Directions - Find the sector areas of both the grey and white areas:
*Use 3.14 in place of
285⁰
8 in

in²
in
(round to two decimal places)
(round to two decimal places)
E

Answer:

4

Step-by-step explanation:

\( \frac{(2 {)}^{3}(2 {)}^{4} }{(2 {)}^{5} } \)

→\( {2}^{3 + 4 + 5} \)

→\( {2}^{2} = 4\)

Answer:

(A) Mean

(B)  Mean

(C) Mode

Hope this helps!

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The simple radical form is 72√2.

What is simple radical form?

If we know the prime factorization of 32, we can write the simplest radical form of the square root of 32. Thus, the prime factorization of 32 is 2 × 2 × 2 × 2 × 2. If it is written in the radical form, then the simplest radical form of the square root of 32 is 4√2. Square Root of 32 in Radical Form: 4√2.

Given,

3√2•2√8•√3•√6

= 3×√2×2×√8×√3×√6

as we know √ab = √a√b

we can write, √8 = √2√4 and √6 =√2√3

we get,

=3×√2×√2×√4×√3×√3×√2

=3×2×2×3×√2

=72√2

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Answer:

I'm pretty sure the answer is 48 feet.

Step-by-step explanation:

It can't be any of the negative answers since the question didn't start with a negative number, and it can't be 14 feet since he started with 15 feet, so it has to be 48 feet.

43.131

/\

|

This is the tenths spot.

40.000 or 40

Answer:

Student ticket: $2

Adult ticket: $5

Step-by-step explanation:

1. Setting up the system of equations

let x be the cost for a child

let y be the cost for an adult

For the monday, that would be:

33x + 42y = 276

For the tuesday, you ahve

46x + 40y = 292

2. Solving

First, simplify each equation

33x + 42y = 276

To get all the numbers smaller divide both sides by 3

11x + 14y = 92

Do the same for the other equation:

46x + 40y = 292

divide both sides by 2

23x + 20y = 146

You want to use elimination, so take the equation 11x + 14y = 92 and multiply both sides by 10

110x + 140y = 920

Take the equation 23x + 20y = 146 and multiply both sides by 7

161x + 140y = 1022

Subtract the two equations:

110x + 140y = 920

- (161x + 140y = 1022)

-51x = -102

divide both sides by -51

x = 2

Plug this into the original equation, 11x + 14y = 92:

11 * 2 + 14y = 92

22 + 14y = 92

subtract 22 from both sides

14y = 70

divide both sides by 14

y = 5

So the cost of a student ticket is $2 and the cost of an adult ticket is $5

Answer:

0.6267

Step-by-step explanation:

See the picture.

Hope its clear.

Given:

The horizontal component of velocity is 5 ft/s.

To find the rate of change,

So, the rate of chnage of elevation is -2 ft/s.

That means decreasing by 2 ft/s.

Using proportions, the amounts are given as follows:

A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using operations such as multiplication or division.

One example of application is for percentage problems, as the equivalent amount can be found multiplying the equivalent decimal by the total amount.

The amount of Federal Income Tax Withholding each month is given by:

0.2 x 3500 = $700.

The amount of State Income Tax Withholding each month is given by:

0.12 x 3500 = $420.

The amount of Social Security Tax Withholding each month is given by:

0.0825 x 3500 = $288.75.

The amount contributed to the 401k each month is:

0.04 x 3500 = $140.

The take-home pay for the month is the $3,5500 subtracted by all the with holdings, hence:

3500 - (700 + 420 + 288.75 + 140) = $1,951.25.

A year has 12 months, hence the take-home pay for the year is given by:

12 x 1951.25 = $23,415.

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A Sinusoid is a cyclic function. The equation of the sinusoid shown in the graph is y=2Cos(2πx/3).

The general equation of the sinusoid shown is given by the following equation,

\(y = a\ \cos\left(\frac{2\pi x}{b}\right)\)

where a is the amplitude of the graph, and b is the length of a complete cycle.

In the given graph the amplitude of the function is 2, while the length of the cycle is (2π/3). Therefore, The equation of the sinusoid shown in the graph can be written as,

\(y = 2 \cos\left(\dfrac{2\pi x}{3}\right)\)

Hence, the equation of the sinusoid shown in the graph is y=2Cos(2πx/3).

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Answer:

C! y=2cos(3x)

Step-by-step explanation:

Number of countries would west Virginia be expected to have is  18 countries

The number of campgrounds that North Dakota has = 465 campgrounds

The number of countries = 12 countries

The number of campgrounds that West Virginia has = 711 campgrounds

Given that the North Dakota was proportional to West Virginia in the number of campgrounds to counties.

The proportion will be

465 / 12 = 711 / x

Divide the terms

38.75 = 711 / x

x = 711 / 38.75

Divide the terms

x = 18.4

x ≈ 18 countries

Hence, number of countries would west Virginia be expected to have is  18 countries

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Answer:

-8i + 51

Step-by-step explanation:

(3+5i)(2-9i)

6+10i-18i-45i²

**i² = -1.

6-8i + -45(-1)

= -8i + 51

Answer:

x^2

Step-by-step explanation:

1^2=1

2^2=4

3^2=9

We know that the area of a rectangle is given by the formula A = l × w, where A is the area, l is the length, and w is the width.

In this case, we are given that the width is 10 meters and the area is 150 square meters. So, we can plug in these values into the formula to find the length:

150 = l × 10

Dividing both sides by 10, we get:

15 = l

Therefore, the length of the rectangle is 15 meters.

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Answer:

y= -x²-4x+2

Step-by-step explanation:

write in vertex form

a(x-h)²+k

in our case h = -2 and k= 6

y=a(x+2)²+6

now we just need to solve for a. we know that when x= 1 y = -3. plug these values in and solve for a

-3= a(1+2)²+6

-9=9a

a= -1

thus the formula is -(x+2)²+6

generally, teachers want things in standard form, so expand the exponent and simplify.

-(x²+4x+4)+6

y= -x²-4x+2

Answer:

\(y = -x^2 - 4x + 2\)

Step-by-step explanation:

The equation of a parabola in vertex form is:

\(y = a(x - h)^2 + k\)

where (h, k) is the vertex of the parabola.

In this case, the vertex is (-2, 6), so h = -2 and k = 6.

We also know that the parabola passes through the point (1, -3).

Plugging these values into the equation, we get:

\(-3 = a(1 - (-2))^2 + 6\)

\(-3 = a(3)^2 + 6\)

-9 = 9a

a = -1

Substituting a = -1 into the equation for a parabola in vertex form, we get the equation of the parabola:

\(y = -1(x + 2)^2 + 6\)

This equation can also be written as:

\(y = -x^2 - 4x -4+6\\y=x^2-4x+2\)

The shaded region of the rectangle is 242.9 cm² and the shaded region of the sector is 7.1 square units.

Question 17) is a figure of a rectangle and two inscribed circles.

The area of a rectangle is expressed as: A = length × width

The area of a circle is expressed as: A = πr²

Where r is the radius.

To determine the area of the shaded region, we simply subtract the areas of the two circles from the area of the rectangle.

Area = ( Length × width ) - 2( πr² )

Area = ( 40 × 10 ) - 2( π × 5² )

Area = ( 400 ) - 2( 25π )

Area = 400- 50π

Area = 242.9 cm²

Area of the shaded region is 242.9 squared centimeters.

Question 18) is the a figure a sector of a circle and a right triangle.

The area of a sector is expressed as: A = (θ/360º) × πr²

The area of a triangle  is expressed as: A = 1/2 × base × height

To determine the area of the shaded region, we simply subtract the areas of the triangle from the area of the sector.

Hence:

Area = ( (θ/360º) × πr² ) - ( 1/2 × base × height )

Plug in the values:

Area = ( (90/360º) × π × 5² ) - ( 1/2 × 5 × 5 )

Area = 25π/4 - 12.5

Area = 7.1

Therefore, the area of the shaded region is 7.1 square units.

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Probability that exactly 10 flights arrive on time is 53.33%.

Given that,

The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation.

Recently, Southwest Air had the best rate with 80% of its flights arriving on time.

Total number flights in sample = 15

Probability that exactly 10 flights arrive on time is,

P = 10/15 × 80%

  = 0.5333

  = 53.33%

Hence the required probability is 53.33%.

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Answer:

2 dogs

Step-by-step explanation:

10-4+3-7

6-4

2

Answer: 2 dogs

Step-by-step explanation:

QUESTION WHO KILLS AND EATS DOGS?????

The Answer is:

Answer:

55

Step-by-step explanation:

7 x 10 = 70

4 x 10 = 40

70 + 40 = 110

110 / 2 = 55

Answer: A

Step-by-step explanation:

Using pythagoras;

\(25 = \sqrt{7^{2}+ x^{2} }\\25^{2}=7^{2} +x^{2} \\625 = 49 +x^{2} \\576 = x^{2} \\x = 24\)

Please give me a brainliest answer

Answer:

Step-by-step explanation:

The Pythagoras theorem formula states that in a right triangle ABC, the square of the hypotenuse is equal to the sum of the square of the other two legs. If AB, BC, and AC are the sides of the triangle, then: BC2 = AB2 + AC2​. While if a, b, and c are the sides of the triangle, then ​c2 = a2 + b2.

√(25²-7²) =

√(625-49)=

√576=

24

Check the picture below, so the lines look more or less like so, so the shape that we'll be getting will be the shape of a bowl with a hole in it, thus we'll use the washer method.

the way I use to get the larger Radius is simply using the "area under the curve" method, namely f(x) - g(x), where g(x) in this case is the axis of rotation.

so to get "R" and "r" we can get it by

\(\stackrel{y = 1}{(1)}~~ - ~~\stackrel{\stackrel{\textit{axis of rotation}}{y = -3}}{(-3)}\implies 1+3\implies \stackrel{R}{4} \\\\\\ \stackrel{y = \ln(x)}{\ln(x)}~~ - ~~\stackrel{\stackrel{\textit{axis of rotation}}{y = -3}}{(-3)}\implies \stackrel{r}{ln(x)+3} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{R^2}{(4)^2}~~ - ~~\stackrel{r^2}{[\ln(x)+3]^2}\implies 16~~ - ~~[\ln^2(x)+6\ln(x)+9] \\\\\\ \ln^2(x)+6\ln(x)+7~\hfill \boxed{\displaystyle\int~[\ln^2(x)+6\ln(x)+7]dx}\)

Answer:

Domain = (-∞,∞)

the solution is: \(w < -5\) . Since all real numbers are either less than or greater than  \(-5\) , the solution set for this inequality is "All reals".

To solve for w in  \(w + 19 < 14\)  , we need to isolate w on one side of the inequality.

This means that any value of w that is less than   \(-5\) would make the inequality true.

For example,    \(w = -6\) is a solution because   \(-6 + 19 < 14.\) Likewise, any value of w that is greater than or equal to -5 would make the inequality false. For example,   \(w = -5\) is not a solution because  \(-5 + 19 = 14\)  .

Subtracting 19 from both sides of the inequality, we get:

\(w + 19 - 19 < 14 - 19\)

\(w < -5\)

Therefore, the solution is:  \(w < -5\) . Since all real numbers are either less than or greater than   \(-5\) , the solution set for this inequality is "All reals".

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To find the external angle:-

At first we need to find the value of x.

We use the defnition, the angle of a straight line is 180 degree and since the equation of outer angle is (6x-7) the inner angle becomes 180 - (6x-7).

The diagram is,

So now we use the defnition the sum of three angles inside a triangle is 180 degree. so we get,

By furthur simplifying we get the value of x,

So the value of x is 22.

Subsituting the value of x in the equation ( 6x-7 ). we get the required angle value.

So the required angle value is 125 degree.

If only 2,836 students were admitted into the Ateneo among 27,813 students, who took the ACET this year, the Ateneo’s acceptance rate is b. 10.2%.

The rate is the ratio of one value, expression, measurement, or quantity compared to another.

The rate represents the quotient of the numerator and the denominator.

The rate is expressed as a percentage by multiplication with 100.

The number of students who took the ACET this year = 27,813

The number of students who were admitted into the Ateneo = 2,836

The percentage or rate admitted = 10.19667% (2,836 ÷ 27,813 × 100)

= 10.2%

Thus, we can conclude that the acceptance rate or percentage is Option B.

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Answer:

0 liters

Step-by-step explanation:

The first step in solving this problem is to find the volume of water that was originally in the tank when it was filled up to of its height. Since the tank is rectangular, we can use the formula for the volume of a rectangular prism:

Volume of tank = length x width x height = 100 cm x 80 cm x 30 cm = 240,000 cm³

Since the tank was filled up to of its height, the volume of water in the tank at this point is:

Volume of water in tank = 100 cm x 80 cm x 30 cm x 0.5 = 1,200,000 cm³

To find the amount of water that was poured into the tank to fill it up to 3 of its height, we need to subtract the volume of water that was originally in the tank from the total volume of water when it is 3 filled, which is 384 liters or 384,000 cm³ (since 1 liter = 1000 cm³):

Volume of water poured into tank = Volume of water when 3 filled - Volume of water in tank at of its height

= 384,000 cm³ - 1,200,000 cm³

= -816,000 cm³

Wait a minute, this result is negative, which means there was no water poured into the tank to reach the 3 filled level. In fact, it suggests that there was an excess of water that had to be removed from the tank to reach the desired level. This could be because the dimensions of the tank were not exact or because the tank was not level when filled to the first level.

Therefore, the answer to the problem is 0 liters or 0 cm³.

Note: It is important to always check the result of a calculation to ensure it makes sense in the context of the problem. In this case, the negative volume of water poured into the tank indicates that there may be an error in the problem statement or in the measurements provided.

Answer: yes

Step-by-step explanation:

\(\frac{7}{8} -\frac{1}{5} \\\\frac{35}{40}-\frac{8}{40} \\\frac{27}{40}\)