A sector of a circle with a radius of 12 inches has a central angle measure of 20°.

What is the area of the sector rounded to the nearest tenth?

Use 3.14 for π.
Responses


15.1 in 2

22.6 in2

25.1 in 2

75.6 in2

The location which is in the region for plants receiving the maximum amount of water is "(-3,-1)". The Option A is correct.

Water flows into the open pore spaces in the soil by gravity, and the size and spacing of the soil particles determine how much water can flow in. Because coarse soils have larger pore spacing at the soil surface, they have a higher infiltration rate than fine soils.

Based on the graph, we observed that the point of location in which is in the region for plants receiving the maximum amount of water is the point (-3,-1). Therefore, we agree that Option A is correct.

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Answer:

Total Area = 26.75

Step-by-step explanation:

Remark

The hardest triangle to see is the top one. So we'll start with it.

It has a vertical leg of 3.5 and a horizontal one of 2 + 2 + 5 = 9

Top Triangle Area

Area = 1/2 base * height

Area = 1/2 * 9 * 3.5

Area = 15.75

Triangle on the lower left

Area = 1/2 * 2 * 2

Area = 2

Square on lower middle

Area = 2*2

Area = 4

Triangle on lower right area

Area = 1/2 * 2 * 5

Area = 5

Total Area

Total Area = 5 + 4 + 2 + 15.75

Total Area = 26.75

Answer will be 27.

Given,

3√81

Now, to solve the expression the squares of whole numbers and square roots for some numbers must be known.

For example, squares of

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

6² = 36

7² = 49

8² = 64

9² = 81
10² = 100

Square roots,

√100 = 10

√81 = 9

√64 = 8

√49 = 7

√36 = 6

√25 = 5

√16 = 4

√9 = 3

√4 = 2

√1 = 1

Now ,

3√81 = 3× 9

= 27.

Thus the value is 27.

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Answer:

3 Stamps left

Step-by-step explanation:

275/8=34.375

34*8=272

275-272=3

Answer: 3

Answer:

Sue Black: 40 hours, $270

Jerry Atrix: 30 hours, $154.50

Sam Ting: 38.75 hours, $339.06

Step-by-step explanation:

Firstly, 40 hours is a workweek of 8-hour shifts. It's good to remember. Otherwise, we can multiply 8 by 5 and get 40 anyway. That's the hours of Sue Black, and she earns:

40*$6.75 = $270

Jerry worked for (note you can easily add in memory if you do the fractions first):

7.25+3+6.75+8+5 = 7.25+6.75 + 3+8+5 = 14 + 16 = 30

Earnings:

30*$5.15 = $154.50

Sam worked a quarter of an hour less than Sue each day. That means that his total time was:

40 - 5 * 0.25 = 40 - 1.25 = 38.75

Earnings:

38.75*$8.75 = $339.0625 ≈$339.06

The price elasticity of demand is 1.90.

Price elasticity of supply measures the responsiveness of quantity supplied to changes in price of the good. It is expected that quantity supplied would be positively related to the price of the good.

Price elasticity of supply = percentage change in quantity supplied / percentage change in price

55% / 29% = 1.90

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We need

Angles are supplementary

Answer:

74°

Step-by-step explanation:

A bearing is an angle, measured clockwise from the north direction.

To find the bearing of Y from X:

Angles on a straight line sum to 180°

⇒ bearing of Y from X = 180° - 106°

                                     = 74°

Answer:

We know that the factors of the number 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90.

Step-by-step explanation:

so it would be 1,2,3,5,6,9 hope it helps :)

I agree, that is correct

Step-by-step explanation:

5x:9=8:3

5x/9= 8/3

5x=8 × 9/3

5x =72/3

5x=24

x=24/5

x=4.8

Answer:

1

Step-by-step explanation:

36 months is equal to 3 years.

There are 12 months in a year.

36/12=3

3/3=1

Answer:

Patel’s initial deposit was $3000

Step-by-step explanation:

Given:

Simple interest (S.I.) = 5%

Time period (t) = 10 years

Interest earned (r) = $1500

To find: Patel’s initial deposit

Solution:

Simple interest is a method of calculating the interest charged on the principal, or original amount of a loan.

Let p denotes original amount of a loan

\(S.I.=\frac{p\times r\times t}{100}\\\Rightarrow 1500=\frac{p\times 5\times 10}{100}\\\Rightarrow p=\frac{1500\times 100}{5\times 10}\\=3000\)

So, Patel’s initial deposit was $3000

Answer:

102

Step-by-step explanation:

34 is d so 34×3=102

pls correct me if im wrong

Answer:

...

Step-by-step explanation:

,,,,,,,,,,,,,

Answer:

(a)  start value = $45,000

(b)  4.6875 months exactly

======================================================

Explanation

Part (a)

I'll use x in place of t, and y in place of 'a'. The reason for this will be mentioned in part (b)

The equation \(a = 45+75t-4t^2\) turns into \(y = 45 + 75x - 4x^2\) which rearranges to \(y = -4x^2+75x+45\)

Let's plug in x = 0 so we can find the account value (variable y) at the very start.

\(y = -4x^2+75x+45\\\\y = -4*0^2+75*0+45\\\\y = 45\\\\\)

The nice thing is any term involving x will go to zero, which leaves behind 45 at the end.

The initial value is $45,000. Recall that y is the value in thousands of dollars.

Think of it like saying 45*1000 = 45,000.

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

Part (b)

The template for a general quadratic is \(y = ax^2+bx+c\) which involves 'a', so that's why I swapped to x,y to avoid confusion.

That template is used to help complete the square to get a quadratic into vertex form.

Compare \(y = ax^2+bx+c\) with \(y = -4x^2+75x+45\) to find these values

Plug the first two items into the formula below

h = -b/(2a)

h = -75/(2*(-8))

h = 4.6875

This is the x coordinate of the vertex (h,k). It's the number of months it takes to reach the peak value.

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

Extra info: If you plug x = 4.6875 back into the function, then you'll get y = 308.671875 which represents an account value of $308,671.88 (after rounding to the nearest penny). This is the investment's maximum value.

Answer:

Can you please include the complete question?

Step-by-step explanation:

According to the properties of the standard normal distribution, approximately 99.7% of the values lie within three standard deviations of the mean. Therefore, the answer is 99.7%.

To determine the percentage of videos on the streaming site that are between 264 and 489 seconds, we need to calculate the area under the normal curve within that range. Since the distribution is approximately normal with a mean of 264 seconds and a standard deviation of 75 seconds, we can use the properties of the standard normal distribution to find the desired percentage.

First, we need to convert the values 264 and 489 to z-scores, which represent the number of standard deviations a particular value is away from the mean. The z-score formula is given by:

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get:

z1 = (264 - 264) / 75 = 0

z2 = (489 - 264) / 75 = 3

Next, we can use a standard normal distribution table or a calculator to find the area under the curve between z = 0 and z = 3. The area represents the percentage of videos falling within that range. The answer is 99.7% .

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The answer fam is.......... H= q/2 + m/2

Answer:

False

Step-by-step explanation:

3 1/5 - (-2 2/3) ≠ 15

The trigonometric equations has the following solutions: x = 0 + j · π or x = 0.352π + j · π or x = - 0.352π + j · π, where j is a non-negative whole number.

In this problem we find the case of a trigonometric equation, whose solutions on the interval [0, 2π] must be found. This can be done by both algebra properties and trigonometric formulae. First, write the entire expression:

tan² x · sec² x + 2 · sec² x - tan² x = 2

Second, use trigonometric formulas to reduce the number of trigonometric functions:

tan² x · (tan² x + 1) + 2 · (tan² x + 1) - tan² x = 2

Third, expand the equation:

tan⁴ x + tan² x + 2 · tan² x + 2 - tan² x = 2

tan⁴ x + 2 · tan² x = 0

Fourth, factor the expression:

tan² x · (tan² x - 2) = 0

tan² x = 0 or tan² x = 2

tan x = 0 or tan x = ± √2

Fifth, determine the solutions to trigonometric equation:

x = 0 + j · π or x = 0.352π + j · π or x = - 0.352π + j · π, where j is a non-negative whole number.

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The requried, 20 youths use both iPhone and Samsung, and 200 youths use neither iPhone nor Samsung.

Let A be the set of youths using only iPhones, B be the set of youths using only Samsung, and C be the set of youths using both. Then, we have:

|A| = 150

|B| = 770

|A ∪ B| = 900

We want to find |C| and |A ∩ B| (which is the number of youths using both).

Using the inclusion-exclusion principle, we have:

|A ∪ B| = |A| + |B| - |A ∩ B|

900 = 150 + 770 - |A ∩ B|

|A ∩ B| = 20

So, 20 youths use both iPhone and Samsung.

To find the number of youths who use neither, we can use the fact that:

|A ∪ B ∪ C| = 1100

|A ∪ B ∪ C| = |A| + |B| + |C| - |A ∩ B| - |A ∩ C| - |B ∩ C| + |A ∩ B ∩ C|

Plugging in the values we know, we get:

1100 = 150 + 770 + |C| - 20 - |A ∩ C| - |B ∩ C| + |A ∩ B ∩ C|

|C| - |A ∩ C| - |B ∩ C| + |A ∩ B ∩ C| = 200

Since the number of youths using both is 20, we have:

|A ∩ C| = |B ∩ C| = |A ∩ B ∩ C| = 0

So, we can simplify the equation to:

|C| = 200

Therefore, 200 youths use neither iPhone nor Samsung.

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Since \(x^2 + x + 1 = 0\) means \(x^2+x = -1\), we have for any \(n\) the recursive relation

\(x^n (x^2 + x) = x^{n+2} + x^{n+1} = -x^n \implies x^{n+2} = -x^{n+1} - x^n\)

Let \(f(x)=x^{2015}+x^{2013}+x\). Substitution using the recursive rule generates an alternating power-reduction pattern:

\(f(x) = \left(-x^{2014} - x^{2013}\right) + x^{2013} + x = -x^{2014} + x\)

\(f(x) = -\left(-x^{2013} - x^{2012}\right) + x = x^{2013} + x^{2012} + x\)

\(f(x) = \left(-x^{2012} - x^{2011}\right) + x^{2012} + x = -x^{2011} + x\)

\(f(x) = -\left(-x^{2010} - x^{2009}\right) + x = x^{2010} + x^{2009} + x\)

\(f(x) = \left(-x^{2009} - x^{2008}\right) + x^{2009} + x = -x^{2008} + x\)

\(f(x) = -\left(-x^{2007} - x^{2006}\right) + x = x^{2007} + x^{2006} + x\)

and so on.

Notice that in the equivalent forms of \(f(x)\) involving 3 terms, the largest power of \(x\) is a multiple of 3, and the next largest power is 1 less. This means after so many iterations of substitutions, we would end up with

\(f(x) = x^3 + x^2 + x\)

Then by factorizing, the expression of interest reduces to

\(f(x) = x (x^2 + x + 1) = x \times 0 = \boxed{0}\)

Answer:

26.75 units²

Step-by-step explanation:

This shape can be split into 3 triangles and a square. Find the area of each shape then add them all up.

\(A(Square)=2(2)=4\\\\A(Triangle)=\frac{1}{2}(2)(2)=2\\\\A(Triangle)=\frac{1}{2}(5)(2)=5\\\\A(Triangle)=\frac{1}{2}(9)(3.5)=15.75\\\\A(Shape)=4+2+5+15.75=26.75\)

Therefore, the area of the shape is 26.75 units².

Answer: each paintbrush cost 7 dollars

Step-by-step explanation: $24 - $3=$21. So then you divide $21 by 3

Answer:

It's B. n3 - 4n - 4

Step-by-step explanation:

Hope this helps.. ;)

Given:

The graph of a function.

To find:

The range of the given function using interval notation.

Solution:

Range: The set of y-values or output values are known as range.

From the given graph, it is clear that the function is defined for \(0<x<4\) and the values of the functions lie between -2 and 2, where -2 is excluded and 2 is included.

Range \(=\{y|-2<y\leq 2\}\)

The interval notation is:

Range \(=(-2,2]\)

Therefore, the range of the given function is (-2,2].

6 - (3x+10) + 4(2-x)=15

6- (3x +10) + 8-4x = 15. ( opening brackets)

-3x - 4x= 15 - 6-8. ( keeping all x terms on left and moving numbers to the right)

-7x = 1

x= 1/-7

Hope this helps:)

Answer:

2/5 or the third one

Step-by-step explanation:

The first two are 1/2 after they are simplified and the second two are just below or just above one half, the last one is above and the third one is below.

Answer:

2/5

Step-by-step explanation:

Convert all fractions to have a common denominator

4, 10, and 5 can all be multiplied to equal 20

As a result, we will use 20 for the common denominator

What multiplied by 4 equals 20? 5 × 4 = 20

What multiplied by 10 equals 20? 2 × 10 = 20

What multiplied by 5 equals 20? 4 × 5 = 20

If we multiply this to the denominator, we must also multiply the same number to the numerator

Starting from left to right:

2 × 5 / 4 × 5 = 10/20

5 × 2 / 10 × 2 = 10/20

2 × 4 / 5 × 4 = 8/20

3 × 5 / 4 × 5 = 15/20

Compare: 10/20, 10/20, 8/20, 15/20

Which fraction has the smallest numerator?

8/20 as 8 is less than 15 and 10

Which fraction was 8/20? Check back to our work.

8/20 = 2/5

2/5 is the least

The pairs matching the simplified expressions to the original expressions are given as follows:

An expression is simplified combining like terms, that is, adding or subtracting the terms that have the same variable.

Hence, the simplified expressions are given as follows:

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