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4 years ago

How many values of θ will satisfy tan-1 0 = θ when 0º<θ<90º?

1 answer:

Ber [7]4 years ago

8 0

We want to satisfy
tan⁻¹ 0 = θ when 0° < θ < 90°.

The restriction on θ places the angle in the 1st quadrant.
When tan θ = 0, θ = 0°, 180°, 360°, ...
If θ >= 0, then a solution exists in the 1st quadrant.
Because of the requirement θ>0, no answer satisfies the given equation.

Answer: None

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Kelly inherits land which had a basis to the decedent of $95,000 and a fair market value of $50,000 on August 4, 2018, the date

Degger [83]

Answer:

The correct option is;

Her recognized <u>loss </u>is ($1,000)

Step-by-step explanation:

The given information are;

The basis of the land to the decedent = $95,000

The land's market value on 4th of August 2018 when the decedent died = $50,000

The alternate valuation date = 6 months + The date of death of the decedent = 4th February, 2019

The value filed by the executor on the tax return using the alternate valuation date = The market value of the estate on 4th of February 2019

The market value of the land on 4th of February 2019 = $45,000

∴ The value filed by the executor on the tax return using the alternate valuation date = $45,000

The value of the land on November 12, 2018 when the executor distributed the land to Kelly = $49,000

The value at which Kelly sells the land on June 10, 2019 = $48,000

Given that, recognized gain is the profit made from selling an asset based on the value of the asset when it was obtained, we have;

Kelly's recognized gain or loss = (The value at which Kelly sells the land) - (The value of the land when the executor distributed the land to Kelly)

Kelly's recognized gain or loss = $48,000 - $49,000 = -$1,000 = ($1,000)

Therefore, Kelly's recognized loss = ($1,000).

6 0

3 years ago

Write the ratio 12 dogs out of 20 pets as a fraction in simplest form.

Diano4ka-milaya [45]

12 / 20 reduces to 3/5....so its 3 dogs out of 5 pets in simplest form

4 0

3 years ago

Read 2 more answers

55 and 45 find the the percent decrease round to the nearest whole number

Helen [10]

Answer:

18.18%

Step-by-step explanation:

55-45=10

10/55=0.18

5 0

3 years ago

HELPPPP ASAP These figures are congruent. What series of transformations moves pentagon

frez [133]

Answer:

a translation and a rotation

Translation (-2,-3), rotation 90° CW (in either order)

4 0

3 years ago

Read 2 more answers

Can someone please help me with this geometry homework?

Leno4ka [110]

The distances between the two points, in units, are given as follows:

7. $\sqrt{2}$

8. $2\sqrt{17}$

9. $3\sqrt{2}$

10. $3\sqrt{5}$

The midpoints are given as follows:

11. (7,-4.5).

12. (2,4).

13. (7,0.5).

14. (5.5,-1.5).

<h3>What is the distance between two points?</h3>

Suppose that we have two points, $(x_1,y_1)$ and $(x_2,y_2)$ . The distance between them is given by:

$D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

For item 7, the points are (-3,-2) and (-4,-3), hence the distance is:

$D = \sqrt{(-4 + 3)^2 + (-3 + 2)^2} = \sqrt{2}$

For item 8, the points are (-3,1) and (5,3), hence the distance is:

$D = \sqrt{(5 + 3)^2 + (3 - 1)^2} = \sqrt{68} = 2\sqrt{17}$

For item 9, the points are (-3,0) and (0,-3), hence the distance is:

$D = \sqrt{(0 + 3)^2 + (-3 - 0)^2} = \sqrt{18} = 3\sqrt{2}$

For item 10, the points are (1,-2) and (4,4), hence the distance is:

$D = \sqrt{(4 - 1)^2 + (4 + 2)^2} = \sqrt{45} = 3\sqrt{5}$

<h3>What is the midpoint concept?</h3>

The midpoint between two points is the halfway point between them, and is found using the mean of the coordinates.

Hence, for item 11, the midpoint is given by:

[0.5(9 + 5), 0.5(1-10)] = (7,-4.5).

For item 12, the midpoint is given by:

[0.5(-5 + 9), 0.5(7 + 1)] = (2,4).

For item 13, the midpoint is given by:

[0.5(9 + 5), 0.5(9 - 8)] = (7,0.5).

For item 14, the midpoint is given by:

[0.5(10 + 1), 0.5(4 - 7)] = (5.5,-1.5).

More can be learned about the distance between two points at brainly.com/question/18345417

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8 0

2 years ago