A rectangular region is removed from another rectangular region to create the shaded region shown below. Find the area of the shaded region.
11 yd
13 yd
4 yd
6 yd

Answer:

The first one

Step-by-step explanation:

We need to find out how much chairs there are in each of the 7 rows, so we put it as 7c. The last row has 7 chairs, so we use an addition sign to include that. Since there are 70 chairs in total, the sum is 70.

Hope this helps!

Answer:

x = 1 and x = 7

Step-by-step explanation:

The given equation is [tex]x^2 - 8x + 7 = 0[/tex].

We need to solve the equation.

It is a quadratic equation whose solution is given by :

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]

Here, a = 1, b = -8 and c = 7

Put values,

[tex]x=\dfrac{-(-8)\pm \sqrt{(-8)^2-4(1)(7)} }{2(1)}\\\\=\dfrac{8\pm \sqrt{64-28}}{2}\\\\=\dfrac{8\pm 6}{2}\\\\=\dfrac{8+6}{2},\dfrac{8-6}{2}\\\\=7,1[/tex]

So, the values of x are x = 1 and x = 7.

Answer:

18.45

Step-by-step explanation:

Answer:

452.16

Step-by-step explanation:

A = (3.14)r^2

A=(3.14)12^2

A=452.16

Answer:

530.66 cm

Step-by-step explanation:

A= π r 2

input known values

A= (3.14) (13^2)

Simplify

A= (3.14) 169

A= 530.66

Answer:

4/25 maybe?

Step-by-step explanation:

Answer:

25.1333 per second

Step-by-step explanation:

1508 per min

Answer:

96

Once again, apologies for the chicken scratch

Answer:

$96

Step-by-step explanation:

→ Work out the discount multiplier

( 100 - 20 ) ÷ 100 = 0.8

→ Multiply answer by price

0.8 × 120 = $96

Answer:

4 hours

Step-by-step explanation:

There is a 2.3% chance that 30% or more of a sample of 300 American adults say they are not at all confident that the records of their activity maintained by credit card companies will remain private and secure if 25% of Americans are not at all confident this year. Answer:

Step-by-step explanation:

The null hypothesis is “the percentage of American adults say they are not at all confident that the records of their activity maintained by credit card companies will remain private and secure is 25%. If this is true, there is a 2.3% chance that a sample of 300 American adults will have 30% or more who say they are not at all confident.

Answer:

a) 8.2 in^3 b) 25.8 in^3 c) 17.6 in^3

Step-by-step explanation:

volume of cone=(1/3)π(r^2)*h

a) 8.2 in^3

regular ice cream cone=(1/3)π(1.25^2)*5=8.18=8.2 in^3

b) 25.8 in^3

waffle cone=(1/3)π(1.875^2)*7=25.77=25.8 in^3

c) 17.6 in^3

waffle cone-regular ice cream cone= 25.8-8.2=17.6 in^3

Answer:

Step-by-step explanation:

Given,

Dimensions of the fence = 18 ft and 14 ft

Then x ft is increased in both dimensions ,

New dimensions of the fence = (18 + x)ft and (14 + x)ft

Therefore,

Perimeter of the fence = 2 ( l + b)

= 2 l + 2 b

= 2(18 + x) + 2(14 + x) (Ans)

Hence,

Option C is correct.

m = 0 , b = - 1+6cos (39)...

9514 1404 393

Answer:

  11. inconsistent information

  12. 26°

Step-by-step explanation:

11. The given numbers are inconsistent. (The first attachment shows one of the 4 possible solutions.)

__

12. In order to find angle C, we need to know side AC. We can find that using the Law of Cosines.

  b = √(a² +c² -2ac·cos(B)) = √(19² +15² -2(19)(15)cos(120°)) = √871

  b ≈ 29.513

Then angle C is found from the Law of Sines.

  C = arcsin(c/b·sin(B)) = arcsin(15/29.513·sin(120°)) ≈ 26.11°

Angle C is about 26°.

The second attachment shows the output of a triangle solver.

Answer:

Ending Amount = beginning amount / 2^n  where "n" is the number of half-lives or elapsed time / half-life

For this problem "n" = 25 / 11 = 2.2727272727

Ending Amount = 60 grams / 2^2.2727272

Ending Amount = 60 / 4.832357534

Ending Amount = 12.4162998242 grams

Source: www.1728.org/halflife.htm

Step-by-step explanation:

A radionuclide is a nuclide with excessive nuclear energy, which makes it unstable. The element would remain after 25 years, to the nearest whole number is 2 grams.

A radionuclide is a nuclide with excessive nuclear energy, which makes it unstable. This surplus energy can be discharged as gamma radiation from the nucleus, transferred to one of its electrons and released as a conversion electron, or used to generate and produce a new particle from the nucleus.

Given the life of radioactive material is stated by the formula,

[tex]N_t = N_o e^{-\lambda t}[/tex]

Now, given the half-life of the comes in 11 years, therefore, the rate of decay will be,

[tex]N_t = N_o e^{-\lambda t}\\\\\dfrac{N_t}{ N_o }=e^{-\lambda t}\\\\0.5 = e^{-\lambda \times 11}\\\\\dfrac{ln(0.5)}{11}=\lambda[/tex]

λ = 0.14631

Given the initial mass is 60 grams, therefore, the amount that will be remaining after 25 years will be,

[tex]N_{25} = 60 \times e^{(-0.14631\times 25)}\\\\N = 1.5474\rm\ grams \approx 2\ grams[/tex]

Hence, the element would remain after 25 years, to the nearest whole number is 2 grams.

Learn more about Radioactive Isotopes:

https://brainly.com/question/1907960

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Answer:

UwU your welcome!

Step-by-step explanation:

Convert the mixed fractions to a decimal. 2 1/4 is 2.25 1 2/4 is 1.5 2. Add them up. 3. 3.75 as a decimal or 3 3/4 as a mixed fraction or 15/4 as a improper fraction.

Answer:

51/100

Step-by-step explanation:

Answer:

10.2

Step-by-step explanation:

Answer:10.2

Step-by-step explanation:

Answer:

25%

Explanation:

the profit made by the shopkeeper would be the difference between the selling price and cost price, which can be found using the equation $15 - $12 = $3.

now, we can find the profit percent using the difference ($3) and the cost price ($12):

$3 ÷ $12 × 100% = 25% (since $3 is 25% of $12, so the $3 increase in price is a 25% increase)

i hope this helps! :D

The volume of figure B that is similar to figure A is: 44 cu. ft.

If the volumes of two figures are A and B respectively, and their radius is a and b respectively, then, Volume of A/volume of B = a³/b³.

Given that figures A and B are similar, we would have the following ratio:

352/volume of B = 4³/2³

352/volume of B = 64/8

352/volume of B = 8

Volume of B = 352/8

Volume of B = 44 cu. ft.

Learn more about the volume of similar figures on:

https://brainly.com/question/4315286

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Answer:

-79

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Answer: 9

Step-by-step explanation: because 3/4 of an hour is 45 minutes and 45/5 is 9 and it’s in 5 min segments that’s why you divide 45 by 5

sorry for the first one i read the question wrong

9514 1404 393

Answer:

  56 feet

Step-by-step explanation:

Let x represent the height of the pole. Then the distance to the anchor point is (x-23), and the length of the wire is (x+9). The Pythagorean theorem tells you the relation between these values is ...

  (x+9)² = x² +(x -23)²

  0 = x² -64x +448 . . . . . subtract the left side, put in standard form

  0 = (x -8)(x -56) . . . . . . factor

The solutions to the quadratic are x=8 and x=56. For our purposes, we require x > 23 so the distances are positive. That means x=56 is the solution of interest.

The pole is 56 feet tall.

Answer:

11/12

Step-by-step explanation:

5/4 ---- 15/12

1/3------ 4/12

11/12

Answer:

11/12

Step-by-step explanation:

Hello! The answer to this question is 11/12. In this case, we want to make the denominator the same. To make the denominator the same we need to find the lowest common multiple. In this case the lowest common multiple is 12, (because 12 is the smallest number that 3 and 4 are both factors for.) 4x3=12 so now the denominator in 5/4 is 12 but whatever we do the bottom we do to the top. So since we multiplied the bottom (denominator) by 3 we have to multiply the top (numerator) by 3 as well. 5x3=15. Therefore, we now changed 5/4 to 15/12. Now, we have to do the same to the 1/3. 3x4= 12. 1x4=4. Now we have the two numbers, 15/12 and 4/12. 15/12-4/12=11/12! Therefore, your answer is 11/12. Hope this explanation helps! Happy learning!

Answer:

40 square meters

Step-by-step explanation:

Perimeter means to add up all sides.

area means one side times one side

10 times 10 makes 100 so i am guessing each side is 10

10 + 10 + 10 + 10 = 40

The calculated quadratic function for the height of the rocket is "[tex]h = 64t - 16.085t^2[/tex]" and the further calculation of the given points can be defined as follows:

For point A):

Rocket Initial velocity (u) [tex]= 64 \ \frac{feet}{sec}[/tex]

Considering gravity's acceleration of 32.17 feet/sec2

The rocket's height can be expressed as follows:

[tex]h = ut - \frac{1}{2} \times 32.17 \times t^2 \\\\h = 64 - 16.085 \times t^2 \\\\h = 64t - 16.085t^2[/tex]

For point B):

A y-axis indicates its rocket's height in feet, whereas the x-axis represents the duration in seconds.

Please find the attached file.

For point C):

Find out more information about the velocity here:

brainly.com/question/25749514

Answer:

138.0700636942675[tex]\pi[/tex]

Step-by-step explanation: