A square is circumscribed about a circle with a diameter of 10 cm. What is the correct set up to find the area of the shaded region?

[tex]~~~-8x +19 < -13\\\\\implies -8x < -13 -19\\\\\implies -8x < -32\\\\\implies x > \dfrac{-32}{-8}\\\\\implies x > 4[/tex]

Answer:

$1350

Step-by-step explanation:

Simple Interest = Deposit ×Rate/100×Time

SI=5000×9/100×3

=$1350

The package which the company should choose if it costs the same to produce the two products is the cylinder because it has about 27.5 in.3 less wasted space than the prism.

The term "cost of production" refers to all the costs that are involved when a company offers a service or manufactures a product.

Costs of production relate to the different expenses that a firm faces in producing a good or service.

This refers to the amount which is used to produce a good.

With this in mind, we can see that there are the given dimensions for the square prism and cylinder from the complete question.

Hence, because they cost the same, choosing the cylinder is the best choice because of the less wasted space than the prism.

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Answer:

It's A

Step-by-step explanation:

Answer:

yea

Step-by-step explanation:

Answer:

[tex]a^{2} + 5a -24[/tex]

Step-by-step explanation:

For the distributive property, it is like multiplying each term by the other whole group.

For this problem we can set it up like this:

a(a-3) + 8(a-3) =

a^2 - 3a + 8a - 24 =

a^2 + 5a - 24

Answer:

22

Step-by-step explanation:

Answer:

18 8/9

Step-by-step explanation:

3 7/9 =[ (3*9) + 7] / 9

= 34/9

So we have 5 * 34/9

=  170/9

= 18 8/9.

Answer:

A

Step-by-step explanation:

you dont need much to bring an 82 to an 85

To write the expression [tex]6 \frac{7}{12}[/tex]  in radical form.

To express the radical form in simplest it just means simplifying the radical so that there are further no more square root, cube root etc.

Use the rule:

[tex]a\frac{x}{y}[/tex] = [tex]\sqrt[y]{a^{2} }[/tex]

Apply this rule on the the given expression:

[tex]6\frac{7}{12} = \sqrt[12]{6^{7} }[/tex]

Therefore, the expression in radical form is [tex]\sqrt[12]{6^{7} }[/tex]

Answer:

0%

Step-by-step explanation:

There are no brown balls, so therefore it is impossible to get one.

The railroad crew repair 1500 km in 25 days if the railroad crew can replace 360 meters of rails in 6 days

Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

A railroad crew can replace 360 meters of rails in 6 days.

Let's suppose the x kilometers of rail they can repair in 25v days

Per day they repair = 360/6 = 60 km/day

Then the x can be found:

x = 60×25

x = 1500 km

Thus, the railroad crew repair 1500 km in 25 days if the railroad crew can replace 360 meters of rails in 6 days.

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Answer:

41%

Step-by-step explanation:

step one to determine what the fraction would be you just read the question: first you have to see what they want to calculate the percentage of. In this case it's students who like traveling out of state but don't like camping. 88 students like traveling out of state and 36 of those students don't like camping so the fraction you have to use is 36/88 step two next you multiply your fraction by 100 to calculate your percentage 36/88×100= 40.9% step three since you have to round to the nearest whole percent your answer would be 41%

Answer:

3(3x-2)=39

9x-6=39

9x=39-6

9x=33

x=33/9

x=11/3

Answer:

x=5

Step-by-step explanation:

First, distribute the left side. 3(3x-2)=39 3 x 3x=9x 3 x -2=-6 m So, we get 9x-6=39

Next, we add six to both sides. We get 9x=45.

Lastly , we divide both sides by 9 and get x=5.

Plug x=5 into the place where x is to check your work. 3(3(5) - 2)=39

3(15-2)=39 3(13)=39 39=39 Since 39 is equal to 39, the equation is true.

24 sq. yards

hope it helps...!!!

Answer:

Step-by-step explanation:

BRAINLIEST

Answer:

0

Step-by-step explanation:

2x-6=2x+15

2x-2x=15+6

0x/0=21/0

x=0

Answer:

120 cubed inches

Step-by-step explanation:

5 x (3 x 8)

5 x 24

120

Answer:

Step-by-step explanation:

Volume of rectangular prism = lwh

                                                 = 8 * 3 * 5

                                                 = 120 cubic inches

Using the least common factor, it is found that it would take 90 minutes for both boys to return to the starting point at the same time.

To find the least common factor, we factor the numbers by prime factors, and then multiply these factors.

The lcm represents the periodicy, that is, when two periodic amounts will be at the same value.

In this problem, the periods are of 15 minutes and 18 minutes, hence:

15 - 18|2

15 - 9|3

5 - 3|3

5 - 1|5

1 - 1

Hence:

lcm(15,18) = 2 x 3 x 3 x 5 = 90.

It would take 90 minutes for both boys to return to the starting point at the same time.

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Total money Tammy has = $70

Money she is left with now = $19.54

Therefore, the money she used on coffee =

70 - 19.54 = $50.46

Now,

1 pound coffee costs $8.41

Pounds of coffee she bought = 50.46 ÷ 8.41

= 6 pounds

A quadratic equation is in the form of ax²+bx+c. The time for which the stone was in the air is 3.526.

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers.

It is written in the form of ax²+bx+c.

As the height of the stone will be zero or can say that the stone will be at the ground in only two conditions. When the stone will be just thrown and when the stone will complete its flight. Therefore, we can substitute the value of heigh h in the function as 0 to get those two timings.

[tex]h(t) = 5 + 50t - 16t^2\\\\0 = 5+50t - 16t^2[/tex]

Substitute the quadratic equation in the formula of the root of the quadratic function,

[tex]x = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\t = \dfrac{-50\pm\sqrt{(50)^2-4(-16)(5)}}{2(-16)}\\\\t= -0.089, 3.526[/tex]

Hence, the time for which the stone was in the air is 3.526.

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Answer:

1875

Step-by-step explanation:

1335 + 0540 = 1875

Answer:

1,875

Step-by-step explanation:

[tex]1335 + 540 = 1,875[/tex]

Hope this helps! : )

The approximate area of the decagon with a side of 8cm is 492.37 cm².

Given side of the regular decagon = 8cm

A decagon is a polygon with 10 equal sides.

We know that area of a regular decagon with side a is given by:

[tex]A=\frac{5}{2} a^{2} \sqrt{5+2\sqrt{5} }[/tex]

So, the area A of the regular decagon with a side of 8cm=[tex]\frac{5}{2} 8^{2} \sqrt{5+2\sqrt{5} }[/tex]

[tex]A=160\sqrt{5+2\sqrt{5} }[/tex]

A=492.37 cm²

Therefore, the approximate area of the decagon is 492.37 cm².

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Answer:

A = 31.875 inches squared

Step-by-step explanation:

Area of a parallelogram is bh

b = 12 and 3/4 is just 12.75 inches

h = 2 and 1/2 is just 2.50 inches

Multiply these together and you get the area,

A = (12.75)(2.50) = 31.875 inches squared

Answer:

31.875 (31.88 rounded)

Step-by-step explanation:

A =b x h

A =12.75 x 2.5

A = 31.875

----------------------

12.75 = 12 [tex]\frac{3}{4}[/tex]

2.5 = 2[tex]\frac{1}{2}[/tex]

Answer:30

Step-by-step explanation: length is 20, Width is 20-10 =10

Area = 20×10=200

Formula for the Circumference of a Circle = pi x diameter

---The diameter is the same thing as 2 x radius

Circumference = 8

pi = 3.14

Diameter = d

---First, plug in what we know

8 = 3.14 x d

---Divide by 3.14 to get d by itself

d = 8 / 3.14 = 2.54777

---Round to the nearest tenth

d = 2.5 cm

Hope this helps!

d=2.5

Hope it helps.

Do comment if you have any query.

The means of samples 1 and 2 is 3.45. The mean of sample 3 is 3.8. Based on the data, the average diner would visit the restaurant 3 or 4 times.

The mean of a sample is the average of all the data sets given in the sample. The mean of a sample is useful in calculating population averages, central tendency, standard deviation, etc.

Mathematically, the mean of a sample can be expressed as:

[tex]\mathbf{\overline X =\dfrac{sum \ of \ the \ terms }{no \ of \ terms } }[/tex]

[tex]\mathbf{\overline X =\dfrac{\sum X}{N} }[/tex]

Thus, the means of samples 1 and 2 is:

[tex]\mathbf{\overline X =\dfrac{36+33}{20} }[/tex]

[tex]\mathbf{\overline X =3.45}[/tex]

The mean of sample 3 is:

[tex]\mathbf{\overline X =\dfrac{3+3+6+4+1+5+3+4+4+5}{10} }[/tex]

[tex]\mathbf{\overline X =3.8}[/tex]

Based on the data, the average diner would visit the restaurant 3 or 4 times, because the mean of the samples lies between 3 to 4.

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Answer:

[tex] \frac{25}{100} \times 1.20[/tex]