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Vanyuwa [196]
3 years ago
14

Jonathan has 3/4 hour left to complete his homework he has 30 problems left to complete. How much time in minutes should Jonatha

n spen
Mathematics
2 answers:
Pavel [41]3 years ago
7 0

Answer:1.5 minutes per question

Step-by-step explanation:

Divide 45 by 30. 3/4 of an hour is 45 minutes. 30 questions to do in 45 minutes. That's 1.5 minutes per question.

Anastasy [175]3 years ago
6 0

Answer:

There are 45 mins in 3/4 of an hour.

Step-by-step explanation:

45 mins / 30 problems = 1.5 mins per problem

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Please Help Needed<br>:)​
dimulka [17.4K]

Answer:

The answer would be 2588766

Step-by-step explanation:

I don't I know how to explain it but hope it works..

6 0
3 years ago
Sin(x)^4+ cos(x)^4=1/2
posledela
I'll assume that what was meant was \sin ^4 x + \cos ^4 x = \dfrac{1}{2}.

The exponent in the funny place is just an abbreviation:   \sin ^4 x = (\sin x)^4.

I hope that's what you meant. Let me know if I'm wrong.

Let's start from the old saw

\cos^2 x + \sin ^2x = 1

Squaring both sides,

(\cos^2 x + \sin ^2x)^2 = 1^2

\cos^4 x + 2 \cos ^2 x \sin ^2x +\sin ^4x = 1

\cos^4 x + \sin ^4x = 1 - 2 \cos ^2 x \sin ^2x

So now the original question 

\sin ^4 x + \cos ^4 x = \dfrac{1}{2}

becomes
1 - 2 \cos ^2 x \sin ^2x = \dfrac{1}{2}

4 \cos ^2 x \sin ^2x = 1

Now we use the sine double angle formula

\sin 2x = 2 \sin x \cos x

We square it to see

\sin^2 2x = 4\sin^2 x \cos^2 x = 1

Taking the square root,

\sin 2x = \pm 1

Not sure how you want it; we'll do it in degrees. 

When we know the sine of an angle, there's usually two angles on the unit circle that have that sine.  They're supplementary angles which add to 180^\circ.  But when the sine is 1 or -1 like it is here, we're looking at 90^\circ and -90^\circ, which are essentially their own supplements, slightly less messy. 

That means we have two equations:

\sin 2x = 1 = \sin 90^\circ

2x = 90^\circ + 360^\circ k \quad integer k

x = 45^\circ + 180^\circ k

or 


\sin 2x = -1 = \sin -90^\circ

2x = -90^\circ+ 360^\circ k

x = - 45^\circ + 180^\circ k

We can combine those for a final answer,

x = \pm 45^\circ + 180^\circ k \quad integer k

Check.  Let's just check one, how about

x=-45^\circ + 180^\circ = 135^\circ

\sin(135)= 1/\sqrt{2}

\sin ^4(135)=(1/\sqrt{2})^4 = 1/4

\cos ^4(135)=(-1/\sqrt{2})^4 = 1/4

\sin ^4(135^\circ) +\cos ^4(135^\circ) = 1/2 \quad\checkmark


6 0
3 years ago
In right triangle ABC, m angle C equals 90 degree. If sin A equals 24 over 25, which function also equals 24 over 25?
Free_Kalibri [48]

Answer:

cos B

Step-by-step explanation:

Let us take a look at angle B

The side adjacent angle B is 24 while the hypotenuse (the side facing the right angle) is 25

The relationship between the adjacent and the hypotenuse can be mapped our using the cosine

So, the cosine is the ratio between the adjacent and the hypotenuse

Hence, cos B = 24/25

7 0
3 years ago
I NEED HELP!! with this homework please. For B,C,and D, if you know the answer please tell me I’m kinda confused.
oksano4ka [1.4K]

Answer:

Step-by-step explanation:

       Location    Reflect over x              Reflect over y

B      -0.75 ,1         -0.75 ,-1                           +0.75 ,1

C     1.75 ,-1          1.75,1                                 -1.75,+1

D      -2,-2           -2,+2                                  +2 ,-2

8 0
3 years ago
-3√-20 written as a complex number
galben [10]

Answer: 3√-20 = 3√20√-1 = (3√20)i


Step-by-step explanation:

√-20 can be written √20√-1 since

(√20√-1)^2 is indeed -20.

3 0
3 years ago
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