Find the arc length and area of a sector with radius R =60 inches and central angle equals 30° round your answer to the nearest hundredth

Answer:

50

Step-by-step explanation:

7,750÷155=50

Answer:

x=2

Step-by-step explanation:

x2

x

+−3=x+x+−5

Multiply all terms by x and cancel:

x2+−3x=xx+xx+−5x

x2−3x=2x2−5x(Simplify both sides of the equation)

x2−3x−(2x2−5x)=2x2−5x−(2x2−5x)(Subtract 2x^2-5x from both sides)

−x2+2x=0

x(−x+2)=0(Factor left side of equation)

x=0 or −x+2=0(Set factors equal to 0)

x=0 or x=2

Check answers. (Plug them in to make sure they work.)

x=0(Doesn't work in original equation)

x=2(Works in original equation)

Answer:

x=2

Answer:

A) 427 × 3 = 400 × 3 + 20 × 3 + 7 × 3

Step-by-step explanation:

\(427*3=(400+20+7)*3=(400*3)+(20*3)+(7*3)\)

Therefore, the first option is correct

To simplify the expression \(\displaystyle\sf 5x-3(-5y+6x)+4y\), we can follow the order of operations, which involves simplifying the expressions within parentheses, applying the distributive property, and combining like terms.

Using \(\displaystyle\sf \) tags for formatting, the expression becomes:

\(\displaystyle\sf 5x-3(-5y+6x)+4y\)

First, we simplify the expression within the parentheses:

\(\displaystyle\sf 5x-3(-5y+6x)+4y\)

\(\displaystyle\sf 5x+15y-18x+4y\)

Next, we can combine the like terms:

\(\displaystyle\sf 5x-18x+15y+4y\)

\(\displaystyle\sf -13x+19y\)

Therefore, the simplified expression is \(\displaystyle\sf -13x+19y\).

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The given functions are

To find (fog)(x), we would substitute x = g(x) into f(x). We have

To find the domain of (fog)(x), we would write the value inside the square root as an inequality that is greater than or equal to zero and solve for x. We have

- x + 6 ≥ 0

- x ≥ - 6

Dividing both sides of the inequality by - 1, we have

x ≤ 6

We would exclude any value greater than 6 from the domain. Thus,

Domain = (- infinity, 6]

To find (gof)x), we would substitute x = f(x) = 4x - 1 into g(x). We have

To find the domain, we have

- 4x + 7 ≥ 0

- 4x ≥ - 7

Dividing both sides of the inequality by - 4, we have

x ≤ 7/4

We would exclude any value greater than 7/4 from the domain. Thus,

Let the width be x cm.

Since the length is twice the width, therefore, its length is 2x cm.

The area of the rectangle is

Accordingly,

Since width of the rectangle can't be negative,

therefore, its width is 5 cm and length is 10 cm.

Answer:

b is the answer am not sure you know

Answer:

a) 3/10

b)3/10

Step-by-step explanation:

let the sample of people be 10

so,

a) total outcome=10

favourable outcome=3

P(seeing a UFO)= 3/10

b) total outcome=10

favourable outcome=2 or 3

P(seeing a UFO)= 2/10+3/10-(2/10

5/10-2/10

=3/10

\(17\frac{1}{2}\) cups of flour we need to make three of each cake.

A fraction represents a part of a whole.

Given that the first recipe calls for 2 1/2 cups of flour and the second one calls for 3 1/3 cups of flour.

We need to make three of each cakes.

\(2\frac{1}{2}\) cups x 3 = \(7\frac{1}{2}\) cups of flour for the first recipe.

And for the second recipe \(3\frac{1}{3}\) cups x 3 = 10 cups of flour.

So in total  \(7\frac{1}{2}\)  cups + 10 cups = \(17\frac{1}{2}\) cups of flour.

Hence,  \(17\frac{1}{2}\) cups of flour we need to make three of each cake.

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Sally's average annual percentage gain is approximately 5.26%.

To calculate Sally's average annual percentage gain, we can use the formula:

Average Annual Percentage Gain = (Profit / Initial Investment) * (1 / Time) * 100

Profit = $2500

Initial Investment = $19000

Time = 2.5 years

Substituting the values into the formula:

Average Annual Percentage Gain = (2500 / 19000) * (1 / 2.5) * 100

= (0.1316) * (0.4) * 100

= 5.26

Therefore, Sally's average annual percentage gain is approximately 5.26%.

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Answer:

Kindly check explanation

Step-by-step explanation:

________A___ B___ C___ Total

Male____ 9___13___ 6____ 28

Female_ 20__ 19___ 2____ 41

Total___ 29__ 32___ 8____ 69

If one student is chosen at random,

Find the probability that the student got a C:

P(getting C) = (number of C's) / total number

P(getting C) = 8 / 69

Find the probability that the student was female AND got a "C":

P(female and C):

(number of female who got C / total number)

= 2 / 69

Find the probability that the student was male OR got an "B":

P(male OR B) :

(Number of males or B) = (28 + 32) - 13 = 47

= 47 / 90

find the probability that the student got a 'C' GIVEN they are female:______.

P(C given they are female) :

This is the proportion of females who got C

Total Number of females = 41

Females who got C = 2

Hence,

P(C given they are female) = 2 / 41

Using the z-score values given, the area under the standard normal distribution curve is 0.123 squared units

The total area under the standard normal distribution curve is 1. Therefore, if we have a z-score, i.e., how far a value is above or below the mean, we can determine the probability of a value less than or greater than that.

The points are

A = z₂ - z₁

z₂ = 0.6230

z₁ = 0.5000

A = 0.6230 - 0.5000

A = 0.123 squared units

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The correct answer is the second option.

What is typing speed?

Typing speed is the measure of how many correct words are typed in a 60-second time frame.

The average typing speed is 40 words per minute or wpm.

Therefore the correct answer is the second option.

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Correct option is C, The typing speed is measured in words per minute.

The typical typing rate is 40 words per minute (wpm). Aim for a typing speed of 65 to 70 words per minute if you want to be really productive. With the appropriate approach, it's simple!

There are various typing tests available. This typing test measures your speed of typing in words per minute. Your WPM score will increase the more you practice typing and the more you measure your typing speed. Only WPM typing is the topic of certain online typing tests and typing test games. The WPM typing test has the drawback of simply teaching you how to type quickly. The WPM typing test does not demonstrate your accuracy.

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If a car consumes 110 liters of fuel with in a distance of 250 km, then the rate of fuel consumption is 2.5 km/liter

The distance travelled by the car with 110 liters of fuel = 250km

To find the rate of fuel consumption we have to apply the unitary method

The distance travelled by the car with 1 liters of fuel = The distance travelled by the car with 110 liters of fuel /110

Substitute the values in the equation

The distance travelled by the car with 1 liters of fuel = 250/110

= 2.5 km

So a car consumes 1 liters of fuel to cover 2.5 km

The rate of fuel consumption = 2.5 km/liter

Hence, if a car consumes 110 liters of fuel with in a distance of 250 km, then the rate of fuel consumption is 2.5 km/liter

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Converting to percentages from decimals is:

To convert decimals to percentages, you simply multiply the decimal by 100 and add a percentage sign.

Here's the step-by-step conversion for each decimal:

0.75

0.75 * 100 = 75

So, 0.75 = 75%

0.33

0.33 * 100 ≈ 33

So, 0.33 ≈ 33%

0.25

0.25 * 100 = 25

So, 0.25 = 25%

1.0

1.0 * 100 = 100

So, 1.0 = 100%

0.50

0.50 * 100 = 50

So, 0.50 = 50%

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Answer: Sorry meant to send this*

Step-by-step explanation:

Answer:

Step-by-step explanation:

40 x 1 = 40

20 x 2 = 40

10 x 4 = 40

8 x 5 = 40

The length of the entire base of isosceles triangle is BC = 24 inches

A triangle with two sides of equal length is an isosceles triangle. The isosceles triangle has three acute angles, meaning that the angles are less than 90°. The sum of three angles of an isosceles triangle is always 180°.

In an isosceles triangle, the two equal sides are called legs, and the remaining side is called the base. The angle opposite the base is called the vertex angle

The three types of Isosceles Triangles are :

Isosceles acute triangle

Isosceles right triangle

Isosceles obtuse triangle

Given data ,

Let the isosceles triangle be represented as ABC

Now , the height of the triangle is AD is h = 5 inches

The side measurement of the isosceles triangle is s = 13 inches

So , the triangle ADC is a right angled triangle

And , the side DC of the triangle from the Pythagorean theorem is

DC = √ ( 13 )² - ( 5 )²

DC = √ ( 169 - 25 )

DC = 12 inches

And , the base of the triangle is BD + DC = 12 + 12

So , the base of the triangle BC = 24 inches

Hence , the triangle is having a base of 24 inches

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Answer:

Line segments have two endpoints and a vertex is a common endpoint where two line segments meet.

Step-by-step explanation:

A line segment is defined as a portion of a line that has two endpoints.

A vertex is defined as the common endpoint of two or more rays or line segments.

Answer:

he spent 2hours 50minutes snowboarding

the time he spent skiing and snowboarding minus the time he skied

5hours minus 2hours 10minutes

Answer:

Rectangle A's length = 22 ft., Rectangle B's length = 44 ft.

Step-by-step explanation:

Since we know that the length of Rectangle B is twice the length of Rectangle A, we know that 2*(3x + 7) = Rectangle B's length.

We must set this equation to the dimensions already given for Rectangle B, which gives us 2(3x + 7) = 2 (5x - 3).

Using the distributive property gives us 6x + 14 = 10x - 6 and solving for x gives us x = 5.

We must plug five into the original dimensions to find that the lengths of Rectangles A and B are 22 feet and 44 feet respectively.

Answer:

64=18

Step-by-step explanation:

The possibility that experimental results are due to chance or some factor other than the experimental variable is measured by the p-value.

The p-value is a statistical measure that provides information about the likelihood of obtaining a particular result due to random chance or some factor other than the experimental variable. In experimental design, a null hypothesis is usually assumed, which states that there is no relationship between the independent and dependent variables. The p-value is then used to assess the strength of evidence against this null hypothesis.

A p-value is calculated based on the data obtained from an experiment and the assumptions of the statistical test used. It is a number between 0 and 1, and it represents the probability of obtaining a result as extreme or more extreme than what was actually observed, given that the null hypothesis is true.

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Answer:

3.78541 liters (sorry I'm horrible at rounding)

Answer:

90 counterclockwise or 270 degrees clockwise

\(\sqrt{45}+\sqrt{54}+\sqrt{56}\)

\(\sqrt{45} = 3\sqrt{5}\)

\(\sqrt{54} = 3\sqrt{6}\)

\(\sqrt{56} = 2\sqrt{14}\)

so it's equal to:

\(=3\sqrt{5}+3\sqrt{6}+2\sqrt{14}\)

by a random romanian guy

Answer:

y = -5x + 1

Step-by-step explanation:

Y= mx +b

m = slope

b = y-intercept

y =  -5x + 1

Answer:

y = -5x + 1

Step-by-step explanation:

Seeing the words "slope" and "y-intercept," I jump immediately to the slope-intercept form of the equation of a straight line:  y = mx + b.

Here we have m = -5 and b = 1:

y = -5x + 1

Answer:

50

Step-by-step explanation:

10

+10

+10

+10

+10

=

50