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3 years ago

The trunk of a tree is 50 cm thick. Each year it gets thicker by 1 cm . How thick will the tree trunk be in 50 years?

Mathematics

2 answers:

vovangra [49]3 years ago

7 0

Answer:

100cm

Step-by-step explanation:

It starts at 50cm.

Each year you're adding 1cm.

1cm*50 years = 50cm

50+50=100

Korolek [52]3 years ago

4 0

It’s already 50cm and it grows 1 cm each year, so 1cm times 50 years =50cm plus the other 50=100cm

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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°

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3 years ago

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show that thw roots of the equation (x-a)(x_b)=k^2 are always real if a,b and k are real. Please I really need help with this

VLD [36.1K]

Answer:

see explanation

Step-by-step explanation:

Check the value of the discriminant

Δ = b² - 4ac

• If b² - 4ac > 0 then roots are real

• If b² - 4ac = 0 roots are real and equal

• If b² - 4ac < 0 then roots are not real

given (x - a)(x - b) = k² ( expand factors )

x² - bx - ax - k² = 0 ( in standard form )

x² + x(- a - b) - k² = 0

with a = 1, b = (- a - b), c = -k²

b² - 4ac = (- a - b)² + 4k²

For a, b, k ∈ R then (- a - b)² ≥ 0 and 4k² ≥ 0

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3 years ago

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Rzqust [24]

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3 years ago

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Please Help! My question is in the picture.

Varvara68 [4.7K]

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r = a₂ ÷ a₁
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r = 1/2 × 1/2
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Final answer:
Recursive rule
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3 years ago

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chubhunter [2.5K]

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<u><em>Irrational number:-</em></u>

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Example:-

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Given option

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