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Arlecino [84]
2 years ago
8

The degree measure of one of two complementary angles is twice that of the other. What is one of the degree measures of the angl

es?
A.) 30 degrees
B.)40 degrees
C.)45 degrees
D.)27 degree
Mathematics
2 answers:
Anika [276]2 years ago
5 0
<h3>Question :</h3>

The degree measure of one of two complementary angles is twice that of the other. What is one of the degree measures of the angles?

<h3>Answer : </h3>

A.) 30 degrees

<h3>Solution :</h3>

Let one angle = x

According to statement,

Another angle = 2 × first angle

\sf : \implies Another \: angle = 2x

Now, we know that sum of complementary angles is 90°

Hence,

\sf : \implies x + 2x = 90^{\circ}

\sf : \implies 3x = 90^{\circ}

\sf : \implies x = \dfrac{\cancel{90}^{\circ}}{\cancel{3}}

\sf : \implies x = 30^{\circ}

\Large \underline{\boxed{\sf{ x = 30^{\circ} }}}

Therefore, one of the angle is 30°.

Another angle = 2 × 30° = 60°

IgorC [24]2 years ago
3 0

Answer:

30°  is one of the degree measures of the angles.

Hence, option (A) is true.

Step-by-step explanation:

  • Let 'x' be the degree measure of the first angle.

Given that the degree measure of one of two complementary angles is twice that of the other.

  • Thus, the other angle = 2x

<em><u /></em>

<em><u>Complementary angles</u></em>

  • We know that two angles are termed as complementary angles when the sum of their measured angles is 90°.

Thus the equation becomes

x + 2x = 90°

3x =  90°

Divide both equations by 3

3x/3 = 90°/3

x = 30°

Therefore, 30°  is one of the degree measures of the angles.

Hence, option (A) is true.

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What is the effect in the time required to solve a prob- lem when you double the size of the input from n to 2n, assuming that t
Inga [223]

Answer:

f(2n)-f(n)=log2

b.lg(lg2+lgn)-lglgn

c. f(2n)/f(n)=2

d.2nlg2+nlgn

e.f(2n)/(n)=4

f.f(2n)/f(n)=8

g. f(2n)/f(n)=2

Step-by-step explanation:

What is the effect in the time required to solve a prob- lem when you double the size of the input from n to 2n, assuming that the number of milliseconds the algorithm uses to solve the problem with input size n is each of these function? [Express your answer in the simplest form pos- sible, either as a ratio or a difference. Your answer may be a function of n or a constant.]

from a

f(n)=logn

f(2n)=lg(2n)

f(2n)-f(n)=log2n-logn

lo(2*n)=lg2+lgn-lgn

f(2n)-f(n)=lg2+lgn-lgn

f(2n)-f(n)=log2

2.f(n)=lglgn

F(2n)=lglg2n

f(2n)-f(n)=lglg2n-lglgn

lg2n=lg2+lgn

lg(lg2+lgn)-lglgn

3.f(n)=100n

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the time will double

4.f(n)=nlgn

f(2n)=2nlg2n

f(2n)-f(n)=2nlg2n-nlgn

f(2n)-f(n)=2n(lg2+lgn)-nlgn

2nLg2+2nlgn-nlgn

2nlg2+nlgn

5.we shall look for the ratio

f(n)=n^2

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the time will be times 4 the initial tiote tat ratio are used because it will be easier to calculate and compare

6.n^3

f(n)=n^3

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the ratio will be times 8 the initial

7.2n

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5 0
2 years ago
Can u please help me with this math assignment
Troyanec [42]
Hard to read sideways but what I got from that is that you have a right triangle and you are trying to explain the other angles? 
Both of the other two angles would be 45 because an angle is 180 total. If it is a right angle, that means that there is a 90 degree angle. 180-90=90. In a right angle, the other two angles are the same in degree. Therefor 90/2 is 45. 45 applies to both of the acute angles. I hope this helps! Good luck :)
6 0
3 years ago
Plz help meh
dusya [7]

Answer:

Step-by-step explanation:

The rock will hit the surface when its height equals zero.

t^2-8t-10=0

t^2-8t=10

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(t-4)^2=26

t-4=+(26^(1/2))

t=4+(26^(1/2))

t=9.1s

8 0
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