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2 years ago

Find the area of the shaded region. Round your answer to the nearest tenth. Put the units on the answer for full credit

Mathematics

1 answer:

Finger [1]2 years ago

6 0

Answer:

Area of Shaded Region: 189 square centimeters

Step-by-step explanation:

~ To find the area of the shaded region, let us calculate the area of the rectangle added to the area of the two triangles, or the area of the whole triangle created from the two smaller triangles ~

1. Given dimensions of 15 by 9 centimeters, the area of the rectangle would be ⇒ 15 cm * 9 cm = 135 cm^2

2. It would be simpler if we were to consider the area of the larger triangle. The height in this case, by the Partition Postulate, would be 27 cm - 15 cm ⇒ 12 centimeters. Now provided that the shape with dimensions 15 cm by 9 cm is a rectangle, opposite sides are ≅, and thus ⇒ the base of this large triangle is 9 cm. That being said we can calculate the area of the triangle by ⇒ 1/2 * base * altitude ⇒ 1/2 * 9 cm * 12 cm ⇒ 6 cm * 9 cm ⇒ 54 cm^2

3. The area of the shaded region is thus 135 cm^2 + 54 cm^2 ⇒ 189 cm^2

Area of Shaded Region: 189 square centimeters

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1) At Joe's Restaurant, one-fourth of the

andrew11 [14]

Answer:

1/20 of the patrons at Joe's restaurant are expected to be male and out of town.

Step-by-step explanation:

1. Let's review all the information provided for solving this question:

Proportion of patrons that are male at Joe's restaurant = 1/4

Proportion of patrons that are from out of town at Joe's restaurant = 1/5

2. What proportion would you expect to be male and out of town?

For finding the proportion of the patrons, that would be male and that would be from out of town, we do this calculation:

Proportion of patrons that are male at Joe's restaurant * Proportion of patrons that are from out of town at Joe's restaurant

1/4 * 1/5 = 1/20

It means that 1/20 of the patrons at Joe's restaurant are expected to be male and out of town.

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3 years ago

Jill has been watching the squirrels that live in her neighborhood. The number of squirrels changes each week. n f(n). 1 8. 2 12

qaws [65]

Answer: D) $f(n)=8(1.5)^{n-1}$

Step-by-step explanation:

From the given table we can see that this is not representing a linear function as the rate of change is not constant.

So it can be exponential growth function $A(b)^{n-1}$ , where A is the initial amount , b is the multiplicative rate of growth and n is the time period in weeks.

Now here at n=1 , f(n)=8

Therefore, A=8

Now, for n=2

$f(2)=8(b)^{2-1}\\\Rightarrow12=8b\\\Rightarrow\ b=\frac{12}{8}\\\Rightarrow\ b=1.5$

By substitute the values of A and b in the above equation, we get the equation $f(n)=8(1.5)^{n-1}$

Therefore, the function best shows the relationship between n and f(n) is

$f(n)=8(1.5)^{n-1}$ , where n is the number of weeks.

7 0

2 years ago

Read 2 more answers

Combine the like terms and simplify . Please help I will mark Brainly

Andrej [43]

3. is q+21
4. 7s-5t+8

5 0

3 years ago

Read 2 more answers

A rectangular box which is open at the top can be made from an12-by-18-inch piece of metal by cutting a square from each corner

algol [13]

Answer:

h=2.35in, l=13.3in and w=7.3in

Step-by-step explanation:

In order to solve this problem, we must start by drawing a diagram that will represent the prolem. (Look at attached picture)

From the diagram we can see that the length ad the width of the box are found by using the following expressions:

L=18-2x

W= 12-2x

H=x

next, we can make use of the volume formula of a rectangular prism, which is the following:

V=WLH

so we can substitute the expressions we got before on the formula:

V=x(12-2x)(18-2x)

and for ease of calculation, we can multiply the terms, so we get:

$V=x(216-24x-36x+4x^{2})$

$V=x(4x^{2}-60x+216)$

$V=4x^{3}-60x^{2}+216x$

So now we can find the derivative of the volume:

$V'=12x^{2}-120x+216$

and set it equal to zero, so we get:

$12x^{2}-120x+216=0$

and now we can solve. We can start by factoring the left side of the equation, so we get:

$12(x^{2}-10x+18)=0$

which yields:

x^{2}-10x+18=0

This one can only be solved by using the quadratic formula:

$x=\frac{-b\pm \sqrt{-b^{2}-4ac}}{2a}$

so we substitute the corresponding values:

$x=\frac{-(-10)\pm \sqrt{-(-10)^{2}-4(1)(18)}}{2(1)}$

which yields:

x=7.65in or x=2.35in

we keep the 2.35in only, because the 7.65in returns an impossible box, since that would make the width a negative width.

So the 2.35in height would give us the greatest box. Now we can use it to find the height, the width and the length of the box.

Height=x=2.35

W=12-2x=12-2*2.35=7.3in

L=18-2x=18-2(2.35)=13.3in

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3 years ago

A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs $68. A season ski pass costs $300. The

lina2011 [118]

first, ignore the rent for the skies. we could add it to both, but since it's the same, it would not change the number of days here.

this information is meant to test your decision making on what's important for the question.

now just ask how often you can pay $68 dollars per day while staying below 300 in total, you can just count it up.

68, 136, 204, 272, 340

its 4 days

for 5 days or more, the season pass is the better option

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2 years ago