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zubka84 [21]
4 years ago
5

Let a be a rational number and b be an irrational number. Is a + b rational or irrational?

Mathematics
2 answers:
VARVARA [1.3K]4 years ago
8 0

Answer:

Rational

Step-by-step explanation:

Svetlanka [38]4 years ago
4 0

Answer:

irrational

Step-by-step explanation:

because an irrational number goes on forever so no matter what number is added to it it will always be irrational.

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The measure of angle A is 4 degrees greater than the measure of angle B. The two angles are complementary. Find the measure for
svetlana [45]
Given: 
Angle A is 4 degrees greater than the measure of Angle B. Both angles are complementary

Complementary angles have a sum of 90°

Angle A = x + 4° ; Angle B = x

x + 4° + x = 90°
2x = 90° - 4°
2x = 86°
x = 86° ÷ 2
x = 43° ANGLE B.

Angle A = x + 4° ⇒ 43° + 4 = 47°

Given:
Angle D is 5 times the measure of Angle E. These angles are supplementary. This means that their sum is 180°

Angle D = 5x ; Angle E = x

5x + x = 180°
6x = 180°
x = 180° ÷ 6
x = 30°  Angle E.

Angle D = 5x = 5(30) = 150°
6 0
4 years ago
Read 2 more answers
Verifying Trig Functions
anzhelika [568]

Answer:

The answer to your question is below

Step-by-step explanation:

                csc α - cot α = \frac{sin \alpha }{1 + cos \alpha }

Work with the left part

                \frac{1}{sin\alpha } - \frac{cos \alpha }{sin \alpha}

Simplify

                \frac{1 - cos\alpha }{sin\alpha }

Multiply by the reciprocal

 \frac{1 - cos\alpha }{sin \alpha } x \frac{1 + cos\alpha }{1 + cos\alpha }                                  

Simplify

\frac{1 - cos^{2}\alpha}{sin\alpha (1 + cos\alpha)}

Remember that

                 sin²α = 1 -cos²α

Substitute the previous equation

\frac{sin^{2}\alpha }{sin\alpha(1 + cos\alpha ) }

Simplify

\frac{sin\alpha}{1 + cos \alpha}      

The identity i proved.            

5 0
3 years ago
Does anyone know this
kap26 [50]

Answer: 761 yd

split the figure into different pieces to make it easier

(23 x 7) + (40 x 15)

161 + 600

761

hope this helped :)

6 0
3 years ago
Read 2 more answers
10. If $5000 is invested in an account that compounds interest
Varvara68 [4.7K]

Answer:

5000 \times  {1.075}^{10}  = 10305.16

6 0
3 years ago
Mr. Duncan bought a table at a discount if 30% thus saving $42. what was the marked price of the table?​
katovenus [111]

Answer:

$140

Step-by-step explanation:

if 30% of full price = $42 then 100% = 42/0.3 = 140

5 0
3 years ago
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