Pls help! Geometry
What is the perimeter and area of the shape above?

Answer:

62 meters

Step-by-step explanation:

So the area of a rectangle can be defined as: [tex]A = wl[/tex] where A=area, w=width, l=length. So if we plug in the known values we can solve for the unknown, which in this case is the width. So let's plug in the known values:

[tex]2356 m^2 = 38 m * w[/tex]

Divide both sides by 38 m

[tex]62 m = w[/tex]

Using the z-distribution, the 95% confidence interval for the population proportion is (0.5791, 0.7133).

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

The other parameters are given as follows:

[tex]n = 195, \overline{p} = \frac{126}{195} = 0.6462[/tex]

Hence the bounds of the interval are:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6462 - 1.96\sqrt{\frac{0.6462(0.3538)}{195}} = 0.5791[/tex]

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6462 + 1.96\sqrt{\frac{0.6462(0.3538)}{195}} = 0.7133[/tex]

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Step-by-step explanation:

rules of the logarithm :

e.g.

log(a×b) = log(a) + log(b)

log10(9) = log10(3×3) = log10(3) + log10(3) =

= 0.4771 + 0.4771 = 0.9542

log10(49) = log10(7×7) = log10(7) + log10(7) =

= 0.8451 + 0.8451 = 1.6902

Answer:

C.) 85

Explanation:

Given following:

While solving these function questions, go from right to left.

Steps:

The graph of [tex]y = 2 - \sqrt x[/tex] is (c) a curved line that passes through points (0,2) and (3,0.3)

The function is given as:

[tex]y = 2 - \sqrt x[/tex]

The above function is a square root function.

This means that the domain is [tex]x \ge 0[/tex]

The domain implies that options (a) and (b) are false, because they include negative x values

For option (c); set x= 0 and 3

[tex]y = 2 - \sqrt 0 = 2[/tex]

[tex]y = 2 - \sqrt 3 = 0.3[/tex]

This means that the graph of [tex]y = 2 - \sqrt x[/tex] is a curved line that passes through points (0,2) and (3,0.3)

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The triangles will be congruent by SAS if x = 25 , Option C is the correct answer.

A triangle is a polygon with three sides , angles and vertices.

Two triangles are given , in the figure

They have an angle equal to each other ,

For the Triangle to be congruent by SAS , two sides of the triangles must be proportional along with the angle included must be equal.

The two sides will become proportional when x = ?

8/10 = 20 /x

On solving this

x = 25 ,

Therefore the triangles will be congruent by SAS if x = 25.

The complete question is

What value of x will make △ONM similar to △SRQ by the SAS similarity theorem?

A) 16

B) 20

C) 25

D) 50

The figure is attached with the answer.

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Answer:

Step-by-step explanation:

Answer

When you translate either left or right, the x coordinate is the one that you change. To go right when you are dealing with a point, you must add the amount you are asked to go right.  So when you go right 3 units, add 3 to the 5.

(5 + 3,1) = (8,1)

when going across the y axis, you are still only changing the x coordinate.

All you need do is put a minus sign in front of the  x coordinate. So your final answer is (-8,1)

Answer:

C

Step-by-step explanation:

The formula for the equation of a circle is [tex](x-a)^2+(y-b)^2=r^2[/tex].

Since the center of this circle is (0,0) and the radius is 4, the equation will be [tex]x^2+y^2=4^2[/tex]

Have a nice day!

A bisector is the required line that divides a given line or an angle into two equal parts. The required construction of the bisectors is shown in the attachment to this answer.

Bisection is the process in which a given line or angle is divided into two equal parts by constructing the required bisector. Thus the steps to bisect the given arcs are stated below:

For figure 1:

For figure 2:

For figure 3:

For figure 4:

NB: The point of intersection of the bisectors in relation to arc AC is the radius of the given arc.

The required constructions are attached to this answer.

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The simplification form of the provided expression is 560v¹¹u⁴ after using the property of the exponent.

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

The complete question is:

How do you simplify:

[tex]\rm 7v^3\cdot \:10u^3v^5\cdot \:8uv^3[/tex]

By using the property of the integer exponent:

[tex]\rm =560v^3u^3v^5uv^3[/tex]

[tex]\rm =560v^{11}u^4[/tex]

or

= 560v¹¹u⁴

Thus, the simplification form of the provided expression is 560v¹¹u⁴ after using the property of the exponent.

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Answer:

  ending balance = $623.02

Step-by-step explanation:

Amounts you spend get subtracted from your bank balance. Amounts you earn get added.

Your ending balance is ...

  ending balance = beginning balance - expenses + earnings

  ending balance = $1250.33 -(184.59 +654.50 +112.11) +323.89

  ending balance = $623.02

Answer:

3÷8

=37.5%

$704x37.5%

=$264

ANSWER D

Answer:

(-1,1) (-4,1) (-4,3)

Step-by-step explanation:

literally mirror shape A to the y-axis

the original cordinates:

(1,1) (4,1) (4,3)

would now be

(-1,1) (-4,1) (-4,3) because it's reflected

Answer:

B, C, E

Step-by-step explanation:

Answer:

B,C,E

Step-by-step explanation:

The equation tells you that .4 is the slope (which is the rate of change). So B and C are both correct, if we look at E, we can put it on a graph and check if it is!

The Volume of the composite figure = Volume of the rectangular prism + Volume of the square pyramid = 4,050 ft³.

The composite figure shown is composed of a square pyramid and a rectangular prism. To find the volume of the composite figure, find the volume of the square pyramid and the volume of the rectangular prims respectively.

Volume of the square pyramid = 1/3(B)(h), where:

Base area (B) = (l)(w) = (15)(15)

Base area (B) = (l)(w) = 225 ft³.

h = 9 ft

Volume of the square pyramid = 1/3(225)(9)

Volume of the square pyramid = 675 ft³.

Volume of the rectangular prism = (length)(width)(height)

Volume of the rectangular prism = (15)(15)(15)

Volume of the rectangular prism = 3,375 ft³.

The Volume of the composite figure = Volume of the rectangular prism + Volume of the square pyramid

The Volume of the composite figure = 3,375 + 675

The Volume of the composite figure = 4,050 ft³.

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For Rob Herndon to achieve his goal of paying off $430,000 in 10 years, he needs to make $34,186.97 at 5% compounded annually.

A future value refers to a value on a future date based on an assumed growth rate of interest over some period.

The future value can be determined using the FV formula or table.

We can also compute the future value using an online finance calculator as follows:

N (# of periods) = 10 years

I/Y (Interest per year) = 5%

PV (Present Value) = $0

FV (Future Value) = $430,000

Results:

PMT = $34,186.97

Sum of all periodic payments = $341,869.70

Total Interest= $88,130.30

Thus, for Rob Herndon to achieve his goal of paying off $430,000 in 10 years, he needs to make $34,186.97 at 5% compounded annually.

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Benefits 1 and 2 in the 'Pros and Cons of Patents' significantly throws light on the opportunity of owning a market, and securing funds respectively.

What is the primary importance of benefits 1 and 2?

Benefit 1 of 'Pros and Cons of Patents' is about the possibility of owning a market.

Since the US government will protect your creation for 20 years, you will essentially control the market for that product during that time. For instance, Eli Lilly invented Prozac in 1987 and had the monopoly for 14 years until 2001.

Benefit 2 of 'Pros and Cons of Patents' concerns around attracting and accumulating the sources of funding and investors.

If an invention is not protected, no one will put their money at risk The only way an invention can ensure a return is through patent protection since investors don't care about good intentions; they only care about money.

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Answer:

According to the article, patents allow inventors to “own the market” for their ideas, meaning the US government has deemed the idea original and protected the idea from being reproduced by others for 20 years. This makes the idea more marketable, which allows the inventor to attract investors. These benefits support the idea that patents promote invention.

Step-by-step explanation: edmentum sample answer

Answer:

A = 120

Step-by-step explanation:

To find angle A we will need to use the law of cosines, since we know the three sides of the triangle.

a^2=b^2+c^2−2*b*c*cosA

(2 sqrt(13)) ^2 = 6^2 + 2^2  + 2 * 6 * 2 cos A

4*13 = 36 + 4 - 24 cos A

52 = 40- 24 cos A

12 = -24 cos A

-1/2 = cos A

Take the inverse cos of each side

cos^-1(-1/2) = cos^-1(cos A)

120 = Cos A  or 240 = Cos A

A cannot be greater than 180 so A = 120

Answer:

A = 120°

Step-by-step explanation:

We can use the cosine rule to solve for angle A, since lengths of all sides are known:

[tex]a^2 = b^2+ c^2 - 2(b)(c) \space\ cos A[/tex]

where a, b, and c are the sides opposites angles A, B, and C respectively.

∴ a = 2√3 , b = 6, c = 2

• Rearranging the formula to make A the subject:

[tex]2(b)(c) \space\ cos A = b^2 + c^2 -a^2[/tex]

⇒  [tex]cos A = \frac{b^2 + c^2 -a^2}{2(b)(c)}[/tex]

⇒  [tex]A = cos^{-1}(\frac{b^2 + c^2 -a^2}{2(b)(c)} )[/tex]

• Now we can substitute the values into the equation to calculate the value of angle A:

[tex]A = cos^{-1}(\frac{6^2 + 2^2 -(2\sqrt{13})^2}{2(6)(2)} )[/tex]

⇒  [tex]A = cos^{-1} (-\frac{1}{2} )[/tex]

⇒  A = 120°

Answer:

32 different ways.

Step-by-step explanation:

There are 2 combinations for each question, and there are 5 questions. Therefore there are [tex]2\times2\times2\times2\times2[/tex] = 32 different ways the student could do the exam.

Have a nice day!

Answer:

h = 2.4

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h  where r is the radius and h is the height

271.4 = pi ( 6)^2 *h

271.4 = 36* pi* h

Letting 3.14 = pi

271.4 = 113.04 h

Divide each side by 113.04

271.4 /113.04 = 113.04h/113.04

2.424805379 = h

Rounding to the nearest tenth

2.4 = h

OR if we use the pi button

271.4 = 36 * pi *h

Divide each side by 36 pi

271.4/36pi = h

h=2.3997

Rounding to the nearest tenth

h =2.4

The price per roll for Lidal and Oldi shop is 0.35 and 0.36 respectively.

Therefore Lidal shop is the best value for money.

Given,

Lidal shop:

8 rolls costs  2.80

∴ one roll costs = 2.80/8

                        = 0.35

Oldi shop:

9 rolls costs 3.24

∴ one roll costs = 3.24/9

                        = 0.36

Hence we get the per price for the shops as 0.35 and 0.36

we can see that for lidal shop if per roll it is 0.35 then if a person wants to buy 9 rolls then it will cost him 3.15, whereas in the case of oldi shop the price for 9 rolls is 3.24.Therefore, lidal shop is the best value for money.

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The rewritten form of the expression as a single logarithm is; log {(x+3)²(x-2)^5}/(x-7)³(x²).

The expression given in the task content can be rewritten as a single logarithm by virtue of the laws of logarithms as follows;

2log(x+3)-3log(x-7)+5log(x-2)-log(x^2)

= log(x+3)² - log(x-7)³ +log(x-2)^5-log(x^2)

= log {(x+3)²(x-2)^5}/(x-7)³(x²)

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[tex]y=10^x+6\\10^x=y-6\\x=\log_{10}(y-6)\\\\f^{-1}(x)=\log_{10}(x-6)[/tex]

Answer:

the location of point G would be at G(-3,6)

Step-by-step explanation:

x=4

so 4-7 =-4

and y=3

so 3+3= 6

therefore, (x-7,y+3) = (-3,6)

Using proportions, it is found that:

a) He has 24 videogames left.

b - I) He kept 15 videogames for himself.

b - II) The selling price of a videogame was of $800.

c) He received $15,200 from the sale of the videogames.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Item a:

He has 3/5 of 40 videogames left, hence:

3/5 x 40 = 3 x 8 = 24.

He has 24 videogames left.

Item b:

He kept 5/8 of the 24 videogames, hence:

5/8 x 24 = 5 x 3 = 15.

He kept 15 videogames for himself.

He also sold 9 videogames for $7,200, hence the selling price of one of them is:

7200/9 = $800.

Item c:

Earned $7,200 plus 500 for 16, hence:

T = 7200 + 500 x 16 = $15,200.

He received $15,200 from the sale of the videogames.

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Answer:

350$ for dryer

Step-by-step explanation:

x = cost of dryer
x + 50 = cost of washer

750 = x + (x + 50)
750 = 2x + 50
700 = 2x
350 = x

Using a linear function, it is found that he drove the truck for 240 miles.

A linear function is modeled by:

y = mx + b

In which:

Researching the problem on the internet, there was a base fee of $18.99, which is the y-intercept, and there was an additional charge of 75 cents for each mile driven, which is the slope, hence the cost function for m miles driven is given by:

C(m) = 18.99 + 0.75m.

He paid $199, hence the number of miles he drove is found as follows:

C(m) = 18.99 + 0.75m.

199 = 18.99 + 0.75m

m = (199 - 18.99)/0.75

m = 240 miles.

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The underlined place is tenths.

Rounding off o the tenth place = 75.7.

The tenths of a number is the first digit after a decimal point. To round off a number to the nearest tenth, if the number next to the tenth digit is not up to 5, let it be assumed as 0.

The underlined place is the tenths. Rounding 75.733 to the nearest tenth would give us: 75.7. This is because the next digit close to 7 is 3. It is not up to 5.

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Answer:

fraction form: 7/25

Decimal form: 0.28

Step-by-step explanation: