Answer:

the 2 in 270,413 is in the thousandths place. The 2 in 419,427 is in the tenths place

Hopes this helps

Answer:

10,000

Step-by-step explanation:

I did the test

Answer:

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}y=-8x&(1)\\4x-y=3&(2)\end{array}\right\qquad\text{put (1) to (2):}\\\\4x-(-8x)=3\\4x+8x=3\\12x=3\qquad\text{divide both sides by 12}\\x=\dfrac{3}{12}\to x=\dfrac{1}{4}\\\\\text{put the value of x to (1):}\\\\y=-8\left(\dfrac{1}{4}\right)=-2[/tex]

Answer:

x = 1/4 and y = -2

Answer:

30 degrees

Step-by-step explanation:

P+Q+R=180

80+70+Q=180

Q=30

PQR = angle Q

Answer:30 degrees!!

Step-by-step explanation:

happy Friday! :) hope this helps!

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

[tex]y=\frac{3}{4}x-4[/tex]

This is a linear equation (the graph is a line)

To identify the graph find out the intercepts

Find out the y-intercept

The y-intercept is the value of y when the value of x is equal to zero

For x=0

[tex]y=\frac{3}{4}(0)-4=-4[/tex]

The y-intercept is the point (0,-4)

Find out the x-intercept

The x-intercept is the value of x when the value of y is equal to zero

For y=0

[tex]0=\frac{3}{4}x-4[/tex]

[tex]\frac{3}{4}x=4[/tex]

[tex]x=16/3=5.33[/tex]

The x-intercept is the point (5.33,0)

therefore

The graph in the attached figure

The graph of the linear function y = x 3/4–4 can be generated by understanding that '3/4' is the slope and '-4' is the y-intercept. This implies for every horizontal increase of 4 units, there's a vertical rise of 3 units. The function intersects the y-axis at -4.

The linear function in question, y = x 3/4–4, can be graphed by understanding how the terms within the equation shape the line. The term '3/4' in the equation is the slope of the line and '–4' is the y-intercept. The slope or the rate of change is less than 1 which means for every increasing step in 'x', 'y' increases by less of a step (3/4 of a step, in this case). The linear function intersects the y-axis at -4. Therefore, when you plot x and y values, keep in mind that for every rise of 3 on the vertical axis, there's an increase of 4 on the horizontal axis. Start by marking the y-intercept (0, -4) and use the slope (3/4) to find the next points. From the y-intercept, move 3 units up and 4 units to the right. Repeat this pattern to generate other points that lie on the line.

https://brainly.com/question/20106471

#SPJ3

Answer:

the first answer is 135

Step-by-step explanation:

Answer:

equation: (8-8) ÷ (0-6)

answer: 0

Step-by-step explanation:

Answer:

You want to leave a 15% tip on a meal that cost $16.25.

First, convert the 15% to an actual number that can be used in a calculation. For percents,this is always done by simply dividing the percent (in this case 15%) by 100%.So, the conversational term "15%" becomes 15% / 100% = 0.15 in terms of a real mathematical number.

Second, you need to find out what 15% of your $16.25 meal cost is.This is always done by multiplying 0.15 by $16.25, or

0.15 x $16.25=$2.44.

So, the amount of tip you are going to leave is $2.44.

This makes the total cost of your meal (to write on your charge slip or other payment)

$16.25 + $2.44 = $18.69.

Answer:

$19.99

Step-by-step explanation:

16.25 + 3% tax + 20% tip

16.25 * 0.03 = .49

16.25 * .20 = 3.25

16.25 + .49 + 3.25 = $19.99

Answer:

He will cover 120 miles.

Step-by-step explanation:

K so provided is a picture of my work. I drew a unit rate table thing. Then off the side i calculated how fast he would need to go in 1 hour. So i could add it correctly. I hope this makes sense, if it doesnt just ask me lol

Answer:

Step-by-step explanation:

Alright, lets get started.

Suppose the distance to the park is d.

Suppose the speed is s.

Adam takes 4 hours to drive to park.

Applying speed, time , distance formula

[tex]time=\frac{distance}{speed}[/tex]

[tex]4=\frac{d}{s}[/tex]

[tex]s=\frac{d}{4}[/tex] .......................... equation 1

If the speed is 45 faster, time is 2.5 times less, means

[tex]\frac{4}{2.5}=\frac{d}{s+45}[/tex]

[tex]1.6=\frac{d}{s+45}[/tex]

Cross multiply

[tex]1.6(s+45)=d[/tex]

Plugging the value of s from equation 1

[tex]1.6(\frac{d}{4}+45)=d[/tex]

[tex]1.6*\frac{d}{4}+1.6*45=d[/tex]

[tex]0.4d+72=d[/tex]

[tex]0.6d=72[/tex]

[tex]d=\frac{72}{0.6}[/tex]

[tex]d=120[/tex]

So the distance is 120 miles.  :   Answer

Hope it will help :)

Answer:

Pretty sure its Quadratic

Step-by-step explanation:

Linear, needs to be in a straight line.

Quadratic, involving the second and no higher power of an unknown quantity or variable.

Exponential, (of an increase) becoming more and more rapid.