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2 years ago

A rectangle is 9 ft long and 40 in. wide. What is its area in square feet? (Note: 1 ft = 12 in.)

Mathematics

2 answers:

ivolga24 [154]2 years ago

4 0

Answer: first option

Step-by-step explanation:

Let's make the following conversion:

40 inches to feet (Knowing that 1 feet=12 inches):

$(40in)(\frac{1ft}{12in})=3.333ft$

The formula for calculate the are of a rectangle is:

$A=l*w$

Where l is the lenght and w is the width.

Therefore, when you substitute values, you obtain the following result:

$l=9ft\\w=3.33ft\\\\A=(9ft)(3.333ft)\\A=30ft$

ad-work [718]2 years ago

3 0

Answer:

The correct answer is first option 30 ft²

Step-by-step explanation:

Formula:-

Area of rectangle = l x b

l - Length of rectangle

b - Breadth of rectangle

It is given that,A rectangle is 9 ft long and 40 in

<u>To find the area</u>

here l = 9 ft

b = 40 in = 40/12 ft

Area = l x b = 9 x (40/12) = 30 ft²

Area of rectangle = 30 ft²

The correct answer is first option 30 ft²

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School meeting was attended only by sophomores, juniors, and seniors. 5/12 of those who attended were juniors, and 1/3 were seni

Veronika [31]

If $\frac{9}{12}$ of students were juniors and seniors that leaves the 36 sophomores to be $\frac{3}{12}$ or $\frac{1}{4}$ of attendees. I got $\frac{9}{12}$ by converting $\frac{1}{3} to \frac{4}{12} by multiplying it by 4$ and adding it to $\frac{5}{12}$ .

Now if 36 is $\frac{3}{12}$ of the equation that means theirs at least 36 juniors and seniors.

Lets start with seniors. there should be just over 36 of them there. Lets start by multiplying 36 by $\frac{3}{12}$ to figure out how many $\frac{1}{12}$ is.
The equation would look like this 36*(3/12)
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Now multiply 36 by .25. this equals 9.

We have 9 students per $\frac{1}{12}$ of the attendees.

To get the amount of seniors add 9 to 36 $\frac{4}{12}$ because we already stated $\frac{3}{12}$ is 36.
36+9=45

Now to find the juniors add another 9 to create $\frac{5}{12}$ .
45+9=54

In total you have:
36 sophomores
54 juniors
45 seniors

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2 years ago

A flying saucer crashes in a Nebraska cornfield. The FBI investigates the wreckage and finds an engineering manual containing an

anyanavicka [17]

Answer:

6 fingers

Step-by-step explanation:

Let X = the base of the numbers above

If X > 0

Then we have:

325 = 3 * X² + 2 * X¹ + 5 * X°

325 = 3X² + 2X + 5

42 = 4*X¹ + 2*X°

42 = 4X+ 2

And

411 = 4*X²+ 1*X¹ 1*X°

42 = 4X² + X + 1

Since 325 + 42= 11 then

3X² + 2X + 5 + 4X+ 2 = 4X² + X + 1 ------ Collect Like Terms

3X² - 4X² + 2X + 4X - X + 5 + 2 - 1 = 0

-X² + 5X + 6 = 0 ------- Multiply both sides by -1

X² - 5X - 6 = 0 ------- Factorise the Equation

X² - 6X + X - 6 = 0

X(X - 6) + 1( X - 6) = 0

(X + 1)(X - 6) = 0

X + 1 = 0 or X - 6 = 0

X = -1 or X = 6

But X>0

So, X =-1 is invalid

X = 6

The expected number of fingers of the Martian is 6

6 0

2 years ago

The circle below is centered at the point (-3/4) and has a radius of length 3 what is its equation??

Agata [3.3K]

{x-(-3/4)}^2=3^2
(x+3/4)^2=9
{(4x+3)/4}^2=9
(4x+3)^2/16=9
(4x+3)^2=9*16
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16x^2+24x+9-144=0
16x^2+24x-135=0

6 0

2 years ago

Read 2 more answers

For the function y= -1+6cos(2pi/7(x-5)) what is the maximum value?

nata0808 [166]

The maximum value is actually the maximum of y

So, you don't need to care about the stuff inside cosine function,

Cosine function is always within the range of [-1,1]

So here, ymax = -1 + 6* 1 = 5

4 0

2 years ago

The population p of a small community on the outskirts of a city grows rapidly over a 20-year period: t05101520p1002004509502000

myrzilka [38]

Answer:

The population of the small community, 5 years into the future, after the initial 20-year period = 4268.

Step-by-step explanation:

t | 0 | 5 | 10 | 15 | 20

p | 100 | 200 | 450 | 950 | 2000

The exponential function will look like

p = aeᵏᵗ

where a and k are constants.

Take the natural logarithms of both sides

In p = In aeᵏᵗ

In p = In a + In eᵏᵗ

In p = In a + kt

In p = kt + In a.

We then use linear regression to fit the data of In p against t to obtain k and In a.

t | 0 | 5 | 10 | 15 | 20

p | 100 | 200 | 450 | 950 | 2000

In p | 4.605 | 5.298 | 6.109 | 6.856 | 7.601

In p = kt + In a.

y = mx + b

m = k and b = In a

Performing a linear regression analysis on the now-linear relationship between In p and t and also plotting a graph of the variables.

The regression equation obtained is

y = 0.151x + 4.584

The first attached image shows the equations necessary for the estimation of the linear regression parameters.

The second attached image shows the use of regression calculator and the plot of the function In p versus t.

Comparing

y = 0.151x + 4.584

With

In p = kt + In a.

y = In p

k = 0.151

x = t

In a = 4.584

a = 97.905

The exponential function relating p and t,

p = aeᵏᵗ now becomes

p = 97.905 e⁰•¹⁵¹ᵗ

So, to predict the population 5 years into the future, that is 5 years after the 20 year period.

we need p at t=25 years.

0.151 × 25 = 3.775

p(t=25) = 97.905 e³•⁷⁷⁵ = 4268.41 = 4268.

Hope this Helps!!!

7 0

2 years ago