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marysya [2.9K]
3 years ago
11

Anyone know the answer ?

Mathematics
1 answer:
notka56 [123]3 years ago
5 0

Answer:

3/4

Step-by-step explanation:

sin = opposite/hypotenuse

one side is 3, hypotenuse side is 5.

using the pythagorean theorem, we know that the third side is 4.

tan = opposite/adjacent

tanθ = 3/4

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Harlp needed ok thanks dudes
Ivanshal [37]

Solution:

<u>A few definitions...</u>

  • Rational number - Any integer, fraction, terminating decimal, or repeating decimal is classified as a rational number
  • Irrational number - All the real numbers which are not rational numbers.

<u>Option A - Rational or Irrational?</u>

  • 1/2 + 1/3

Since both are known as fractions, they are rational numbers.

<u>Option B - Rational or Irrational?</u>

  • √2 + 5/2

√2 is classified as an Irrational number because if it is simplified, it does not result in any integer, fraction, terminating decimal, or repeating decimal.

<u>Option C - Rational or Irrational?</u>

  • 1/√4 + 7/2
  • => 1/2 + 7/2
  • => 8/2 = 4

Since this is an integer, this is rational.

<u>Option D - Rational or Irrational?</u>

  • √9 + √4
  • => √3 x 3 + √2 x 2
  • => 3 + 2 = 5

Since this is an integer, this is rational.

In conclusion...

Option B is correct.

8 0
2 years ago
Esther cut a square paper vertically to make two rectangle pieces. Each rectangle had a perimeter of 63 inches.
mariarad [96]

Answer:

21

Step-by-step explanation:

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3 years ago
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What is the Answer For 4x y = -10
Katena32 [7]
Xy = -10/ 4
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So, xy = -2.5
4 0
4 years ago
What is this number to the nearest thousandths - 1.36947
sp2606 [1]

your Answer is:

1.369

6 0
3 years ago
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Unit 7: Polygons and Quadrilaterals Homework 6: Kites Need Help Stat PLEASE HELP!!!!! 20 POINTS
balu736 [363]

1) The measures of angles H and F are 121°, respectively.

2) The measures of angles U and V are 65° and 139°, respectively.

3) The <em>missing</em> angles are m \angle 1 = 72^{\circ}, m\angle 2 = 72^{\circ}, m\angle 3 = 47^{\circ}, m\angle 4 = 90^{\circ}, m\angle 5 = 18^{\circ}, m\angle 6 = 47^{\circ} and m\angle 7 = 43^{\circ}.

4) The <em>missing</em> angles are m \angle 1 = 55^{\circ}, m\angle 2 = 35^{\circ}, m\angle 3 = 35^{\circ}, m\angle 4 = 90^{\circ}, m \angle 5 = 55^{\circ}, m \angle 6 = 67^{\circ}, m\angle 7 = 67^{\circ}, m\angle 8 = 23^{\circ} and m \angle 9 = 23^{\circ}, respectively.

5) The measure of side QT is \sqrt{105}.

6) The measure of side DF is 4\sqrt{26}.

7) The measure of side NP is 3\sqrt{65}.

8) The value of x is 17.

9) The value of x is 6.

10) The measure of angle EDC is 107°.

11) The measure of angle RST is 122°.

<h3>How find missing angles and sides in rhombuses</h3>

1) According to geometry, the sum of <em>internal</em> angles in a quadrilateral equals 360°. Since the given figure is a <em>kite-type</em> rhombus, the measures of angles H and F are 121°, respectively. \blacksquare

2) According to geometry, the sum of <em>internal</em> angles in a quadrilateral equals 360°. Since the given figure is a <em>kite-type</em> rhombus, the measures of angles U and V are 65° and 139°, respectively. \blacksquare

3) According to geometry, the sum of <em>internal</em> angles in a triangle equals 180° and the sum of <em>internal</em> angles in a quadrilateral equals 360°. The <em>missing</em> angles are m \angle 1 = 72^{\circ}, m\angle 2 = 72^{\circ}, m\angle 3 = 47^{\circ}, m\angle 4 = 90^{\circ}, m\angle 5 = 18^{\circ}, m\angle 6 = 47^{\circ} and m\angle 7 = 43^{\circ}, respectively. \blacksquare

4) According to geometry, the sum of <em>internal</em> angles in a triangle equals 180° and the sum of <em>internal</em> angles in a quadrilateral equals 360°. The <em>missing</em> angles are m \angle 1 = 55^{\circ}, m\angle 2 = 35^{\circ}, m\angle 3 = 35^{\circ}, m\angle 4 = 90^{\circ}, m \angle 5 = 55^{\circ}, m \angle 6 = 67^{\circ}, m\angle 7 = 67^{\circ}, m\angle 8 = 23^{\circ} and m \angle 9 = 23^{\circ}, respectively. \blacksquare

5) In this case we need to apply Pythagorean theorem and <em>triangle</em> and <em>quadrilateral</em> properties to determine the missing side:

QT = \sqrt{PQ^{2}-PT^{2}}

QT = \sqrt{13^{2}-8^{2}}

QT = \sqrt{105}

The measure of side QT is \sqrt{105}. \blacksquare

6) In this case we need to apply Pythagorean theorem and <em>triangle</em> and <em>quadrilateral</em> properties to determine the missing side:

DF = 2\cdot DH, DH = \sqrt{DE^{2}-EH^{2}}

DF = 2\cdot \sqrt{DE^{2}-EH^{2}}

DF = 2\sqrt{15^{2}-11^{2}}

DF = 4\sqrt{26}

The measure of side DF is 4\sqrt{26}. \blacksquare

7) In this case we need to apply Pythagorean theorem and <em>triangle</em> and <em>quadrilateral</em> properties to determine the missing side:

NK = 7\cdot x - 1, NM = 10\cdot x - 13, KM = 24, NK = NM, KP = \frac{KM}{2}

NP = \sqrt{NK^{2}-KP^{2}}

NP = \sqrt{[7\cdot (4)-1]^{2}-12^{2}}

NP = 3\sqrt{65}

The measure of side NP is 3\sqrt{65}. \blacksquare

8) According to geometry, the sum of <em>internal</em> angles in a quadrilateral equals 360°. Since the given figure is a <em>kite-type</em> rhombus, the value of x is 17. \blacksquare

9) According to geometry, the sum of <em>internal</em> angles in a quadrilateral equals 360°. Since the given figure is a <em>kite-type</em> rhombus, the value of x is 6. \blacksquare

10) According to geometry, the sum of <em>internal</em> angles in a triangle equals 180°. Hence, we have the following expressions:

m\angle EDC = 180^{\circ}-90^{\circ}-[2\cdot (2)+13]

m\angle EDC = 107^{\circ}

The measure of angle EDC is 107°. \blacksquare

11) According to geometry, the sum of <em>internal</em> angles in a triangle equals 180°. Hence, the angle RST is:

m\angle RST = 2\cdot (3\cdot 12 +25)

m \angle RST = 122^{\circ}

The measure of angle RST is 122°. \blacksquare

To learn more on quadrilaterals, we kindly invite to check this verified question: brainly.com/question/25240753

8 0
3 years ago
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