if a taxpayer has an adjusted gross income (AGI) of $27.000, donates $3500
to charity, and itemizes deductions on her federal income tax returrn, how
much of the charitable donation is deductible?​

Hints:

Step 1: Use Sine law the the angle B.

a/Sin A=b/SinB=c/SinC

24/Sin61^=12/SinB (accross multiply)

SinB=12Sin61^/24

SinB=0.437309853 then convert to degree =25.9 degree( depends on question rounded how many decimal) Read the question it must notes there.

--> Angle C=180-61-25.9=93.1 degree.

Step 2: Use Cosine law to calculate.

c^2=a^2+b^2−2ab⋅cosC

c^2=24^2+12^2-2(24)(12)cos93.1

c^2=720-576(-0.054078812)

c^2=720+31.11494

c^2=751.1494

c=27.4

(Square root take exponent off)

Step-by-step explanation:

Answer:

The one to the right

Step-by-step explanation:

Answer:

y = 200 + 50x

Step-by-step explanation:

y = cost

x = number of months

The cost is equal to the cost to open the plan plus the monthly fee times the number of months

y = 200 + 50x

Answer:

y = 200 + 50x

Step-by-step explanation:

the cost = the base cost plus the monthly charge ($50 per the number of months you pay it)

hope this helps (/o.o)/<3

Answer:

I believe the answer is D

Step-by-step explanation:

Answer: 2,3

Step-by-step explanation:

Given that, when six is subtracted from five times a number, the result is 9. The number is 3.

Given that, when six is subtracted from five times a number, the result is 9.

Let the number be y, such that;

(5 × y) - 6 = 9

Next, we solve for y

(5 × y) - 6 = 9

5y - 6 = 9

5y = 6 + 9

5y = 15

y = 15 / 5

y = 3

Given that, when six is subtracted from five times a number, the result is 9. The number is 3.

Learn more word problems here: brainly.com/question/2610134

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Answer:

4 623

Step-by-step explanation:

4.623 x 1000

When multiplying by a  positive power of 10, move the decimal by the number of zeros

Since we have 3 zeros, move the decimal 3 places to the right

4 623

Answer:

You can easily figure that

[tex]4.623 = 4623 \cdot 10^{-3}[/tex]

[tex]1000 = 1\cdot 10^3[/tex]

The multiplication: [tex](4623 \cdot 10^{-3}) \cdot (10^3)=4623[/tex]

Answer:3

Step-by-step explanation:

Answer:

1080 degrees

Step-by-step explanation:

The sum of the interior angles in an octagon can be find through the formula:

(n-2)180

n is the number of sides, put n as 8.

(8-2)180

(6)180 = 1080

1080 degrees is the sum of the interior angles in an octagon.

Answer:

-The equation:

[tex]y = x + 2[/tex]

Step-by-step explanation:

Use the Point-slope formula to get the slope-intercept equation:

[tex]y-y_{1} = m(x-x_{1})[/tex]

Use the given slope [tex]1[/tex] and point [tex](3,5)[/tex] for the point-slope formula:

[tex]y-5 = 1(x-3)[/tex]

-Then, solve:

[tex]y-5 = 1(x-3)[/tex]

[tex]y-5 = x - 3[/tex]

[tex]y-5 + 5 = x - 3 + 5[/tex]

[tex]y = x + 2[/tex]

-So, the answer is:

[tex]y = x + 2[/tex]

Answer:

C. [tex]y = x +2[/tex]

Step-by-step explanation:

→You can figure this out by plugging in the numbers into the point-slope form, like so:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-5=1(x-3)[/tex]

[tex]y - 5=x-3[/tex]

[tex]y = x +2[/tex]

Answer:

17 weeks

Step-by-step explanation:

(12×17)+21= 225

(10×17)+55=225

Answer:

Brainliest

Step-by-step explanation:

UT = XV                    

ST = WV

angle v = angle T

^^^^^^^^ these are correct

there is no way I can explain this by writing sorry!

Answer:

[tex] 60\sqrt{3 \\ } [/tex]

Step-by-step explanation:

in a cube, the diagonal is the length of a side times square root of 3

Answer:

One real root (multiplicity 2).

Step-by-step explanation:

-3=x^2+4x+1

x^2 + 4x + 4 = 0

Discriminant = 4^2 - 4*1*4 = 0

There is one real root (multiplicity 2).

The equation has 1 real solution.

The quadratic function is given as:

[tex]-3=x^2+4x+1[/tex]

Add 3 to both sides of the equation

[tex]3-3=x^2+4x+1 + 3[/tex]

This gives

[tex]0=x^2+4x+4[/tex]

Rewrite the equation as:

[tex]x^2+4x+4 = 0[/tex]

A quadratic equation is represented as:

[tex]ax^2+bx+c = 0[/tex]

By comparison, we have:

[tex]a =1[/tex]

[tex]b =4[/tex]

[tex]c = 4[/tex]

The discriminant (d) is calculated as:

[tex]d =b^2 - 4ac[/tex]

So, we have:

[tex]d =4^2 - 4 \times 1 \times 4[/tex]

[tex]d =16 - 16[/tex]

Evaluate like terms

[tex]d = 0[/tex]

Given that the discriminant value is 0, it means that the equation has 1 real solution.

Read more about quadratic functions at:

https://brainly.com/question/2507588

Answer:

x≥7

Step-by-step explanation:

6(x-3)/8≥3

Multiply each side by 8/6

8/6*6(x-3)/8≥3*8/6

(x-3)≥4

Add 3 to each side

x-3+3≥4+3

x≥7

Answer:

Some numbers cannot be written as a ratio of two integers

Step-by-step explanation:

Answer:

An irrational number is a number that can not be written as a simple fraction or be expressed as the quotient of two integers.

Integer : (A whole number that is not a fraction).

Step-by-step explanation:

Answer:

Hai

first i wanna find the full area. so ill multiply

14×10 = 140.

now the things i should do is find patch and bed's area and substrack from the all area to find the lawn!

For flower bed:

3×8= 24, 24÷2 = 12.

for vegetable patch:

5+7= 12×10 = 120÷2 = 60.

60+12=72

140-72= 68

good luck (:

Answer:

x = ±4

Step-by-step explanation:

3x^2 =48

Divide by 3

3x^2/3 = 48/3

x^2 = 16

Take the square root of each side

sqrt(x^2) = ±sqrt(16)

x = ±4

Answer:

x = ± 4

Step-by-step explanation:

You need to get [tex]x^2[/tex] by itself, and to do this, you divide both sides by 3, like so:

[tex]3x^2 = 48\\x^2 = 16[/tex]

Now take the square root of both sides:

[tex]\sqrt{x^2} =\sqrt{16} \\[/tex]

x = ± 4

Answer:

Answer choice a is correct, the answer would be 4.

Step-by-step explanation:

The histogram shows that the bin from 1-3 has a height of 4 shots, and all of the bins to the right include values of ≥4.

The question asks for the number of games that had less than 4 shots, which means that and number of shots greater than or equal to 4 would not be counted. Thus, only the first bin is included in the answer.

Answer:

1000g = 1kg

76.2g ÷ 1000 = 0.0762kg

Answer:

0.0762

Step-by-step explanation:

Answer:

height (in.) is the x-axis label

arm span (in.) is the y-axis label

The ordered pair is (30,27) is found in the scatter plot

Answer:

(2x+1)(x+7)

Step-by-step explanation:

Guess and Check

(2x+7)(x+1) = 2x^2+9x+7. NOPE

(2x+1)(x+7) = 2x^2+15x+7. YES

Answer:

[tex]= (2x + 1)(x + 7) \\ [/tex]

Step-by-step explanation:

[tex]2 {x}^{2} + 15x + 7 \\ 2 {x}^{2} + 14x + x + 7 \\ 2x(x + 7) + 1(x + 7) \\ = (2x + 1)(x + 7)[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

x = 0, 51

Step-by-step explanation:

→First, you need to factor out the GCF (Greatest Common Factor), which is -0.03x, like so:

-0.03x (x - 51) = 0

→Remove the -0.03 by divide it by both sides:

x(x - 51) = 0

→Separate each, like so:

x = 0

x - 51 = 0

→Solve for x:

x - 51 = 0

x = 51

Your solutions are, 0 and 51.

Answer:

(x+1)(x+8)

x^2 + 8x + x + 8

x^2 + 9x + 8

Step-by-step explanation:

1. multiply the length and width by using the foil method

2. add like terms

Answer:

Please see attached image for the graph

Step-by-step explanation:

To graph the elevation versus time, we start by plotting the first point at time zero (when the climb begins) when Zane is 20 meters below the edge (-20 meters). This corresponds to the point (0, -20).

One second later (1 in the horizontal axis), Zane has moved up 4 meters, now reaching -16 meters. This is the point (1, -16) on the graph.

One second later at time 2 seconds, he is another 4 meters up which corresponds to the point (2, -12) on the graph.

you can go on like this plotting more points on the graph.

Please see the attached image that illustrates this and shows the appropriate line that represents Zane's position versus time (pictured in red)

Answer:

Step-by-step explanation:

[tex]\frac{4}{5+6}=\frac{4}{11}\\\\3+\frac{4}{5+6}=3+\frac{4}{11}\\\\=\frac{3*11}{1*11}+\frac{4}{11}\\\\=\frac{33+4}{11}\\\\=\frac{37}{11}\\\\\\\frac{2}{3+\frac{4}{5+6}}=\frac{2}{\frac{37}{11}}\\\\=2*\frac{11}{37}\\\\=\frac{22}{37}\\\\\\\\1+\frac{2}{3+\frac{4}{5+6}}=1+\frac{22}{37}\\\\=\frac{37}{37}+\frac{22}{37}\\\\=\frac{37+22}{37}\\\\=\frac{59}{37}\\\\=1\frac{22}{37}\\[/tex]

Answer

[tex]59/37[/tex]

Explanation

[tex]1+\frac{2}{3+\frac{4}{5+6} }[/tex]

[tex]1+\frac{2}{3+\frac{4}{11} }[/tex]

[tex]1+\frac{2}{\frac{3}{1} +\frac{4}{11} }[/tex]

[tex]1+\frac{2}{\frac{33}{11} +\frac{4}{11} }[/tex]

[tex]1+\frac{2}{\frac{37}{11} } }[/tex]

[tex]1+2 \times \frac {11}{37}[/tex]

[tex]1+\frac{22}{37}[/tex]

[tex]1\frac{22}{37}[/tex]

[tex]\approx 1.594594594594594594594594594594595[/tex]

Answer:

(4,0) and ( 0,-4)

Step-by-step explanation:

The solutions are the the graphs intersect

There are two points

(4,0) and ( 0,-4)

Answer:

B, C

Step-by-step explanation:

Seeing as you said ASAP I thought I wouldn't spend time writing an explanation, but let me know if you do want one.

Answer:  B

Step-by-step explanation:each of the pairs of opposite angles made by two intersecting lines.

Answer:

choice A is better value

Step-by-step explanation:

1/2 Kg = 500 grams

0.7* 5=3.5 dollars for sunflower seeds

prepackaged seeds : 500 mg= 0.5 grams

so 0.5 grams cost 3.95 dollars

Answer:

She will use 3/10 cups of blueberry to prepare muffins for herself and tennis team

Step-by-step explanation:

If recipe for a batch of blueberry muffins calls for 3/5 cups of blueberries

If Rallye wants to make 1/2 batch of muffins, then she will use 1/2 of 3/5 cups of blueberry

That is,

1/2 of 3/5 cups of blueberry

=1/2×3/5

=3/10