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3 years ago

An angle measures 27.8° more than the measure of its complementary angle. What is the measure of each angle?

Mathematics

2 answers:

Komok [63]3 years ago

7 0

The smallest angle is 31.1 and the larger angle is 58.9

Neporo4naja [7]3 years ago

4 0

Kkkkkkkkkkkkkkkkkkk‍♂️

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What are the real and complex solutions of the polynomial equation? x^4-41x^2=-400. *work needed*

pickupchik [31]

<h3>Answer: x = -5, -4, 4 and 5.</h3><h3>All four zeros are real solutions.</h3>

Step-by-step explanation:

Given the polynomial equation $x^4-41x^2=-400$ .

Adding 400 on both sides to get rid 400 from right side and set 0 on right side, we get

$x^4-41x^2+400=-400+400$ .

$x^4-41x^2+400=0$ .

Factoring by product sum rule.

We need product of 400 and sum upto -41.

We can see that 400 = -25 × -16 = 400 and -25-16 = -41.

Therefore,

$x^4-25x^2-16x^2+400=0$

Making it into two groups, we get

$(x^4-25x^2)+(-16x^2+400)=0$

Factoring out GCF of each group, we get

$x^2(x^2-25)-16(x^2-25)=0$

$(x^2-25)(x^2-16) =0$

Factoring out $(x^2-25)$ and $(x^2-16)$ separately by difference of the squares identity $a^2-b^2=(a-b)(a+b)$ , we get

$(x^2-25) = x^2-5^2= (x-5)(x+5)$ and

$x^2-16 = x^2-4^2 =(x-4)(x+4)$ .

Therefore,

$(x-5)(x+5)(x-4)(x+4) =0$

Applying zero product rule,

x-5=0

x+5=0

x-4=0 and

x+4=0.

Therefore,

<h3>x = -5, -4, 4 and 5.</h3><h3>All four zeros are real solutions.</h3>

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3 years ago

Which of the following statements is true about the relationship between the decimals 0.09 and 0.9?

anygoal [31]

The answer is to the qieston would be B

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4 years ago

Solve for x. 2x+3=13

Gwar [14]

Answer:

The answer is 5

Step-by-step explanation:

First you subtract 3 from both sides and get 10. Then you divide by 2 and you get 5.

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3 years ago

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Please help me on this problem

KiRa [710]

Answer:

Step-by-step explanation:

Problem 2a

The total number of ways that he can deal with his room

is 3 * 2 * 3 = 18

Problem 2b

P(green, plaid, track) = 1/3*1/2*1/3 = 1/18

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The bedspread and the poster don't change. The word or in probability is a real stinker. In this case it means that there are 2 choices of paint color.

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3 years ago

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kkurt [141]

75.................................

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