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3 years ago

An angle measures 85.2° less than the measure of its complementary angle. What is the measure of each angle?

Mathematics

1 answer:

Ilya [14]3 years ago

3 0

Answer:Complementary angles are two angles whose sum is 90 degrees.

Let x represent one of the angles.

The other angle which is 84.2 degrees less would be x - 84.2.

Using this, we can write an equation.

x + (x-84.2) = 90.

Combine like terms: 2x - 84.2 = 90

Add 84.2 to both sides of the equation.

2x = 174.2

Divide by 2: x = 87.1

and x - 84.2 would equal 2.9. to check: does 87.1 + 2.9 = 90? yes.

Step-by-step explanation: Thats as close as its gonna it i think

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A skull cleaning factory cleans animal skulls and other types of animals using flesh eating Beatles. The factory owner started w

shtirl [24]

Complete question is;

A skull cleaning factory cleans animal skulls and other types of animals using flesh eating Beatles. The factory owner started with only 13 adult beetles.

After 35 days, the beetle population grew to 26 adult beetles. How long did it take before the beetle population was 13,000 beetles?

Answer:

349 days.

Step-by-step explanation:

We are given;

Initial amount of adult beetles; A_o = 13

Amount of adult beetles after 35 days; A_35 = 26

Thus can be solved using the exponential formua;

A_t = A_o × e^(kt)

Where A_t is the amount after time t, t is the time and k is a constant.

Plugging in the relevant values;

26 = 13 × e^(35k)

e^(35k) = 26/13

e^(35k) = 2

35k = In 2

35k = 0.6931

k = 0.6931/35

k = 0.0198

Now,when the beetle population is 12000,we can find the time from;

13000 = 13 × e^(k × 0.0198)

e^(k × 0.0198) = 13000/13

e^(k × 0.0198) = 1000

0.0198k = In 1000

0.0198k = 6.9078

k = 6.9078/0.0198

k ≈ 349 days.

5 0

3 years ago

The sum of the digits of a two-digit number is 12. The number formed by reversing the digits is 54 more than the original number

andreyandreev [35.5K]

Answer:

Step-by-step explanation:

let the 2 digit number be ab = 10a + b ( considering place value )

The reversed 2 digit number is ba = 10b + a

The sum of the 2 digit number is

a + b = 12 ( subtract b from both sides )

a = 12 - b → (1)

Expressing as an equation

ba = ab + 54 , that is

10b + a = 10a + b + 54

Substitute a = 12 - b into the equation

10b + 12 - b = 10(12 - b) + b + 54 , simplify both sides

9b + 12 = 120 - 10b + b + 54

9b + 12 = - 9b + 174 ( add 9b to both sides )

18b + 12 = 174 ( subtract 12 from both sides )

18b = 162 ( divide both sides by 18 )

b = 9

Substitute b = 9 into (1)

a = 12 - 9 = 3

Thus

the original 2 digit number = ab = 39

The reversed 2 digit number = ba = 93

which is 54 more than the original number

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3 years ago

Who is correct science or religious

kati45 [8]

Answer:

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3 years ago

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The coordinates of Trapezoid EFGH are E(8, 8), F(8,10), G(1, 6), and H(4, 1). The image of EFGH under dilation is E’F’G’H’.

Sergeu [11.5K]

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.

Below are the choices:

A) (2, 6)
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The answer should be: (4, 5)
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nasty-shy [4]

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3 years ago

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